diff --git "a/data/dm_maths/full_data_2/2355_11255.jsonl" "b/data/dm_maths/full_data_2/2355_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2355_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeewwweeee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19505000 by -8.\nAnswer: 2438125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1666786777?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497356?\nAnswer: 2, 563, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76219810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155662709 by -61357.\nAnswer: -2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 10995.\nAnswer: 10995.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*z + 3, -z + 3*x - 4 = -1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueeeeeeeueeee. Give prob of sequence euee.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j - 4. Let n be b(3). Let y = 13 + n. What is the remainder when 17 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let j(z) = -z**2 - 102*z + 16641. What is o(j(s))?\nAnswer: -2*s**2 - 204*s + 33282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 89 = -2*g + 49, -2*w - 2*g = -74. Suppose 4*k = 68 + w. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 165*d - 3. Let f(n) = 332*n - 6. What is 2*f(b) - 5*m(b)?\nAnswer: -161*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -4, 4\/27, 0.4, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4020 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(5*(-1 + 3*sqrt(28)) + 0).\nAnswer: -120*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 + 1196*f - 21330. What is o(-215)?\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1655.9999999469 + -1656. Round j to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:10 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 47*z**2 - 77*z**2 + 46*z**2 - 11*z - 11. Let v = -28 + 40. Let r = v - 1. Let u(c) = 3*c**2 - 2*c - 2. Calculate r*u(f) - 2*w(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -112*a + 5459. Calculate p(48).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 17*o**2 - 17*o - 1. What is h(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-29 - 4)*(0 + -1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1466 by 75.\nAnswer: -1466\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603850 divided by 130.\nAnswer: -4645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 17 = 2*o. Let q be (-52 + o)\/((-3)\/(-6)). What is q rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-60))\/((-14)\/(-4)*(-64)\/112).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36015565 (base 7) to base 5\nAnswer: 1303242211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51323 - -74453. List the prime factors of i.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/(-1392))\/((-690)\/48)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**3*b)*b))**(2\/49))**(-3\/10)*b**(-1\/4)*b**9*b*b\/b**(-5)*b*b**5*b assuming b is positive.\nAnswer: b**(22259\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38734.8 + -38735. Let f be 3 + (0\/(-2))\/1. Put f, 2\/41, r, -5 in increasing order.\nAnswer: -5, r, 2\/41, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15532 or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9833\/760 + -214\/19. Find the common denominator of b and 73\/22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(7\/4))\/n**(-3\/7))**(-1\/6) assuming n is positive.\nAnswer: n**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 8*w + 3. Let x be r(-8). Let f be 2\/6 + 35\/x. What is the remainder when 10 is divided by (8\/(-12))\/((-2)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.336 (c) -412 (d) 4 (e) 1 (f) 0.3 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:59 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1098975*o**4 + 5*o**2 - 876028?\nAnswer: -4395900*o**3 + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 4)*(4*f - 3*f + f) + 3*f + 0*f - 2*f - 10*f - 20 + 20)*(f**2 - 2*f**2 + 3*f**2) - 5*f**2 + 2*f**3 + 5*f**2.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose 7*q + z = -3*k + 3*q, -3*k + 16 = -5*q. Which is the nearest to 0.1? (a) 0.5 (b) -1\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:48 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 87. Suppose -7*g - 50 = -5*d - 2*g, -3*g - v = -d. Let z(i) = 2*i**2 - 10*i - 1. Let b be z(5). Sort b, -4, d, -5 in decreasing order.\nAnswer: d, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 + 2*n - 4. Let h(b) = -b**2 + 18*b - 12. Let j be h(17). Let a be l(j). Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - -3) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 38*s + 32692 = 0. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9349.\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 257. Solve 0 = 517*u - 520*u - i for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -598, -587, -578, -571?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 y when three letters picked without replacement from {f: 1, y: 1, v: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (4 - 5 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5\/4 - 1963*p**4\/4 - 195199*p**3\/4 - 495881*p**2\/4 - 37635*p + 38025 = 0.\nAnswer: -195, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 5c1389?\nAnswer: 5c1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y - 5. Let f(s) = 9*s - 3 - 1 + 3. Calculate f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-37 - -33 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 - 17*y**2 - 13 + 50*y - 9*y**2.\nAnswer: y**2 + 50*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 149.8 - 149.8. Let r = -0.8 + 0.6. Let k = 0.11 + r. What is the nearest to m in -5, 2\/15, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/21 + (-5)\/(210\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320 + 318. Let a be ((-14)\/3)\/((-20)\/30). Let k = 9 - a. Sort 4, -5, d, k in decreasing order.\nAnswer: 4, k, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*t + 415*t + 18 = 3*p, 0 = 4*t - 3*p + 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.221 + -92.551. Let y = n + 76. Let u = y + 0.33. Put 4\/7, u, -1\/8 in descending order.\nAnswer: u, 4\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11033*k + 9040*k - 31824*k.\nAnswer: -33817*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5363 + 7663. Round d to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2604534*j + 4289*j**2 + 6707 + 2604534*j wrt j?\nAnswer: 8578*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2575*c**2 + 7763*c + 111. Give d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2495.427 - 2498. Let v = r - 1.281. Let u = 3.9 + v. Round u to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -724, -1558, -2600, -3946, -5692?\n\"Answer: -16*i**3 - 8*i**2 - 698*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -2 (c) -4.98 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 5 + 6*h**3 + 7*h**3 - 8 wrt h?\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 160?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 12. Which is the third smallest value? (a) y (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5116759, 5116763, 5116767, 5116771?\n\"Answer: 4*y + 5116755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1088*h**3 - 8*h - 24. Let d(t) = 362*t**3 - 3*t - 9. Give 16*d(c) - 6*f(c).\nAnswer: -736*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -0*r + 2*m, 4*m - 156 = -4*r. Suppose 39*b + 25 = r*b. Let x(o) = -o**3 - 5*o**2 + 2*o + 6. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(405) + -1 + sqrt(405) - sqrt(405))*-6 + -4) - ((sqrt(405) - 2*sqrt(405) - sqrt(405))*1 - (sqrt(405) + sqrt(405)*-3)*-6))**2.\nAnswer: -5472*sqrt(5) + 584884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5567 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -22\/71120623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 1\/5, -10.29, -0.3 in increasing order.\nAnswer: -10.29, -0.3, 0, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102231313320 + 0?\nAnswer: -102231313320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 5*r**4 + 5*r**2 - 42*r + 102*r - 50*r - 9*r**3 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 10*f**2 - 3*f - 9. Let b be x(-10). Let i be (0 + 2)\/(3\/b). Calculate the lowest common multiple of 8 and i\/(-4)*(-4)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 1 - 3 - 1 - 2. Let j(r) = 4*r - 4. Let p(h) = 5*a(h) - 6*j(h). Let k be p(4). Solve 0 = k*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133251, 533003, 1199255, 2132007?\n\"Answer: 133250*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 46.\nAnswer: 29\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 127, 1387, 4861, 11665, 22915?\n\"Answer: 186*z**3 - 9*z**2 - 15*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 + 13*f**2 - 4*f + 6. Let k(l) = -3*l**3 + 12*l**2 - 3*l + 5. Let t(y) = 6*g(y) - 7*k(y). Is t(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 39. Let n be -3*1\/5 + (-192)\/s. Let g(v) = -v**2 + 10*v - 5. Give g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 30. Let v(t) be the third derivative of t**5\/30 + t**4\/12 + t**3\/2 - t**2. Let l(y) = -6 - 7 - 5*y - 5*y**2 + 6. What is b*l(x) - 14*v(x)?\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 190681 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -24, 1, 56, 153?\n\"Answer: 2*i**3 - 3*i**2 + 2*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1677 - -74\nAnswer: -1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3110678064 divided by 4.\nAnswer: -777669516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n*v**4 - 26*n - 317*v**2 - 20*v wrt v.\nAnswer: 36*n*v**2 - 634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -835\/2 - -421. Let b(q) be the second derivative of m*q**2 - 7*q - q**3 + 0 - 1\/12*q**4. Let p(y) = -y**2 - 7*y + 8. Give 6*b(k) - 5*p(k).\nAnswer: -k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0*5\/5)\/(70\/(-70))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 458 + 82 = 0. Suppose 0 = -2*k - 4*k + j. Calculate the remainder when 71 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 6. Let q(z) = -z**2 + 2*z. Let t be q(3). Let w(d) = 26*d - 30. Let y(l) = t*w(l) - 16*x(l). Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.51 (b) 1\/8 (c) -2\/21 (d) -5 (e) 43.4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11939 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 25 = -5*n, 4*b = 4*n + 180. What is the remainder when 149 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -20\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 109*z**3 - 102*z**3 + 15*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/(-48) + ((-228)\/18 - -15)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 28 = 23. Suppose 3*g + 2*x - 57 - 32 = 0, -g + 3*x = -15. What is the greatest common factor of g and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110563836 divided by 3642.\nAnswer: 30358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*k**3 + 236*k + 14744?\nAnswer: -102*k**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 61*s + 900. Determine a(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.28 - 0.28. Let b = -129 - -139.9. Let d = t - b. What is the closest to -5\/3 in 0.2, d, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 619632 and 382512.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472611145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 - 6.7. Let k = -572801\/7990 + 3352\/47. Let f = -1\/34 + k. Which is the third biggest value? (a) f (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dbb19 (base 14) to base 9.\nAnswer: 1000406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40068 is divided by 20018?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 0.1 (b) -1368 (c) -5 (d) 0.4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/3*(-14 - 1532\/(-112)). What is the nearest to -1 in j, 4, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/8 - u**3\/3 - 18*u**2 + 13*u. Let k(i) = 3*i - 2. Calculate -6*k(c) + 5*n(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*z - 3*r + 1320, 0 = 5*z + 4*r - 1651. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1510155*h**6 - 1732523*h**2 wrt h?\nAnswer: -181218600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let r = 0.2 + b. Let t be ((-24)\/(-140))\/(9\/30). Sort r, t, 5 in increasing order.\nAnswer: r, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 + 4*t**2 - t. Let w(k) = k**3 - 5*k**2 - 5*k - 5. Let d be w(6). Let v(s) = s**3 - s**2. Let h(n) = d*f(n) + 4*v(n). Calculate h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.699105 or 5?\nAnswer: 0.699105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and ((-15)\/5 + -25)*-1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -17*n + 0 + 0*n**3 + 1\/2*n**2 - 11\/20*n**5 + 0*n**4. What is the first derivative of v(f) wrt f?\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1215\/7 - -6089\/35. What is the closest to 0.1 in 6, o, -9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 55824 = 306012. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2 - 5) + (-4 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(324)*-3 + sqrt(324)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a834 (base 15) in base 9?\nAnswer: 402544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505640 + 41694 = -8221*p - 333819 + 149484 for p.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(-1*sqrt(9)))\/sqrt(8).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(280))\/sqrt(8))\/(sqrt(42)\/(sqrt(6) + sqrt(6)*-2)) + ((sqrt(420)\/sqrt(7))\/sqrt(12) + (sqrt(5) + 0)*-2)**2.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-63))\/(132\/297)*2\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 g, and 1 f when four letters picked without replacement from {v: 4, g: 5, n: 1, i: 5, f: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x - 49*x - 2583 = 0. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 3. Let p(s) = -1. Give -c(t) + 3*p(t).\nAnswer: t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.811 - -5.211. What is the closest to -1 in -1\/3, -4\/3, 0.5, z?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/5*f**3 + 0*f - 6\/5*f**2 + 1\/5*f**5 + 0 - 6\/5*f**4 = 0. What is f?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 4 = -26*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f - 7. Let p be h(-2). Suppose p*c - 996 = -2*w, -2*c - 136 = -w + 369. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26560 - -26562. Let u(j) be the first derivative of -2 - 2*j + 0*j**2 + j + j**2. Determine u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + 9*x. Let k be d(-6). Let f = 1165 - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 34, 24, 14?\n\"Answer: -10*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + 7*x - 4. Let r be g(-2). Suppose -838 = -2*d - 5*l, -5*l = 4*d - r*l - 1676. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/12 and -31\/269024.\nAnswer: 807072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103809 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**3 + 15*f - 10. Let j be m(5). Suppose j + 7810 = h. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + 5 - 3 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let c(b) = 3*b + 5337076. Calculate c(q(z)).\nAnswer: -3*z + 5337076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092602058*s + 87*s**3 - 1092602058*s.\nAnswer: 87*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 931095.5ml in litres?\nAnswer: 931.0955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111111101111011111 + -1100?\nAnswer: 1100111111101111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -62816232.9 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -28 (b) 0.01 (c) -2\/7 (d) 1\/5 (e) 0.5 (f) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = 5*b + 919, 5*y - 3*b + 169 = b + 25 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5 and -996.\nAnswer: 9462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojzoo. What is prob of picking 1 z and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10705850 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w - 13. Let y(o) = -5*o - 5. Let f(r) = 6*g(r) - 17*y(r). Give f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 5. Let b be m(21). Let s be ((-3)\/(-6))\/(2\/b) + 160. Suppose -c = -4*x + 604, -s = -x - 4*c + 3*c. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 - 7*c - 1. Let n be q(6). Let x = n + -20. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2 + 1 + 0 + 31*g**2 - 6*g**2 - g. Let y be v(-1). Suppose -1 = -5*o - 3*a, 0 = 2*o + 3*o - 5*a - y. Calculate the greatest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 25\/((-53200)\/23952) - (-4)\/(-7)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owmmrovvowovvvvv. What is prob of picking 2 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52.87 times -0.199\nAnswer: 10.52113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g - 25 + 4*g**5 + 48*g**3 + 14 + 12 + 23 + 8*g**2 - 32*g**4 = 0. What is g?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2325782058 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*s - 2, 217*a - 3*s = 216*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119.2 and 0.4?\nAnswer: 47.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174103514 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: Let l(s) = 3*s - 4. Let k(r) = 18*r - 24. Let b(y) = -6*k(y) + 39*l(y). List the prime factors of b(10).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*l + 47*l + 35 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27071249, -27071248, -27071247, -27071246?\nAnswer: -27071245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 5:05 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 - 6166*c**2 - 12338*c - 6170 = 0.\nAnswer: -1, 3085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 s, and 1 j when four letters picked without replacement from {j: 3, s: 5, h: 5, b: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16489 is divided by 1378.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by -149.\nAnswer: 266\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7999\/10 - 794. Calculate the common denominator of (-6)\/15 - 33*55\/400 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 37*o - 17 + 37*o.\nAnswer: 7*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 + 9*v + 10. Suppose 14 = -2*n - 5*z + 40, -5*n - 2*z + 44 = 0. Let c be d(n). Differentiate -x + 6*x + 9 - c + 4*x wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -504, 4, 3, 0.1, -1\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 + 402. Let n = q + 529. What are the prime factors of n?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 37*c + 73. Let i be l(-39). Let b(d) = -7*d - 31. Let g be b(i). Are g and 9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 4704?\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j + 250. Suppose i + 4 = 0, -2*n + j = i + 2*i. Let w = -1 + 63. What is the greatest common factor of w and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -1639.\nAnswer: -4261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + h**3 - 4 - 3 + 3 - h**3 + (0*h + 0*h + h**2)*(h + 3*h - 6*h) + (0 + 0 + h)*(11*h - 11*h + 5430*h**2 - 6284*h**2).\nAnswer: -856*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + h - 1. Let s be v(1). Suppose u = -3*u + 2*r + 24, -4*r - 8 = -s*u. Solve i + i + u = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 344208218?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234764 by 234764.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q + 14*q + 21*q + 4902 = -6*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.26 (c) 5 (d) 4 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5066 and -5\/3417911.\nAnswer: 116208974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 12*v + 8*v)*(0 - 6 - 2)*(-v**2 + 3*v**2 - 4*v**2) in the form k*v + y*v**3 + b + r*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 39 = 15. Let v be (-9)\/(0 - c\/(-8)). Let b(f) = f**3 + 6*f**2 - 4. Give b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a409 (base 11) to base 15.\nAnswer: -16697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 8*i. Let f be m(-10). Suppose 0*k = -4*k + f. Solve 0 = -3*l - 4*d + 12, 3*l - 13 + 1 = k*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -5. Let t(m) be the second derivative of -m**5\/20 - m**4\/4 - m**3\/2 + 8*m. Determine t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4581, -9157, -13727, -18291, -22849, -27401, -31947?\n\"Answer: 3*n**2 - 4585*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3653 is divided by 846?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3138 + 3139. What is the nearest to -1 in 1\/15, 2\/13, d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 0*u**2 + u**2 + 2*u**2 - 3*u + 3*u + (11*u + 6*u + u)*(u + 0*u - 2*u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 40*l**2 + 227*l + 67. What is t(-45)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62679 rounded to 3 decimal places?\nAnswer: 0.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 68, 39, -12, -91, -204?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 541*u**5\/20 + 2381*u**4\/24 + 543*u**2. What is the second derivative of h(q) wrt q?\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-4 - -9))*(-872)\/(-16). Let a = -47 - h. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 579006370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1309, -5278, -11907, -21196, -33145?\nAnswer: -47754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-261)\/30*10\/(-444). Let u = -916\/3589 + 30\/97. Let z = t + u. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -5*y + 101*c - 105*c, -5*y - 3*c = -169. What is the greatest common divisor of y and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l - 4*l**3 - 1 + 3*l**3 + 19*l + l**2 to j + y*l**3 + h*l**2 + c*l and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3353146 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5210, -5466, -5908, -6542, -7374, -8410, -9656?\nAnswer: -11118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*n + 21 = 0, 5*n + 18 = -2*q + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 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: What is the remainder when 59 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 - 220. Sort u, 0, 4 in ascending order.\nAnswer: u, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/9 - 34*y**4\/9 + 176*y**3\/9 - 16*y**2 - 96*y + 96.\nAnswer: 2*(y - 6)**3*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g + 3336. Let q(v) = 6*v. What is q(y(h))?\nAnswer: 6*h**2 - 6*h + 20016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Let b = -10 + -5. Let f(x) = 29*x + 156*x + 3 - 187*x. Determine b*m(n) - 5*f(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16119 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-22)\/11 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-2 - 2) + 442\/52). Which is smaller: 2.99 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 373, 367, 359, 349, 337, 323?\n\"Answer: -s**2 - 3*s + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(5) + -1) + -3)**2 + (6*1*sqrt(15))\/(sqrt(12)\/(sqrt(4)*-1)).\nAnswer: -330*sqrt(5) + 783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 9:32 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 910.1148 minutes?\nAnswer: 54606.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058587 rounded to 4 dps?\nAnswer: -0.0586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 40 = -3*u - 5*j, 5*u + 13 = 3*j. Let l = u - -19. Suppose -5*w = p - 13, l = -3*p + 5*w + 53. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 79235*y**2 - 158485*y - 79245.\nAnswer: 5*(y - 15849)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.115 and -19.\nAnswer: 2.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -6*v + 392. Let t = 63 - v. Let g(d) = -d**3 + 8*d**2 + 2*d - 2. What are the prime factors of g(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 358*r + 18698. Determine b(-52).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-6\/11)\/k)*k**(1\/8))\/(k**(-3\/2)*(k\/(k**(-1\/4)*k*k))\/k*k)*((k\/(k**2\/k)*k*k)**41)**(-4) assuming k is positive.\nAnswer: k**(-28431\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3084 and 149\/360.\nAnswer: 92520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42031 and -5.\nAnswer: 210155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 7*g + 10. Let r be m(8). Let j be (-3 - -8 - 2 - r)*12. Solve 3*l - 4*d = -d - j, 4*l + 16 = 5*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-288 - -300) + 54\/3. Solve 38*l + 32 = i*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from duubc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*h**3)*((-2*h - 2*h - h)*(5*h - 6*h - 5*h) + 5*h**2 - 4*h**2 + h**2 + 3*h**2 - h**2 + 0*h**2).\nAnswer: -68*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177 - 2?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-26)*i)\/(((((i\/(i*i**(1\/16)*i))\/i)\/i)\/i*i)\/i*i) assuming i is positive.\nAnswer: i**(-335\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 33*r**2 + 35*r + 110. Calculate a(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(12\/(-9))\/((-56)\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o**3 - 2*o**2 + o. Let l be t(1). Solve -4*c = 5*z - l, c + 3 = 2*z + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hphpwphphwhhh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.79697 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-8) - -1)\/(10\/120). Let s be (-1 + -1)\/(2\/4). Let h be (-246)\/a + s\/(-14). Solve 5*j - 9 + 3 = -2*v, v = 5*j - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(2\/51))\/b*b)*b\/b**18*b*b*(b**(-1\/8))**(18\/7))**(7\/10) assuming b is positive.\nAnswer: b**(-21823\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1049820a - -29?\nAnswer: -10498191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from wngw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/81)\/(2\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 + (-1230)\/24*1 + 111\/(-37)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 12*j**4 + 34*j**3 + 12*j**2 - 32*j = 0 for j.\nAnswer: -8, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20502 or -20501?\nAnswer: -20502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {f: 3, s: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 32*b = 27342. Suppose 0 = -23*y - 8*y + b. Which is bigger: y or 249\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -82 + (-4 + 0)\/(-4). Let a = i - -86. Solve 3*s + b - 7 = 2*b, a*b = -5*s - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2. Let y(g) = -3 - 7*g**2 - 817*g + 812*g + 3. Let n(p) = 7*p**2 + 4*p. Let a(z) = -7*n(z) - 6*y(z). Calculate b(a(l)).\nAnswer: 49*l**4 - 28*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2354*w**2 + 5*w + 69319 wrt w.\nAnswer: -4708*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247538410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 1 = 5*r. List the prime factors of ((-6)\/4)\/(r\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000010111111100011 (base 2) in base 11?\nAnswer: -823a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/(-21) + -3)\/(29\/(-1131)). Let t = 421\/21 - q. Find s, given that -8\/3*s**2 + 0 + 2\/3*s**3 - t*s = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15 - 2*k - 5 + k. Let b be w(6). Solve -d - 25 = b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1389 - 1388. Sort g, 2, 4.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d**4 + 0*d**6 + 0*d + 2\/3*d**3 + 0*d**5 + 1\/70*d**7 + 0 + 2*d**2. Differentiate y(k) with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*587\nAnswer: 35220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1491 - 1490.999619. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.88265353 to 3 dps.\nAnswer: 106.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 142561.1679 to the nearest ten.\nAnswer: 142560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*x + 30 = 3*x, 4*x - 14 = -z. Let k(i) = z - 5 - 5 + 3 + 5*i. Let l(m) = 5*m. Give k(l(a)).\nAnswer: 25*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 69213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 35\/4. Let x be 2\/((-64)\/(-12))*36\/(-54). Which is the closest to x? (a) u (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 28 + 28)*(5*h + 1 - 2*h - h).\nAnswer: -8*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(270)*-1 - sqrt(30)))\/(sqrt(50)\/sqrt(245))*-2)**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2020 and 6722560?\nAnswer: 6722560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300, 718, 1376, 2274, 3412, 4790, 6408?\n\"Answer: 120*d**2 + 58*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 24409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.12 + 29.12. Which is the closest to -6? (a) -3 (b) 1\/4 (c) h (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1183 - -0.0183. Let r = 0.05 + -0.02. Let f = r + 0.07. Which is the second smallest value? (a) p (b) 1\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*p = 8*p + 2*k - k + 2, -k = -3*k + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**3 + m**2. Let o(p) = -8*p**3 + p**2. Let l = 1817 - 1812. Determine l*f(z) - 6*o(z).\nAnswer: 13*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u**2 - 192 + 195 + 11*u**2 to v + d*u + w*u**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -256\/31?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*c - 2*c**3 - 1418*c + 0*c**3 + 709*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*a + 12, 0 = 2*r - 4*r - 4*a - 2. Put r, -16, -1 in decreasing order.\nAnswer: -1, r, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212 * 0.5.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 47*r - 9. Let f(d) = d - 3. Determine 3*f(k) - m(k).\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**10*a)\/a)**(-35)\/(a**2\/(a*a**(-3)*a)) assuming a is positive.\nAnswer: a**(-388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*u - 49*u + 74211. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 4 = -8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(60) + ((sqrt(600) - (sqrt(600)*-3 + sqrt(600)))\/sqrt(10) - sqrt(60)))\/sqrt(12) - (sqrt(30)\/(-1*sqrt(24)))**2) + 1.\nAnswer: -18*sqrt(5) + 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose 3*z + 2*k - 15 = 0, b = 2*z - 4*z - 4*k + 18. Solve -z = 2*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1947 - 1741. What is the third biggest value in -5, 1, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 6, b: 5}. Give prob of sequence hh.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/9429 - -3111428\/669459. Let g = t + 14605\/142. Let a = g - 124. What is the common denominator of a and 77\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -12. Let b(p) = 3*p**3 - 10*p**2 - 2*p**3 - a + p - 6. Let y be b(10). Solve q + 20 = -4*h, -24 = 3*h + 3*q - y*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035891 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21787\/978 + -18\/163. Find the common denominator of b and -59\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.855 + -2462.855. Let f = -2462.3867 - s. Let w = f - -0.38. Round w to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 362501*i**4 - 4*i**3 + 35844265 wrt i?\nAnswer: 1450004*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22017*j**3 - 22101*j**3 + 44117*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 10\/(-2) + 2. Let k = j + 3. Let u be ((-2)\/(-4))\/((-18)\/(-8)). Which is the nearest to k? (a) u (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -135*x - 262 + 89 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 402, 1358, 3216, 6276, 10838, 17202, 25668?\nAnswer: 36536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = -13*p - 709. Let y = 91 + p. Solve 0 = y*z - 3*v + 2*v + 25, -2 = -2*z - 2*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 6. Let y = -8 + i. Which is greater: y or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 66. Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:28 AM?\nAnswer: 469","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 666\/1480*5\/(-1)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60425*a**5 - 5*a**4 - 748*a + 106 wrt a.\nAnswer: -1208500*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 234*n + 2. Let q(g) = -g**2. What is a(q(d))?\nAnswer: d**4 - 234*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -574481790 divided by 19149393?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a - 1. Let g(v) = -v + 1. What is -3*g(t) + h(t)?\nAnswer: -21*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/24*(2 - (-2 + 28)). Let b(a) = 17*a + 159*a**2 - h*a**2 - 17*a. Let k(l) = -6*l + 20*l + 17*l - 4*l. Calculate b(k(m)).\nAnswer: -729*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/3)*r*r)**(15\/8)\/((r\/(r\/r**2))\/r*r*r*r**(-2\/17)))\/(r\/(((r*r\/(r\/(r\/r**1)))\/r)\/r)*r**(-6\/11)*(r\/(r**1\/r))\/r**0) assuming r is positive.\nAnswer: r**(2301\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2810424+-326\nAnswer: 2810098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*c + 8*y = 3*y - 46 - 209, -2*c - 5*y - 12 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjz when three letters picked without replacement from vjjjjzzjjjjjvj.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = -12. Calculate the remainder when ((-6)\/(-9))\/((-5)\/(-165)) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4982*i**6 - i**3 - 72*i**2 - 5*i - 1.\nAnswer: 597840*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3368*o**3 - 17*o + 16. What are the prime factors of x(1)?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o. Let m be a(2). Suppose 11 = -4*d - 1. Calculate the remainder when d\/(-1)*(-80)\/m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*m**3*z**3 - 3*m**3 - 13*m*z**4 + 2627*z**2 wrt z.\nAnswer: -90*m**3 - 312*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -98. Suppose -15*m = -t*m + 5610. What are the prime factors of m?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 381842424*t**3 - 2112*t**2 - 5743?\nAnswer: 2291054544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -27. Let q be (-96)\/(-112) + 87\/21. Sort 0, p, q.\nAnswer: p, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3 - 7. Let m be (0 - b)*(-3)\/2. Suppose m*a - 212 = -a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6163516*n**4 - 4051882*n**2 - 4 wrt n.\nAnswer: -147924384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -13*r - 569 + 456, r = -3*n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 321 = j - 3*t, 5*j + 3*t = 1587. What is the common denominator of -1 - 26952\/(-7360) - 9\/((-207)\/(-2)) and j\/(-15)*15\/(-18)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 0.4657602.\nAnswer: -5.5342398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**3 + 0*i**2 + 2*i**2 - 2*i**2 + 30*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 n, and 1 o when four letters picked without replacement from cccneecwcccnoq?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 2*a. Let k(r) be the first derivative of -2*r**3 + 7*r**2\/2 + 903. Give -7*d(y) + 2*k(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -53. Let j(k) = 4*k**3. Let x(f) = 2*f**3. Determine a*x(z) - 2*j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3 = 5*l, -3*y + 959*l - 957*l - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34747 bigger than 35281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 4 + 3 + 3 + sqrt(343) + sqrt(343))**2*1.\nAnswer: 300*sqrt(7) + 1675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 + 7*y. Let k = -2 - -7. Suppose 26 + 30 = 4*p. Calculate the lowest common multiple of p and d(k).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h - 1. Let j(m) = 5*m. Calculate -3*f(y) - 8*j(y).\nAnswer: 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 12, g: 1}. Give prob of picking 1 c and 3 y.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(27)*3.\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 18. Suppose 2*l + 8 = 0, 3*j + v = -2*l + 13. Suppose j*q = -4*c + q + 8, 0 = -4*c + q + 8. Solve -2*d + 5*u = c*d + 5, 0 = -3*u + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128\/224)\/(2\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6493*y = -3*s + 6495*y - 7, 5*s - 2*y = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 + 1 = 0. Suppose 5*o - 3*o - 26 = -4*x, 5*o + 19 = h*x. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + 61\/7. Suppose l = m*l. Factor 4\/5*a + l + 2\/5*a**4 - 4\/5*a**3 - 2\/5*a**2.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1096 and 2055?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 195 - 747 = 0. Let j = -16 - n. What is j rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1123*v**2 + 5*v + 47. Calculate m(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4 = -z - 1, -2*w - 4*z = -24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/20)\/(-3) + (-1)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.3 (b) -307 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -46*b + 5. Let m(l) = -l**2 + l - 3. Let j be m(0). Is d(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -668844\/17 > -39344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.5. Suppose 0 = -0*n + 5*n - 0*n. Sort h, n, 1\/2, -1\/5 in descending order.\nAnswer: 1\/2, n, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019331 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 27*b + 66. Let c(y) = -y**2 + 2*y**2 + 3*y + y**2 - 3*y**2 + 5. Let l be c(5). Sort 4, b, l in decreasing order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 111 + 95\/42*t**7 - 2*t + 0*t**4 + 0*t**5 - 149\/6*t**3 + 0*t**2 + 0*t**6. Find the second derivative of g(i) wrt i.\nAnswer: 1900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 35*i - 216 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -1096, -2081, -3358, -4927, -6788?\nAnswer: -8941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-36))\/(-3*2\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 11*y + y + 14 + 8.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose 0 = n + s - 3. Let k(f) = 0 + 9*f + 1 - n*f. Give k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 17\/2)\/(1\/2). Suppose -5*l - q = h - 0*l, h - 2*l - 7 = 0. Solve -17 = -r + h*v, 2*r + 0*r + 5*v + 21 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -33, -692, 5 in descending order.\nAnswer: 5, -33, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240.5 - -241. What is the third smallest value in -1, v, 2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9 = 2*a, -2*r + 37*a = 36*a + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 406\/27 + 616\/135. Let v = 274\/15 - i. Put v, 7, -4 in increasing order.\nAnswer: -4, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -379091?\nAnswer: -379091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**3 - 2*n**2 - 3*n + 7. Let i(x) be the second derivative of x**5\/4 - x**4\/12 - x**3\/6 + 3*x**2\/2 + 5*x + 61. Calculate -3*c(f) + 7*i(f).\nAnswer: 2*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*x = -83, x + 15 = -3*r - 26. Let d = r + -4. Let u be (d\/(-9) + -2)\/((-2)\/(-4)). Which is the nearest to -3\/2? (a) u (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -514 in 42, 11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -24, 4326 in decreasing order.\nAnswer: 4326, 2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 52 = 38. Solve -8*v = -o*v - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 13*o + 35. Let h(p) = -p**2 - p - 1. Let b(f) = -2*h(f) - v(f). Let k be b(13). List the prime factors of ((-2)\/k)\/((-1)\/(-91)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjjjjjjyjygjjjjyyjy. What is prob of sequence yjj?\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144683 is divided by 2832.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 - i - 1. Let o(w) = -1578*w**2 + 1578*w + 1578. Calculate o(c) + 1578*v(c).\nAnswer: 1578*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -686374 divided by -4\nAnswer: 343187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2, y: 1, k: 5, i: 3, w: 1}. Give prob of sequence id.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1222987\/56 - -21842. Let f = d - 3977\/504. Calculate the common denominator of 109\/10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1788482755 and 153922?\nAnswer: 153922.1788482755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (42\/(-189) + (-168)\/(-27)))*54. Is -50 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + 13 - (5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**2 + 21\/4 - 5\/2*k.\nAnswer: (k - 7)*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-7 + 6))\/4*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -970.9 and 16.\nAnswer: -15534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/6 - w. Suppose f + 4*h = 26, 37*f - 34*f - 8 = -2*h. Let u(a) = -5*a**2 + 2*a. Determine f*t(k) - u(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25\/2 - -13. Which is the closest to 1\/4? (a) -0.1 (b) x (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by -22033?\nAnswer: 148\/22033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-13)\/2. Let m be (20\/(-8)*-2)\/1. Let c(b) = b**3 - m*b - b + b + 5*b**2 - 1 - 2*b. Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 6934.\nAnswer: -6931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/18)\/o**9)\/(o**(-3\/7)\/(o**(2\/19)\/o))*(o**(2\/5)\/o**(1\/3))\/(o*o*o**(-1\/2)\/o)**15 assuming o is positive.\nAnswer: o**(-100811\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/360 - n**5\/30 + n**4\/12 + 7*n**3 - 45*n**2. Let v(b) be the first derivative of o(b). Give v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6495*t - 6494*t + 4 = -3*h, -4*t = -5*h - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -0.13 (c) 17 (d) 12\/19 (e) 0.3 (f) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*j + 4*j - 40, -j = 5*i - 20. Let v(w) = 3*w**2 + 14*w - 3. Let f be v(j). Solve -1\/7*a + 0 - 1\/7*a**f = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2269 - -1691. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 361.\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {r: 1, h: 1, o: 3, e: 2, d: 8, n: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -605 + -4?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(1\/5)*d)**(1\/17)\/((d*d\/(d\/d**(4\/3)))\/d**(2\/7))*d**1\/d**(1\/6)*(d**(2\/11))**(-12) assuming d is positive.\nAnswer: d**(-41221\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, -8, -199, 3, 9.\nAnswer: -199, -8, -4, -3, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from llwwtawwlw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -37.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 2, z: 1, c: 2, w: 1}. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18601 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: Let 4*w**5 - 10615*w**4 + 7941394*w**3 - 37535428*w**2 - 1288535292968*w - 322131353152 = 0. Calculate w.\nAnswer: -328, -1\/4, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a = 1868 - 1868 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 1. Let z = a + 9. Which is greater: z or -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 23*m - 13*m + 3*m as w + p*m and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/26 and -113\/29766.\nAnswer: 386958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 32 - 107 = -3*k, -2*j - 4*k + 44 = 0. Let n = j + 16. Let m = -26 + n. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 9*f + 1. Give d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvvdzthht. Give prob of sequence hv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6211290359 rounded to the nearest 100000?\nAnswer: 6211300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and -8666561?\nAnswer: 8666596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*f*o**2*x + f*o**2 - 182*f*o*v - 9*f*v*x - 3*o**2*v*x - 6*o**2*v + o**2 wrt x?\nAnswer: -63*f*o**2 - 9*f*v - 3*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {l: 2, h: 5, r: 1, q: 2, a: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*i**4 - 63\/2*i**3 + 0 - 825\/2*i - 405\/2*i**2.\nAnswer: -3*i*(i + 5)**2*(i + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 462.\nAnswer: 18018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 4 + sqrt(30)\/sqrt(6))**2 + (sqrt(70)\/(sqrt(28)\/sqrt(4)) - sqrt(10))\/((sqrt(16)*2)\/sqrt(8)).\nAnswer: -54 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2) + sqrt(2))*6 + (-5 + sqrt(72))**2.\nAnswer: -18*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 3*x - 10. Give z(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*x - 1397824*o**3 + 39504*o**2*x + 113*x wrt o?\nAnswer: -12*x - 8386944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -96. Suppose -y + 8 = -p. What is the first derivative of -12 - 32*l**3 - p + 44 wrt l?\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -101. Suppose 3*r - 89 - t = -a, -5*r + 2*a + 261 = 0. What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**2\/2 - 42. Let t(z) = 0 + 0 - 2*z. Calculate t(h(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - 345\/9. Let x = -28 - j. Let b(m) = -4 + x*m**2 + 2*m**3 + 10 - 3*m + 4*m**3. Let y(z) = 2*z**3 + 4*z**2 - z + 2. Determine 4*b(q) - 11*y(q).\nAnswer: 2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 6.3 (c) 2\/9 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3515 + 0.5.\nAnswer: -3514.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let n(m) = m**2 - 8*m + 16. Let o be n(6). Suppose 6 + 17 = w - 4*h, 0 = o*w + 2*h - 2. Give c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - 12.19. Let q = -76862830 - -76862817.9999986. Let r = q - v. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301324 (base 5) in base 13?\nAnswer: b627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10322 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - sqrt(180)*5))\/(sqrt(1210) + ((sqrt(1210) - -2*sqrt(1210)) + sqrt(1210) - sqrt(1210))).\nAnswer: 15*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-665)\/(-171) + 0)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(21)\/(sqrt(1008)*-3) + ((sqrt(363) + -1 + 4)*5)**2.\nAnswer: 59399*sqrt(3)\/36 + 9300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 221*f + 782562 = 0 for f.\nAnswer: -781, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**1*m**(-6)*(m*(m*m*m**(-11\/5))\/m)\/m*m**7 assuming m is positive.\nAnswer: m**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -2923.\nAnswer: 17\/2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65668.28l?\nAnswer: 65668280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-2*q + 2*q - q)*(-3 + 1 - 3) + 628*q - 664*q - 707*q as i + k*q and give k.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -115331666\nAnswer: 3\/115331666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -850, -721, -582, -433?\n\"Answer: 5*k**2 + 114*k - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 3*z**3 - 2*z**2)*(-5 + 3*z + 5) to the form d + j*z**3 + x*z + p*z**2 + q*z**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**15\/(u**0*u*u*u*u**4))**8 assuming u is positive.\nAnswer: u**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6396*z - 155 - 155 - 166 + 476.\nAnswer: -6396*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13526 is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1373 - -542?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -133*300\/(-219450) + (964\/11)\/2\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -5*j + 1, h - j = 3. Let x = h + -4. Factor -2\/5*g - 2\/5*g**x + 0 + 2\/5*g**3 + 2\/5*g**4.\nAnswer: 2*g*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8850 and -33\/3280400?\nAnswer: 9841200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*c + 62 = 0, c - 2*c = -3*p + 166. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675987056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 3*d - 407. Let q be (24\/36)\/((-2)\/d). Let r = q - -37. Solve 2*u + 0 + 8 = r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 597, 887, 1179?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/3 + 6*m**2 - 4*m - 8. Let n be q(10). Sort 5, 1, n, -2 in increasing order.\nAnswer: -2, 1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**9\/37800 - p**7\/1050 + p**6\/225 - p**5\/100 - 3*p**4\/4 + 20*p**2. Let v(l) be the second derivative of f(l). Factor v(k).\nAnswer: 2*(k - 1)**3*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*f - 0*u + 165, -2*f - u - 81 = 0. Let v = -573\/1111 - 3\/101. Let b = 35\/44 + v. Sort f, -1, b in descending order.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3761 + -123.5239. Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 2*j + 16 + 19 + 1 + 0*j**3 to h*j + d*j**2 + o + u*j**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -21. Suppose -b + 3 = -13. What is the remainder when q is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000070915336 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-84))\/((-1)\/((-24)\/18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1 - 2 - 2*f + f. Let h = 3 + -1. Calculate the remainder when l(-6) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*m + 15, 4*m + 3 = -4*v + 3*v. Let o(z) = -z**3 - 3*z**2. Let w be o(v). Are w and 0.13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 7 - 14067*n - 10*n**2 - 9*n**2 + 14066*n to the form f*n**2 + a*n + l*n**3 + q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 0.4, 1.832, -3\/5 in increasing order.\nAnswer: -3\/5, -0.5, -0.1, 0.4, 1.832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/18 - 329\/(-42) - 7. Suppose 0 = u + 3*u + 16. Let s be ((-2)\/4)\/(2\/4). Sort u, s, 8, r.\nAnswer: u, s, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 14\/(350\/25)*1267.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 15*l - 40 = 0. Solve -6*u + l = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 658\/70 + 7 + -16.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose g - n*g = -118. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 38. Let h(g) = -5 + 2*g + 4*g**3 - 3*g**r - 6 + 3. Let b(u) = -u + 3. Determine 8*b(f) + 3*h(f).\nAnswer: 3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 33*q - 28. Give r(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 41*y**3 - 102*y**3 - 8*y**2 + 11*y - 5 + 45*y**3. Let l be -1 + 1\/(-1) + -3. Let s(q) = 11*q**3 + 5*q**2 - 7*q + 3. Give l*k(m) - 8*s(m).\nAnswer: -3*m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 468*n + 470*n = 2, -2*a - 4*n = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6860 + -6859.6. Which is the closest to -0.26? (a) -3\/8 (b) 0 (c) 0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5694 and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 37*z**6\/3 + z**2 - 67*z + 111. What is the second derivative of k(x) wrt x?\nAnswer: 1480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 25*k - 23. What is the remainder when (3 - 1) + 30 + 1 is divided by g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 60 = 4*n, 4*n - 4*t = -0 + 24. Let j be 2 - ((-30)\/(-4))\/((-93)\/124). Let b be (j\/570)\/(2\/n). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 34*h**2 + 13*h**2 - h - 3*h - 46*h**2 to d*h**2 + b*h + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-28))\/(3 + (-284)\/102) and -73\/500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 7108. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110110010000011 + -111100110?\nAnswer: -1011110111001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.199899988 - -0.1999. Round z to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044*a + 2420*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.5 at most 9295\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8*0 - -2. Suppose 85 = w*j + 15. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76365464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 0, 156, 2 in descending order.\nAnswer: 156, 2, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/18 and 25\/1498?\nAnswer: 13482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i - 13. Let k = -46 - -36. What are the prime factors of u(k)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.505 and -1.\nAnswer: -0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -895, -1823, -2753, -3685?\n\"Answer: -m**2 - 925*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216.999901 - -217. What is u rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1882*p**2 + 12*p + 45. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6301 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (25\/15)\/(4\/16) + (-4)\/4*6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*g**5 - 6*g**3 - 1296*g**2?\nAnswer: -8280*g**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001618669 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/54 and 16\/11.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -548*n**2 - 230156*n\/5 + 336\/5 = 0.\nAnswer: -84, 1\/685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/4 + 3*u**3 + u**2 - 4*u + 3. Does 11 divide d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.105 - -0.095. Let z(u) = -u**3 + 4*u**2 - 2*u. Let c be z(3). Suppose -2*f = -c*g + 6, -12 = -3*f - f. What is the smallest value in 3, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 50 - 52 + 7*j - 5*j**2. Suppose -2*z = z - 30. Suppose 3*r = -4*c - z, 8*r - 4*c - 24 = 4*r. Calculate s(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/84 and -4 + 0 + (-16313)\/(-4620)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172406 is divided by 431.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/735 - 176\/147. Suppose -5*f - 350 = -2*q, 0 = -2*f + 2*q - 5 - 135. Let s = f - -67. Do l and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/60 - 4576\/780. What is the second smallest value in -5\/124, -0.3, c, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + (0 - 1 - -1). Let z(o) = -o**3 - 10*o**2 + o + 11. Is z(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 i when four letters picked without replacement from ggfgfiigfwwqibw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 312404923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1980 and 110.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34228777.\nAnswer: 11, 89, 34963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:38 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**2*i**3 - 25*d**2*i + 170*d**2*t + 40*d*i**2 - 3103*i**3*t + 2*i**3 + 4 with respect to t.\nAnswer: 170*d**2 - 3103*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 30 + 12 = -63. Calculate the greatest common divisor of t and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 1423*c**5\/12 + 1739*c**4\/6 - 2730*c**2. Find the second derivative of p(t) wrt t.\nAnswer: 14230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*a**5\/5 + 64*a**4\/5 + 122*a**3\/5 - 4*a**2\/5 - 48*a\/5 = 0. Calculate a.\nAnswer: -1, 0, 4\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893248, -893251, -893254, -893257, -893260, -893263?\nAnswer: -893266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209069135.\nAnswer: 5, 11, 3801257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1331, 5409, 12213, 21755, 34047, 49101?\n\"Answer: 2*p**3 + 1351*p**2 + 11*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -18. Let o(r) = r**2 + 3*r - 7. Determine o(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 1.37. Let b = 3.07 - a. Let h be 45\/21 + 2\/(-1). Sort b, 2, h in descending order.\nAnswer: b, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-2)\/(1\/2*5*1488\/(-1860))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-90) + (-58)\/(-145). Let g(v) be the second derivative of 0*v**2 + 1\/18*v**4 + l*v**6 + 1\/15*v**5 + 0 - 2*v + 0*v**3. Determine a so that g(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 103\/5 + (-3 - (-84)\/35). Solve -w = -a + 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 74 - 90 - 43)*(-2*a**2 + 5*a**2 + a**2).\nAnswer: 8*a**3 - 236*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 483 divided by -9\nAnswer: -161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 4:49 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:06 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.735752mg in kilograms?\nAnswer: 0.000009735752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.051 in 3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.265 + 3.14. Let l = g + 0.195. Let r = -30 + l. Which is the second smallest value? (a) r (b) -15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**2 + 18*r**2 - 15*r**2 + 2*r**2 - r**2 + r**2 + (r + 1 - 1)*(2*r + r - 4*r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/6 + 2*h**3\/3 - 3*h**2 - 28*h - 48. Let b(i) be the first derivative of r(i). Factor b(t).\nAnswer: 2*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4864.9996887 - -4865. Round h to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -67d?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 3*r + 9, 6*r + 362519 = 4*f + 362483 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 + m**3 - 9\/4*m**4 + 0*m**2 - 5*m + 21\/20*m**5. Solve y(v) = 0 for v.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nddnppddpndp. What is prob of sequence pd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -252.5 - -253. Let m be (1\/9)\/(1\/2). Which is the closest to -1? (a) 3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*c - 9 = 229*c - 2*k, -2*c = 28*k - 82 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -30375\nAnswer: 9112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1586\/624 - 4\/(-32). Sort -19, x, 2\/5.\nAnswer: -19, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 18*f**2 + 55*f + 135. Does 3 divide k(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 + -9)\/49)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let h(w) = -4690*w**2. Calculate o(h(t)).\nAnswer: 43992200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 21200021200?\nAnswer: 21200021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 286\/297 - (-9)\/243. Is j at least as big as 19\/480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2*m**5\/5 - 38*m**3 - 91*m - 61. Differentiate b(d) with respect to d.\nAnswer: -8*d**3 - 228*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**3 - 4*d - 5 + 7\/12*d**4 + 0*d**2. Let t(x) = -11*x. Give g(t(u)).\nAnswer: 847*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 7:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*k - 0*k. Let f be 7\/k - 2\/6. Suppose f*j - 3*j + 16 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 + 192*z**2 - 383*z**2 + 191*z**2.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llss when four letters picked without replacement from kllrklllskls.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5423 - 0.508. Round s to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -301*x**4 + 4*x**3 + 42*x - 8. Let b(r) = -903*r**4 + 13*r**3 + 124*r - 25. Let k(m) = -4*b(m) + 13*u(m). Find the second derivative of k(p) wrt p.\nAnswer: -3612*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8221 * -0.0011.\nAnswer: 9.0431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287 - 286. Sort 10, g, 6 in decreasing order.\nAnswer: 10, 6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5 + 66\/14 - 133164\/(-84)) + -1 and 468?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1603*k + 59209. Determine j(37).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9768, 8371, 7008, 5691, 4432, 3243, 2136?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-26 + 14 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 722812*v\/11 + 1445616\/11.\nAnswer: 2*(v - 361404)*(v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1517995 and 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 12) in base 14?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.228 + 4.\nAnswer: 3.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1\/5, -3\/4, 3\/7, -0.09?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 70. Let n be w(0). Let f = -65 - n. Suppose -2*a - q + 4207 = -6*q, -f*a - q + 10558 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 2*y**3\/3 - 2*y**2 - 1376*y. Calculate r(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 252?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55743233831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309 + -295. Calculate the greatest common divisor of 49 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2479 + 6439 = 20*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 3*b - 6*b)*(2775 - 82*b - 2775) - 65*b**2 + 8*b**2 - 60*b**2 in the form n + v*b + c*b**2 and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/5048 and -139\/72017292.\nAnswer: 144034584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42453 + 2207?\nAnswer: 44662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662) - (sqrt(2662) - -3*sqrt(2662)))*-3*5)\/(sqrt(55)\/((sqrt(5) + sqrt(30)\/sqrt(6))*-4 - sqrt(5))*5).\nAnswer: -891*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 6. Let z = g + -2. Let k = z + 9. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, -3, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.356 - 0.7378143?\nAnswer: -1.0938143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 3, l: 5, r: 2}. Give prob of picking 1 k and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-10)*z**(2\/23)*z)**(1\/34))**(-1))**(-3\/8) assuming z is positive.\nAnswer: z**(-615\/6256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/67034 and -97\/20?\nAnswer: 670340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/8)\/((-2)\/(-12)). Solve 0 = -2*f + g - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 356802 * 20.\nAnswer: 7136040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1. Suppose -6 = k - 1. Let v(a) = 11*a + 9. Suppose 17*s = -13 + 64. Let i(y) = 21*y + 18. Let m(j) = k*v(j) + s*i(j). Give m(w) + 6*q(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 14*v**2 - 9*v - 122. Let r be q(-14). What is the greatest common divisor of r and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1279972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6 and -49\/3814.\nAnswer: 11442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 8*x**2 - 2*x - 4 in the form r*x**2 + f*x + z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m + 6*m**2 - 11*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1\/5, 2\/25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57, 312, 989, 2298, 4449, 7652?\n\"Answer: 35*r**3 + r**2 + 7*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (628\/(-785))\/(((-6)\/(-25))\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:21 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/i)**(-45)\/(i\/i**(2\/11)*i**8) assuming i is positive.\nAnswer: i**(1388\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*n + 61*n**3 - 196*n + (0*n + 4*n - 5*n)*(-n**2 + 7*n**2 + 2*n**2).\nAnswer: 53*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463378157?\nAnswer: 11, 42125287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/25625760 and -19\/130080?\nAnswer: 25625760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -41. Solve 0*v - 3*a + 10 = -v, -5*v = 5*a - r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5088 * 1873.76.\nAnswer: -9533690.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478 - 65*l**2 + 4478.\nAnswer: -65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 2254.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*h - 7*h - 55, 50 = 5*p - 2*h. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Let h(a) = 0 - 1 - 3. Let o(j) = 4*j + 2. Let d be o(1). Suppose d*k + 2 = 5*k. Determine k*i(t) + h(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4*t + t + 2*t) - t - 2*t + 4*t + 0 - t + 0 - 2*t - 2 - 3 + 9 + (-32*t + 7*t + 13*t)*(-1 + 2 + 1) - 4*t + 0 + 0.\nAnswer: -29*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 848040*g. Let d(c) = -8*c. Give x(d(j)).\nAnswer: -6784320*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3698640865?\nAnswer: 5, 67, 109, 199, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 62. Which is the fourth smallest value? (a) t (b) 0.04 (c) -2.2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 492.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1142 and 0.7.\nAnswer: 1142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62778, 62778, 62780, 62784, 62790, 62798, 62808?\nAnswer: 62820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -32, -1\/4, -3, 1, -41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2482 - 2482. Let v(i) be the third derivative of i**2 + 0*i + 7\/24*i**4 + u*i**3 + 0. Let s(f) = -f. Calculate v(s(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 20*p**2 + 5*p - 108. Let t be o(20). Let w(v) = 2*v - 13. Let c(h) = -3*h + 25. Let f(m) = -2*c(m) - 5*w(m). Is 7 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 - 34*m**3\/3 - 79*m**2 + 396*m + 1620.\nAnswer: -(m - 5)*(m + 3)*(m + 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose w = 4*f + f. Suppose f = 2*v - 5*v + 18. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/6*(164\/224 - (-9)\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20220 + 22?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 182*i - 9. Let x(j) = -95*j + 4. Let v(b) = 4*l(b) + 9*x(b). Let h(d) = d**2. Give v(h(a)).\nAnswer: -127*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let n(h) = -h**2 + 41. Give z(n(d)).\nAnswer: -2*d**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 314260705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137, 266, 397, 524, 641, 742, 821, 872?\n\"Answer: -b**3 + 7*b**2 + 115*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = 4*p, 5*p = -4*m - 51263 + 51243 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235 - -17.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 176?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = 267. Suppose 49 = 5*x - s. What is the highest common divisor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*x - 64 = -61*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1076 = -3*d, 4*d = 6*r - 5*r + 1437. Let a = d - 357. Solve -a*c - 3*k = k + 10, 0 = -k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*b**3 + 73*a*b**2 - 6*a*b + 9206*a - 19*b + 2 with respect to b.\nAnswer: -6*a*b**2 + 146*a*b - 6*a - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r. Suppose 0 = 4*b + h - 22, -b + 3*b - h - 14 = r. What is the highest common divisor of b and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/120)\/(32 + 4709\/(-136))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701697.635 rounded to the nearest 1000?\nAnswer: 702000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**3 + 23*x**3 - 8*x**3 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149485 by -5.\nAnswer: 29897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-22*(-1)\/(-6))\/(1092\/(-756))*13\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Do -77272 and -463627\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**3 + 59*r**2 - 454*r + 3. Let b(y) = 18*y**3 - 136*y**2 + 907*y - 7. Let k(w) = -3*b(w) - 7*u(w). What is the second derivative of k(m) wrt m?\nAnswer: 54*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4507.5693 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from qbnbbbunuaabbn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqtojtotjotttt. Give prob of picking 1 t and 1 j.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -21*m**2 - 277*m + 6. Find the first derivative of l(h) wrt h.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -306*(-92)\/(-23460)*25\/(-8).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + g - 2*g = 3, 4*k = 5*g + 42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 5155 = -13*u. Let f(g) = -g - u + 1031. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8614*d**5 + 2*d**4 - 12*d**2 + 630*d?\nAnswer: -516840*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-12))\/((-10)\/80). Is g less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -563\/5 - -113. Which is greater: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Let i be f\/(-4) + 21\/(-6). Is (470\/15)\/(i\/(-6)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/4))**(-1\/58))**47 assuming h is positive.\nAnswer: h**(141\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-664)\/(-2088) + ((-6)\/12)\/(45\/(-18) - -7)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*1 - -6. Let m(v) = 3*v - 2*v + v**2 - 3*v - 1 + 0. Let u be m(-4). Solve -3*k + 0*b + 14 = -b, k - h*b = u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1767.26083 to 1 dp.\nAnswer: 1767.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - c + 8*c)*(-c - 3 + 3) + 13*c + 9*c**2 - 13*c + 2*c**2 - 3*c**2 - c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let r(i) = -8*i - 16. Let p(y) = -y - 1. Let u(d) = -10*p(d) + r(d). Determine j(u(v)).\nAnswer: 12*v**2 - 72*v + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u = -6295. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 4. Let n(d) = d - 1. Let c(f) = b(f) + 2*n(f). Give c(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193656.\nAnswer: 2, 3, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 29 = 5*q, j - 4*q + 27 - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021303100 (base 4) to base 9.\nAnswer: -3027561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**(-12))\/(u\/(u*u**(-2\/11)*u)*u)**9 assuming u is positive.\nAnswer: u**(136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11712? (a) -11 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjy when three letters picked without replacement from yyyjyyj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5616 and 7668?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + -3 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.678 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v + 1. Determine j(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8506, 8803, 9100?\nAnswer: 9397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57469\/20 - 2871. Find the common denominator of q and -75\/374.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 3*i + 0*i - i - 3*i + 2*i + (3*i + 2*i - 3*i)*(-4 + 4 - 1) + (5 - 4 - 2)*(-7*i + 2*i - i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1861254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 30739096*a**3 - 3*a - 30739319*a**3.\nAnswer: -223*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6784*q = 6559*q + 12150 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -517 (base 15) to base 10.\nAnswer: -1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*i - 2*i. Calculate the least common multiple of i and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -7)*(-1 + -1)*2. Let t(i) = 352*i + 12. Let v be t(9). What is the third derivative of -y*m**3 - v*m + 3180*m + 16*m**2 wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 3*a + 71.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:24 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1, -43\/3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4051207 (base 8) to base 5.\nAnswer: 233212303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638*x - 30 = -1640*x. Let q be 21 + -2 + 4\/2. Solve -5*r - q = 2*a + 12, -5*a - x = -r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 11, h: 1}. Give prob of sequence xh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -221*x**5\/20 + 331*x**4\/24 + 2*x**2 - 331. What is the second derivative of a(o) wrt o?\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -8*k + 14. Solve -4*x + k = 5*a - 13, 4*a - 16 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/46000 and -22\/35.\nAnswer: 322000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 532 divided by -4\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -10416.1?\nAnswer: -4166.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/(2\/(-48)). Suppose -8 = 4*d, 10 + b = 3*x - 2*d. Suppose -3*q - 12 = -x*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 - 18 = 0. Let p(j) = 2*j**2 + 12*j - 9. Let g be p(f). What is the highest common factor of g and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 2*u + 4. Let q(r) = 3*r**2 + 2*r - 3. Suppose 4 = -w + 9. Give w*q(o) + 4*s(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xpppppxxxkxprz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 285 - 104 - 48 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 + f + 1. Let n be r(-3). Let z be 4\/22 + 22072\/n. Let y = -48 + z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/20 + 7*f**4\/12 + f**3 + f. Let g be i(-2). Solve p = 5*h + g, -2*p + 5*h = -4 - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 35. Let t be ((1 - 1)\/1)\/2. Suppose t = 5*u - 4 - 26. What is the lowest common multiple of u and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoyoooaoaayaa. Give prob of picking 3 a and 1 o.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*g - 20 = 0, 324*d + 3*g = 322*d + 2. Solve 40 = -5*x - 5*s, -s - d = -0*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 + 13*r**2)*(-3*r**3 + r**2 - r**2 + (-4*r**2 + 2*r**2 + r**2)*(-r - 2*r + 5*r) + 2 - 2 + r**3).\nAnswer: -56*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 2}. Give prob of sequence igi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.2, -36, -2\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36651806?\nAnswer: 2, 1697, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3)*4*-4 - sqrt(3))**2*-5.\nAnswer: 8670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 16) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 9*o**5\/4 - 1578*o**4 - 27072*o**3 + 105612*o**2 - 47268*o - 86160 = 0?\nAnswer: -20, -2\/3, 2, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1354893, -1354892, -1354891?\nAnswer: -1354890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 861 - 2333 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from babaabbii.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Suppose -l + 2 - 7 = q. Which is bigger: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-2) - -3) + 51 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 34*r**2 - 13*r - 28. Determine s(33).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -183*i**2 + 1836*i + 13. Determine y(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1809 - -1808.109. Let m = -0.011 - x. What is m rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o. Let p be w(0). Let v = p - 3. Let k = 40 + -43. Is v greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190433302 to the nearest integer?\nAnswer: 13800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11616 at least as big as 11617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8142, -8151, -8160, -8169, -8178?\nAnswer: -8187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -49?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 936*o**2 + 3692*o + 2760.\nAnswer: 4*(o + 1)*(o + 3)*(o + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -15. What is the remainder when (-682)\/(-14) - y\/21 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119078*m**2*u**2 - m**2 + 97*m - 2*u + 24 wrt u?\nAnswer: -238156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10155886.\nAnswer: 2, 13, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11597357 and -11597396 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 40*y**2 - 145*y + 119. Give t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 13 + -7 - 0 - (-3 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -5\/3*h**3 + 0*h + 0*h**2 - 23 + 1\/720*h**6 - 7\/48*h**4 - 1\/40*h**5. Let k(z) be the third derivative of g(z). Factor k(l).\nAnswer: (l - 7)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -363*m - 6 + 340*m + 1 to the form k + v*m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480*d**3 + 1026*d**2 + 19986848*d wrt d.\nAnswer: 2880*d + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + 11?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(3\/11))\/(d\/(d\/(d\/d**(2\/97)))))\/(d**46\/d*d**(-6\/19)))**(-25) assuming d is positive.\nAnswer: d**(22498400\/20273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.71478 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -52. Let u = v + -21. What is the remainder when 136 + (u + 1)\/(-1) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/75? (a) -9\/8 (b) -0.5 (c) 0.7 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5011355 rounded to three dps?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*14\/36*64\/(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672320.\nAnswer: 2, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Let q(d) = 5*d + 10. Let s(v) = 21*v + 30. Let w(h) = 7*q(h) - 2*s(h). Determine -5*a(b) - w(b).\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 21. Suppose -2*c = -5*y + 14, o*c = c + 3*y - 3. Let z be 2\/c - (-140)\/42. Put 10, z, -3 in decreasing order.\nAnswer: 10, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 6*v - v + (-2 + 2 + 2*v)*(2 + 1 - 1) + 5*v - 4*v - 2*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 6:47 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/4 - 2108047*t\/2 - 88538415\/4 = 0.\nAnswer: -21, 4216115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 10*n**2 - 22*n + 8 = 0. What is n?\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 2*l - 1. Let n(i) = i**2 - 6*i + 5. Let b be n(6). Let q = b - 3. Suppose 4*t + 0*t - 5*u = 4, 2 = q*t + 5*u. Determine g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -3 - -2 - (10 + (-18 - -4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*q = -808*q + 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404394868.\nAnswer: 2, 101098717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - -4) + 4 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 123 = -131 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 8*c - 1. Let a(h) = -h - 2. Let k be a(-6). Suppose -2*s - 5*y + 11 = s, -8 = k*y. Let u be n(s). Solve -2*t = 2 - u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 84*x - 470. Determine o(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 330.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:47 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -424 and 5?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -58477*g + 1812793. Calculate i(31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1222305 - -55?\nAnswer: 1222404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5\/257, -0.3?\nAnswer: 5\/257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/2)\/(7\/(-14)). Find w, given that 23 - 15*w**3 - 74*w**2 + o*w + 39*w + w**3 + 1 = 0.\nAnswer: -6, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzi when three letters picked without replacement from {i: 1, k: 6, z: 3, c: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 2, v: 1, i: 5, z: 3, u: 1}. What is prob of picking 2 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29147543.\nAnswer: 29147543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -72, -108, -144, -180?\n\"Answer: -36*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/71855 and 11\/30795.\nAnswer: 215565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + i. Let d be z(1). Suppose -4*g - 4*v + v = 5, g + 4*v = -11. Solve -3*m + g = -o + 2*o, -5*o + d = -5*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 2 + -4 + 2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1564356 and -4.\nAnswer: -0.6257424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 3, z: 1, v: 3, q: 1, e: 2}. Give prob of picking 1 p and 3 v.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a - 1967 = 141. Suppose -5*z = -17 - 3. Sort 2, -3, z, a.\nAnswer: a, -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppaappaapaaaapaapaa. Give prob of sequence apap.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(85)\/(sqrt(45)*-2).\nAnswer: -sqrt(17)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -37, -60, -103, -172, -273?\n\"Answer: -k**3 - k**2 + k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8282 + 23047.574.\nAnswer: 31329.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 0.3, 3, -7, 142, -10?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*u + 10, -8*n + 10098*u = -2*n + 10099*u + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 303*j - 6543 = -789 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1742)\/9045*18*(-3)\/(-12)*-30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7033 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l*l**(-9)*l)\/l*l)))\/(l\/(l*l*l\/(l\/l**(-3\/2)))))**(-5\/6) assuming l is positive.\nAnswer: l**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 7*v + 2. Let n = -15 + 16. Let p be -6*1 - -1 - n. What is i(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose -a*g - g - 11 = 3*c, 0 = c - g + 1. Let v be c\/(-5) + 8\/(-20). Solve v = -0*i + 2*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.0227\nAnswer: 0.00908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 - 3*a + 3*a)*(2 + 1 + 1)*(-250 + 511 - 235) as j*a + w + t*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 1, i: 2, z: 1}. Give prob of picking 1 k and 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 222 + 394 = x, 3*l = -4*x + 619. Let v(f) = 2*f**2 + 3*f + 2. Let r be v(-2). Suppose l = r*u + 13. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fteaaf. What is prob of sequence eta?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 k, and 1 q when four letters picked without replacement from {k: 7, l: 2, v: 1, q: 3, w: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6 + -1)\/(18 + -24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -470 times -4242.2\nAnswer: 1993834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -237\/5?\nAnswer: -237\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by (-8)\/60 + ((-647)\/(-15) - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24 (b) 5 (c) 3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -11. Let g be (-2)\/(-2) + q\/5. Suppose 0*u - 4 = 4*u, -3*u + 5 = g*a. What is the closest to -2\/3 in 2\/5, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/17)*(f\/f**(-13))\/f*f**(-22)*(f\/f**(-5))\/f)**21 assuming f is positive.\nAnswer: f**(-1449\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 divided by -763?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01062460427 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from {f: 4, w: 5, s: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -9 - -13 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j + 6*j - 9*j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (17 + -22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -157.1. Let s = -5.2 + i. Put s, 2\/35, -1\/8, -2 in ascending order.\nAnswer: -2, s, -1\/8, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10696252*x - 3385017?\nAnswer: -10696252","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.3 (c) -8 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 16. Let l(r) = -14*r**2 + 7*r + 7. Let f(o) = 4*o + 0 + 1 + 2 + 1 - 7*o**2. Let a(b) = z*f(b) - 4*l(b). Let x(m) = m**2. Calculate a(x(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - (-28)\/12. Suppose 3*r - z*t + 4 = 0, 5*r + 10 = -3*t - 3. Put 5, 4, r in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2970*1056*-18.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003825739 rounded to six dps?\nAnswer: -0.003826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10110 and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5863 - 756?\nAnswer: -6730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + (-12 + 2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.7, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70771899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301480, -602908, -904338, -1205770, -1507204, -1808640?\nAnswer: -2110078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243965427 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 294? (a) -44 (b) -2 (c) 4\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5465527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. What is the least common multiple of 22\/3 + (-2)\/6 and 2 + (-2 - t) - -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 8*m + 4. Let t be i(5). Let g = -12 + t. Find the second derivative of -5*j - 2*j + 6*j + j**g + 0*j**2 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)\/((m**(3\/16)\/m)\/m)*(m**(-2\/27)*m)**(-1\/14) assuming m is positive.\nAnswer: m**(4525\/3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*w - 8 = -604*w, 0 = 3*h - w + 65 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1661706, -3322811, -4983916, -6645021, -8306126?\nAnswer: -9967231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 69 = -87. Let i = -3 + t. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q + q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2. Suppose 5*x + 2 = 4*b - 2*b, -5 = 5*x - 5*b. Let j(h) = -20858 + x*h + 11*h + 20858. Calculate d(j(n)).\nAnswer: -484*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 2. Let l be v(-2). Let b be 22\/5 + 4\/l. Suppose 23927 = 104*r + 23407. Solve -b*m - 3*p = m - 25, 2*m + r*p = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + u**2 - u**3 - 1 + 28*u - 6*u - 15*u in the form y + a*u**2 + z*u**4 + s*u**3 + b*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 36. Let y = s - 25. Suppose -y = -4*u + 15. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1766, -3, 0, 4 in decreasing order.\nAnswer: 4, 0, -2, -3, -4, -1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -7055*u**8\/56 - u**4\/6 + 109*u**3\/3 - 3*u**2\/2 + 2304*u. Find the third derivative of p(t) wrt t.\nAnswer: -846600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 64*g - 27*g - 3024 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*g + 93*g - 474*g)*(-2 - g**2 + 2) - 5*g**3 + g**3 + 3*g**3 in the form o*g**2 + i + s*g**3 + a*g and give s.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1002 in -1.3, -4, 44, 3, 2\/13?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 7*m**4 + 11857*m**3 - 11855*m**3 + 2*m + 6 to the form f + u*m + q*m**2 + l*m**3 + a*m**4 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k = 0. Suppose k = g - 5*g - 12. Let h = 7 - g. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let h be ((-4)\/(-6) - 22\/d) + 0. Is ((-4)\/h)\/(1\/(-442)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1126.\nAnswer: 5\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -726 - -213. Let g = 2349 + c. Suppose 0 = -12*f - 5*f + g. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let o be -2*((-20)\/(-8) - 1). What is the units digit of 14 + (o - -4) + n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2669481*c - 6291. Let r(o) = 2122*o - 5. What is -5*b(i) + 6291*r(i)?\nAnswer: 2097*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7*(-8 + 7). Let y be (0 + -2)\/(-36)*3. Let l be ((-3)\/8)\/((-3)\/(-2)). Which is the nearest to l? (a) r (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6749145t to milligrams.\nAnswer: 674914500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 30 (b) 0.2 (c) 0 (d) -0.1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Let v(r) = -16*r. Suppose 0 = 7*p - 3*p + x - 31, -4*x = -5*p + 44. Let l(o) = -o. Let z(t) = p*l(t) - v(t). Determine z(c(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245\/8 + -395\/8. What is the common denominator of 19\/2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0856 + -1.0856. What is the closest to d in 5, 3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 163, 474, 937, 1558, 2343, 3298, 4429?\n\"Answer: d**3 + 67*d**2 - 43*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62\/107 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/4 - 3*z**3 - 7*z**2\/2 + 10*z + 10. Does 5 divide l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*u + 3*m + 75, -2*m + 41 = 3*u. Let x(a) = 6. Let y(b) = b - 56. Let o(r) = -4*x(r) - y(r). List the prime factors of o(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + x**2 + 1)*(-13 - 22 + 11) + 0*x**2 + 5*x**2 + 2*x**2)*(-1 + 3 - 6) + 7*x**2 - 6*x**2 - 2*x**2 in the form d + u*x + v*x**2 and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/3)\/(2\/3). Let v = -23 + 24. Let n = 1 + -1. Solve -2*w - v = -3*s, -w - t = -n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/28 and 121\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*l + 456 = 0, -11*l - 1161 = -5*p - 9*l. Find the common denominator of -103\/102 and 8 - (p\/(-24) + 7).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20963743*a**2 + 413560*a + 2 wrt a?\nAnswer: 41927486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i + 201 + 206 + 205 - 610. Let z(o) = -27*o - 5. Give 5*n(x) + 2*z(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/(-10) + -9 - (-1)\/35?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 divided by 2443?\nAnswer: 161\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789305?\nAnswer: 5, 557861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:07 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 997*z + 996*z + 2*z**3 + 9*z**2 + 972*z - 2963*z as o + a*z**3 + k*z + x*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((297\/18)\/(-1))\/(3\/(-112)). Let t = -312 + h. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-9)\/r)))**(11\/7)\/(r**(-4\/9)*r)**(-25))**1 assuming r is positive.\nAnswer: r**(-115\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 - 2*n - 7. Let s be h(-6). Suppose -25 = -4*a + s*j, 4*a + a - j = 5. Suppose a = 2*b - 0*b - 8. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -4 + sqrt(6)\/(sqrt(24)\/sqrt(8)) + sqrt(2))**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164087 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t + 3*c, 38*t - 41*t + 4*c = -36. What is the thousands digit of -2*(-5 - (2 + 6676\/t))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in -2, 7, 4, -0.1, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 + 6513*a**2\/8 + 1326006*a + 1325192.\nAnswer: (a + 1)*(a + 3256)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315016343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 9. Suppose -5*p - 70 = -2*t, 0 = t - 2*p + r*p - 21. Let l = t - -30. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x*(x\/x**(2\/3))\/x)\/(x**(-2\/7)*x)**(-18) assuming x is positive.\nAnswer: x**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 138. List the prime factors of 43328\/96 + (-2)\/p.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(22)\/sqrt(2)*-3)*-3*-5.\nAnswer: -45*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.014\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -2515903 in decreasing order.\nAnswer: -4, -9, -2515903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 4, 0.2, 5, 6, -0.47.\nAnswer: -6, -5, -0.47, 0.2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 4 + 4)*(m - 2*m + 2*m) - m**2 - 5*m**2 - 4 + 0*m**2 + 2*m to w + x*m**2 + u*m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35668798 divided by 2\nAnswer: 17834399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 + 4*s - 15. Suppose 4*o - 32 = -6*k + 2*k, -3*k = 2*o - 17. Calculate the remainder when t(o) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -36. Suppose 33 = -r*y - 96. Let g = -20 - y. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*t**2 - 852*t**2 + 2590*t**2 - 853*t**2 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 10*o + 15. Suppose 8*g - 162 - 174 = 0. What is the remainder when g is divided by j(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - n**2)*(-n**2 + 0*n**2 - n**2) - 489*n**4 + 788*n**4 + 866*n**4 + n**4 - 3*n**4 + n**4 + (4*n**3 + 2*n**3 - 4*n**3)*(n + 3*n - 5*n).\nAnswer: 1164*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1481 + -1481. Put l, -285, 5 in decreasing order.\nAnswer: 5, l, -285","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5008.998222 - -5009. What is v rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/145 in 1, -49, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 58*x**2. Let p(j) = -41*j. Determine q(p(d)).\nAnswer: 97498*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = 2*t - 4, 3*t = 12. Let j be (-8)\/(-24)*(-8)\/c. Is j > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)\/(j*j**(-2\/21)*j)*j\/(j*(j**12*j*j)\/j)*j*j**1)**(-8\/7) assuming j is positive.\nAnswer: j**(4520\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 28*j - 42. What is h(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 82?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4521, -9043, -13565?\n\"Answer: -4522*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbs when three letters picked without replacement from {m: 2, b: 1, s: 1, v: 4, c: 3, i: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296 - 234. Suppose 59*w = 60*w - b. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-21)\/(-70))\/((-60)\/50)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 16 + 48. Let u = d + -11. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -15, -27, -41?\n\"Answer: -m**2 - 7*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.018475.\nAnswer: 0.129325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let f(s) = s - 4 + 8 + 10. Let p(c) = f(c) + 4*i(c). What is the tens digit of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6640 divided by -5\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l = -85 - 35. Let a(c) be the first derivative of -7 + 3\/4*c**2 + 1\/6*c**l + 0*c. Factor a(y).\nAnswer: y*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256534936?\nAnswer: 2, 7, 4580981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 53*f + 267. Let p be o(-4). Which is greater: p or 393\/7?\nAnswer: 393\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19000*b = -18790*b + 210 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110737?\nAnswer: 11, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19833445 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -563, -2, 0.\nAnswer: -563, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 3*o + 3 + o. Let q(u) = -u**3 - 18*u**2 - 66*u - 3. Let t be q(-5). Let r(z) = t*z + 6 - 5*z + 3*z - 5 - z. Calculate -i(f) + 3*r(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.61568113 rounded to three dps?\nAnswer: -49.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*-2)\/((-6)\/(-4)). Let n(o) = 7*o**2 + 13*o + 15. Let j(t) = -8 - 3*t**2 - 6*t + 6 - 4 - 1. Let a(v) = p*n(v) - 9*j(v). Solve a(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 3*h + 2 + 6 + 3. Let j be x(11). Suppose 0 = j*z - 27*z + 205. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72359403, -72359404, -72359405, -72359406, -72359407?\n\"Answer: -m - 72359402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 27. Suppose 8*k - 3*k + f = 0. Put k, 4, 1 in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 872, 1647, 2950, 4787, 7164?\n\"Answer: m**3 + 258*m**2 - 6*m + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 129.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/744 - 368935\/(-1185037)?\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*h - 135*h = 1069510. Is -4328 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 + 2*q**2 + 0*q**2 + (2 + 2*q - 2)*(0*q - 4*q + 2*q))*(-51*q + 94*q + 109*q) to g + y*q**2 + w*q + m*q**3 and give m.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = b + 3*b. Suppose 3*m - 58 = 5*r + 81, 0 = 3*r - m + 81. Let i = b - r. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-12) + (-51)\/(-12). Suppose t*x - 44 = -4*k, 0*k + x = 3*k - 14. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/53 + 101\/318. Let o(t) be the second derivative of 0 + 0*t**4 + r*t**3 + 0*t**2 - t + 3\/20*t**5. What is the second derivative of o(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -39*s**4\/4 + 2*s**3\/3 + 11*s**2\/2 - 195. What is the second derivative of j(d) wrt d?\nAnswer: -234*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**2 - 399*a - 171. Determine f(-66).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*5 + (sqrt(19) - (sqrt(171))**2) + -1 + 1.\nAnswer: -171 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 2. Let h be (8\/(-12))\/((-1)\/(-159)). Let x(m) = -m**2 + 25*m + 923. Let k be x(-22). Let d = h - k. Let u(i) = -2. Calculate d*a(t) - 4*u(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, -6, 0.22, 0.1, 13, 18, 58?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s - 3. Let b(v) = v**3 + 2*v**2 + v. Let a be b(-3). Let h be i(a). Let d = -77 + h. Solve -3*p = -d*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2256 + 1883. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221 + -1?\nAnswer: 100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4920 - 19*x**3 + x - 4920 to the form u*x**2 + j + v*x**3 + r*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -9*z + 11*z. Suppose c - 6 = 2*j, 2*c = -2*j + 1 - 19. Let r(l) = 3*l**2 + 8*l - 19. Let f be r(j). Solve -z*b + 10*b = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560 (base 9) to base 3.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - h + 6005, 3*v = h + 3*h + 6010. Suppose -10*s - 3*s + v = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 + 1 - 1 - 133*r + 116*r as b + m*r**2 + q*r and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 (base 6) in base 4?\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 875.6 and 0.4?\nAnswer: 875.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 0)*(2 + 4 - 1).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -6 - 96\/(-6). Let x(h) = 53*h + 2. Let f be x(4). Let k = -126 + f. Calculate the greatest common divisor of v and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 112*a - 107*a + 19, -39*m + 2*a + 45 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159*-166168.\nAnswer: 26420712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 37 + -7 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6228 = -5*k, -2*n - 5*k = -0*n - 4157. Is 109 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 < -30763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 95262?\nAnswer: -95271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21193229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 24801*h - 371989. Give q(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u - 5*c - 30, 2*u + 15 = c. Let l be 3 - (-4 - (u - -2))*3. Solve 3*q + 0 - 12 = l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2976 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 22 = -4*x, 5*x + 6*y + 27 = 2*y. Suppose -3*u + g = -0*u + 8, 0 = -5*u + 5*g - 30. Sort 4, x, 1, u.\nAnswer: x, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v**2 - v + v)*(-v + 0*v + 3*v) + (0*v**3 - 4*v**3 + 2*v**3)*(1 - 3 - 3 + (-2 - 1 + 5)*(-3 - 1 + 2)))*(4*v - 3*v + 0*v).\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4, 377, 2\/19, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(1539) + sqrt(1539) + -1 - (4 + (sqrt(19) - sqrt(931)) - (sqrt(19) + sqrt(1539)*-5)))**2.\nAnswer: 160*sqrt(19) + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86966088?\nAnswer: 2, 3, 11, 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 11, 5, -1, -7?\n\"Answer: -6*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -0*k. Let u(r) = r + 6. Let o be u(k). Suppose -o*l - 8 = -h, h + 0*h - 3 = -2*l. Solve j = h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474013 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: 1 + 13\/((-234)\/24)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let c be (3\/2 + -3)\/(6\/(-12)). Suppose 3*r = -2*j + 10 + 9, -c*j - 4*r = -26. Give s(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368820 - 27365*r**3 - 368820 + 27354*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 106639?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 0.05. Which is the closest to 0.2? (a) 2 (b) 4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004471 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-92)\/(-207) - 3\/(27\/2). Let v = -1 + 1. Is v at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -83717 (b) -7 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.57048 millimeters in micrometers?\nAnswer: 85570.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (7 - ((-15 - 3) + 11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78977.98 - 78978. Let t = -0.7 + -6.3. Let o = t + 11. What is the biggest value in d, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 10975*g**3 + 7*g + 11012*g**3.\nAnswer: 37*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1896?\nAnswer: -1\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15c + 5?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/350)\/((-49)\/(5390\/(-44))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 132\/(-110)*65\/(-26). Let m(f) be the second derivative of -5\/4*f**4 - 13\/3*f**a + 0 + 29*f + 0*f**2. Find the second derivative of m(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9074*b - 10435*b - 61245 = 0 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 4106655*q**3 - 4109326*q**3 + 40*q - 259*q wrt q?\nAnswer: -16026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83390 (base 11) in base 4?\nAnswer: -131223233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 2. Let g be s(10). Let i = 34 + g. Suppose 41500008 = -5*m - i*l, -8*m = -3*m - 3*l + 41499988. Round m to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 112023?\nAnswer: -112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -762 - -1581. Suppose 3*z = -5*n + 1384 + a, -5*n = 2*z - 2207. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1920, -3862, -5806, -7752, -9700, -11650?\n\"Answer: -o**2 - 1939*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.7 in 1\/6, -0.2, 3\/4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttti when four letters picked without replacement from dtitdtdtdtttt.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18840, 37678, 56516?\n\"Answer: 18838*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3\/61 (c) 4 (d) 1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28304 is divided by 14151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*o**4 - 124*o**4 - 5*o - 2*o**2 + 12*o - 1 as q*o**3 + w*o**4 + n + f*o**2 + a*o and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbg when three letters picked without replacement from {r: 4, g: 2, b: 4, y: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/430 and 55\/172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126734 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(5*n - 5*n + 5*n**2) + (-n - 2 + 2)*(-3 + 2*n + 3).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.386\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -498, -735, -972, -1209?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 69626 and 69626 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114289*t**5 + 311*t**4 - 515*t**2 + 10788*t + 2 wrt t.\nAnswer: 6857340*t**2 + 7464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/9 (b) -0.2 (c) 2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + 112. List the prime factors of q.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + 3 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*j - 1360 = 2592 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 261482 + 2*x + 261457 - 4*x - 522939 + 2*x.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 203, 329, 385, 347, 191?\n\"Answer: -4*z**3 + z**2 + 197*z - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 15*y**2 - y - 13. Suppose -2*h = 3*g + 3*h + 30, 5*g = h - 78. Let u be n(g). What is the highest common divisor of u and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 336 + 2*j + 2863224*j**2 - 3*j**3 - 2863224*j**2 in the form v*j + t*j**2 + h*j**3 + l and give l.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-6)\/(-27)*3\/14*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472218011 to the power of 1\/2, to the nearest integer?\nAnswer: 49721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 6. List the prime factors of 3 + (l - (2 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 - n**3)*(n + 12*n - 3*n).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f*y**2 - 22*f*y + 76*f wrt y.\nAnswer: 6*f*y - 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - s**5 + 3*s**5 + (-16*s**3 + 2*s**3 - 25*s**3)*(-5*s + 5*s + 2*s**2).\nAnswer: -76*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193 + -1?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5)\/((b**(-1\/2)\/b)\/b)*b\/(b\/(b\/(b*(((b\/(b*(b**(1\/4)*b)\/b*b)*b)\/b)\/b)\/b))*b)*b*b**3)**46)**(-5\/8) assuming b is positive.\nAnswer: b**(-3933\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j + 2*j)*(2 - 2 - j)*(5 + 3 + 4)*(20*j - 22*j + 89*j).\nAnswer: -1044*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljnaanlanaaan. What is prob of picking 1 a and 1 n?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 954 in 5, -1\/25, 4\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 44 = 6*t, 2*t + 23281*o = 23283*o - 22 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 + 200. Which is the second smallest value? (a) 0.4 (b) 9\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28019 by -1.\nAnswer: -28019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -22, 327, 912, 1733, 2790?\nAnswer: 4083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193772 is divided by 7161.\nAnswer: 7127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 25*q = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 51 = -40 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -1\/20*m**6 + 5*m**2 + 0*m**4 + 0*m**3 + 0 + 0*m - 1\/12*m**5. What is the third derivative of r(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:10 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3\/3 + 5*l**2\/2 + 6*l - 6. Give m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2695.0038, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(((-2)\/(-328))\/((-28)\/16))?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/z)\/z**(3\/2)*(z\/(z\/(z**(-1\/4)*z)))\/z**(-1\/6)*z*(z**0*z*z)\/z*(z\/z**(1\/5)*z)\/z*(z**(-1))**(-4\/11) assuming z is positive.\nAnswer: z**(4661\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23660\/1092*240\/(-130)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*r**4 - 41*k**3*r**3 + 12106*k**3*r**2 - 2*k**3*r + 2*r**3 wrt r?\nAnswer: 72*k**3*r - 246*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*o - 10*o**2 + 105*o + 95*o in the form b*o + p*o**2 + d and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/5 - (-8 - -7). Let q = -15.73 + -0.27. Let l = q + 16. What is the nearest to 2 in l, b, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18 - 5 + 15*j - 4*j + j**2. Let f be k(-10). Solve -f*h + 5 = n, -1 + 3 = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*b**2 + 51*b + 49*b - 100*b in the form n + c*b + y*b**2 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3831*t - 1 - 7669*t + 3840*t + 1.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 4*b + 211, 127 = 3*n - 2*b. Let x = n - 27. Let k(v) = -v**3 - v + 144. Let f be k(0). What is the highest common divisor of x and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 + 2*y**2 - 2*y + 5. Let w(a) = 7*a**3 - 3*a**2 + 3*a - 6. Let h(l) = 3*q(l) + 2*w(l). What is the first derivative of h(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24160 divided by 1208\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/21)\/x*x*x**(-1\/4)*x*(x\/(x**(1\/5)\/x))\/x**(-1) assuming x is positive.\nAnswer: x**(1531\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 3*d = 28. Sort 16, -1, 0, d in increasing order.\nAnswer: -1, 0, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 5. Calculate n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 14) in base 7?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 17. Let u(k) = -2*k + 3. What is the remainder when r is divided by u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6021 or 1?\nAnswer: -2\/6021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 1853?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2507 + 817. Let p = -203 - s. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + 14*z)*(-2 - 3 + 2)*(z + 0*z - 3*z + (2 - 2 + 2)*(4*z - 2*z + 0*z) + 0*z + 4*z - 5*z).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 142 and -0.1.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*z + 2*b - 1, 4*z - 4*b = -20. Let f be z - (-5 + (2 - 0)). Solve -4*q = -f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k = -764 + 584 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b - 0. Let z(s) = 10*s - 4 - 6*s + b. Let r(v) be the third derivative of -v**5\/60 + v**2. Determine r(z(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 26, 80, 176, 326?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (7 + -4 - -7) + 50 + (6 - 56)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/8 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g. Let p(y) = -y**2 - 2*y + 14408. Calculate p(n(q)).\nAnswer: -625*q**2 + 50*q + 14408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4719?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(sqrt(500) + 1 + -1 + sqrt(500) + (sqrt(500) - (sqrt(500) - sqrt(500)*1) - sqrt(500)) + -2 - -3*(sqrt(500) + 2 + -4))**2.\nAnswer: -800*sqrt(5) + 12562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1571391 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 a when four letters picked without replacement from annnnnanann?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 5*s - 112, -4*g = 4*s - 196. Let o be (-24)\/240 - g\/(-210). Factor -16\/7 + 8\/7*q - o*q**2.\nAnswer: -(q - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 5*y**2 + 4*y**2)*(-2*y + 4*y + y) + 7*y**2 - y**3 + 4*y**2 - 7*y**2.\nAnswer: 5*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 882*h**2 - 7064*h + 13. Calculate s(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/4 + 2970*n**2 + 1468800*n + 177984000 = 0.\nAnswer: -240, 12360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 11. Let i be k(-9). Let w be 8\/12*(-9)\/(-2). Solve 11 - w = -i*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722800 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38160*m**4 + 10003*m wrt m.\nAnswer: -457920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 109.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 48 + v**2 - 52 - 3*v**2 - 3*v. Calculate t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -595 - -603. Sort -1, 6, k.\nAnswer: -1, 6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 2\/(-4)*-1110?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264\/165*85\/34*4*2\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 - -2)\/2 - (-1257 + -35)?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4145, -20167, -46865, -84239, -132289, -191015, -260417?\n\"Answer: -5338*o**2 - 8*o + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22309 is divided by 677.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*m**5*z + 2305387*m**3*z + 285*m*z - 2*m - 4362*z wrt m.\nAnswer: -320*m**3*z + 13832322*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkz when three letters picked without replacement from {p: 1, k: 2, z: 2, q: 1, t: 1, w: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44420 - 51?\nAnswer: 44336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002586023 rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-9))\/(-1*1). Suppose -345 = -h*t - 3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 1522*n**2\/9 - 290320*n\/9 - 288800\/9.\nAnswer: -2*(n + 1)*(n + 380)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.68 - 0.59. Which is the closest to -0.1? (a) -3 (b) -24 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2695 (base 10) to base 16\nAnswer: a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-3 + 1) - 2\/((-17880)\/810 - -22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24454218 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10. Suppose y + 4*y - 335 = f. Suppose -z = -5*p - 30, -3*p + y = 3*z + 13. What is the greatest common divisor of z and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**3 - 5*w**2 + 5. Suppose 5*a + 5 = 3*q, 0 = a - 5*a - q - 21. Let y(k) = 8*k**3 + 4*k**2 - k - 4. What is a*h(v) - 5*y(v)?\nAnswer: -4*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*y + 204 = 222, 10 = -p + 2*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -2429740179.\nAnswer: -2429740176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23451740 - 57198791686\/2439. Let t be (4\/(-813))\/(5 + -3). Let s = i + t. What is the common denominator of 79\/21 and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**2 - 13. Let m be (2\/(-6))\/((-280)\/(-48) + -6). Suppose -2*c + 20 = -m*d, c - 5*d = 2*c + 14. Let z(t) = 4*t**2 - 7. What is c*v(h) - 11*z(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24001556 to the nearest integer?\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 69, -2020, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5259*n**2 + 6865*n**2 - 248*n**6 + 40*n**6 - 5*n**3 wrt n.\nAnswer: -24960*n**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - 1487\/9. Let l = 2250 + -2247. Which is the third smallest value? (a) g (b) 33 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 610 and 1?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4040 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 774 - 24771\/32. Does j = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -3\/2*a**5 + 0*a**2 + 0 + 0*a**4 - 8\/3*a**3 + 15*a. What is the second derivative of l(w) wrt w?\nAnswer: -180*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + -218 - -1*3\/1. Let k = 501 + m. Let c = k + -204. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3757565?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 226245 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6866.994 and 4699.\nAnswer: 11565.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339588031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-27) + (-191)\/9. Let y = -32 - l. Let n = 131 + y. Calculate the highest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = o, -o + 3*u + 10 = o. Which is the fourth biggest value? (a) o (b) 5 (c) -0.034 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and -1602.\nAnswer: -1602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 227658 + (0 - ((-1)\/4)\/((-27)\/(-108))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/392)\/((-9)\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424320271.\nAnswer: 59, 7191869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 51*k - 19. Let v be y(10). Suppose h = 3*j - h - 503, -h = 3*j - v. Suppose s - 5*b = 4*s - j, 3*s = b + 183. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 - 4*p**3 + 2*p**3 + 243 + 90.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -1011\/10. Let n = -22.7 - -23.1. Which is the second biggest value? (a) n (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*u + 51, -q + 1 = -2*q. Let o(r) = -24 + 2*r**2 + u. Let i(v) = 19*v**2. Determine i(o(c)).\nAnswer: 76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:58 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412 - -1177. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6384 divided by 880.\nAnswer: 399\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-40))\/(2\/5) - 3. Let n be (-4)\/31*q\/(-2). Put 2\/5, n, 4 in descending order.\nAnswer: 4, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95890 - -22054793\/230. What is the common denominator of 77\/184 and n?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i)\/(i\/i**(-4\/7)))\/(i**(3\/5)*i\/i**(-2\/35)) assuming i is positive.\nAnswer: i**(-164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 26*z**3 + 2*z**3 - z**3.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 15*k**2 + 3*k - 74. Let u be o(14). What is the greatest common divisor of 41 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 8.9.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and 7\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*i - 1053800 = 246490. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*z + 5*u, -3*z + 0*z + 57 = -3*u. Let d = 26 - z. Let l(w) = 10*w**2 - w**2 - d*w**2. Let n(r) = -19*r**2. Give l(n(o)).\nAnswer: -722*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 535, 1073, 1611?\n\"Answer: 538*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50170*o**4*q - 2*o**4 + 2*o**3 - o**2*q - 121611*o*q wrt o.\nAnswer: 1204080*o*q - 48*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.55 rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqjjqjjqjqqqjjjjjqq. Give prob of sequence qjq.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*p - p = 62, 2*p = -5*c - 82 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 114 - 903756\/(-7685)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1960, 2049, 2176, 2341, 2544, 2785?\nAnswer: 3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {w: 4, d: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 75*l. Let k(i) = i. Calculate k(j(y)).\nAnswer: 75*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554840673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (390\/(-20))\/(2\/(-20)). Let l = -229 - -234. Suppose c - 50 = l*t. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 9*z - 11. Let c be u(-17). Suppose -28*g + c = -12*g. What is the remainder when (72\/45)\/(-1 + (-112)\/(-110)) is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 50. Let r = 14 + h. What is the nearest to -2\/3 in r, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + 0*l + 1 - 3*l. Let h be f(1). What is the units digit of 0 + 1 - (2 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -125*o**6\/24 + 373*o**3\/6 - 16*o**2 - o. What is the first derivative of g(l) wrt l?\nAnswer: -1875*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p + 15. Calculate z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44234 - -95421. What are the prime factors of v?\nAnswer: 17, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12416205 (base 7) to base 4\nAnswer: -10110002013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**0*h)\/h*h)**(-1\/61))**(-13))**(-1\/29) assuming h is positive.\nAnswer: h**(-13\/1769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5\/6)*k*k**(-1\/5))\/(k*k**(-2\/13)\/k*k**4*k)*((k*k**3)**(-36\/7))**23 assuming k is positive.\nAnswer: k**(-1302271\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*m + 14, 5*m + 3*y = 6*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Let u = -2.03 + y. Let q = -0.0300054 - u. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/(-231) - (-15)\/11. Solve -19 - z = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 11*i**2 - 16*i - 6. Let c(q) = 4*q + 61. Let r be c(-13). Let d be a(r). Solve -17 = -5*k + o, 0 = 2*k - 0*o - 3*o - d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:47 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2730, -2, 0, 2 in descending order.\nAnswer: 11, 2, 0, -2, -2730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916149395?\nAnswer: 5, 7, 1049, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.022, 0.02, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from qxqqoqiqxxxxxxxo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -3, -0.1, -84 in descending order.\nAnswer: 3, -0.1, -0.3, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2 - 33)\/1. Let g be l\/9 + 4\/(-18). List the prime factors of 3\/(-12) + (-61)\/g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 15. Suppose -h + 3*h + x = 5, -4*h + a = 4*x. Suppose 0 = -3*l - k - 0*k + 28, h*k + 36 = 3*l. Solve -5*w + 3*w = -l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -35, -12, -41 in decreasing order.\nAnswer: 3, -12, -35, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 847677*b - 847764*b - b**3 + 2543194*b - 847753*b + 1.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 44893680.1 to the nearest 10000.\nAnswer: 44890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 2, -438 in decreasing order.\nAnswer: 56, 2, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {q: 1, c: 1, a: 1, r: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12764\/5 + 2577. Let b = v + -24. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(-1 - 2*w + 1 + (-2 - 1 - 1)*(-2*w + 0*w + w) + 3*w - w + 0*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:58 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 98, -3 in decreasing order.\nAnswer: 98, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46813 times 2?\nAnswer: -93626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 141*g\/5 - 264.\nAnswer: 3*(g - 55)*(g + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1, n: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:26 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) 3 (d) -1559 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281\/9*c**2 + 1\/9*c**3 - 283\/9 - 565\/9*c = 0. Calculate c.\nAnswer: -1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71391, -73 in descending order.\nAnswer: 71391, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:58 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, h: 1, s: 3, k: 5, p: 3}. What is prob of sequence ess?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -3, -4 in increasing order.\nAnswer: -4, -3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4232881 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 38*r + 70. Is j(34) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 8. Let l(b) = 7*b + 19. Let i(w) = 2*l(w) - 5*o(w). What is i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 4*l + 756, -3*o - 3*l = 561. Let s = 392 + o. Round s to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 3 (b) 2\/9 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 108?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbec when four letters picked without replacement from ncbnnnnnnberbr?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 29*p + 26*p - 47*p + 4*p**3 - 1. Let s(y) = -3*y**3 - 7*y + 1. Give -5*k(h) - 6*s(h).\nAnswer: -2*h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52301 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b9 (base 12) to base 13\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose 6*x - k*x - 5 = 0. Solve -13 = -2*t + x*w, -2*t = -0*w + 2*w - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122036.24 rounded to the nearest one hundred?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/181 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let g be ((-2)\/(-4))\/((-183)\/(-26) - 7). Let k(i) = -5*i**2 + g*i**2 - 4*i**2. Determine k(a(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/610 and -3\/427?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a92 (base 14) in base 5?\nAnswer: -31323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 92 = -2*u. Suppose 3*s + 12 = -v + 3*v, -v = u*s + 1. Let x be 1\/v*(7 - 3 - 4). Which is the closest to x? (a) -1\/8 (b) 1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(0*d**3 + 5*d**3 + 4*d**3) - 4*d**3 + 11*d**3 + 14*d**3)*(-20 + 37 - 8 + 47).\nAnswer: 672*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -494? (a) 5 (b) 4 (c) 0.1 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-181 + 7*f + 181)*(4 - f - 3 - 2*f) to the form i*f + c*f**2 + h and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13605 and -6.\nAnswer: -81630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2401 and 294?\nAnswer: 14406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -132*j. Let f(p) = -2*p**2. Calculate f(t(i)).\nAnswer: -34848*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3505 + -1.2463.\nAnswer: -3506.2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148190895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from oooxooooxoooo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001672.\nAnswer: 2, 7, 31, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b - 3)*(-2*b + 0 - 7 + 10 + b**2) - 19*b**2 + 44*b**3 + 19*b**2.\nAnswer: 42*b**3 + 4*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -18, -1, -20, 0, 38 in descending order.\nAnswer: 38, 2, 1, 0, -1, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -11*y + 1172. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 0*k**2 + 2*k**3 - 3*k**2 - 1 + 3*k**4 to the form q*k + z + c*k**3 + o*k**4 + j*k**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(4 + 50). Let y = n + -23. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 4. Let y be f(-4). Let p = 36 - y. What is the lowest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, -0.4, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**31)\/w)**0*((w\/(w\/(w\/(w*w**(-5)))))\/w)**(-8\/5) assuming w is positive.\nAnswer: w**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 8, e: 2, u: 3}. Give prob of picking 3 e and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -6339?\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 99*t**2 + 173*t - 2930. Let l be y(-101). Which is the nearest to l? (a) -22\/9 (b) -4 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(205\/(-123)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3091\/740 - 186\/37. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*i**2 - 2 - 23*i**4 - 92*i**2 + 44*i**2 + 0*i - 2*i in the form o*i + l + v*i**3 + p*i**2 + s*i**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10410*h + 817. Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10933, -10936, -10941, -10948, -10957, -10968?\n\"Answer: -n**2 - 10932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3 + 3*c**2 + 5*c - 8 - 2 - 13*c. What is the units digit of d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 6 - (-12)\/(-4). Let d = y + -4. Sort -2\/5, d, -1\/3 in descending order.\nAnswer: d, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 6*w - 16*w + 2*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15334, -30335, -45334, -60331, -75326, -90319?\nAnswer: -105310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17*f + 6. Let k(w) be the first derivative of 3*w**2 + 2*w + 33. Calculate -4*i(z) + 11*k(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 222, 806, 1970, 3906, 6806, 10862?\nAnswer: 16266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 164, 244, 324?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1627 + -1645. Which is the nearest to t? (a) 1 (b) -0.3 (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 + 203.999575. Round u to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l - 6. Let v be t(6). Let g be (-2)\/(v\/12682) + (-2)\/(-2). Let b = 1076\/5 + g. Calculate the common denominator of b and -87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 669686 and 8?\nAnswer: 2678744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*r**3 + 3*o**3*r**2 - 2*o**3*r + 162*o**2*r**2 + 3*o - 56*r wrt r?\nAnswer: 12*o**3*r + 6*o**3 + 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:27 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2934926 and 1388?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-12)\/(-3)*5\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 5*u**2 + 7*u. Suppose -12 + 0 = -3*a. Suppose -a*d + 30 = d. Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 104*t**2 + 674*t + 18. Let r be x(-7). Solve 3*v - r = -387 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*i + 214 = 0, 178*w - 2*i = 173*w + 960. Solve 18*m = 68 - w for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 6*x + 156. Suppose -21*t = -x*t + 20. Let z(h) = 101*h**2 - 100*h**2 + 0 - t*h + 0. Determine z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5103\/380 + 17\/95. Let d = 3282679\/36 + -91193. Let x = d + -1\/36. What is the common denominator of n and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3035465*g**2 + 201024*g - 1.\nAnswer: 6070930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*v - 194978 = -26502, -5*v + 126355 = 3*n. Is n a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -36. What is the least common multiple of 14\/21 - l\/6 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + -10 - (23 + 23 + -40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11292?\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-329))\/(6528\/(-896)).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6688*f. Let b(u) be the second derivative of -49*u**3\/2 + 13476*u. Calculate -5*a(i) - 228*b(i).\nAnswer: 76*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.04. Let r = 49 - 49.16. Let s = r - x. Which is the third biggest value? (a) -7 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 + 6. Determine n(5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633, 3269, 4903, 6535?\nAnswer: 8165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -72*n**3 + 32*n**2 - 118*n - 1674. Let a(u) = 24*u**3 - 10*u**2 + 38*u + 558. Let s(y) = -16*a(y) - 5*z(y). Differentiate s(x) with respect to x.\nAnswer: -72*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:56 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let u(c) = 1042*c + 1640. Give u(g(p)).\nAnswer: -2084*p + 1640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7354960 and 8?\nAnswer: 7354960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*h = -722*h - 36. Let g(s) = -6*s + 6. Let a(t) = -7*t + 7. Give h*g(i) - 5*a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732270 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.93 + -0.07. Let l = 3.95 + c. Let a = l + -0.15. What is the biggest value in -3, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1)*765\/459. Solve -5 = -9*b + n*b + j, -2*b - 10 = 2*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3 + 0*x + x**2 - 13*x + 3*x - 1. What is g(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:40 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0. Let i = 23\/6 - 10\/3. Let c = 15\/16 - 3\/16. What is the second biggest value in c, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.67 + 2.64. Let a = -0.03 - i. Is a < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/11)*t))\/(t\/t**(-6\/7))*t**(-2\/19)\/t*t\/(t\/((t\/t**(-7\/3))\/t)) assuming t is positive.\nAnswer: t**(-6352\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b0 - 667?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -18*z**3 + 2*z**2 + 2*z - 2. Let p(l) = 37*l**3 - 5*l**2 - 5*l + 5. Give 5*n(j) + 2*p(j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 162, 243, 324?\n\"Answer: 81*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - -8) + -21 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.215 * 0.32.\nAnswer: -0.3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a1 - -17a?\nAnswer: 45b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.1. Let p = -16202\/3 - -5456. Let z = p - 56. What is the nearest to v in -0.1, z, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 226? (a) 4 (b) -0.2 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) 4 (c) -1.2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9073 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 322*c*t**2 + 25*c*t*v**3 - 2*c*t + 12214*c*v**3 - 2*c*v wrt t?\nAnswer: 644*c*t + 25*c*v**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**3 - 8*k**2 - 6*k. Let v be j(-2). Let r be -6 + (-85)\/v*-3. Is r bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -89, 11, -5, 5 in descending order.\nAnswer: 11, 5, 1, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7806327 and 22.\nAnswer: -171739194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyylflvlmfyflff. What is prob of sequence lym?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*y**3)*(-2*y**2 + 0 + 0) - 1165*y**5 + 2873*y**5 + 2985*y**5.\nAnswer: 4687*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 23, 5, -1, -2, 0 in increasing order.\nAnswer: -2, -1, 0, 5, 23, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*a + 1. Let s(m) be the first derivative of -11*m**4\/4 + 2*m**3\/3 - m + 21. Let v be s(a). Calculate the greatest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.4, 11657, 3\/5?\nAnswer: 11657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/71064 and -47\/1951551.\nAnswer: 2201349528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 12:46 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 36*g - 100. Calculate n(14).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*z**3 - 15*z**2 + 495?\nAnswer: -9*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/m**(-3))**(-25))**(18\/5))**(-42) assuming m is positive.\nAnswer: m**22680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, 0 = -4*t + 9*l - 6*l + 1093. Let a = 234 + t. Calculate the remainder when a is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860018.5 millilitres in litres?\nAnswer: 860.0185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5\/5 + 281*w**4\/5 - 298*w**3 - 528*w**2\/5 = 0.\nAnswer: -1\/3, 0, 6, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 317159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -21.5. Let f = -11.4 + n. Let d = -6.1 - -3.1. Sort d, 2\/19, f, 1 in descending order.\nAnswer: 1, 2\/19, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78840*j**3 + 16074*j**3 - 402092*j**3 - 150798*j**3.\nAnswer: -615656*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 17584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 86*x**2 - 2*x + 126. Let g be d(43). Let v be (-20)\/g + (-57)\/(-12). What is z in -1 + z + v*z**2 + 23\/4*z**4 - 35\/4*z**3 - 5\/4*z**5 = 0?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1396276 and -59\/207956.\nAnswer: 9773932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 - 2*s**2)*(1 - 1 - 2) + (-2*s**2 + 0*s**2 + 6*s**2)*(-1 + 0 + 0) + 0 + 0 + s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**3 - 10*d**2. Suppose 1023*f - 1027*f = -16. Let a(u) = u**3 + u**2. What is f*c(y) + 40*a(y)?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.003609 and 0.4.\nAnswer: 0.0014436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302418, 605680, 908942, 1212204, 1515466, 1818728?\nAnswer: 2121990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -108?\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147 - 147 - 40*v**2 to the form q + r*v + g*v**2 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 132748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = -45. Let b be (-4 + -5)*(-6)\/g. What are the prime factors of 300\/b*6\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -149. Let n be 2 - 0 - 40\/22. Which is the closest to 2\/9? (a) t (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166294 is divided by 6327?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*x - 12 = 0, -i - 5*x + 21 = -8. Suppose -10 - 10 = -5*m. What is the second derivative of -2*n**4 + 4*n**i - 11*n**m + 2*n wrt n?\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 167 = 649 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - m + 1 = 0, -63817*m + 8 = 2*b - 63814*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxsxgsyxu. Give prob of sequence gx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 925\/150 + (-2)\/12. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**7)\/(w**(-1)\/w*w)*w**(-2\/11)\/(w*((w\/w**(1\/10))\/w)\/w))**1 assuming w is positive.\nAnswer: w**(981\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*f**3 + 25763*f**2 + 2*f**3 - 674 - 25562*f**2 wrt f.\nAnswer: 6*f**2 + 402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3868539.\nAnswer: 3, 1289513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 57, 98, 149, 210, 281?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003333\/1030 > 973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.8, 5, -2, 861, 4, -2\/429?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 125.13 (b) -2\/11 (c) 1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54809863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*j + 25, 217*r - 214*r + 5 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from xubfauaaxfffvbfv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3201 = 4*a - 379. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1202\nAnswer: 360.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/21)\/(-64 + 66).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(300) + 4 + sqrt(300) + sqrt(300))*3*5)**2 + -2.\nAnswer: -13500*sqrt(3) + 607723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(32)*-6) - (0 + (sqrt(3) + sqrt(3)*1)*-6))*-2)**2.\nAnswer: 82369\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r**2 + 36*r + 15. Let p(f) = -3*f**2 - 5*f - 2. Let b(h) = 15*p(h) + 2*y(h). Find the second derivative of b(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*d = -75, -3*d + 25 = m - 2*d. What is the smallest common multiple of m and 9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.02 + -89. Let o = -0.12 + f. Let z = -10304 - -10301. Which is the nearest to 1? (a) z (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80330.37 months in millennia?\nAnswer: 6.6941975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**2 + 22*c**2 + 11*c**2 - 54*c**2.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u. Suppose z - 5 - 6 = u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 936166655*g - 21 + 936166658*g - 26.\nAnswer: 3*g - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1) + 0 - -50. Let q(y) be the first derivative of y**3\/3 - 3*y**2\/2 - 8*y - 1. Let n be q(7). What is the highest common divisor of i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = -3*r + 22, -3*r + 2 = -u. Suppose 3*i = 4*n + 16, -i - 2*n = 12 - u. Suppose 3*v - 125 + 5 = i. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6206662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 8. Let y(r) = -r + 6*r + i - r**2 - 5. Calculate y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(17))*1.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/((-36)\/(-30)). Let z = -22.11 - -22. Let n = -1.11 - z. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.473 and -7.\nAnswer: -3.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose -4*i - 4*r + 12 = z, 3*i + 2*r + 2*r = 9. Is (-1)\/((-2 + i)\/(-1099)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)*63\/(-14). Let t be (1\/7)\/(q\/18). Let r = -9 - -4. Which is the closest to t? (a) 3\/5 (b) r (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20623, 20828, 21049, 21292, 21563, 21868, 22213, 22604?\n\"Answer: i**3 + 2*i**2 + 192*i + 20428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -74.851. Let n = 1.161 - v. Let q = 1.31 - n. Put 0.4, 5, q in decreasing order.\nAnswer: 5, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111101001 (base 2) in base 11?\nAnswer: -423a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 5 - 4*l**4 + 2*l - 2 - 2 as o*l + i + b*l**2 + a*l**3 + q*l**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 28 = 2*k, -7925*k + 7923*k - 8 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 24\/8)\/(1 - 8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26989230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*2*-4*2 + ((0 + sqrt(3087) + sqrt(3087))*4)**2 + -5 + 2.\nAnswer: -144*sqrt(7) + 197565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*l - 807 = 2848, -4*t - 2*l = -2924. What are the prime factors of t?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*4\/(-6). Let p = 2 + a. Let k = 168 - 186. Let b(h) = -h**3 - h + 1. Let y(f) = -21*f**3 - 18*f + 18. Calculate k*b(t) + p*y(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + (sqrt(242) - (sqrt(242) + -1)) + sqrt(242) + 4 + -5 + -1*(sqrt(242)*-2 + sqrt(242))*6)*-5)**2.\nAnswer: -7700*sqrt(2) + 296550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/2285 + -19552\/25135. Find the common denominator of x and -99\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2429 + 14826. Suppose -9*t + m = 14*t. What are the prime factors of t?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3865*r + 15867 = -3496*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2. Let g(o) = 3*o + 5. What is t(g(l))?\nAnswer: 27*l**2 + 90*l + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 4 + (2 - 1 + 0)*(-1 + 0 + 2) - 2 + 4 + 0 + 5 - 2 + 0)*(17*r**3 - 10*r**4 - 17*r**3) as g + a*r + w*r**3 + s*r**2 + n*r**4 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(80) - -1*sqrt(80)) + -5).\nAnswer: -24*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 120 = 21*i. Suppose 9*t + i = 13*t. Is (-1873)\/(-15) + 4\/t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229.95 - -230. Put 1\/7, 3, a, -2 in ascending order.\nAnswer: -2, a, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1127.03 + 1127.63. Suppose -2*v + 3 = -1. What is the second smallest value in v, a, 3, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2117\/9 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*f**2 + 3*f - 5*f + 4*f + 5*f**2 - f to g + s*f + q*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 35, 81, 3 in decreasing order.\nAnswer: 81, 35, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156922238*k**5 + 66277750*k.\nAnswer: -3138444760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 4*w**3 - 30.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -21)*-10*2\/(-4) is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:44 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 183066*f**2\/19 - 3295186*f\/19 - 36\/19 = 0.\nAnswer: -1\/91533, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.12 + 28.92. What is the closest to -1 in a, 11, 1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -35*n - 7. Let d be h(-6). Let c be (6\/(-2) - -2)*0. Suppose z + 49 - d = c. Calculate the greatest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 46. Let c = -68.35 + n. Let o = 0.6499298 - c. What is o rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:03 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 340666952.6 to the nearest 100000.\nAnswer: 340700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2462, -2463, -2464?\nAnswer: -2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927225641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 5443.16.\nAnswer: 130635.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 7. Let t(x) = -36*x - 38. Let f(y) = 5*l(y) + t(y). Calculate f(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1) + 0 + 0. Suppose -4*s - 455 = 245. Let i be -1 + y + 3 - s. Calculate the greatest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298567 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*l + 69*l - 543 = -4169 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 10*r**2 + 13*r - 23. Determine g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f)*(-8*f + 18*f - 6*f) - 4*f**2 - 5*f**2 + 5*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41412 and 278052?\nAnswer: 1946364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 470, 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 22. Let y = a + 38. Suppose 2*c + 24 = 4*c. Calculate the lowest common multiple of c and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1948657.5 nanoseconds?\nAnswer: 0.00000002255390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 141*b**6 - 19*b**2\/2 + 3*b - 781. Find the second derivative of l(u) wrt u.\nAnswer: 16920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22 greater than or equal to 9904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Let j be (-6)\/(-5)*(-30)\/(-9). Solve -i + j*u = -24, -2*u + g = 5*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176521, 706029, 1588507, 2823955, 4412373, 6353761?\nAnswer: 8648119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2. Let d(m) = 4505049*m. Calculate d(v(i)).\nAnswer: 22525245*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let f(p) = 15*p + 1114*p**2 - 120*p + 105*p. Give g(f(i)).\nAnswer: -3342*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, n: 2, l: 1, d: 2, m: 1, w: 3}. Give prob of sequence nw.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + (-2 + 1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -48. Suppose 5*o + 29 = r, 5*o + 5*r + 3 = -b. What is the closest to 2\/5 in 2, o, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -88 - 87 + 174 - z. Let q be t(-5). Let 0 + 0*p - 4\/3*p**q - 2\/3*p**3 - 2\/3*p**5 + 0*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/5*-1)\/(2\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 13089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202834?\nAnswer: 2, 37, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1160 - 111. List the prime factors of a.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb - 2?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34614*j**4 + 22827*j**2 wrt j.\nAnswer: 830736*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/132 and -85\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1607907 by -23303.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30333 is divided by 4332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2 = 5*u, -5*y = -3*u - 0*u - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645822 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 23*f + 25*f + 187, -12*m - 5*f = 733 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4) + sqrt(16)\/(sqrt(4) + sqrt(4)*2)) + (sqrt(1764)*-2)\/sqrt(12).\nAnswer: -53*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/2 - -41\/18. Let w = 0.03 - -0.07. Which is the nearest to 0.2? (a) 5 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40755 = -42316*r + 42943*r for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -23. Which is the closest to -1? (a) -4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -10)*4\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.4. Let u be 1\/3*(-9)\/6. Which is the closest to u? (a) 5 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -157, -357, -637, -997, -1437?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.2 (b) -3 (c) 13\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + -1 + (-11)\/(-4). Sort 3, -5, q, -3 in decreasing order.\nAnswer: 3, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/35 and 39\/49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39154398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 920\/55 + 267\/(-858)*-1.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64196851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591 = -i + 1858. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 367905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 26801468?\nAnswer: 26801504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -489050 times 7?\nAnswer: -3423350","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -25*(52\/(-20) + -1). Let o(b) = -v*b + 37*b + 40*b + 28*b. Let w(x) = x. What is o(w(k))?\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 23543364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -25*(5 - (-130)\/(-25)). Solve 0 = 2*r + y*i - 5, 5*r - 2*r = -i + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:32 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/42*1)\/(132*(-57)\/(-55176))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -847 - (7 - 6)\/(11\/(-99)). Are -840 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 16) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - s = 5*l + 9, 4*l = -2*s + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504052 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrm. What is prob of picking 1 r and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) - (-2)\/(4\/(-9)). Sort -2\/5, -17, x, -3 in ascending order.\nAnswer: -17, -3, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*z = -2*j - 85*z - 3, 3*j - 15 = -2*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 - 11*n - 14. What is w(7)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4, 25078 = 5*f - 5*k + 24998 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-27) + 932\/18. Suppose 3*w + 0*a + u = a, 0 = 3*w + 4*a + 77. Find the common denominator of ((-245)\/(-12))\/(-5) + (w - -20) and -161\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9986429.\nAnswer: 17, 587437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 + -251. Suppose u = 4*z + z. Let c = -7 + 27. What is the lowest common multiple of z and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/2668648 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruir when four letters picked without replacement from {y: 3, r: 2, a: 1, i: 2, u: 3, o: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, -4*q + 0*w + 21 = -w. Solve 0*v - 3*v - q = -t, 0 = 5*v + 2*t + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 6. Let u(i) = -3*i - 17. What is 7*h(z) - 2*u(z)?\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/41 - -322\/615. What is the closest to -12.2 in 4\/7, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/5)\/(24\/860) and -12\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g + 21*g - 12 + 22*g + 14.\nAnswer: 25*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*((-18)\/(-36))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldll when four letters picked without replacement from ddddlddddldllldd?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2220*g**2 - 1450*g + 42. Let w(r) = 1110*r**2 + 725*r - 22. Let s(m) = -6*i(m) - 11*w(m). Suppose s(p) = 0. What is p?\nAnswer: -2\/3, 1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -766\/37 or -21?\nAnswer: -766\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -27175?\nAnswer: -8\/27175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -770*f. Let g(v) = -v - 3. Determine g(z(i)).\nAnswer: 770*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*w + 60*w + 63*w)*(-5*w**3 - 9 + 9 + (3 - 2 + 0)*(w + w**3 - w)) - 2 + 2 - w**4.\nAnswer: -37*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 - 148. Suppose -33 + w = 7*i. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 2. Let p = -14882\/255 - -3010\/51. Let g = p - 1\/17. What is the smallest value in x, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 33. Suppose 2*q - 2*t = -f, 0 = -2*t + 7 + 1. Let w(g) = -19*g + 1. Calculate w(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, x: 3, g: 3, v: 3, q: 2}. What is prob of picking 1 q, 1 v, and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(2\/23)*y**(-5)\/y*(y**(-2)\/y)\/(y*(y\/y**(-6))\/y*y*y*y) assuming y is positive.\nAnswer: y**(-393\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.117472 days to weeks.\nAnswer: 6.302496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:31 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 70. Suppose -3*v - g = 2, 5*v + g - 2 = -8. Let q be v*((-3)\/3 - 1). Put q, x, 0 in increasing order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**10\/j)\/j*j*(j**(5\/4)*j)\/j*j)\/(j*(j\/j**(2\/7))\/j)**(-32\/7))**33 assuming j is positive.\nAnswer: j**(93885\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*h**4*v - 11*h**4 + 2063*h**2 - 2*h*v wrt h.\nAnswer: 4752*h*v - 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5386*s**2 - 1035 wrt s.\nAnswer: 10772*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3. Let p(l) = -l**2 - 2*l + 718 - 4*l**3 - 719 + 2*l. What is 6*m(h) + p(h)?\nAnswer: 2*h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 74 = -14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -0.05, 3\/2, 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-6)\/10)\/((-2)\/(-80)). Let j = -21 + h. Let d = 13 - 8. Sort 4, j, d.\nAnswer: j, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqvfrpqqqfff. What is prob of picking 1 q and 1 p?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 y when four letters picked without replacement from usyuysuuu.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*x - 257*x + 832*x + 1447 + 9398 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 279*h - 2. Let y(o) = -o**2 - 2*o + 3. Give -j(c) - y(c).\nAnswer: 3*c**2 - 277*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 19 = -5*g, 18 = -61*c + 58*c + 2*g. Let j be 1 + (1 - c) + -6. Solve j = 2*x + 4 + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1086 - 1090. Put -3, -1\/46, 0.3, q in decreasing order.\nAnswer: 0.3, -1\/46, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m - 8*m + 6*m - 10. Let f be c(2). Suppose -4*n = -3*p - 23, -5*n + 2*p - 8 = -35. Solve f = g + 2*g - n*b, 20 = -5*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 11*j**2 - 4*j. Let d(t) = -4*t**3 + 10*t**2 - 5*t. Determine -4*d(f) + 5*r(f).\nAnswer: f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - ((-16)\/20 - 3)) + (-122805)\/(-1275) + -97?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 8*z**2 - 40*z - 88. What is m(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 4*c + 9*c**2 + 0*c**2 + 9 + 8*c to the form i*c**2 + f + s*c and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -436043 - 1?\nAnswer: -436044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18341, 36666, 54995, 73328, 91665, 110006, 128351?\n\"Answer: 2*r**2 + 18319*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -62 + 10 - f**2 + 6 - 1 + 20*f. Is h(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -0.0177128, 3?\nAnswer: -0.0177128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 1\/3*s**3 - 2*s - 3*s**2 + 1\/12*s**4 + 0. Let q be f(-4). Solve b + 8 = -q*h, 0 = 5*h - 2*b - 3*b + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.01 - -2. Let y = b + -2.99. What is the smallest value in -1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from {r: 1, i: 2, e: 1, n: 1, o: 1, c: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121136596?\nAnswer: 2, 6247, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -8*a + 25. Let j = a - -35. Let p be (-2)\/j + (-288)\/(-40). Let c(z) = -4*z**3 + 7*z + 7. Let b(m) = 3*m**3 - 5*m - 5. Give p*b(y) + 5*c(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 - 4*h - 17. What is q(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1271, 1\/8, 13 in decreasing order.\nAnswer: 13, 1\/8, 2\/1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1099 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17125 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbqhgbxx. What is prob of sequence qh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86175 is divided by 28723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(124 - 67134\/536). Find g, given that -3\/7*g**3 + 3\/7*g - 45\/7 + 45\/7*g**x = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/3 - 97*k**2\/3 - 1114*k\/3 - 616 = 0.\nAnswer: -84, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58464223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 10) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*n = 0. Suppose n = 2*k + 4*a - 444, 5*a + 1080 = 8*k - 3*k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 33*h - 60 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -10001?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/15 - f**4\/24 + 2*f**2. Let o be u(-2). Suppose -4*l = 10 - o. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717 - 53985 = -27*v. Suppose 2*w + 3*d = 2*d + v, 3049 = 3*w + 4*d. What are the prime factors of w?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*h + 86*h - 29*h**3 + (-2 + 0 + 0)*(h**3 - h**3 - 2*h**3) - h**3 - 2*h**3 + 0*h**3 to the form t*h + w*h**2 + a + k*h**3 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eupzluleuwzu. What is prob of sequence upzu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1 - 1. Let t(d) = 5*d**2 - 4. Let g(m) = 14*m**2 - 11. Let i(b) = -4*g(b) + 11*t(b). Calculate i(h(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:26 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 12*j**2 + 77099 - 415068 - 24*j**2 + 10*j**2.\nAnswer: 2*j**2 - 337969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - z - 40 = 0, -c - c + 68 = z. Let p(l) = 2*l**3 - l**2 - 2. Let a(f) = -34*f**3 - 8*f**2 + 70*f + 134. Let m(w) = c*p(w) + 2*a(w). Factor m(x).\nAnswer: 4*(x - 7)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/36 - -1\/18. Let m = 9.92 + -10. Let a = 3.92 - m. What is the third smallest value in a, h, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/24 + 119*t**5\/4 - 3525*t**4\/8 + 5265*t**3\/2 - 2*t**2 - 3834*t. Factor k(i).\nAnswer: -5*(i - 351)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4817.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -10 + 7 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5710 - 5707. Let m(h) = -h**3 + 6*h**2 + 7*h + 6. Let v(w) = -3*w + 1. Let b be v(-2). What is the remainder when m(b) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 5 (c) -0.2 (d) 2\/13 (e) -631\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166279781\/672484 + -1683\/7556. Let m = k - 148230819\/599326. Let l = -2\/481 - m. What is the smallest value in -0.2, l, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121331.\nAnswer: 7, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 46943*h**2 + 68069*h**2 - 21122*h**2.\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932535 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-3)*(3\/(18\/4))\/((-66540)\/538974)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1924 + 1960. Solve -y = 8*y + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(2736) + sqrt(2736))**2*-5 - -2*sqrt(57)\/(3*sqrt(27)).\nAnswer: -123125 - 3238*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 - 4 = -3*w, -w - 5*n + 7 = 0. Suppose -6 = -4*s + w. Let i(l) = -2825*l + 8477. Let x be i(3). Solve -3*p + s = a - 1, x*a + 2*p + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 14*o**2 - 5*o + 3*o.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 4.\nAnswer: -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 70. Let z = q - 7. Solve -5*i = 4*r - z - 12, -5*i + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321261083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -0.094.\nAnswer: -0.094, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnheyte. Give prob of sequence eney.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/73472 and -89\/80.\nAnswer: 367360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 36*a**2 + 262*a - 46. Give u(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/4 - (-1)\/(-2). Let m be (-68)\/(-10)*10\/2. Calculate the remainder when 17 is divided by o\/(-12) - m\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094157.\nAnswer: 3, 1364719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5684)\/49)\/(-58)*8\/(-1)*(-3)\/(-54)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -160, -1051, -2552, -4663, -7384, -10715, -14656?\n\"Answer: -305*y**2 + 24*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13. Let j = 1 + -3. Let r = -1.8 - j. Which is the closest to 0? (a) r (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/4 - -141\/20. Let u be (16\/(-7))\/((-3762)\/(-399))*6\/8. Sort u, 59, s in descending order.\nAnswer: 59, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 (base 9) in base 11?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from qjji.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let p be z(2). Let r = -4 - p. Let w(v) = v**3 + 5*v**2 - 6*v + 1. Give w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 30. Let h(k) = -37 + 14*k - 4*k**2 + 34 - 8*k**2 + 13*k**2. Give h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -81 - 33 - (223\/(-25) - 0)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -21715*w**2 - 54248*w**2 - 2*w - 15017*w**2 - 4 - 53*w**2. Let j be n(-10). Let r = j - -3003284. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311231130 (base 4) to base 15.\nAnswer: -ea7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20*p**2 + 2*p + 1. Let d be y(-1). Suppose 7*r + 294 = 4*r. Let u = d - r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b8 - -5?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*h + 4, -h - 19 + 1 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and ((-63)\/2)\/(113\/(-452))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**2 - 7335411*p - 2934162.\nAnswer: -3*(p + 489027)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (14 - 28) + (-1 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -197*u - 44. Let v(g) = -3*g**2. Determine q(v(b)).\nAnswer: 591*b**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223 or 1111\/5?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 505*k**2 - 63712*k - 3612. Calculate u(258).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 117. Let a be t(-17). Determine r so that -2*r**a - 314*r + 147*r - 40 + 143*r = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 6) in base 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082240 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6456 * -16.2\nAnswer: -104587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1110.2483 and 0.2.\nAnswer: -222.04966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 14*d + 6. Let p = -7 - 26. Let h = -30 - p. Solve 2*g - 3 = 5*f, 0*g - d = -g + h*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k, -2*k - 444 - 270 = -n. Calculate the greatest common factor of n and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f = -1382 + 446 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337187986?\nAnswer: 2, 168593993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 24*m - 339087 = -39*m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/3 - 2*a**2 + 2*a. Let p(q) = -4 - 1 - 5*q + 3*q. Let b(f) = 5*p(f) - 6*y(f). What is b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 - 375\/(-35). What are the prime factors of (-4)\/(3 + (-35)\/f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141226*b**2 - 192898*b?\nAnswer: 282452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.8 = -1.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-862)\/(-14) + (3 - (-325)\/(-91)). Let d(n) = -20*n + 4. Let t be d(-3). Let y = t - f. Which is the third biggest value? (a) 0.1 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert da93b (base 16) to base 14.\nAnswer: 1943b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7613 - 7613 - 192*p)*(2*p**3 + 3*p - 3*p + p**3 + p**3 + p**3 + (2*p - 5*p + p)*(p**2 + p - p)).\nAnswer: -576*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13653, -54625, -122913, -218517?\nAnswer: -341437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 + 203240*u**2 + 2845948*u + 9961504 = 0. What is u?\nAnswer: -7, 50824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 6, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 115*h - 442. Calculate t(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637397 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8722851 is divided by 15576?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1154.5239 months to years.\nAnswer: 96.210325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54440041 (base 6) in base 10?\nAnswer: -1622617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 16. Let p be k(-9). Let x = 2 + -13. Let n = x - p. Which is the biggest value? (a) -2 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from pzzp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29693 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-24)*(40 - 42) - 1*-4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 36*x**2 - 145*x - 6. Let y be b(6). Calculate the highest common divisor of y and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(288) + -3 + sqrt(288) + 2 + sqrt(288)*-3 + 5)*-1)**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/10 of a centimeter?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 5*j - 2*j)*(-40 - 38 - 7) - 39*j - 2*j + 13*j + 2*j + 2*j - 6*j + (-4*j + j + 2*j)*(-6 + 3 + 4) to v + o*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25016, 25020, 25024?\n\"Answer: 4*a + 25012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/((-30)\/24). Solve -p*f = -3*q - 4, 3 - 11 = 2*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4339 is divided by 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -98. Let a = -13 - k. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 19*s + 20. Let a be o(-18). Let f(u) = -u**2 + 8*u - 9. Let q be f(6). Let k(g) = -5*g - 1. Let y be k(-1). Sort a, y, q.\nAnswer: a, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 - 8213304*j + 4216147662276 = 0. Calculate j.\nAnswer: 1026663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 0 + 5 + sqrt(931)*-1*-1 + 1)**2*-1.\nAnswer: -3760 - 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -723889495 divided by -422093\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*g**2 - 506*g**2 + 146*g**2 + 27*g**2.\nAnswer: -1371*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(2\/35)\/(15\/75). What is the closest to 0.5 in g, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 479 and 337398020.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = 2*b. Let f = b - -4. Solve f = -s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/132 and 109\/16630020.\nAnswer: 16630020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*k**2 - 5*k**3 - 104*k + 105*k + 26*k**2 as q + p*k**2 + z*k + y*k**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1, l: 10, o: 3}. Give prob of sequence vl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473 divided by -1?\nAnswer: -3473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34\/15 + -2966\/1335. Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*c + 20. Calculate the remainder when (-106)\/3*(-30 - 513\/(-18)) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 32 + 123 - 51*t**3 - 55)*(0*t + 2*t - 3*t) as b*t**4 + p*t**3 + i*t**2 + m + r*t and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1164 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 3586?\nAnswer: 118338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171379895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4305737 is divided by 467?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-12))\/((-1)\/(-3)). Let q(s) = -s - 3. Let h(t) = -2*t - 6. Let p(g) = 4*h(g) - 7*q(g). What is p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 66 - 87 = -15*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4154227*u**2 - 42980139*u.\nAnswer: 8308454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 19 - 36)*(4 - 2 - 4)*(4*s - 10*s - s) - 4*s + 5*s - 3*s to the form k*s + r and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 5*p**3 - p + p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/4 (b) 0.6 (c) 87 (d) -2 (e) 844 (f) 4\/5 (g) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327903943*u**2 - 325056696.\nAnswer: 655807886*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71866921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, 139, 622, 1299, 2170, 3235?\nAnswer: 4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -0.11, -0.2, -2\/9, -536?\nAnswer: -536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/3)*g\/(g**1*g))**50\/((g**(-1))**(-27)\/(g**(2\/7)\/(g*g**2*g))) assuming g is positive.\nAnswer: g**(-1345\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124561 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 7*j + 10. Let i(k) = k**3 - 13*k**2. Let o be i(13). Suppose 5 = -t - o. Let s be c(t). Is s less than -5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r + 2. Let d be h(4). Let v(x) = -1 + 1 - 2*x - 3 + x. Let s be v(-4). Solve -3*a - d = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(24)\/sqrt(2)) - sqrt(22))\/(sqrt(32) - sqrt(288)) - -2*(sqrt(11) + 1*(sqrt(11) + 1) + 5).\nAnswer: 12 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9023 - 16*g - 9023.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -1) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 335, 422, 539, 686, 863, 1070?\n\"Answer: 15*h**2 + 42*h + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -33, -39, -47, -57, -69?\n\"Answer: -z**2 - z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 24*d**2 - 27*d - 94. Let u be n(-23). Suppose 5*q + 3*j + 81 = 0, -3*q = q - 5*j + 50. Which is the biggest value? (a) 3 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7025717600 to the nearest one million.\nAnswer: 7026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 14*o + 2. Let j be x(-14). Is j at least 13\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32880)\/(-4680) + 24\/(-936)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 6*n - 11*n + 39, -3*n = -3*c - 24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47275781065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -21*o + 1392. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 3. Let h(q) = 5*q - 19. Let z be h(5). Let u(o) = -2*o - 1. Suppose -x - 4*x - 85 = 0. Give x*u(b) + z*f(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -77440.\nAnswer: -9\/77440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 47231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12075252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 56 = u - 0, 10 = n - u. Suppose 0 = 4*c + 2*i + 4, 4*c = 5*i + 13 + n. Let z be 1\/(-2)*(c - 1). Which is bigger: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:58 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*i - 30940 = -281*i - 2484*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23335*j**2*p**3 - 17573*j**2*p + 24860*j*p**3 + 71*j*p**2 - 2 wrt p?\nAnswer: 140010*j**2 + 149160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001435978042 to seven dps.\nAnswer: 0.0001436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -9, 181, 603, 1335, 2455?\n\"Answer: 13*w**3 - w**2 - 52*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872004?\nAnswer: 2, 3, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:55 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmfdpdaca. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 555, 1068, 1581, 2094?\n\"Answer: 513*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 11*v**3\/3 + 24*v - 12. Find the first derivative of c(o) wrt o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1226+-0.1\nAnswer: 1225.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 + 1799586*s**4 - 404829017598*s**3 + 6881686598110*s**2 - 25502155016832*s - 32788672432128 = 0. Calculate s.\nAnswer: -1, 9, 449888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -401, -13, -4 in increasing order.\nAnswer: -401, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4805269, 4805230, 4805191?\nAnswer: 4805152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289 divided by -17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -396 + 396.03. Which is the closest to 2\/5? (a) 13 (b) 0.4 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051164 is divided by 629.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14094 and 188699868.\nAnswer: 566099604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617912 is divided by 617900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*711\/79*1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 14 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 296882483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w. Let b(x) = -34*x. What is 6*b(h) + 13*c(h)?\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2756.3279 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:16 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-156)\/10)\/((-120)\/40))\/(((-128)\/20)\/4).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/4 - 4. Let i = -4 + 3.95. Let x = i - -0.35. What is the second biggest value in x, u, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15452 is divided by 342?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986326 is divided by 206.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.009991928 + -12.01. What is a rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -9*i + 32. Let r = 26 + i. Factor -r*k**4 - 13*k**3 - 5*k**5 + 20*k**3 - 12*k**3.\nAnswer: -5*k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -3, -149, -39, -9 in decreasing order.\nAnswer: 1, -3, -4, -9, -39, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 + 86*s. Let h(i) = 18*i**2 + 2*i. Calculate -4*a(v) - h(v).\nAnswer: -22*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:07 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12311 (base 5) in base 11?\nAnswer: -79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101184.7653 - 378.\nAnswer: 100806.7653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -196*r + 61. What is y(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p, -3*r + 13 + 32 = -p. Let n = r - -10. Suppose -s + n + 19 = 0. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*k**3 - 793*k**3 + 4*k - 4*k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r - 40*r + 25*r**4 + 2 + 22*r to f*r**4 + d*r + q*r**3 + t*r**2 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 15403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28453000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2*v - 0*v - 24, 496*d = 500*d - 5*v - 57 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1432 + 1423. Which is the smallest value? (a) 1 (b) -0.1 (c) -2\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137488.\nAnswer: 2, 3, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:33 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*u**2 - 2*u**2 + 5 - 6 + (0 + 0 - 2)*(-57 + 57 - 22*u**2) - u**2 - u**2 + 3*u**2.\nAnswer: 30*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22318611 rounded to the nearest 100000?\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 - 1.45. Let a = -148.15 + d. Let f = 148.0118 + a. What is f rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dss when three letters picked without replacement from sfsssffsssffqqsqdsf?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -270484982 divided by -2\nAnswer: 135242491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.095590469.\nAnswer: 0.860314221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-5) - ((-102)\/30 + 3). Let v = -6 + 13. Suppose -4*k = -5*i - 1, -2*i + v = k - i. Solve 0 = -w*x + 1 + k, 21 = 5*c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 1.2. Let i = 3.05 - 0.05. Let w = i - 4. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5 - 20 + 27 - 2*r**3 - 2*r**2. Let a(i) = -3*i**3 - 5*i**2 + 5. What is 2*a(j) - 5*d(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 11) in base 7?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -885995942*y**2 + 2*y - 182537671?\nAnswer: -1771991884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439837 is divided by 479873?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41726, 83448, 125158, 166850, 208518, 250156, 291758?\n\"Answer: -i**3 + 41729*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1986 in -1\/4, -5, 0.04, -3, -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 589, 426, 2, -4 in decreasing order.\nAnswer: 589, 426, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(119)\/(sqrt(7)*5))**2*2.\nAnswer: 1224\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26\/5 + 36*u - 32\/5*u**4 - 432\/5*u**3 - 194\/5*u**2 = 0. Calculate u.\nAnswer: -13, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -4*803)\/((-1 - 3) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*s**3*u**2 - 85*s**3*u - s**3 - 7*s - 1578*u**5 - 5*u wrt u.\nAnswer: 138*s**3 - 31560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29702442241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750558795?\nAnswer: 3, 5, 7, 1973, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -69867 divided by -7?\nAnswer: 9981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 83140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/3 + 2180*a. Let y(t) = -342*t. Calculate y(x(f)).\nAnswer: -1368*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 512*u\/3 + 170.\nAnswer: 2*(u - 255)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -550.\nAnswer: -3\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4097*o**3 + 4*o**2 + 26227*o wrt o?\nAnswer: -24582*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 4204 - 2600 = 90*s - 17*s for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1026 and 4028?\nAnswer: 108756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*r - 24, -t - 3*t + 1 = -3*r. Suppose c + 153 = 4*c. Calculate the remainder when c is divided by (3\/(-6))\/(t\/(-72)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 117 from 12.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose 0 = -5*i + 9 + 21. List the prime factors of (i - 5)*(21 + z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 = 116*l + 12 - 102 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbnnbnnnnnnnnnbbbn. Give prob of picking 1 b and 1 n.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -162629.3 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4 - 11. Suppose -16 = -o*s - s. Let a(p) = 3*p**2 - 3*p - 2. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.093 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.43 + 0.65. Let t = 0.08 - d. Which is the second biggest value? (a) 2\/9 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a + 3*c + 353815 = 40*a, 0 = 3*c + 15. What is a rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/10*(-100)\/(-8). Suppose -4*y = -3*r + 23, -y + 6*y + w = 0. Suppose 0 = r*b - 5 - 5. Solve -u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let n(b) = b - 4. Let h(d) = n(d) + q(d). Suppose 4*w = 8*w. Determine h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d**3 - d**2 + 0 + 1\/60*d**5 + 0*d**4 + 0*d. Let s(i) = -i - 3*i + 2*i. What is s(c(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 329 (b) 0.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18416.7 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -264.5 and 2855.\nAnswer: -755147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**2 - k - 1. Let q(y) = 0*y - 5*y - 9 + y + 3*y. Let g be q(-8). Let a be n(g). What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 224*h - 2940.\nAnswer: -4*(h + 21)*(h + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -264*k**7\/35 + k**3 + 618*k**2. Find the first derivative of n(g) wrt g.\nAnswer: -6336*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/2310 and 43\/56?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 54*l**2 + 105*l**2 - 53*l**2 to the form i*l + x*l**2 + u*l**3 + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 1. Suppose 102 = -6*s + 18. Let n(f) = -13*f + 1. Calculate the remainder when i(s) is divided by n(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 3*y - 1. Suppose 2*v = -1 - 3. Let l be w(v). Let z = l - 6. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -158*(-3 + 2\/(-4)). Suppose p = -d + 5*d + 177, 3*p - t = d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -39*v + 1365. Let z be j(35). Put 3, 0.3, -11, -19, z in descending order.\nAnswer: 3, 0.3, z, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 2. Let s(p) = -p + 4. Let d be s(3). Give z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 34*i**2\/3 + 2308*i\/3 - 5520.\nAnswer: -2*(i - 20)*(i - 9)*(i + 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 16 - (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14798*r**2 + 324*r - 92700514.\nAnswer: -29596*r + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/8, -157, 36834, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*o - 16837 - 14294 - 15653 = 20144 for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhuuouhummumuhhh. Give prob of picking 1 h and 1 o.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -86\/4893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) -1 (c) -0.1624 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 412 = 2*g, 55*i - 720 = 50*i + 5*g. Let d = -140 + i. Solve 4*o + 18 - 2 = d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 350\/(-3) + (-2 - 32\/(-12)). Let n = z + 164. Let b = -16 - -22. Calculate the greatest common divisor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.04, -1, -3, 2, 2.562?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 202 - 557 = 0. Calculate the least common multiple of c and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 116*n + 112.\nAnswer: 4*(n - 28)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3 + 64\/20). Let t be -2 + 11\/(55\/20). Let l be -1 + t + -33 + 34. Calculate the highest common factor of d and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - 368*b + 25*b**3 + 321*b - 23*b**3 + (b**2 - 5*b**2 + 6*b**2)*(2 - 2*b**2 - 2).\nAnswer: -7*b**4 + 2*b**3 - 47*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*v, 10*v + 2*v = 4*y + 11*v - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n = a - 6, -4*n + 104 = 4*a. Let w(j) = 2*j**2 - 44*j + 17. Let o be w(a). Let z(k) = k**2 - 7*k - 24. What are the prime factors of z(o)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 144337 and 44.07.\nAnswer: 144381.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, -9, 4 in ascending order.\nAnswer: -9, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 688 = -3*a, 0 = -a - 2*a + 12. Let w = -75 - p. Suppose -4*l - w = -5*l. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(2\/5)\/((y\/((y\/((y\/(y\/(y\/y**6)))\/y))\/y*y))\/((y*(y\/y**2)\/y)\/y))*y\/(y\/(y\/y**(4\/7)))*y**(-4\/7)*y**1\/y**8 assuming y is positive.\nAnswer: y**(-82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from xkkkvkxxxx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15563 + 2*u**2 + 2*u**3 + 15602 + 5*u**3 wrt u?\nAnswer: 21*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4326*b = -2776*b - 116250 for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = k + 3*h, -4*k + 2*h = k - 1194. Calculate the lowest common multiple of k and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -15 + 8 + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -5 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*4 + sqrt(136))*-5 + (-2*sqrt(136) - sqrt(136))*-4)\/(sqrt(8) + (sqrt(128)*3 - sqrt(128)) + sqrt(968) + sqrt(968)*1 + sqrt(968)).\nAnswer: -13*sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 743571.879 and -3.\nAnswer: 743568.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)*y)\/(y*y*y**(-2\/19)*y))\/(y\/y**(6\/17))**(3\/20) assuming y is positive.\nAnswer: y**(-32141\/19380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = -2. Suppose 5*t - 4*u - 4 = 0, -4*t + t = -4*u + k. Suppose -2*o**3 - o**3 - 3*o**t - o**5 + 83*o**2 - 84*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -37. Suppose -n - 1 = -2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 14*d + 2. Determine u(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**10\/1260 + c**6\/72 - c**3 + 1. Let k(l) be the third derivative of p(l). What is the third derivative of k(j) wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 - 577*s**2 - 58175*s + 7710625 = 0.\nAnswer: -325, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 3*k - 2*k + 6*k. Let i(r) be the third derivative of r**4\/6 + 2*r**2. Give i(t(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461380 (base 10) in base 3?\nAnswer: -2202020122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555586657 to the nearest integer?\nAnswer: 23571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111480 and 1485.\nAnswer: 11036520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31707 and 2418?\nAnswer: 1965834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 8*k = 3*k + 31, 0 = 3*j + 2*k - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2183928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7553192 millimeters in meters?\nAnswer: 0.0007553192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*d - 65 = 0, 20*n - 15*n + 2*d = 177. Calculate the remainder when 72 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/45))**(6\/35)\/((q\/q**(21\/4)*q)\/(((q\/(q\/(q\/(q*q**23))))\/q)\/q)) assuming q is positive.\nAnswer: q**(-45659\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:04 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14330628 and 21798?\nAnswer: 100314396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/36 - 164\/6. Let g = r - -59. Let q(a) = 3*a**3 + a**2 - 2*a + 1. Let s be q(1). Calculate the greatest common divisor of g and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -22, -13, -0.3, 8.3, -15, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -5 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2. Let b(n) = -27*n**2 + 524395*n + 166*n**2 - 524395*n. What is v(b(x))?\nAnswer: 77284*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by 22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 193180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*l + 80, -l = -2*l - 5. Suppose -4*w - 21 = 3*z, 4*w + w + 4*z = -25. Let o = w - s. Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15345 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - (-10 - 4062\/54). Is l >= 259\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1112*f**2 - 6. Let h(q) = -2*q**2. Give k(h(w)).\nAnswer: -4448*w**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178735.\nAnswer: 5, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -1.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 9465562*k + k**2 + 9465372*k.\nAnswer: 7*k**2 - 190*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - i = 2847, 614 = h - 2*i - 817. What is the common denominator of -15\/7 and h\/(-308) + (-1)\/(-4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 178*v + 5 + 231*v + 12 - 24 + 1.\nAnswer: 53*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -157543.\nAnswer: -157538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -22. Let p be ((-1)\/(-2))\/(-2 - 54\/d). Suppose 2439 = 5*x - z, 0*x + 5*z + 994 = p*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/17 or 0.26?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15587 and 38.828313277.\nAnswer: 38.672443277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**2 - 533*p - 1. Let i be z(41). Which is smaller: -7\/807 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 38314327.\nAnswer: 38314312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**22)**(-27) assuming z is positive.\nAnswer: z**567","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4578 + -4574. Let k = 2.032 - 0.032. What is the closest to -3 in 3, l, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297739769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435704 divided by -1.\nAnswer: -435704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-322)\/(-115))\/((-20)\/(-25)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-18))\/(-5)*-1*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -4*t**3\/3 + 1. What is p in y(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 12*d**2 - 10*d + 13. Determine x(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 40025?\nAnswer: 40025.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/15 - v**4\/24 - 2*v**3\/3 - 61*v**2 - v. Determine y(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 7 + -1 + -8 - -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.007 (c) -27 (d) -2\/11 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 - n - 1. Let a be f(-1). Let x(v) = v**2 + 4*v - 6. Let l be x(a). Suppose -l = -m + 9. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 423829563\nAnswer: -423829559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 127. What is the highest common divisor of 9099 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -23*q**2 - 77\/3*q**3 + 73 + 0*q. Find the second derivative of k(t) wrt t.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 141 - 1. Suppose -45 = -4*b + 2*s + 99, 4*s = 4*b - t. Suppose z - 89 = -3*n - n, -b = -2*n + z. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**3 + 7*f**3 + 5*f**5 + (-124 - 22*f + 124)*(7*f**4 - 12*f**4 - 19*f**4).\nAnswer: 533*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(720) + 2*sqrt(720) + 1 - (-5 + -3 + sqrt(720) + -1))*-6)**2.\nAnswer: 165888*sqrt(5) + 1679616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 77*v + 8. Let m(y) = 2*y**2 - 154*y + 14. Determine 5*b(i) - 3*m(i).\nAnswer: -i**2 + 77*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*(-87)\/29)\/(6\/(-22)). Let d(p) = -5*p + 51. Determine d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/3 + (-19)\/(-57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (238\/(-14399))\/(((-720)\/297)\/20).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 10*j**2 - j + 34. Let r be o(4). What are the prime factors of 2472*(4 - r\/(-18))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*a - 5*t, -1 = 2*a - 3*t - 39. Calculate the highest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from vhmbhhhvhiibrhb.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 7. Let o = -149 - -143. Calculate a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 t, and 1 i when four letters picked without replacement from {b: 1, i: 2, w: 5, s: 6, z: 3, t: 2}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**3 - 2*j**2 - 418*j.\nAnswer: 108*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 1. Let u be v(-3). Suppose 2*z - u = z. Suppose 2*q - 35 = -3*q - 5*k, 3*q + 4*k - z = 0. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.2742 centuries in decades?\nAnswer: 2192.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10*3*(-7)\/(315\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 713295 and -79?\nAnswer: 713374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-37 - (9 + -128))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 20 = -626*y + 628*y, 3*w + 20 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.113 + -1471.887. Let u = x + 1374.9. Let m = 97 + u. What is the closest to m in 0.1, -0.4, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 503 = -3*r, -4*r + 98 = b - 2*r. Suppose 0 = 4*s + 408 - b. What is the tens digit of (-3)\/(-7) - 3047\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/299292 and 83\/1029?\nAnswer: 2095044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v + 84. Let l = 29 + v. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 + 17*y - 2. Let j be x(-3). Suppose -21 = 11*m + j. Put -5, m, -1 in descending order.\nAnswer: -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 5*j + 20 = 0. Suppose -4*z + 293 = j*k, -2*z + 139 = -4*k - k. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662081113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 + 328*q + 8 - 328*q = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005186831 rounded to six decimal places?\nAnswer: -0.005187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 6 (b) -5 (c) -3 (d) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 5 - 4*k - 2*k)*(188*k + 8*k**2 - 188*k).\nAnswer: 8*k**3 + 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 4. Does 40 divide o\/(636\/(-320) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**2. Let m(k) = 330*k - 3. Determine m(g(v)).\nAnswer: 4620*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 15 = o, 0 = 4*n + 2*o - 58. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691*a - 693*a = 2*x + 18, 1 = -5*x - a. Factor 4\/21 - 2\/7*o + 2\/21*o**x.\nAnswer: 2*(o - 2)*(o - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 42111491419 and 0.07.\nAnswer: 42111491419.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171.882 + -0.382. Round f to the nearest integer.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z - 2*z + 0*z - 2 - 5*z + z**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.98 + 20. Which is the closest to j? (a) -1 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 + 882*y - 882*y + 43*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/5 (b) 3 (c) -1\/50 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 40 = 6*n. Let d be (n\/(-54))\/(7\/28). Which is bigger: -4.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 43. Suppose c*l = 5*l - 10. Suppose 0 = k + 4*x - 152, -k = -l*x + 4*x - 177. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - z + 2*z)*(0 + 0 - 2) + 2 - 4 + 0 - 38*z as t*z + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/175)\/((-32)\/112).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(1216\/(-513))\/(-32)*-3.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:32 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 11:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2 + 14*c - 8. Let g(u) = -u. Let o(v) = -10*g(v) - j(v). Factor o(s).\nAnswer: -4*(s + 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + (-2 - -6 - (41 - 47)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8932050, -8932051, -8932052?\nAnswer: -8932053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 27679829 + 27679824 - 83039487 + 27679834.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09946 + 3.82946. Which is smaller: n or 22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104034?\nAnswer: 2, 3, 7, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = -4*i. Let b(t) = -t**2 + 23*t - 62. Let f be b(20). Is f smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = -7. Is 3\/14 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:48 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 3360930333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3393 less than -10180\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16, -3, -0.002773, -2?\nAnswer: -0.002773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3641 and -40058\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 28877086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 27*h**2 - 2*h. Let g be (-156)\/(-9)*18\/24. Let u(s) = -13*s**2 + s. What is g*u(t) + 6*w(t)?\nAnswer: -7*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-8) + 0 + 6\/(-4). Suppose 3*q - p + 32 = 0, q + 2*p + 15 = -m*p. Let o(j) = -18*j - 16. What is the hundreds digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5))\/s**(-3\/5))\/(s*s**2*s*s\/(s*s**5*s))*(s*(s\/(s\/s**(1\/3)))\/s)**32\/((s\/s**(-3))\/s*s\/s**3) assuming s is positive.\nAnswer: s**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 12, a: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = k - 11, x - 4*x = 4*k - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10909793, 10909794, 10909795?\n\"Answer: x + 10909792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.41 + -0.8143416.\nAnswer: -10.2243416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29507.\nAnswer: 19, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/(r**(-1\/17)*r))\/(r*r**(-2\/7)*r)**42 assuming r is positive.\nAnswer: r**(-1121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 14.8. Suppose -5*p + 6 = -2*r + 1, -3*r = 5*p - 5. Let a = -0.07 + -0.93. What is the closest to p in a, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7342962 and 781?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4774875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -2\/11 (c) -4 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.9 and 4.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207.3 in -0.9, 2\/7, 814?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - -e0?\nAnswer: f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**10\/15120 + x**9\/3780 - x**8\/3360 + x**4\/4 - 2*x. Let w(l) be the third derivative of z(l). Factor w(i).\nAnswer: -2*i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*b - 8 - 100 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkkk when four letters picked without replacement from {k: 5, h: 3, m: 1, g: 11}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242 + -5?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10095884 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2156 by -7955.\nAnswer: -2156\/7955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*j + 88, -3*j + 5 = 17. What is the highest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0 + 1)*-4. What is the third derivative of -3*k**2 + r*k**2 - 3*k**2 - 2*k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143944.6233 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgppllnnggpppgppflfs. Give prob of picking 2 p, 1 n, and 1 f.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6662.\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Let a(d) = -1. Let r(n) = n - 2. Let b(s) = 2*a(s) - r(s). Let x(q) = 4*b(q) + h(q). Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:22 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*i + 12 = 0, -5*l + 2*i = -i + 21. Suppose -5*a + 32 = -a. Suppose 3*g = g + a. Sort g, 3, l.\nAnswer: l, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 6. Let j(z) = -3*z**2 - 36*z - 28. Let m be j(-11). Give k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.054 + -2.054. Let y = 2 + -1.9. Which is the closest to -2? (a) y (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525*n = -522*n - 411. Suppose 15*o - n - 28 = 0. Calculate the remainder when 50 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 105*t - 1470. Calculate s(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0, 2, 1\/15 in decreasing order.\nAnswer: 2, 3\/8, 1\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) 252 (c) -3 (d) 0.15 (e) -2 (f) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 90 = -10*k + q, 24*k = 16*k + 13*k - q + 40 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004842 rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 221.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**(-2\/21)\/((a**5*a*a)\/a)**(-13\/5) assuming a is positive.\nAnswer: a**(1688\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 46, 71, 96, 121?\n\"Answer: 25*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382 - -581. Let h = 345 - t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:48 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -235\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25))\/(9\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - z + 7. Let w be a(-6). Let y(p) = -6*p**3 + 14 + 8*p**3 - 14*p**2 - p**3 + 18*p + 0. Is y(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 33390 = -2*k, 15*f - 13*f = 12. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 11*p - 6. Let m be q(10). Solve 4*g - 14 = 2*c, m*c + c - 5*g = -20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*h + 2*h - 104, -n = 4*h - 28. Suppose 3*m = 26 - n. Suppose -5*u - m = x - 30, -2*x + 26 = 4*u. Solve p = -6 + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 105 = 14*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17775450 divided by 35910\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451976 and 49931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989043381.\nAnswer: 3, 5113, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(2*sqrt(4)))**2 + (sqrt(468) + sqrt(468) + (sqrt(468) + -2)**2 + sqrt(468) - sqrt(13)).\nAnswer: -7*sqrt(13) + 1901\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.273547mg?\nAnswer: 0.000007273547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjwf. What is prob of picking 1 j and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24842, 99152, 223006, 396404, 619346?\n\"Answer: 24772*k**2 - 6*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/(6\/(-30)). Suppose -4*g - 45 = -5*i, -5*i + 45 = -i - f*g. Let t be (-2 - -2)*-1 - -2. Solve -t*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from ejuuujsseked?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.7138 nanometers in micrometers?\nAnswer: 0.0377138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2168614 and -31\/43930?\nAnswer: 249390610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + 6*u + 5. Let s = 252 + -253. Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295303.47 minutes in hours?\nAnswer: 4921.7245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 3. Let p be t(6). Let b = 63 + p. Suppose 15*k = 100 + 50. Calculate the remainder when b is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 91*b)*(-3 - 9 + 7)*(-1 - 5 + 0).\nAnswer: 2730*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06341 - 8736533?\nAnswer: -8736533.06341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 15) to base 4.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1814760*j**3*n - 17*j**3 - 23*j**2 - 2*j*n**3 + 814*j wrt n.\nAnswer: 1814760*j**3 - 6*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104)*2 - (sqrt(104) + (sqrt(104) - -1*sqrt(104)))*1)\/(5*(sqrt(1152) - -1*sqrt(1152))))**2.\nAnswer: 13\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m**2 - m + 27. Let y be q(0). Suppose -d = 40 - 5. Let f = 332 + d. What is the highest common divisor of y and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, -2 in descending order.\nAnswer: 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24412 is divided by 199?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531947200 - 5*f**3 - 531947200 + 16*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/96?\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*c = 9, -159*g + 4*c = -157*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Let g = -3 - p. Let s = 0 + 5. Which is the closest to -1? (a) 1\/2 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271 + 19916121.\nAnswer: 19915850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7296 + 21107?\nAnswer: 28403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 9*k**3 - 19)*(4*k + 3*k - 6*k).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 45, -58, 2, -4.\nAnswer: -58, -4, -1, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17*a. Let f(t) = 28282*t**2. What is f(s(h))?\nAnswer: 8173498*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkkkkrrroorr. What is prob of sequence rr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 3a?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l = -5*q + 890, -15*q - 24 = -16*q - 3*l for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 23751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -521856 divided by -4832\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5\/7 + 40*n**4\/7 - 4148*n**3\/7 + 4104*n**2\/7 = 0. Calculate n.\nAnswer: -38, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - (2 + -1)) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.38740347 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358 - 149. What is the highest common divisor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -93*c**2 + 1953*c + 9. Let d be m(21). Is d less than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 7353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23133899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284945*m - 11270 = -1284847*m for m.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let f(y) = -1. Let r(i) = -5*f(i) - w(i). Let u be r(1). What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 6*f + 2. Let w be 9636\/(-60) + (-4)\/10. Let s = w + 168. Calculate g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - 2*j - 2. Suppose 8*n - 892 - 1188 = 0. Let o = n + -262. What is k(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + -3 + 0\/3. Solve -f - 3 = -2*k, -3*f + l + 7 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177782474*f**2 + f - 21896203?\nAnswer: 355564948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/f**(-1))\/(f*f\/(f*f*f**1))**(-2\/13) assuming f is positive.\nAnswer: f**(31\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 716820427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2870 divided by 35\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4407081032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8928 and 1891?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 10*h. Suppose 7 = -4*t - 13. Let q(y) = y**2 + 9*y + 1. Let f(j) = t*q(j) - 4*d(j). Suppose 5*k - 2*k = -12. Calculate f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 67 = 4*c. Suppose 4*s - 3*n = -0*s + 293, 4*n = -c. Let p = s - 36. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - (-5 - -6)) - (52 + -54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12856 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.03, 5.6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -4, -1\/9, 48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 992826*o**2 + 1667*o + 534 wrt o?\nAnswer: 1985652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79384 is divided by 6106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 - 5*j - 9. Let u be f(-7). Let x = 32 + u. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 14*o**2 + 2*o + 23. Let c be n(-14). Let g be (-4)\/c*(-60)\/(-24). Solve 0 = -g*p + 7*p + u + 19, -2*u - 2 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -483, 0, 2, -4, -1.\nAnswer: -483, -4, -1, 0, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51566668414 and -0.074?\nAnswer: 51566668414.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -77. Let u = -24 - q. Suppose 0*k - u*c = -3*k + 146, -4*k - 2*c + 190 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*j - 6917 = -143 + 4512 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 341.7905mm?\nAnswer: 0.0003417905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 45, 70, 89, 96, 85, 50?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-1258))\/((-12)\/(-4) - 13). Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/130 - 2*t**4\/39 + 5*t**3\/39 - 2*t**2\/13 + 88*t. Factor k(d).\nAnswer: 2*(d - 2)*(d - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 483.0115 - 483. Let n = -11 - -11.02. Let z = y - n. What is z rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + t)*(0*t - t + 0*t) + 12*t**2 + 5*t**2 - 6*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*0.5869.\nAnswer: 0.170201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a*a**5)\/a*a*a))\/(a*a**(-5)))\/(a**0\/a)**(-20))\/(a*a*a*a**(-3\/7)*a*a*a*(a\/(a\/a**(-2\/5)))\/a)**31 assuming a is positive.\nAnswer: a**(-5331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/5 (b) -3 (c) 64\/3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0 = -5*j - 20, -2*k + 401 = -33*j + 269 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 3*c**2 - c + 1. Let z(g) = 3*g**3 - 4*g**2 + g - 2. Let p be 3*9\/(-9 - -18). Give p*z(q) + 4*f(q).\nAnswer: q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -19, 5.\nAnswer: -19, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40650.87 kilometers in millimeters?\nAnswer: 40650870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-114)\/(-20))*(-6)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1305\/(-348))\/((-4)\/(-8)*(-3)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 392 + 333 - 83 - 103)*(2*r**3 + 3 - 3).\nAnswer: 1162*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8157*k**2 - 5237*k**2 - 2917*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r + 825 = 158*r - 74*r. Suppose 6 - 36 = -5*k. Calculate the smallest common multiple of k and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 552982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i - x, 0 = -2*i - 2*x + x + 1. What is the tens digit of (-10)\/((-1)\/3*i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44))**2 + sqrt(55)\/sqrt(5) + 2.\nAnswer: sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252\/26 + (-8)\/52?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7429.799 hours?\nAnswer: 26747276.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 9799.2.\nAnswer: 9798.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -339*b - 29. List the prime factors of f(-7).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*v + 25 = 0, z = 3*v - 1 - 14. Put z, -4, 5, 25 in ascending order.\nAnswer: -4, z, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 1, x: 1}. What is prob of picking 1 x and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17746*k + 2*k**4 + 17756*k - 35*k**4 + 0*k**4 + k**4 - 3*k**4 + 2*k**4 + 0*k**4 - k**4 + (-5*k + 3*k + 0*k)*(3*k**2 - 3*k**2 + 2*k**3).\nAnswer: -38*k**4 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x - 62 + 46*x + x**2 + 35 - 1. Let q be j(-30). Solve 25 = -3*y - q*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:24 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 585*z. Let a(w) be the first derivative of 2*w**3\/3 - 453. Determine a(r(f)).\nAnswer: 684450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -253225223.2 from -0.458.\nAnswer: 253225222.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 181482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose z*w = -12 + 129. Suppose -86 = -5*s + w. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/44*(-4 - 0). Let k be -4*1\/(-3 - 1). Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/7 - 20*o**3\/7 - 109*o**2\/7 - 18*o\/7 + 648\/7.\nAnswer: -(o - 2)*(o + 4)*(o + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 + 4*p - 3. What are the prime factors of v(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*t - 31*t + 201220 + 255204 = 0. Is t a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -45, 171310?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476869 (base 10) to base 5.\nAnswer: -110224434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/6 + x**3\/6 - 7*x. Let j be h(2). Does 13 divide (-3)\/j*58 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1173*s - 33. Suppose o + 2*h - 3 = 0, -13*o = -16*o - 5*h + 8. Does 57 divide w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041.287l in millilitres?\nAnswer: 6041287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -367. Let h = d - -176. Solve -18*r + h = -19*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/2))\/b*b*b\/b**8*(b*b*b**10)\/((b\/((b*b**(-7\/5))\/b))\/b) assuming b is positive.\nAnswer: b**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7)*y)\/(y\/(y\/((y*y**3*y)\/y))) assuming y is positive.\nAnswer: y**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 + 6291590*c + 22663615 wrt c.\nAnswer: 3*c**2 + 6291590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -34*m + 836. Let y(b) = 14*b - 418. Calculate 2*l(h) + 5*y(h).\nAnswer: 2*h - 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -26*l - 2 + 11*l - 20*l - 6*l. Let r be v(1). Is 8 a factor of (-6 - r) + (2 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 divided by -255?\nAnswer: 411\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*i + 8, 4 - 2 = i - 4*p. Suppose -v + 0 = -i. Let n = 12 + -10. Is v greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:12 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2 + 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 43\/21, -1\/58, -1\/5.\nAnswer: -35, -1\/5, -1\/58, 43\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33291.14 + -33701. What is o rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*h - 34*h - 2*h to the form g*h + j and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6922.4 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 26, 5, -34, -97?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 965.1 + 159.\nAnswer: 1124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69787 + -69767. Calculate the remainder when -21*-1*(-1 - -2) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54541\/(-10) - 1) + 0. Let j = -1842 - -7306. Let k = j + b. Find the common denominator of 74\/9 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 50*a = -23*a + 120 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 + 3 = -2*k, -k + 3*s + 3 = 0. Let x(g) be the second derivative of -1\/20*g**5 - 4*g**2 - 2*g**3 + k - 1\/2*g**4 - g. Solve x(w) = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) -1\/9 (c) 26 (d) -0.06 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 29*r - 91. What is l(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -6.805381?\nAnswer: 353.879812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q + 501. What is h(27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(8\/10)\/(30\/575). Let h = o - -170. Let y(m) = 40 - h - 2*m**2 + 38. Let z(p) = -2*p. What is y(z(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710240 by 115.\nAnswer: 6176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11000010011?\nAnswer: 11000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8))**(-13\/6)\/(x\/(x*x**(19\/3))*x**(-10\/7)))**27 assuming x is positive.\nAnswer: x**(4743\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 45 + 175. Let i be 12\/(-78) + (-56)\/t. Solve -3*h + 20 = i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 12051514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j + 4*z, -5 = 4*j - 2*z - 29. Solve j*i + 2*h + 18 = 6*i, -5*i = -3*h - 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1393 + -65475\/5572. What is the common denominator of l and 53\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013947 to six decimal places.\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, 90 in increasing order.\nAnswer: -3, 1, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 240?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171*(-5)\/700 - (34 - (-705)\/(-20)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22564, 49476, 76386, 103294, 130200, 157104?\n\"Answer: -s**2 + 26915*s - 4350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 2*f**2 - 6*f + 5. Let b be i(4). Let q = b + -1029\/5. What is the closest to 0.1 in q, 5, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24032 (base 5) in base 10?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, z: 9, x: 1}. What is prob of picking 1 x and 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.047 - -73.953. Let i = 76.24 - f. Let k = i + -31.14. Round k to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702269891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/60 + 4*m**4\/3 - 15*m**3 - 1088*m**2. Calculate v(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -261. Let t = -33 - r. Let f be t\/(-16) - 6\/4. Solve -4*d - 4 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16060 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 4. Let j be o(-4). Suppose n - 3*k + 5 = 0, j = -2*n - 2*n + 2*k + 30. Suppose 0 = -3*v - 0*b + 5*b - n, v - b = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311887 is divided by 163.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 1 - 1)*(-3*u + 6*u - 4*u) + (-6*u + u + u)*(1180*u - 8130*u - 1123 + 1123) to f*u + m*u**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862517472.\nAnswer: 2, 421, 138251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 8. Let f be u(9). Let o = f + 18. Suppose -2*s + o = -2. Which is the biggest value? (a) 2 (b) s (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2618 and 429660.\nAnswer: 7304220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let d = 13\/5 + -3. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*p - 2779, 23*l + 5*p + 1397 = 25*l. Does 103 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 + 8*p + 2. Let x be r(8). Solve 0 = -3*u + x*h + 14, 0*u + 5*h = 3*u - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d + 1. Let b be (6\/(-5))\/(14\/(-210)). Suppose 1 = 5*r - q + b, 4*r - q = -14. What is the smallest common multiple of o(r) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 - 12*r - 20. Give d(13).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -3 (c) -274577 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*n + 107*n = 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 327 - -13860361562\nAnswer: 13860361889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -94ac4 (base 13) to base 8\nAnswer: -1012647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 898, 1612, 2326?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from idxffifdxxxfxixwfyd?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26257*j - 11*j**2 - 26257*j.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -4074 and -129469082312.\nAnswer: -129469086386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-540)\/12204*1\/(-5). Put z, -1, -0.1 in increasing order.\nAnswer: -1, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and 4.9605131.\nAnswer: -10.0394869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315596 and 26214?\nAnswer: 16095396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.51 - 0.41. Which is the nearest to -2\/5? (a) 3 (b) 0.07 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*d*l*r + 21*d + l*r - 41*r wrt d.\nAnswer: 49*l*r + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015059140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 58, 104, 178, 286, 434?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96954.5 + 96955. Let t = -260\/3 - -86. Which is the nearest to t? (a) 5 (b) 2\/11 (c) k (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w - 90. Let l be (-48)\/w*(-15)\/(-6). Let u(b) = -b**3 + 4*b**2 - b + 2. Determine u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10712 and 2907896?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*((sqrt(120)\/sqrt(4)*-2)\/sqrt(5))\/(sqrt(36)\/sqrt(432)*-4))**2.\nAnswer: -30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -151, -1, 2, 34, -3.\nAnswer: -151, -3, -1, -2\/9, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -70*c - 3. Let g be j(-10). Suppose 0 = 11*d - g - 777. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-33))\/2*234\/(-312).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + 0 + sqrt(19) + sqrt(19) + (4 + 2*sqrt(19))**2 - (-6*sqrt(95)\/(sqrt(125) + sqrt(5)))**2).\nAnswer: -108*sqrt(19) - 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-72)*27\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 573 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334\/5 + -67. What is the nearest to 0.1 in -0.5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c - 46*c + 35*c in the form f + z*c and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose -3*b + 4*k - q*k - 15 = 0, 5 = -b - k. Let a = b - -6. Solve 3*v - 2*c + a = 0, c - 3 = -3*v + 4*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doooddxoxxxxx. Give prob of sequence xxd.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/2)*32. Suppose -2*w + t = -w. Solve 0 = -4*u + 5*p + w, 1 - 4 = -5*u - 3*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144685640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - a2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5578050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and -193.52.\nAnswer: -12578.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6691512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 25866?\nAnswer: -25868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -261.87 times -3.1\nAnswer: 811.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1230374227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 25*x + 5 - 683*x + 10 to v + g*x and give g.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8382)\/99)\/(2\/(-477)). Suppose 0 = -39*f + 36*f + p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43027497.\nAnswer: 3, 229, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/60 + k**4\/24 - k**3\/6 + 2*k**2 + 32*k - 219. Let l(r) = 3 - 2 - 2 - r**2 + 2*r. What is 4*c(s) - 3*l(s)?\nAnswer: -s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 + 7*o**2 + 18*o + 10. Let x be m(-5). Calculate the highest common factor of 288 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1772162 - -4?\nAnswer: 1772166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -132?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + (2 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(72)*2 - (sqrt(72) - (-2*(2*sqrt(72) - sqrt(72)) + sqrt(72))))*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13552 and 17864?\nAnswer: 393008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07424 to three decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/17 and -21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 279?\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 308777429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:05 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/6 - 5*h**3\/3 - 5*h**2\/2 + 25*h. Let b be m(-4). Suppose 5*p = i + 11 + 3, 3*i - b*p = 6. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9071 or -9065?\nAnswer: -9065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3999241869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 934174\/9, 0?\nAnswer: 934174\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + 3 - -3) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1 + -11)\/(33\/(-22)). What is the units digit of 80\/(((-2)\/a)\/(35\/(-42)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -274\/17 (b) -7 (c) -1.6 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65202?\nAnswer: 2, 3, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f - 6. Let m(y) = 34*y**2 + 1 - 3*y + 4 - 2*y - 35*y**2. Let o(n) = -18*n + 113. Let b be o(6). Give b*c(z) + 6*m(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:57 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -2 + 7 + (1373 - 1272).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362288269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p**2 - 4*p + 4. Let x = -14 + 8. Let g be c(x). Let d = g - -441. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3856621356 to 4 decimal places.\nAnswer: -1.3857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*k - 108*k - 22*k - 80*k in the form j*k + l and give j.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = q + 2*q + 249, -59 = -p + 4*q. Suppose 74*x - p*x - 6941 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 4*g)*(-1 - 1 + 0)*(-3 + 51 + 4)*(-g + 3 - 3 + (1 - 4 + 4)*(-6*g - 2*g + 3*g))*(4 - 4 - 1).\nAnswer: 1248*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17660 - 11929. What are the prime factors of h?\nAnswer: 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1050 - -6?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343075861 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, b: 9, x: 2, y: 2}. Give prob of sequence yy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5)*90\/36)\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 3*q + 4*q - 3*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-6*k**2 + 12*k**2 - 2*k**2) + 2 - 2 + 2*k**2 + 15*k**2 + 30*k**2 + 14*k**2 as l + n*k**2 + a*k and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50664897*r**3 + 50664906*r**3 - 151994711*r**3 + 50664909*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-540))\/((-3)\/(6\/4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 27, 1, 0.3, -0.3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 345, -40, -8 in increasing order.\nAnswer: -40, -8, -0.2, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*h = -0*h - 2*q - 24 - 14, 3*h - 19*q + 1045 = -74*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*t + 562 = -827, 0 = 2*a + t - 921. Suppose -4*r - 3*f = -2*r - 117, -5*r - f = -260. Calculate the greatest common divisor of a and r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**8\/13440 + p**7\/2240 - p**5\/240 - 19*p**3\/2 + 15*p**2 + 2. Let a(m) be the first derivative of v(m). Solve a(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {j: 4, c: 1, b: 5, r: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:16 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 2. Let o(w) = -2*w - 4. Suppose 0 = -b + 4. Suppose 4*t - 2*v + 2 = 0, 0 = b*t - 3*t - v + 1. Suppose -c + t*c = 11. Calculate c*p(j) - 6*o(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c4 - 3?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6582760\/13 - -506682. Let v = 1970 + -1654. Let s = f - v. Is s smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, r: 1, q: 2, u: 2, h: 1}. What is prob of picking 1 u, 1 c, and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = -9*h + 1532. Let l = h + -63. What is the highest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + -199. Which is the closest to -0.6? (a) y (b) -0.01 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/2 (c) 3 (d) 24 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 408*t**3 + 53971*t**2 + 54378*t.\nAnswer: -t*(t - 106)*(t + 1)*(t + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 38 + -7 - (26 + -8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ita when three letters picked without replacement from {t: 1, i: 4, a: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20078824 and 12524.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i + 8*i - 7*i + 55*i**2.\nAnswer: 55*i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*i - 50 - 197 = 140*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 21120101011?\nAnswer: 21120101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 300 = -0*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/19))*(k*k**8*k)\/k*k*((k\/k**(-1\/4)*k)\/k)\/k*(((k**(-6)\/k)\/k)\/k)\/k)**39 assuming k is positive.\nAnswer: k**(585\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 2. Let c(b) = -6*b - 4. Suppose 0 = 7*g - 9*g + 32. Calculate the smallest common multiple of c(x) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3377 divided by 13?\nAnswer: -3377\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -60*y + 15*y + 19*y + 9*y + 13*y. Let k(h) = -2*h - 11. Determine k(w(n)).\nAnswer: 8*n - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let s(x) = -1. Let t(a) = -9*a - 45. Let i(f) = -36*s(f) + t(f). Let o(w) = 117 + 115 - 231. Let b(d) = i(d) + 9*o(d). Give b(z(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 182, 180, 178, 176, 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - -27. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 + 2*y - 2. Let n be o(-5). Suppose -n*x + 7*x**4 - 39*x**3 + 13*x**3 + 5*x + 24*x**2 - 2*x**5 + 5*x**4 = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.95 minus 497.3?\nAnswer: -939.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246.999 - 0.001. Let v = 2235 + -1889.4. Let b = v + s. What is b rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*s + 24*s + 11*s - 2760 = -12*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -262*y**4 + 121*y**2 wrt y?\nAnswer: -6288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1624 - 1379 = -7*m. Let g = m + -18. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 + 3*w - 4. Let v be x(-3). Suppose -b - v*f = 57000, -15052 = -3*b - 5*f - 186052. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 9765f?\nAnswer: 9765a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 2*q + 2. Let f be (0 - -1)*-6*(-35)\/30. What are the prime factors of u(f)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33497 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4664552 is divided by 195.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 89, 203, 363?\n\"Answer: 23*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 215 = -4*q + 5*q, -4*q + 364 = -5*b. Let u = b + 102. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(102) - (sqrt(102) - sqrt(102)*1)) - sqrt(102)) + sqrt(102) + (sqrt(102)*-2 - sqrt(102))*2)*-4)\/(5*-2*sqrt(6)*2*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -w. Let l = 8.2 + -29.6. Let n = l + 22.4. Sort n, w, -5 in increasing order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 851? (a) 1\/3 (b) -2 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9696 - -38813\/4. What is the common denominator of 1\/910 and m?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12184 - 0.3?\nAnswer: -0.42184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 37*o**2 + 8*o - 28. Let w be m(-6). Let n = w + -819. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 + 4*s**2 + s - 5. Let p(i) = 14*i**3 + 10*i**2 + i - 11. What is -5*m(v) + 2*p(v)?\nAnswer: -2*v**3 - 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l + 16*l - 58*l + 17*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6139 is divided by 208?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*g**3 - g**3 - 2*g**2 - 494*g + 495*g + g**2 - g**4 in the form l + f*g**2 + j*g + b*g**4 + q*g**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52015 and -1?\nAnswer: 52014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**2 - 5*l - 117*l**2 + 4*l.\nAnswer: -149*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3216*n + 96 = -18*z + 3215*n, -5*n - 15 = 10*z - 13*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*f**2 - 221*f**2 + 428*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 5. List the prime factors of o(-8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 13*m**3 - 56)*(m**2 - 195 - 192 + 383) + 0*m**5 + m**5 + m**5 + (-m**3 - m**3 + 3*m**3)*(2*m**2 - m**2 - 2*m**2).\nAnswer: 14*m**5 - 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1318 - 1318. Put 8, -9, n, -5 in ascending order.\nAnswer: -9, -5, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**3 - 2*n**2 - 2*n. Let t(l) = 175*l**3 + 45*l**2 + 45*l. Let u(a) = a**3 - 7*a**2 - 41*a + 65. Let d be u(10). Give d*r(y) - 2*t(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*((-25438)\/(-42))\/(-23).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115560405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1004\/110440*2\/((-2)\/2).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8664337 decades in centuries?\nAnswer: 0.08664337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*y - 49, 3*y - 5*y = 2*u - 14. Which is smaller: u or 99\/10?\nAnswer: 99\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133358003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + k + 0 + (5 - 5 + k)*(5 - 3 + 1) + 0*k + 5*k - 3*k)*(81 + 336 - 91) to p*k + c and give p.\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2571, 10707, 24285, 43305?\n\"Answer: 2721*c**2 - 27*c - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 2. Suppose -3*s + 3*l = 6, -3*s + 3*l + 14 = 4*l. Sort 4, m, s in descending order.\nAnswer: 4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*q = -3*k + 3, -5*k = 2*q - 3. Let t be (22 + 0)\/(3\/6). Is (13 - k)\/(33\/t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let a(b) = 594*b - 4. Determine t(a(o)).\nAnswer: -352836*o**2 + 4752*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 - 6*g**4 - 4*g**3 + 24*g**2 - 16*g = 0. What is g?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/(-2)) - 18\/(-65)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*7\/4*4\/(-7). Suppose -r - i*o - 2 - 1 = 0, -5*r = -2*o - 9. Sort -1, 3, r.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3 (c) 11 (d) -4\/9 (e) 0.1 (f) 19\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mej when three letters picked without replacement from mojea?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -15778a2?\nAnswer: -1577899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 5\/6, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + t + 80 - 6 = 0, -40*t + 0 = -38*t - 2 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 5. Let d be f(-4). Suppose 2*s - 27 - 48 = -5*l, -3*l = -d*s + 60. Solve -5*q - s = 0, 2*k + 20 + 11 = -5*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 60*q**2 - 3*q. Let i(v) = -60*v**2 + 2*v. Let a(r) = -3*i(r) - 2*l(r). Let x(b) be the third derivative of b**4\/12 + 246*b**2. Determine x(a(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2) - (-4 - (2 + -8)). Factor -126*u + 3*u**n - 937 + 1150 + 1110.\nAnswer: 3*(u - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32602 is divided by 216.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*n - 92, -5*o - n = -6*n - 130. What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975274?\nAnswer: 2, 7, 199, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -106.7. Let n = 1.5 - r. Let j = n - -10. What is the closest to -3 in -2\/5, j, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y + 2. Let n be j(-2). Suppose -5*f - 12 = -n*f. What is the common denominator of -121\/18 and 3\/(-108)*(-711)\/f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let x be 85 + -3 - c\/(-1). Suppose -5*a - 54 - 26 = -4*y, 5*a = -4*y + x. Solve -2*f + y = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/120*((-68)\/136)\/(3\/(-15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/90 + 5*x**4\/108 + 2*x**3\/27 - 42*x**2 - 6*x. Suppose b(o) = 0. What is o?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986\/(-4)*10\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 40.1. What is the biggest value in 2\/15, r, -0.4, 0.01?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220993*q**4 + 18*q + 4617 wrt q?\nAnswer: 2651916*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1873 - 0.1873. What is the second biggest value in 3, -2, 6\/5, l?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 980 - -76. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.2108789687 and -1.47.\nAnswer: 0.7408789687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 19 = -4*f. Suppose -f = 3*l - 45. Solve 2*w - 3*j + l = -3*w, -4*j = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 + 2354880*z**2 + 42388812*z + 190751112 = 0.\nAnswer: -9, 588738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/3 + 2219963*z\/3 - 2219966 = 0 for z.\nAnswer: -2219966, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by -4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/7742? (a) 0.4 (b) -3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 + -0.7. Let m = 4.9 - i. Let v = m - 0.2. Put 2\/7, v, -4 in increasing order.\nAnswer: -4, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9950.31 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21489\/650 - (-180)\/(-3000)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*m + 0*m + 5*m + 3*m**3 to a*m**3 + r + s*m**2 + j*m and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705562.\nAnswer: 2, 3, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 28, 29, 26, 19, 8, -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 317\/15 + ((-51)\/45 - -1). Solve y*a - 19*a = -16 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide ((1536\/(-20))\/(-4))\/((-2)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 345 - 3575 = 0. Let c = h - 151. Solve t - 14 = -c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (2 - 1))*-19. Let t = 2 + 3. Suppose t*l = b - 4. Sort l, 4, -5 in descending order.\nAnswer: 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 378796113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-39)\/((-9360)\/(-768))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/11 - 40428592*u**3\/11 - 204309002673546*u**2\/11 - 1225852884040940*u\/11 - 1634470080816400\/11 = 0 for u.\nAnswer: -10107145, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1848293, -1848286, -1848277, -1848266, -1848253, -1848238?\n\"Answer: w**2 + 4*w - 1848298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.22 times -0.9248?\nAnswer: -22.398656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/7 and 64\/455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**3\/3 - 8. Let y(w) = 8*w - 4 + 30 - 29. Determine i(y(k)).\nAnswer: 128*k**2 - 96*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 20*h**2 + 37*h - 12. Let w be o(18). What is the third derivative of 40*v**2 + 0*v - 8*v**w + 0*v - 3*v**2 wrt v?\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 219.\nAnswer: 25404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 2)**2*-5 - (sqrt(567) + -6*1*sqrt(567))) + -3*2*sqrt(567)*1 + 1.\nAnswer: -2854 - 189*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 2. Let f be n(-6). Suppose 0*q - f = -q. Solve -d - h - 4*h = -4, -q = -4*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.221333875 to three decimal places.\nAnswer: 0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*c + 3 = 19, -5*c = -5*h + 30. Suppose -v - h*v + 95 = 0. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-245 + 245 - 51*j)*(-3 + 0 + 4) in the form u*j + s and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-144)*-6*12. Is 233\/3 + -1 + u\/9 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {e: 11, n: 3, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 56. Let c = 86 + o. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 23 = -14*z + 22*z - 4*h, -77 = 3*z + 4*h for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f - f**2 - 5 - 7*f - f + 3*f. Suppose 0 = 4*b - 4 + 44. Calculate the remainder when 12 is divided by d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/25 - f**4\/15 - 68*f**3\/15 - 112*f**2\/5 - 21*f + 28. Factor v(c).\nAnswer: 4*(c - 7)*(c + 2)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 + 0*z**2 + 0*z**2 + 3*z**2. Let d(a) = 160*a. What is d(b(f))?\nAnswer: -160*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 2*b - 15 = 71*f - 161*f, 4*b - 9 = f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose -5*j - 55 = -a*y - 10, 0 = 4*j + 20. Let p(x) = 3*x + 3*x - y*x. Let m(o) = o. Give m(p(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 79. Suppose o + 5*k - q*k = 5, o - 25 = -5*k. Suppose o = 13*m - 7*m - 864. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 104 + -41 + -73?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h - 2*h)*(13*h + 1 + 0*h - 6) as c*h + n + u*h**2 and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 - 198. What is the nearest to 4 in -5, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2 - (-5 - 1). Suppose 0 = -g + 2*g + 8. Let s = g - -28. What is the highest common factor of s and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -345.1.\nAnswer: -690.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*u**5 + 112*u**2 + 97*u - 156 wrt u.\nAnswer: -4940*u**3 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndh when three letters picked without replacement from dndggggghbggng?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3\/2 (c) 1005 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (11 + (-110)\/11)*(588 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33644138 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 4*c**2 + c + 3*c**2. Let u(j) be the second derivative of 49*j**4\/6 - 7*j + 45. What is m(u(t))?\nAnswer: -9604*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0*i**2 - 1\/40*i**6 - 16*i - 5\/16*i**4 - 1\/4*i**3 + 0 - 3\/20*i**5. Factor n(y).\nAnswer: -3*y*(y + 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1696379 times -0.2\nAnswer: 339275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53032597 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u**2)\/(((u*(u\/(u\/(u**7*u))*u*u)\/u*u)\/u)\/u*u**(2\/25)) assuming u is positive.\nAnswer: u**(-162\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w - 71. Let z be h(8). Solve -6*y + z = 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2 - 81832*i - 491064 = 0.\nAnswer: -6, 40922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a**3 - a)*(-3*a - a + 2*a) + a**3 - a**3 - 2*a**4 + 27*a**4 + 0*a**4 + 50*a**4 in the form k + z*a + i*a**4 + l*a**3 + p*a**2 and give i.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411 is divided by 181.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (5 + 13 + -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -632, -5, 9, 43 in descending order.\nAnswer: 43, 9, 3, -5, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**3 + y**2. Calculate i(3).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8. Sort j, 1, -7 in descending order.\nAnswer: 1, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 equal to -0.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y. Let u be i(-3). Let b = 3 + u. Suppose b*o - 12 = -0*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101100000 (base 2) to base 3.\nAnswer: 101022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3796\/10439*22\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -119. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572472833.\nAnswer: 709, 719, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u + 84*u = -48. Suppose 2*f = -2*f. Let r be 2\/(-3)*-6 - f. Solve 5*i = -2*n + 4, -2 = 3*n - r*i - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620365.\nAnswer: 5, 324073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27395?\nAnswer: 5, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 63*z - 18. Give h(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57780 and 55?\nAnswer: 635580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7975 = -3*g - 4*z, 4*g - 10630 = z - 3*z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02019571 to 4 dps.\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 41*c**2 + 38*c. Let u(d) = -12*d**2 - 13*d. What is 3*p(i) + 8*u(i)?\nAnswer: 27*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/39378433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + c + 139 = 0, -c + 38 = u - 3*c. Suppose -16 - u = -4*y. Let p(q) = -2*q - 8. What is the remainder when y is divided by p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/6 + 3*l. Let d(v) = -47 + 15*v**2 - 61 - 10*v**2 + 108. Determine d(i(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 4*x - 36. Is 15 a factor of f(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 - 1\/3*g**3 + 0*g**2 - 13*g. Let p(k) = 5*k. What is p(t(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1625)\/(-50)*18*(18\/(-6))\/45\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4410265ms in minutes?\nAnswer: 0.000040683775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1064*f**3 + 7*f**2 - 6*f + 8. Let n be q(2). Let a be n\/(-679)*(0 - 7). What is the highest common divisor of 44 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 12. Suppose 377*k - 466 - 1419 = 0. Put 1, k, -4, v in descending order.\nAnswer: k, v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 6*s - 9. Let y(a) = 3*a**2 + 11*a - 18. Let q(m) = 5*j(m) - 2*y(m). Let l = 35 - 28. What is q(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7955.81 rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 775 + -976.2. Let p = -201 - u. Let b = 1094\/7 + -156. What is the third biggest value in p, 1\/4, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2760\/1012*1*(-4)\/8*2.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031 (base 16) in base 11?\nAnswer: 48397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**5\/30 - 13*f**4\/24 + 5*f**3\/2 + 35*f**2. Let z be a(-7). Solve 5*o = -4*q + 18, -4*q = 2*o - 4 - z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z. Let n(b) = -2*b. Let g(r) = r. Let c(x) = 28*g(x) - 4*n(x). What is c(d(j))?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + 816. Let v = 2095 - q. What are the prime factors of v?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, w: 2}. Give prob of sequence wwq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from {p: 3, r: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53339, 106754, 160169, 213584, 266999?\nAnswer: 320414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, -2\/3, 2526, -2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6068991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 9*f = 4*f - 25, 5*i + 4*f = -20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiffif. Give prob of sequence fiff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/3 - 3*o**2 + 5*o + 51. What is h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362250?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*5 + 5 + sqrt(12) + 2)**2 + -3.\nAnswer: 98*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40236278*n = 40236359*n - 729 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 11, x: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/7 (b) -55114.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*k + 156*k + 80973 = 0. Suppose -5*t - 4*m = -14995, -2*t - 4*m = -5*t + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from mhshmmshshmshmmhh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4 + 4*d**2 - 2 - 4*d**2 - 2*d**2. Let n(b) = -4*b**2 - b + 5. Let u(h) = -2*n(h) + 5*w(h). Solve u(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/15 + 935*f**4\/4 - 3952*f**2 - 1576*f. What is the derivative of t(c) wrt c?\nAnswer: -8*c**3 + 5610*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 - 2\/(-9). Let j = -3 - -19. Let y = x + j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/40 + 55*r**4\/24 + 261*r**3\/4 + 729*r**2\/4 - 17*r + 1. Find w, given that h(w) = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose -4*u + 3*c - 17 = -w*u, 3*c - 6 = 0. Let z = u + 18. Solve -4*g = -z*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -222532.\nAnswer: 11126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(272) - (sqrt(272) - (sqrt(272) + sqrt(272) + 1 + 4))**2.\nAnswer: -297 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*d = 2, 20*k = 16*k - 4*d + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -21. Differentiate -5 - 10*f**3 - 1 + r - f**3 with respect to f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 9763535.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236891084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -152, 2, 0.6, 1\/297, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 6*h + 76. Is t(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 2. Suppose -2*i + 7*i + 10 = 0. Let p be m(i). Suppose 5*f - 5*j - 23 = 12, 4*f - j = p. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = a - 24, -2*a + 5*v - 3 = -6. Let i be (-6)\/(-9) + ((-888)\/a)\/4. Let u be -1*(i\/(-156))\/((-40)\/2). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/14956224 and -83\/383100?\nAnswer: 373905600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3342*z + 17360 = -3776*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6496255 and 21\/28583522.\nAnswer: 142917610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4366 and 37?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/(-15) - -7) + (4 - 40\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103920678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.135542 years?\nAnswer: 0.04135542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z. Suppose -q - 19 = -z*q + 5*x, 3*x + 27 = 2*q. What is the highest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 21. Let a(n) = n**3 - n - 2. Calculate 2*a(y) + u(y).\nAnswer: 2*y**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/31660 and -16\/4665.\nAnswer: 29538780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 1 - 1)*(-3 - 4 + 3) - 6*p - 8 + 8.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54586\/1671*9*(-4)\/(-24)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.565? (a) -2\/19 (b) -2.3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20878 and 1430?\nAnswer: 104390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2841*f**4\/2 + 9141*f**2\/2 + 14590. Find the second derivative of t(g) wrt g.\nAnswer: -34092*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 5*u + 7. Let z be j(-4). Put -3, z, -5 in descending order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2408674 is divided by 1546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(sqrt(5) + 1 + 3)**2 + -1*1*(sqrt(20)\/sqrt(4))**2).\nAnswer: 16*sqrt(5) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -296.9. Let p = 25 - d. Is 3\/4 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5646491702.\nAnswer: 2, 32983, 85597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259.5 - 332. Let j = -72 - w. Let r = 37 - 9. What is the biggest value in j, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0 - 3. Differentiate x - 2*x - 1 - v*x + x with respect to x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1191 or -8.83?\nAnswer: -8.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/21 - 4)\/((-87)\/290 - 393\/(-210))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2\/3*l**2 + 11552\/3 - 304\/3*l = 0.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + 5 + -3 + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*z + 26, -3 = -2*z + 5. Let j(x) = -2*x + 3*x - 3*x + 2 - r. Give j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 38?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75.4 in 2, -0.4, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 62. Suppose 5*k = 4*h - 93, i = 5*h - 5*k - 65. Let a = 29 - h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (9 + -10) - 6 - 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140477*q - 6946 wrt q.\nAnswer: 140477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -5 + (23 - (14 + -7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/18 and -73\/138.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/116236758 and 109\/77491172.\nAnswer: 232473516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-3 + (-4)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 139*d**2 + 43*d + 135. Give c(46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4549725 by 45.\nAnswer: 101105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 9*r + 190 = 26*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 94 = 206. Suppose 69*m - j*m - 9 = 0. Solve 0 = -b + m + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35037803 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 2*sqrt(77) + sqrt(77))))\/sqrt(11) - (-2*sqrt(28))\/sqrt(4)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5452067 times 0.4?\nAnswer: -2180826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2698, -2687, -2676, -2665, -2654, -2643?\n\"Answer: 11*y - 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199400825 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/48*6*-1. Suppose -3*k + 6*c - 2 = n*c, 5*k - 18 = 2*c. Calculate the highest common factor of 32 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 21*a**2 - 19*a - 20. Let x be z(20). Suppose -m + 8 = -x*m. Let i(u) = -u**3 + 10*u**2 - 6*u + 10. Is i(m) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 - 996*p**2 - 30240*p - 217168 = 0.\nAnswer: -14, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*k + 7*k + 1)*(4 - 2 + 1)*(-k - 3*k + 3*k).\nAnswer: 3*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9075*i**2*q**3 - 107*i**2 - 4*i*q + 25*i + 2*q**4 + 5 wrt q?\nAnswer: -54450*i**2*q + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-270)\/(-162))\/(1\/177). Suppose 0 = -j - 4*l + h, -2*l + 1019 - 2604 = -5*j. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 2*a - 9. Let g(s) = -7 + 10*s**2 + 0*s**2 + 3*s - 6 + 0*s**2. What is -5*g(n) + 7*y(n)?\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = -o + 403. Is o equal to 2\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 10*j**2 - 6*j - 25. Calculate the least common multiple of l(9) and 251.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*t**3 + 4*t - 259*t**3 + 8*t - 12*t.\nAnswer: 35*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3394277766.86507 - 3394297091. Let k = -19324 - v. Let y = -0.134 + k. What is y rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637729551 to the nearest integer?\nAnswer: 25253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:00 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-3)\/((-6)\/14). Let f be (-2)\/6*72\/v. Suppose 8*s - 3*s - 20 = 0. Solve -4*n - 17 = 5*u, -f*n + 3*u - s*u = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/((-2)\/3). Let k(j) = j**2 - j. Let x be k(r). Suppose 0*h + 2*h = i - 2, 5*i - h - 19 = x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(2\/5)\/(g**6*g**(-2)))**(2\/57) assuming g is positive.\nAnswer: g**(-44\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 + 43*g - 37. Let q(t) = 11*t**2 + 65*t - 55. Let s(k) = 8*n(k) - 5*q(k). Let u be s(-19). Which is bigger: -20 or u?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejt when four letters picked without replacement from {e: 2, j: 2, t: 1, d: 1, k: 1, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 552 = -348 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 511 + -0.321\nAnswer: 510.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4 - 13. Let r be (3\/2)\/(15\/50). Is r\/(((-5)\/s)\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445462 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 190*k - 192*k, -5*k = -2*t + 350. What is the greatest common divisor of t and 1930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2) + 27 + -10. Solve -g = 5*r - r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (16 - 1 - (-858 + 860))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 - 7*y - 3. Suppose -147*c = -170*c + 138. Let t(j) = 4*j + 3. Let v be t(-2). Let x(k) = -7*k**3 - 8*k - 3. What is c*n(a) + v*x(a)?\nAnswer: -a**3 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -854, -1889, -3334, -5189, -7454?\nAnswer: -10129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 528 (c) -27 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**2 + 5*f**2 - 5*f + 2*f - 2*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6527*t + 3503 = -3024 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1. Let f(p) = 2*p + 1. Give f(b) + 2*m(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*u**14*(u**1)**38 assuming u is positive.\nAnswer: u**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*c - 315*c + 70*c - 400*c as j*c + t and give j.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqznnzunszrzsqq. What is prob of picking 1 r, 1 u, and 1 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5018, -10047, -15076, -20105, -25134, -30163?\nAnswer: -35192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.961 - -0.039. Is -0.4 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -4. What is the lowest common multiple of d and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/67? (a) 0.07 (b) -16 (c) -0.4 (d) 2\/9 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-40)\/14 - -3). Which is the second smallest value? (a) 1\/4 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646220408?\nAnswer: 2, 563, 143477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212388 divided by -106194.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 1. Let v be y(1). Suppose -29*g - 84 = -35*g. Solve -5*x = -2*w + 6, -v*x - g = 5*w - 0*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -6, 23.\nAnswer: -6, 1\/8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from {t: 5, p: 6, r: 6, d: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(sqrt(1000) + sqrt(10)))\/((1*sqrt(81))\/sqrt(9)).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-6))\/(4\/12). What is the third derivative of 0*f**5 - f**5 - 2*f**n - 3*f**2 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -12*g - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 848, 832, 806, 770, 724, 668?\n\"Answer: -5*z**2 - z + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:54 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -373\/48012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:10 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:07 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**5 - 2*g**3\/3 - 29*g + 17. Differentiate r(b) with respect to b.\nAnswer: 60*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 7, 19, -14, -4\/5, 8\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*n**2 + 14*n**3 + 33*n**3 + 29*n**3 + 5*n**2 wrt n?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:46 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1619 - 1620. Sort o, -5, 218.\nAnswer: -5, o, 218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 118, 116, 114, 112, 110?\n\"Answer: -2*a + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 3053, 4525, 5997, 7469, 8941?\nAnswer: 10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5696 is divided by 709?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15450607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195953, 391876, 587799, 783722?\nAnswer: 979645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*r + 6*k - 7, 20 = 4*k. Suppose -x + 4*c - 23 + 127 = 0, -3*c = r*x - 175. Suppose 23*j + x = 25*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 68930 = -23464. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3719 + -3718.6. Put 5, b, -8 in ascending order.\nAnswer: -8, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 = 0, -5*g + 1 + 59 = -3*v + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -3*b - 2*p, 4*b + 2 = 2*p. Let g be (-5)\/((-30)\/4)*-12. Sort g, b, 3 in increasing order.\nAnswer: g, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0215 + -43.7785. Let n = j - -54. Let s = n - -5.4. What is s rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -607.\nAnswer: 2\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*w - 220, -293*r + 263*r + 242 = 2*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 2*n**2 + 0*n**2 + (n - n + n**2)*(2 + 0 - 4) - n**2 + 4 - 4 + 5*n**2 - 13*n + 13*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 12*t - 20. Let v be g(-6). Let c = -7 + v. What is the lowest common multiple of 7 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*(183 + -34)\/149.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -19\/2, -5 in decreasing order.\nAnswer: -1\/5, -5, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 2*s - s + 2*s. Let u(j) = 4*j**3 + j. Suppose -6 = -0*a + a. Let f(g) = a*u(g) - 7*q(g). What is the second derivative of f(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58529, 58520, 58507, 58490, 58469, 58444, 58415?\nAnswer: 58382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -94. Suppose 6*k - 3*r = k + b, 2*k = 3*r + 26. Suppose 0 = 2*d + 5*n - 44, 0*d = -d + 5*n + k. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 4*h, -h = 3 - 4. Suppose 0 = 4*t - 2*t + 8, -22 = k*r + t. Does 18 divide (-424)\/r + 2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 60 - 42 - 44 + 87 to the form o + k*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(4 + (3 - 110\/16)). What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-15))\/((-4)\/10). Suppose 4*b - 6 = -3*x, -t*x + 0*x + 4 = 0. Let w(r) = r + r - r + b. Let y(j) = j**2. What is y(w(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 0)*234\/8*2.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 3 - 9 + 6*s + 10*s**2 - 17 - 8*s. Let g be o(3). What is the greatest common factor of g and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 11. Let s(n) be the third derivative of -n**4\/24 - 5*n**3\/6 + n**2 + 204. Give 2*c(p) + 5*s(p).\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/30 - b**5\/12 + 6*b**2. Find the third derivative of l(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28677 and 13272.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000138205 to seven dps.\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) -9283 (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 17.12 (c) 4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -44, -159, -382, -749, -1296?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656 - 230*v + 3026*v + 662.\nAnswer: 2796*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/15)\/((-9)\/297). Calculate the greatest common factor of 517 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2301 - 751 - 934 - 1722 + 926)*(-3*k - 14*k**2 + 3*k) as d*k + u + j*k**2 and give j.\nAnswer: 66948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/8 + 13*w**2\/2 + 15*w\/8 - 17\/4.\nAnswer: (w + 1)*(w + 17)*(3*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1300 + -33115?\nAnswer: -34415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*n - 13, 4*f - 5*n + 2*n - 16 = 0. Let s(c) = -4*c**3 + c**2 + 5*c - 3. Let g(m) = m**3 - m**2 - m + 1. Give f*s(i) + 3*g(i).\nAnswer: -i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 683069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -17 - (401 + -395).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16408.06 grams to kilograms.\nAnswer: 16.40806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81099 and 486.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1049, -2098, -3145, -4190, -5233?\n\"Answer: d**2 - 1052*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = 0, -4*y - 20 = -0*m - 3*m. Which is greater: -25\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541825 minus -4?\nAnswer: 2541829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 292 - 204. Suppose 24*l = 28*l - u. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - 53. Let b = 63 + s. Let g = -54.00042 - b. What is g rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five eighths of a meter?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.6 > 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22163, 177319, 598477, 1418639, 2770807, 4787983?\nAnswer: 7603169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjoouuouru. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 - 71 = -l, 3*l - 86 = -4*c. Let a = -7 - -13. What is the remainder when c is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 301, 662, 1171?\nAnswer: 1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34155?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klklkkkkkkklllll. What is prob of picking 3 l and 1 k?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 25. Let g = -14.84 - -10.834. Let q = u + g. Round q to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 2*x + 2. Let u(t) = 5*t**2 - 4*t - 11. Let h(b) = -6*g(b) - u(b). What is h(-19)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.520296cm to kilometers.\nAnswer: 0.00009520296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-20)*(37\/(-6) + 64\/(-48)). Let r be (-8 + 9)\/(11\/2). Which is the nearest to -2\/3? (a) p (b) r (c) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 6*g + 6. Let t be 10\/(-8) + (-9)\/12. Let i be t\/1*(-5 + 3\/2). Let q(f) = f**3 - 7*f**2 + 2*f - 9. Let y be q(i). Give p(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from llppllpllllllllllllp?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 130. Suppose 0 = -5*m - 4*u + 289, f = -16*m + 19*m + 4*u - 175. What is the remainder when 227 is divided by m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let s be (46\/(-138))\/(-2 + 62\/30). Let o(h) = 9*h. Give s*v(x) + 3*o(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/240 - t**3\/24 + 13*t**2. Factor q(a).\nAnswer: (a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - -a4d?\nAnswer: aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (21 - (12 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*q + 5*g - 10, 4*q + 22*g - 10 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288, -1220, -1040, -694, -128, 712, 1880, 3430?\nAnswer: 5416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b - 10. Let a be n(4). Suppose 3*t - 156 = -a. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320 + 576. Is 3 a factor of c\/12 + (-12)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 618\/67 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.1 + 45. Let x = 118.88606 + -120.786. Let i = z + x. What is i rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 11\/36*k**4 + 0*k - 7\/180*k**6 - 11\/90*k**5 - 1\/126*k**8 + 13\/315*k**7 - 2\/9*k**3 + 0 - 62*k**2. Solve p(a) = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = 2*o + 5*o + 304 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/3 - w**2 + 10*w. Let k be q(2). What is the third derivative of 36*o**4 - 4*o**k + 11*o**6 - 36*o**4 wrt o?\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 8095451?\nAnswer: 8095451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/613647 and 145\/504?\nAnswer: 34364232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 480*w - 57119. What is h(-262)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9351*l**2 + 0*l + 0*l + 25448*l**2.\nAnswer: 16097*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-24)\/14)\/((-360)\/336)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z + 143*z + 39*z.\nAnswer: 208*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6906068 and 265618.\nAnswer: 6906068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + j = -4, 0*s = -s + 4*j - 1. Let z(d) = -3656 + 3656 + 4*d**2. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 0*m**2 - 6*m + 2*m**2)*(m - 3*m - 2*m)*(m - 4*m + 4*m).\nAnswer: -8*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjkxwcakkkkcakc. What is prob of picking 1 j and 1 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354067, 354219, 354373, 354529, 354687?\nAnswer: 354847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1 + 1670\/(-306)). Let m = -72\/17 + c. Suppose -3*n + n = 4*a - 30, 30 = 3*a + 3*n. What is the second biggest value in m, a, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2852500 and 2.\nAnswer: 2852500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9\/2 (b) 2\/7 (c) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 11. Let x = -11 - g. Let r(v) = -v**2 - 5*v - 3. Calculate r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*p + 128, -26 = -p + 2*v + 29. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 5*r**3\/2 - 15*r**2 + 6*r. Differentiate b(v) with respect to v.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.963394 millilitres to litres.\nAnswer: 0.004963394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c - 410*c = -70*c + 49*c - 26904 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2561\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/720 and 73\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 divided by 16129?\nAnswer: 803\/16129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -127 - -3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7684 - 1.6484. Suppose 0 = 5*q + 5*w - 35, 5*w - 22 - 1 = -2*q. Let a be 6\/(-4) + (1 - 0). Put a, g, q in decreasing order.\nAnswer: q, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ararymaryrymaaraaaa. Give prob of picking 1 y and 3 r.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - 492?\nAnswer: -4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3026 or 0.006529?\nAnswer: -3026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2 = k, 2*k - 212*c = -208*c + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-414)\/(-621)*((-21)\/6 + 1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*t**2 + 172873963*p*t - 168*p - 1718949 with respect to t.\nAnswer: -2*p*t + 172873963*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:54 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131? (a) 0.5 (b) 0.1 (c) -2\/5 (d) 0.3 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 0.2275.\nAnswer: -0.2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 218575262 divided by 7537078?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y - 2*y**3 + 0*y**3 + 23*y + 6*y**3.\nAnswer: 4*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -107. Suppose 2*z + t + 24 = -i, -3*z + 2*t = 101. Which is bigger: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let q(s) = 3*s**2 - 260. Give q(y(o)).\nAnswer: 12*o**4 - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*j**2 + 3 + 134*j - 134*j - 460*j**2 to l*j + z + r*j**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4560149 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: Find the common denominator of 23\/324 and -10\/567.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**4\/8 + 31*x**3\/3 - 5*x**2. Is d(0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 + -160. Is 107 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313 * 0.3.\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z + 14*z + 4*z**3 + ((0 - 4 + 2)*(3*z - 4*z + 3*z) - 2*z - 2*z + 6*z)*(16 - 16 + 7*z**2) as q*z + p*z**2 + j*z**3 + m and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10 + 20*h**2 - 6.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:34 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:24 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h**4\/4 + 75570*h**3 - 816834*h**2 + 617192*h - 121020 = 0. What is h?\nAnswer: -12102, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 168. Let t be (-10)\/44*(l\/35 - 2). Which is the biggest value? (a) t (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -22. What is the closest to -0.1 in s, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 30 = -30. What are the prime factors of (-24)\/(-10)*g\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*c**2*u**3 + 80577*c**2*u**2 + 5*c**2 + 59124*c*u**5 - 5*u**2 wrt u.\nAnswer: 174*c**2 + 3547440*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*q + 0*q - 25 = 0, 4*f = 4*q + 20. Solve 3*x - t - 2 - 13 = f, -t + 15 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:33 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7724563 and 5617864.\nAnswer: 61796504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -40. Suppose 0*q + j = q. Suppose 2*n = 6, 0*a + 3*a = -2*n + q. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 136\/(-16) - 124\/(-40). Let s = 11 - 6. What is the smallest value in -4, -2, w, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128\/113 + 11741\/5876. Let h be ((-9)\/(-6)*-15)\/(3\/2556). Let z = h + 344933\/18. Find the common denominator of d and z.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 61. Solve 2*r = t + 1, 4*t = 4*r - z + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3623315?\nAnswer: -3623316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110505, -110487, -110457, -110415, -110361, -110295, -110217?\n\"Answer: 6*c**2 - 110511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018936063 to 5 decimal places.\nAnswer: -0.01894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let n be (-32)\/70 - (-6)\/10. What is the smallest value in b, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*k**2 - 142*k**2 + 104*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08752 - -1.91248. Which is the third smallest value? (a) 5\/6 (b) 1\/3 (c) q (d) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6637\/231 - 315\/11. What is the smallest value in -1, d, -0.4, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -984a88 (base 11) to base 10\nAnswer: -1573217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 + 369*c**2 + 58*c - 3142. Give h(-92).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*((-2)\/3)\/1. Let o be ((-15)\/4)\/((-6)\/24). Let y = o - r. Calculate the remainder when 16 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67544400 divided by 476?\nAnswer: 141900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*(2 + -3). Let z be 75\/3 + (2 - p - -1). Factor z*g**2 + 3*g + 22*g**2 - 48*g**2.\nAnswer: -g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 427 + 432*g - 131*g**2 + 14*g**2 + 23*g**2 - 11*g**2 - 9.\nAnswer: -(g - 2)**2*(g + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 8. Let k be a(3). Let u(h) = 2*h**2 + h - 1. Let v(m) = m**2 - 13*m - 15. Let t be v(14). Let w be u(t). Put -6, w, k in descending order.\nAnswer: k, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -146375080.\nAnswer: -43912524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2484 and 9440442.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 4 (b) -41999 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520882606 to the power of 1\/2, to the nearest integer?\nAnswer: 50208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800 + 800 + 0*l**2 + 7*l**3 + 0*l**2.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 - c**3\/2 + 3*c**2\/2 - 3*c. Suppose -4*j = j - 10. What is the units digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 80578165.\nAnswer: -2\/80578165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -m - 15. Suppose 164 = m*v - 7. What is the greatest common factor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.39 + 56.49. Which is the closest to 2\/5? (a) 0.4 (b) 0 (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 21*g - 24 = 0. Let d(r) = -r**3 - 8*r**2 - r + 7. Let s be d(g). Let u = s - -59. Solve u*w = -4*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38992 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/12 - w**3\/6 + w**2\/2 - w. Let k(a) = 3*a**2 - 7*a + 5. Let g = -43 - -44. Determine g*k(b) - 5*t(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.739 and -334.2.\nAnswer: 7265.1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -2, 4, -15165, -1 in decreasing order.\nAnswer: 4, -1, -2, -5, -6, -15165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500 + 720. Suppose -2*i = -0*i + t. Let u = 44 - i. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:06 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - 5*l + 9. Suppose 25*i = 24*i - 7. Calculate u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -24 - -26) + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6586 and 1246?\nAnswer: 46102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3997 - -3995. Which is the closest to 0.1? (a) -3\/103 (b) -4\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3763 + -80819\nAnswer: -84582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.109 and 0.04874596?\nAnswer: 0.00531330964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(171))*-4 + 1*sqrt(76)\/sqrt(4))*-5.\nAnswer: 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 5, -0.1, -0.057, 2\/19, -28.1, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**3 + 3*n**2 - 17*n + 46. Let p be s(3). Let i = 187 - p. Solve g + 2 - 7 = -i*b, 4*b - g = 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (-1 + 5) - -18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 4 - (0 + -2 - (-41 + 61)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 3*d - d - 49 - 36.\nAnswer: 2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 197\/2167*77*1 - (-3)\/(594\/(-1390))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + 0.275. Let l = z + -0.06. Let g = 0.075082 - l. Round g to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((3 - -1) + -3). Let y = -1 + t. Let m(n) = -3*n + 4. Let b(l) be the third derivative of -7*l**4\/24 + 3*l**3\/2 - 2*l**2. Give y*b(z) + 5*m(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:17 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131\/266 + 46\/19. Which is the closest to r? (a) -3\/2 (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*f**5 + 2*f**4 - 64*f + 2 wrt f?\nAnswer: -1020*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2578541 to 2 dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18440 by 3688.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 6*d**2 - 5*d - 6. Let s be x(5). Let i = s - -8. Let p(o) = -o**2 + o. Let a be p(2). Sort 1, i, a in decreasing order.\nAnswer: i, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -3, 5, 29, 75, 149, 257, 405?\n\"Answer: h**3 - h**2 - 6*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16760760 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.176 - 1.11. What is a rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/19, -10, 1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2911845976.5 - 2911690256.100045. Let z = u + -155724.4. Let k = 4 + z. What is k rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/10)\/(-2)*11*95. Let g = -372 - l. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14608 + 14608.13. Sort -1, 4, 1\/3, m, -3 in increasing order.\nAnswer: -3, -1, m, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*5.6\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626686 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 3*d**3 - 3*d**3 - 80*d + 1 - 2*d**3 + 78*d. Determine p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 436826, -0.123?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138500 and 2382200?\nAnswer: 11911000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119620057*f**2*i**4 - f**2*i - f**2 + f*i + 14*i + 62922 wrt i.\nAnswer: 1435440684*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/5)*y))\/y*y*y**3\/y)\/(y**5*y*y**(-2\/11)) assuming y is positive.\nAnswer: y**(-287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0*g + 0*g)*(g**3 + 7*g**3 + 27*g**3) in the form x + k*g**3 + m*g**2 + f*g + u*g**4 and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + 4*v, -2*f + 2*v = -3*v + 15. Suppose f = -t - 3*t + 12. Suppose -i = 3*i - 12. Is t at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 9*r - 5. Let d = -36 - -44. Let z be g(d). Is (-4995)\/(-4) + 0 + z\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6004 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscocscccooocc. Give prob of sequence ocoo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 - 204. Let i(l) = -16 + d + 11 - 5*l. Calculate i(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -17. Let y = 7 + t. Which is the nearest to 0? (a) y (b) -6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967908 is divided by 9069.\nAnswer: 9004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13364 = 26*m - 19214. What are the prime factors of m?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.0973 + -2.1973. Which is smaller: f or -2046?\nAnswer: -2046","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -54 - (-4 - -54).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 + 6*b**2 - 3*b + 7. Let f(l) = -15*l**3 + 13*l**2 - 8*l + 15. Give 6*f(h) - 13*w(h).\nAnswer: h**3 - 9*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -4 - 1\/4*v**4 - 1\/20*v**5 + 0*v - 1\/2*v**2 - 1\/2*v**3. Let u(s) be the second derivative of p(s). Factor u(b).\nAnswer: -3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -l, 3*l + 0*h - 35 = -2*h. Let m = -885 - -882. Let u be 102 + m - (2 - 2). Calculate the highest common divisor of l and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.51364t?\nAnswer: 7513640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13242901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -46*l - 5. Let f be c(-2). Let o = 91 - f. Solve 2*r - h = -o, 2*r - 6*r + h - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 62. Calculate the remainder when a + -4 - (-465)\/5 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**4 - 14*d**2 - 8*d**4 + 21*d**4 + (2*d**3 + 1 - 1)*(0 + 0 - d) in the form c*d**4 + u*d**3 + h*d**2 + p + r*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1124 and -67\/3934.\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -69, -41, 7, 81, 187, 331?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 + (3 - 0) + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/6)*o\/(o\/o**1))\/((o*o**(-1)\/o)\/o*o*o*o\/(o**(-1)*o)*o) assuming o is positive.\nAnswer: o**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338 + -773. Let a = -10 - j. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:44 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -13*p + 18*p - 10, -2*y - 8 = -4*p. Let q be (-1)\/(-2)*(y + 25) - 7. What is r in -3*r**4 + q*r**2 + 0 + r - 7\/2*r**3 = 0?\nAnswer: -2, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383 by -1.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 10. Let k(z) be the third derivative of 5*z**4\/8 + 49*z**3\/6 - 2*z**2 + 714. Calculate -11*j(d) + 2*k(d).\nAnswer: -3*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.9 - 46.9. Let i = -3 + 6. Which is the third smallest value? (a) i (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -57\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -599870 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 + 68*z**3 + 157 wrt z.\nAnswer: 4*z**3 + 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -31321, -55, 5 in decreasing order.\nAnswer: 5, -55, -31321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49924 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85456, -85485, -85514, -85543, -85572?\n\"Answer: -29*m - 85427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2. Let h(s) = -7*s**2 - s - 119311. Determine h(z(f)).\nAnswer: -63*f**4 - 3*f**2 - 119311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 8. Is (a\/5)\/(9\/45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 + (-506)\/8. Let h be z*-1*(1 + 0). Let i = 262 - h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12273126035 and -4?\nAnswer: 12273126031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2461685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 7 - 128*o - 47*o - 47 + 2.\nAnswer: -175*o - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = b - 16, -2*b + 0 = 8. Find the third derivative of -2*h**x - 67*h**2 - 78*h**3 + 104*h**3 - 13*h**2 wrt h.\nAnswer: -48*h + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 4*q - 3. Let k be t(4). Let l be 1759513\/(-144) + ((-58)\/18 - k). Let y = l + 12213. What is the common denominator of y and -21\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -0. Let t be ((-6)\/4)\/((-3)\/p). Let q = 3 - t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519 + 522. Suppose -4*k = -n*q + 5425, -k + 7246 = 7*q - 3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 67. Suppose g = 2*l - 55. Let t(f) = 4*f - 2. Let q be t(4). What is the highest common divisor of q and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5207*0.052\nAnswer: 270.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -213, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4061 and 16375?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 18 = -3*r, 0*u - 4*u + r - 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743828\/44 - (2\/11)\/1.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 122512252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 18) + -11 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20420 (base 5) in base 12?\nAnswer: -954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -58.982. Let l = 0.0180305 - b. Round l to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/117 - (-1 - (-40)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-12)*(-279)\/(-6) and 89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/63 - ((-850)\/105 + 7). Put -2, 4, w, 101 in descending order.\nAnswer: 101, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/7*294\/28 - -4. What is the highest common factor of 130 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o**2. Let r(j) = 13*j**2 + 38*j**2 - 52*j**2. Calculate t(r(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 2*a + 19. Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*z + 187 = 0, 3*z = -3*m + 2*m + 44. Suppose -b + m - 19 = 0. Suppose -2*u + 2 = -b. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 equal to 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k - 10*k + k**4 - 3*k**4 wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 15607566?\nAnswer: -62430264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - n - 2*n)*(-188 + 60*n**2 + 188) to k + h*n + t*n**3 + c*n**2 and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 706*n**2 - 287*n - 281. Determine z(-1).\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -59. Suppose 3*r + r - 4 = 0, m + 3*r - 3 = 0. Suppose m = g - 6 + 1. Solve -g*t = f + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4395 - -0.5605. Which is the closest to 1\/2? (a) 2\/11 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*l - 127 = -6863 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -0.09. Let z = -4 - -6. Let y be 0 + 0 - (-1)\/z. What is the closest to y in -3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*i = 113*i - 18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 + -152. Sort 16, 2, f.\nAnswer: 2, f, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.7 + 6. Let j = 384 + -375. What is the biggest value in f, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 15 + 2 + 21.\nAnswer: 3*n + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36444 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y - 0. Let a be -1 - 1*y\/2. What is the nearest to 2 in a, 0.1, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42213.\nAnswer: 3, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314489 - -459798. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, -82, 1 in decreasing order.\nAnswer: 4, 3, 1, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94387 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**3 - 2*t**2 - t - 8. Let u(v) be the first derivative of 7*v**4\/4 + 2*v**3\/3 + v**2\/2 + 9*v + 17. Let p(m) = -6*f(m) - 5*u(m). Calculate p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -152, -403, -744, -1169?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435*x - 822*x = -195*x + 57146 + 37706 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112444?\nAnswer: 2, 278111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152123 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000011101000111010 + -101?\nAnswer: -1110000011101000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 0.5, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n + 7*n**2 - 6*n**3 + 1 - n - 9*n - 7*n**2 wrt n.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18)**(-2\/29) assuming r is positive.\nAnswer: r**(-36\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o**2 + 1138*o + 42. Determine l(-30).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -0.5, 1\/5, -198, -5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7991 + -5145. Let i = 2844.827 - y. What is i rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*n**6*y - 63*n**4*y + n**3 + 14528*n**2*y wrt n.\nAnswer: -14280*n**3*y - 1512*n*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**3*q**4 - 2*k**3*q**2 + 7238*k**2*q**4 + k**2*q**2 + 1607*k**2 - 13*k wrt q?\nAnswer: -216*k**3*q + 173712*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.66. Let f = y - -12.06. Let a = 12.1 - f. Which is smaller: a or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*h - 2*y - 87 = -148*h, 4*y + 4 = 0. Solve 0 = -5*j - h + 27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**5 - 26*o**4 + 45*o**3 - 29*o**2 + 7*o. Let s(v) = -v**5 - 2*v**4 + 3*v**2 + v. Let i(c) = 21*s(c) - 3*y(c). Factor i(g).\nAnswer: -3*g**2*(g - 5)**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.172819 rounded to 1 decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 13, 12, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -19. Solve 4 = o*x - x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.626166.\nAnswer: -1.626166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 11*s**2 + 3*s + 14. Give l(7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-75)\/(-3510)*(-6)\/15?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*l - 3*q - 2*q, l - 2*q + 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**7\/7 + 3*i**4\/4 - 9*i. Find the third derivative of g(k) wrt k.\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awvw when four letters picked without replacement from {w: 4, m: 2, v: 2, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.2 + 0.2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-4) + -17 + -1. Let m(o) = -133*o + 56*o + 58*o - o**2 + 23. What is the remainder when 5 is divided by m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 21. Calculate the smallest common multiple of t(-10) and 1\/(-4) + (-18)\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + 39\/6. Let v(p) be the third derivative of 0*p**4 - 1\/120*p**6 + 1\/210*p**f + 0*p**5 + 0*p**3 + 0 + 0*p + p**2. Solve v(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -8*s + 1056. Suppose -194 = -2*c - s. Suppose 382 + 680 = c*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39399 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - h - 1 = -2*h, 0 = -u - 4*h + 4. Suppose -5*z - 1330 = 5*z. Let n = 133 + z. Solve n = -2*a - u*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a. Suppose -4*g = v - 1 + 2, a = -v + 4*g - 1. What is the common denominator of -47\/9 and 53\/(-4) - v*1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21035226257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 224466876241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210298 - 1631912483\/7760. Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**2 + 4*o + 1. Let r(z) = 0 - 9*z**2 + 1 + 17*z - 14*z. Let l(p) = 3*f(p) - 4*r(p). What is the derivative of l(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0 + 1\/6*c**3 + 1\/12*c**4 + 3\/2*c**2 - 47*c. Give n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16895 + 16895 + 131*t)*(-1 - 1 + 1) - 33*t + 86 - 86.\nAnswer: -164*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 221867 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26931 is divided by 2690.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4405 (base 9) to base 3\nAnswer: 11110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 433*b + 3988. Let s be g(9). Suppose 0 = -5*r + 40. Solve 22 = r*v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112002211022 - -11?\nAnswer: 112002211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-10) - 154\/(-35). Is j at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 470 + -387. Is g\/(2\/2 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000010 - -10?\nAnswer: 101100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 11) to base 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-6)\/3) - -2. Find the second derivative of -4*i**2 + 7*i**2 - 3*i - 12*i**q wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + 2*r**2)*(r**2 + 5*r - 5*r) - r**4 + 3*r**4 - r**4.\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3915.8064ms to hours.\nAnswer: 0.001087724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 - 3*a**2 - 4*a - 3. Let h = 32 + -37. Calculate p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 0.4, 3, -0.2 in ascending order.\nAnswer: -0.2, 0.4, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 (base 10) in base 5?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 225. Suppose -h - 14 = -a. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 5 in ascending order.\nAnswer: -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210022012 + 1011002?\nAnswer: 211110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 71*n - 1. Let i be l(2). Suppose -5*k + 299 = -i. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1838*c**6 - 2*c**3 - c**2 - 24*c - 15.\nAnswer: -220560*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1665, -2, 5\/2, 3, -4, 4\/5, 13 in decreasing order.\nAnswer: 13, 3, 5\/2, 4\/5, -2, -4, -1665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t**(-3)\/t))*t))\/t)\/(t*t\/(t\/(t**7\/t*t))*t))\/(t**2)**2*((t\/t**(-1\/3))\/t**3)**(-24) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85194 and 9466.\nAnswer: 85194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/11*6)\/((-3)\/2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 2 + 2. Suppose 0 = 11*h - 1 - 21. Let o(b) = 2*b**h - 5969 + 5969. What is o(g(i))?\nAnswer: 242*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u + 30. What is the remainder when 298 is divided by g(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 600\/2051 + -2\/293. Which is the closest to -1\/2? (a) -3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*k - 2 + 5)*(-11*k + 3*k - 10*k) to the form n*k + f*k**2 + h and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Let k = 89 - 803\/9. Let d be 8 - 10 - (2 + 44\/(-10)). Which is the nearest to d? (a) -1 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 - -2*147\/385. Put 1\/4, 5, w in increasing order.\nAnswer: 1\/4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*k - 10, -4*k - 5*t + 9 = -1. Suppose b = 5*c + 2*b - 224, 2*c - 5*b - 68 = k. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103 and 0.045?\nAnswer: 103.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -7*x**5\/20 + 29*x**4\/12 + 17*x**3\/6 + 9*x**2\/2 - 1386*x. Let a(q) = -2*q**3 + 7*q**2 + 4*q + 2. Calculate -9*a(f) + 2*o(f).\nAnswer: 4*f**3 - 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*o + 11, -3*g + 4*o = -6*g + 5. Suppose 0*z - 3*z = 66. Let x be 18\/(-99) - 15\/z. Which is the third smallest value? (a) -2 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17.5. What is the second biggest value in -0.2, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**5))\/(q*q**(1\/10))*(q*q*(q**(-4\/7)*q)\/q)\/(q*q\/(q*q\/(q*q**(-3)))) assuming q is positive.\nAnswer: q**(513\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - c - 19, 4*d - 7*d - 3*c + 15 = 0. Let g be -1*((-1 - 3) + d). Suppose -s - 4 + 9 = g. Solve -s*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - h + 2 + 5 = 0, 5*m - 50 = 4*h. Let t = 2743 + -2741. Put t, 3, m in descending order.\nAnswer: m, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055104773?\nAnswer: 3, 16553, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/34)\/((-31)\/(-62)). Put g, -0.1, -10, -1\/4 in decreasing order.\nAnswer: -0.1, g, -1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 7*k + 2*k - 2*k - 2 + 2 + (4*k - 2*k - 3*k)*(-1 + 6 - 1) in the form w*k + n and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/11*i + 4\/11 - 1\/11*i**3 - 4\/11*i**2.\nAnswer: -(i - 1)*(i + 1)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/4420 and -95\/16?\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/12 + o**3 - 14*o**2. Let r(p) = -4*p - 2. Let i be r(-2). Determine x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100.844 - 0.03.\nAnswer: -100.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)\/(1\/9). Let g = 0 - u. Calculate the smallest common multiple of g and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67226*g**2*n**3 - 17*g**2*n**2 - 349*g**2*n wrt n?\nAnswer: 403356*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 4 - 28\/(-4). Let j(d) = d + 5. Let k be j(g). What is the greatest common factor of k and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21358368 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, y: 7}. What is prob of picking 4 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405063 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 38778, 77558, 116338?\n\"Answer: 38780*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -2.03. Let z = -0.8243 - i. What is z rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1203.\nAnswer: 5\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 423 = -30*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4312 (base 9) to base 10\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let m(y) = 15 - 5*y - 5*y - 5*y + o*y - y**2. What is the units digit of m(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, 0.21, 4, -1, -0.4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + -1 + sqrt(13) + 2)**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g - 4. Let k be r(-5). Let z = 0.02 - 4.02. Which is the smallest value? (a) k (b) 2\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11372, 22755, 34138, 45521, 56904, 68287?\n\"Answer: 11383*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 11*r**2 - r + 9. Let k be y(11). Suppose -15 = -3*f, -j - 2*f + 7 = -0*j. What is the units digit of (-15 - -2 - j)*k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 196?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose -76 = -c + x*m - 0*m, c = 3*m + 78. Let s = 103 - c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6255*c**2. Let p(z) = 29*z**2. Calculate y(p(q)).\nAnswer: 5260455*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-230)\/75*(-15)\/(-10). Are g and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*r - 18. Solve 0 = -0*o + r*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - w**2 + 0*w**2 + (-2*w + 5*w - w)*(2*w - 3*w + 7*w) + w**2 + 4 - 4 + (-2*w - w + 2*w)*(3 + 2*w - 3).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 48 = 2*d. Is (0 - -2)*3608\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3500 (base 10) to base 3.\nAnswer: -11210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556414 (base 10) to base 8.\nAnswer: -2076576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 6) to base 4.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-19)\/(-10) - 2). Let j = -136 - -158. Suppose 8*f = 4*f + 4, 3*m - f = -j. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 2*r, r = -a - a - 23. Is a != -29\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -285112290.\nAnswer: -285112295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123a08 (base 12) in base 5?\nAnswer: -34000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/4 - 13*q**4\/2 - 39*q**3\/2 - 22*q**2 - 15*q\/4 + 9\/2 = 0. Calculate q.\nAnswer: -3, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.5 + 17. Let w be (5748\/828 + -7)\/(4\/6). Which is the smallest value? (a) w (b) 5 (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4 - 9*o**2 - 5*o + 5 - 2 - 3. Let v(x) = 18*x**2 + 9*x - 7. Let q(f) = -5*a(f) - 3*v(f). Give q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 9681*g - 11129320. Determine n(1879).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5171 = -6*g + 2539. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 greater than -359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*w + 40. Solve 0*v - 13 = -w*v - b, 4*b = 4*v - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157*f**2 + 363*f - 11143 wrt f.\nAnswer: -314*f + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d + 6. Let r be z(2). Let j be ((-238)\/4)\/(r\/28). Suppose -5*k + x + j = 0, 2*k + 2*k + x = 88. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2382, -2386, -2390, -2394?\nAnswer: -2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -5\/2, 32, 22865 in decreasing order.\nAnswer: 22865, 32, 2, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886886655.\nAnswer: 3, 5, 19, 547, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2056489\nAnswer: 8225956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*j - 453*j - 3*j**2 + 231*j to the form a*j**2 + f + b*j and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/86 and 151\/36.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*u. Suppose 3 = 5*s + 8, 2*s = -u*z + 478. Let f = -71 + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + -1 + -2*sqrt(3) + sqrt(3) + sqrt(363)*2.\nAnswer: -1 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -1\/21, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-48)*-4*-1*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -511215*u. Let o(y) = 4*y. What is o(x(d))?\nAnswer: -2044860*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7616 and 192?\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.2668 rounded to zero decimal places?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from pylnlbc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152064.5t to micrograms.\nAnswer: 152064500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89685333 by -1.\nAnswer: -89685333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.25903 millilitres?\nAnswer: 0.03625903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 769719 - 231006 = 51*z. List the prime factors of z.\nAnswer: 3, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41552\/(-4452)*(-18)\/(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -521912 != -9916349\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 + 305*o**2 - 4302*o - 428401. Give l(-102).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q**5 + 33*q**4 - 15*q**3 - 9*q**2 = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-1 - -1 - (13 - 17)) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 2*g, -6*g + 4*v + 16 = -2*g. Let c be g\/((36\/(-16))\/(-3)). Let k = -1 - -4. Solve x - c*m + k*m = 0, -4*x - 3*m + 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(35)\/sqrt(5))**2*6.\nAnswer: -24*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 1 + 3 - 2*s. Let u be q(-2). List the prime factors of (7\/u)\/((-1)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 14}. What is prob of sequence kggg?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (4 - (17 - 13 - -9))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3301 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*g + 13653 = -707*g - 26142 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -26. Let h = -1 + j. Let f = 0.34 + 0.06. What is the smallest value in -1\/6, h, f?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ennd when four letters picked without replacement from unnddufupedeudp?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 5*r + 6. Let p be d(-5). Suppose -2*v - 24 = -p*v. Let b = -143 + 209. What is the highest common factor of b and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2889\/16 - -363\/2. What is the common denominator of y and (-62)\/8*(17 + -20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.4, 5, -0.09, 4 in increasing order.\nAnswer: -0.09, 0.4, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4. What is t(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.3664658 rounded to two decimal places?\nAnswer: 90.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*p + 6, 5*p + 5 = -3*d - 1. Suppose -3*h + 4*h = 3*o - 43, 53 = 3*o + 4*h. Suppose 2*b + o = 4*z - 3, b = -5. Sort d, 4, z.\nAnswer: d, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87434.2 + -87425.13037. Let a = -9.00962821 + l. Let k = a - 0.06. What is k rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -27, -3, 53, 147?\n\"Answer: n**3 + 7*n**2 - 30*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**2*u**2 - 5*q**2*u + q**2 + 3357540*q*u**2 - 2*q*u - 9*q + 1009*u - 2 wrt u.\nAnswer: 12*q**2 + 6715080*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 + -0.11. Suppose -8 = 4*r - j, 2 = -r - 5*j + 3*j. Let l = -1 - -2. Which is the closest to r? (a) o (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-476)\/(-8)*(91\/91)\/(28\/(-48))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**2. Let h(x) = 19*x - 6*x - 8*x - 7*x. What is h(c(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48492 divided by 1\nAnswer: -48492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.27 - 79.27. Which is the second biggest value? (a) 2\/13 (b) 0.4 (c) -4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 20*a + 23. Let w be f(19). Suppose -x + w = -2*x, 2*n + x - 250 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333024568 or 333024569?\nAnswer: 333024569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4188748 is divided by 5447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144469668 to the power of 1\/2, to the nearest integer?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5 + 5*u**4 + 30*u**3 - 200*u**2 + 160*u + 384 = 0. Calculate u.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6175709, 6175740, 6175771, 6175802, 6175833, 6175864?\nAnswer: 6175895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {i: 6, n: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 - 0.4. Let h be 2\/6 - 0\/(-28). What is the closest to m in -2, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-4)*4\/6. Let u = 54 - 704\/13. Which is the third smallest value? (a) 0 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -78. Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14*g = -19. Put -190, -4, g in increasing order.\nAnswer: -190, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 230. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 4*r - 9 + 2*r - r**2 + 3. List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46584 and 5841763?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 668.7 - 669. Let t = -117 - -355\/3. Put 2, f, t in descending order.\nAnswer: 2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2 + 11. Let f(d) = d**2 - 2*d - 3. Let q be f(i). Find the second derivative of -20*s + q - 41*s**3 + 0 + 28*s**3 wrt s.\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (2 - 2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 12 = 22*f. Calculate the lowest common multiple of f and (-11 - -23)*10\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878820 and 120?\nAnswer: 1757640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10345*l**2 + 20680*l**2 - 10335*l**2 - 7196*l**3 - l as o*l + r*l**2 + g*l**3 + u and give g.\nAnswer: -7196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**28\/p**6 assuming p is positive.\nAnswer: p**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 - 12 - 6*n**2 + 12*n**2)*(-3*n + 4*n + n) - n**3 + 0*n**3 + 2*n**3.\nAnswer: -n**3 - 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 15. Let o(l) = -4*l**3 - 5*l**2 - 25*l - 50. Let s be o(-2). Solve h*x - s = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 33 = 9*z - 3*w, 4*z + 3*w - 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1315 - 18*a**3 - 1315.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -171. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -5)*(-7 - (-105)\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313000 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**1*x*x))**(-2\/13))**(-17)\/((x\/x**1*x)**20\/(x**(2\/5)*x*x\/(x\/x**(-5\/2)))) assuming x is positive.\nAnswer: x**(-3423\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 8. Let l(s) = 3*s + 23. Determine -4*l(u) - 11*m(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04845589189 to 6 dps.\nAnswer: -0.048456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 5*n**4 + 8*n**4 + 1 - 10*n**4 + n**2 + n + 9*n**4 - n**4 to y + c*n**4 + k*n**3 + v*n + m*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 + 23*s**3\/3 + 39*s**2\/2 + 4*s - 112. Let f be n(-21). Calculate the highest common divisor of f and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239671 is divided by 92.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 - 4*i**2 + 9*i - 1. Let l(g) = -3*g**3 - 4*g**2 + 8*g - 1. Let b(h) = -3*l(h) + 2*y(h). Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 take away -0.5?\nAnswer: 83.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9646 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkll when four letters picked without replacement from llllkllllllkkk?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246132425 to the nearest integer?\nAnswer: 15689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 588176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/20 + v**4\/3 - v**3\/6 - 2*v**2 + v. Suppose 0 = -2*p + 20 - 28. Let d be m(p). Sort -3, d, -4\/5 in descending order.\nAnswer: d, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 209*y + 2381. What is b(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10384 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: Let u(m) = -m**3 + 7*m + 4. Let d be u(-3). Let a(f) be the third derivative of f**5\/60 + f**4\/3 - 3*f**3\/2 - 2*f**2. Let i be a(-10). Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 10}. Give prob of sequence ssst.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/1170)\/(((27\/(-4))\/9)\/((-27)\/6))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*o + 44*o + 51*o + o**2 + 41*o - 135 to f*o**2 + d*o + m and give m.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u - 6. Solve -2*w - 2 = 2*z, 0 = -z + u*z - 2*w - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*j - 1602307 = 0, -26952 = -4*i - 2*j - 2163366. Let h = -184104 - i. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(-3105)\/(-414).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from ssnts?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 438702, -2.\nAnswer: -4, -2, 438702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 7. Let n be (-182)\/(-9) + q\/36. Solve -j + 4*u + n = -0*u, u = j - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let i = -1 + s. Which is the nearest to 3? (a) -3\/8 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654429 is divided by 17234.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -31*h + 4. Let f be ((-8)\/24)\/(((-8)\/6)\/(-4)). What is the units digit of u(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 705640 = 4*n. Suppose 2*i - n = i. Suppose 2*p - 7105640 = -i. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209734*j**2*w + 899*j**2 - 2251417*j*w + 2*j + 12*w + 2 wrt j?\nAnswer: -419468*w + 1798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 5930.\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 29*o + 57. Suppose -18*a = -16*a + 32. Calculate the remainder when 148 is divided by i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-452)\/(-24) - (-16)\/96) + -99 + 94?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(35\/69) + 3\/21. Solve 13*b = 18*b - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3945412430 to the power of 1\/2, to the nearest integer?\nAnswer: 62813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -80579?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6703 or 6705?\nAnswer: 6703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 37*o**3 - 73*o**3 + 1 + 38*o**3 to the form c*o**2 + w + x*o**3 + i*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -469 + 162. Let u = h - -306.589. Round u to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 59. Suppose -2*u - 55 = -7*u. Suppose -3*f - 2*j = -7*j - 8, 2 = j. Calculate the lowest common multiple of d(u) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 33 = -3*j, -j + u + 3*u - 1 = 0. What are the prime factors of j\/(-2) - (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (11 - (-3 - -3)) - -4.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 5416.\nAnswer: 5420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 102 = 2*n. Let y(w) = 2*w**3 - 3*w**2 - 3*w + 8. List the prime factors of y(n).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 11*l**2 + l + 8. Let y(z) = -7*z**3 - 12*z**2 + 2*z + 9. Let h(s) = -6*o(s) + 5*y(s). Does 3 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in years?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + k - 25 = -3*p, -3*p - 5*k = -15. Suppose d + 1 = -2. Sort d, -1, p in decreasing order.\nAnswer: p, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-1)\/2 - -1). Let k be (-7 + 2)*i\/10. Suppose -2 = 2*v, 4 + 34 = 2*n + k*v. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.24\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, 9 in decreasing order.\nAnswer: 9, 6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 84. Let l = 10.4 - 25. Let v = -15 - l. Put 0.2, v, x in increasing order.\nAnswer: v, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10) + 1122\/3960?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31552 and 29232?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 33, 83, 171, 309, 509?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -64, -2.41, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**4 + 10*o**3 + 177*o**2 - 5. Let j(w) = -1. Let b(k) = -h(k) + 5*j(k). Find the third derivative of b(c) wrt c.\nAnswer: -24*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*1\/(-10)*25\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -10. Suppose -4*w + 529 + 1011 = 0. Suppose -5*c - 3*h + w = 0, -5*h + 92 - 15 = c. Calculate the greatest common divisor of c and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, -4, 7686 in decreasing order.\nAnswer: 7686, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fqffqffqfqfq?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.04 (c) -0.1 (d) 45 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49\/156 + 1\/52. Let f = 0.22 - -0.08. Let h = 0.1 - -0.1. Which is the nearest to g? (a) f (b) h (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-14))\/(66\/(-308)). Let z(w) be the second derivative of i*w + 0*w**3 - 1\/6*w**4 + 2*w**2 + 0. Differentiate z(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and -44 + 32 + 1\/(2\/738)?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106\/(-181896)*-1896 - (-2)\/(-11)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-243))\/(434\/(-837)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c - 51. Let t be r(6). Let a = t + -22. Suppose a*o = -5*k + 10, 2*k + 1 = 4*o + 5. Let j(y) = y**3 - 2*y - 1. Calculate j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by -50\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162185901 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*a + 52047 - 53503 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/4 - 27*g**4\/2 - 103*g**3 - 153*g**2\/2 + 413*g\/4 + 90 = 0. What is g?\nAnswer: -45, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2333 + 536*o**2 - 2333 as z + u*o + m*o**2 and give m.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 934*b*k**2*l - 2*b*k**2 - 10026*b*k*l - 234*b*k - 2*b - 32*k**2 - 17 wrt l?\nAnswer: 934*b*k**2 - 10026*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412054073.\nAnswer: 412054073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - -6.1. Let c = o - 2. Let i = c + -1. Sort i, 2, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 35*n**4\/24 - n**3\/6 + 8*n**2. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251424 or -251440?\nAnswer: -251440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 8*b**2 - 8*b - 4. Let d be o(-7). Suppose -9*x - 6*x + 26 = -2*x. Solve 3 = -x*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*x**3 + 3*x + 305*x**3 + 0 + 7*x**4 + 1 in the form d + q*x**3 + s*x + i*x**4 + y*x**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*n = -1 + 15, 3*n = -h + 7. Let w = -361 - -362. Which is the nearest to 2\/3? (a) h (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 4*k**2 + 3*k - 4 + 12*k**2 + k - 15*k**2. What is the derivative of b(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = -35*i + 392. What is the remainder when i is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112678 (base 10) in base 6?\nAnswer: -2225354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*o - 0*o + 11, 4*k + 2 = o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(234)\/sqrt(2)*6.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and -12*1*((-6)\/(-11) + 5547\/(-66)).\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51721.799381 + -882396.200579. Let v = -934155 - g. Let d = v - -37. Round d to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392638 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*l - 20, -26 = 5*n + 5*l - 2*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 - n + 1. Let v(x) = -4*x**3 - 4*x**2 + 6*x + 5. Let z(g) = 3*r(g) - v(g). Let j be z(-5). What is the second biggest value in 1\/5, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 46913*g**2 + 7*g - 16. Suppose f + 12 = 7*f. Let c be (f + 16)\/((2 - 1) + 1). Let s be a(c). Round s to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1367.159 decades to millennia.\nAnswer: 13.67159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 = -n. Let v = n + -2. What is the units digit of (15\/(-10))\/(v\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/425934 and 29\/1514432.\nAnswer: 13629888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/2)*h**(-21))\/(h**(1\/2)*h\/(h**(-2\/23)*h)) assuming h is positive.\nAnswer: h**(-416\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116266 = -76*o + 441650. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 250. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.129648293?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 14. Let v be q(-4). Suppose -11 = -4*n - i, v = 5*n + 3*i - 6. Let o = -2\/5 - -32\/105. Which is the nearest to o? (a) -2 (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1698 = 3*x, -3*n - 3*x - 1263 = -6*n. What is the highest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e75 (base 16) in base 3?\nAnswer: 121022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1484 and 715125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1558611 and 310063.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 30636*k\/11 - 117320562\/11.\nAnswer: -2*(k + 7659)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216.759 + 217. What is a rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 621, 610, 609, 636, 709, 846, 1065?\n\"Answer: 3*d**3 - 13*d**2 + 7*d + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(10\/17)\/(k**(-1\/2)*k\/(k\/k**3)*k)*(k\/k**(1\/3))**11*(k\/k**(-1\/3))\/k*k**1\/k assuming k is positive.\nAnswer: k**(485\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 3*x**3 - x**3 + (-4 + 1 + 2)*(-6*x**3 + x**3 + 4*x**3).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 7*p + 198996000. Round p to the nearest 100000.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-193)\/(-14) - 16\/6*(-288)\/(-64))\/5\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118031.\nAnswer: 17, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {u: 3, m: 7, e: 9}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 3*b + 1. Suppose 36 = 5*z - 14. Calculate the remainder when z is divided by o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uju when three letters picked without replacement from uuuhujuuhuuuuhu?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/4, -181, -0.5, 0.1, 1073?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 11*t + 11*t + (0*t - 2*t + 0*t)*(t**2 + t**2 + 0*t**2).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, j: 5}. What is prob of picking 4 i?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 12*t - 10. Let g be x(-13). Let h be 5 + 29 + (-2)\/(-4 + g). Calculate the highest common factor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 - 3*h - 3 - 2*h**2 - h + 15*h**3 - 14*h**3. Let u be l(-3). Solve 0 = 2*w + 1 + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 68, 0, 3 in decreasing order.\nAnswer: 68, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 105. Calculate q(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.581781 days to minutes.\nAnswer: 3717.76464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 22.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/12 - 198*j**2 - 156816*j + 719. Factor i(a).\nAnswer: -(a + 792)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((374\/272)\/11))\/(((-8)\/2)\/(-64))?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 + 16*g - 10. Let q(p) = 3*p**2 + 8*p - 5. Let c(k) = 5*q(k) - 2*x(k). Let u be (-1 - 0)*-6*1. Determine c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9881395 - -438605. Suppose -10*o = -9*o - a. Round o to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*a - 1155 + 1155 - 345*a to u + r*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -376, -1535, -3480, -6211?\n\"Answer: -393*t**2 + 20*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 566 - 7*f - 17*f + 24*f - 4*f**2 to the form a + i*f**2 + g*f and give a.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 24. Let u = -3.3 - -3. Is m <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9. Let s(n) = -1028*n + 1044. Let y(i) = -s(i) - 2*x(i). Differentiate y(b) with respect to b.\nAnswer: 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5409, 5647, 5883, 6117?\nAnswer: 6349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3336.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446515.\nAnswer: 5, 89303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 440794 divided by 220397\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 96. List the prime factors of 12\/66 + (-6433)\/b.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7577?\nAnswer: 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = -4. Suppose 0*f - 3*f = c - 9, 0 = -5*f - 3*c + 19. Suppose -p - f*p + 3 = 0. Are t and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26498.\nAnswer: 2, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 24337401?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - -20004040?\nAnswer: 20004202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(132) + (sqrt(132) - (sqrt(132)*2 + sqrt(132))*5))\/(sqrt(108)*5).\nAnswer: -13*sqrt(11)\/15 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -246, -548, -970, -1512?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.411 - -1.211. Which is the smallest value? (a) r (b) 2\/5 (c) 29 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 589. What is the tens digit of ((-1)\/2)\/(4 + w\/116)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*s - 1)*(0 + 1 - 3)*(-9 + 8 + 21 + (0 - 1 + 2)*(2 + 2 - 2)) to the form g*s + k and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1\/20*d**5 - 5\/12*d**4 - 5\/2*d**2 + 0 - d - 2\/3*d**3. Let c be i(6). Solve -t + 22 = -4*s, c*s + 33 = 4*t + 2*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 0 (c) 1\/7 (d) 7 (e) -0.3 (f) 5 (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1753226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75454, 603648, 2037366, 4829386, 9432486, 16299444?\nAnswer: 25883038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14.6, -24, -100?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) + (-4)\/(-12). Let n be 8\/3 + y\/(-3). Let g = -2 + n. Are g and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:28 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 9 = 56*k - 30*k + 5*g, 0 = 10*k - g - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 975749\/617550 - 2\/61755. Calculate the common denominator of b and 87\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 24*m**2 + 267*m + 227. Determine q(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 6*y + 8. Suppose 0 = -2*a - 0*a + 12. Let u be h(a). Let l be (-894)\/(-126) - (1682\/609)\/29. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkkkkkkkvkk. What is prob of picking 2 k and 2 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -661442a (base 11) in base 12?\nAnswer: -3a82389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 + 3*p**3\/2 - 2*p**2 - 5*p. Let c be i(8). Solve -4*t + 2*t = -c*n - 24, -5*n = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 20. Let p be 100\/8*u\/(-10). Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -313*i + 303*i. Suppose -j + 16 = 5*s - 11, -2*j + 54 = 4*s. Calculate the greatest common factor of i and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let z be a(4). Suppose -z*s + 6 = -0. Suppose 20 = -f + 2*f - 4*b, -s*f + 10 = -2*b. Solve f = 4*j + 5 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -262 + 4*i**3 - 6*i + 315 + 172*i**2 + 2*i - 225.\nAnswer: 4*(i - 1)*(i + 1)*(i + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478264 times 46?\nAnswer: -22000144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/48*-3*(-72)\/(-8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 1, p: 4}. What is prob of picking 1 a, 2 c, and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 184875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3487606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (169 - 91 - 92)*((5 - 5 + 2*t)*(-1 + 2 + 0) + 16*t + 11*t - 43*t) in the form n*t + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/25, -286, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/7))**(8\/5)*i**(-3)*(i\/(i*i**6*i*i))\/i*i)**(-4\/3))**(-1\/3) assuming i is positive.\nAnswer: i**(-1604\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 993*w**2 - 495*w - 8. Determine i(165).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17761665 divided by 96009.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h - 475, -5*h + 4*q = -381 - 856. Let u = 211 - h. Which is greater: -35 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*b**6 - 63*b**2 wrt b.\nAnswer: -29640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -10504452212?\nAnswer: 10504452201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1872) + sqrt(1872) + 2.\nAnswer: -2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w + 3*w + 355 + 13*w. Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.76361ml in litres?\nAnswer: 0.04176361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 13 (c) 0.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2068273 and 1773.14?\nAnswer: 2070046.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.3 from -986040671.\nAnswer: -986040694.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 16. Let x be v(7). Let u = x + 33. Sort 4, u, -5 in descending order.\nAnswer: u, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153210627.\nAnswer: 3, 97, 175499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 2*h + 4. What is k(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 279 + 133 = -n + 538 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2462 + 2477. Is v <= 128\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 9.013234.\nAnswer: 495.72787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*h**2 + 103*h**2 + 93*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*q - 289*q - 14*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 2, 11, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174632330 + -32?\nAnswer: -174632362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(n + 5*n - 5*n)*(-n - n - n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-28)*36\/8 + (620\/20 - 22).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*6\/(-8)*(-67)\/804\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**7\/840 - a**6\/144 - a**5\/60 - a**2. Let v(r) be the third derivative of m(r). Let u be v(-5). Solve -2*k = 3*k + u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(1836)*-1)\/((sqrt(252)\/sqrt(7))\/sqrt(12)) + 2 + -1.\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = y - h + 6, 1 = -y + 4*h. Let o(z) = -z. Let q be o(y). Let s be (q\/(-4))\/(1\/(-4)). Solve 0 = -r + 4*m + 22, 5*r = -0*m - m + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f + 97*f + 157*f + 3250 = -14*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -24, -32, -40, -48?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3544 + 213033?\nAnswer: 205045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h - 2 = 0. Let j be (49 - -6)\/(2 - h). What is the greatest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 275472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 380909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*v**2\/11 - 346*v\/11 + 36\/11.\nAnswer: 2*(v - 9)*(19*v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 - t - 4. Suppose -2*h - 2 - 2 = -5*x, 0 = 5*x + 5*h + 10. Suppose -15 = -5*y - x. What is the units digit of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2) + 3*1. Suppose -15 - 5 = -z*v. Suppose 14 = v*h + 6. Solve 0 = 2*s - 2*o - 2, -4*s - h*o = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4645898*j**4 + 711553?\nAnswer: -18583592*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*v**2 - 662*v**3 - 6210*v**2 + 1557*v**2 + 1548*v**2 + 1553*v**2.\nAnswer: -662*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*o + 6 = -15*l + 7*l, 0 = -3*l - 5*o - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 33978?\nAnswer: 543648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12136530 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 143800 rounded to the nearest one thousand?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92343, 92531, 92723, 92919, 93119, 93323?\n\"Answer: 2*r**2 + 182*r + 92159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/144)\/(2 + 14\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/203484 and 53\/10.\nAnswer: 1017420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25216385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440, 881, 1322, 1763?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/279)\/((-75)\/945).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1827 divided by 609\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 15*i**2 - 15*i - 24. What is x(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h - 173. Let s be w(16). Put -1, -2, -4, s in descending order.\nAnswer: s, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 at most as big as 19049\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3141864 by -15868.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*2*2. Let h be 13\/21 - o\/(-12). Let j = -138 + 137.9. Which is the third smallest value? (a) j (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257656 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 164866 to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 30 + 30)*(3 - 2*c - 3)*(-92 + 92 + 14*c).\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(6)*2)\/sqrt(3))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 3\/2*z**2 + 4 + z. Differentiate x(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 36*z = 3*a - 462, -4*z - 300 = -2*a. List the prime factors of (a\/2 - 1)\/((-36)\/(-90)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 10. Let u be g(-4). Let c be u*(21\/6 + -4). What is the third derivative of -6*f**3 - f**3 + 27*f - 27*f + c*f**2 wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 144, x + 170 - 308 = 3*d - 160 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/21 - 61\/21. What is the second smallest value in 0.25, 5, d?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 9138?\nAnswer: -9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 854255*s**4 + 518949*s**2 wrt s.\nAnswer: 20502120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 2*v**2 - 4*v**3 - 153 + 11*v**2.\nAnswer: -4*v**3 + 12*v**2 - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.0436 (b) 4 (c) 7 (d) 5 (e) -2 (f) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/30)\/(7\/((-252)\/(-20))). Factor -i*t + 1\/10*t**2 + 0.\nAnswer: t*(t - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + -5.1. Let t = j - -4. Let r = -4 + 3.5. Sort r, t, -1 in decreasing order.\nAnswer: r, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -914*o - 42. Let h(d) = 183*d + 8. What is 3*f(n) + 16*h(n)?\nAnswer: 186*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 39*k + 1. What is the units digit of r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by -3.\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1844, 0.206.\nAnswer: -2\/9, 0.206, 1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 3)**2 - sqrt(2736))*2 + -2.\nAnswer: 120*sqrt(19) + 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*a + a. Find the second derivative of -l**2 + 0*l + 0*l + 2*l + a*l**2 wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(18\/8). Let s(n) = n**2 - 4*n - 2. Let l be s(3). What is the nearest to o in 1, 1\/6, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 1, w: 4, g: 1, o: 5, s: 1}. What is prob of picking 1 w and 2 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115037 + -46?\nAnswer: -115105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*p + 22 = -13, -2*s + p = 85. List the prime factors of 36\/(-8)*s\/6*8.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/234? (a) 0.0102 (b) 4 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03295994 rounded to 4 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*y - 1847 + 1792 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose 0 = -i*u + 3*u. Solve -4*x + u*x = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11193 and 819.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1305 and -113\/2610?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.66121 nanometers to millimeters.\nAnswer: 0.00007666121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4*p + 17332*o*p + 2*p - 47925 with respect to o.\nAnswer: -4*o**3*p + 17332*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 14*d**2 + 14*d + 12. Let s be l(-13). Let m(r) = 3*r + 1. Let j be m(s). Sort -3, 5, j in decreasing order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35171 + -3?\nAnswer: 3516a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/(-14700) - 307334\/(-5208).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.14, -0.09, -4\/5, -9\/22?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -7109\nAnswer: -4\/7109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 7*n - 13*n. Let j(m) = m**3 + 3*m**2 + 2*m + 1. Let o be j(n). Solve -5*z + 4*z = 3*h + 17, -z - o = -h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2*n + 760. Determine j(27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398707 and 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32584, 65178, 97772, 130366, 162960, 195554?\nAnswer: 228148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -306492 - -306295. Let t = -77 - 120. Is p at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1353116759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1994299 times 1\nAnswer: 1994299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfrd when four letters picked without replacement from {w: 8, u: 1, g: 1, r: 2, f: 1, d: 2}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -16427513?\nAnswer: -29\/16427513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 60, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39823*x**6 - 39002*x**2 wrt x.\nAnswer: 4778760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61218*m + 3*m**2 - 20439*m - 20423*m - 20403*m.\nAnswer: 3*m**2 - 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483391 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9083 - -9985. List the prime factors of m.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83742, 106219, 128696, 151173?\n\"Answer: 22477*r + 61265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3926\/3 + -14420\/11. Find the common denominator of i and 7\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*c + 105, -3*k + 4*k + 2*c - 25 = 0. Suppose 0 = 19*i - k*i + 9128. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6739 - -6743. Solve q - 11 = -3*j, -y*j + 5*j - q - 5 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:53 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrffrf. What is prob of sequence frrf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-5)\/(-10)). Let i = v - -3. Let c be 2\/(-24) + (-1)\/(-3). What is the third biggest value in c, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbh when four letters picked without replacement from {b: 3, h: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379369929*y**3 - 1284585*y**2 + 51 wrt y.\nAnswer: -2276219574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 + -4.2999978. Round w to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-5)\/35*-1)\/(375\/175)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101131112031 (base 4) in base 12?\nAnswer: 1648639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -16, -11, -2, 11, 28?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = 3*d, -4*d - 4*h + 52 = -8*h. Which is bigger: 9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1592269058 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330790.\nAnswer: 2, 5, 19, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 124\/10 + 84870\/18450\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268521 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: Solve 0 = -f - 5*h + 2*h + 13, 3*h = -2*f + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150 - 34. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 10 in ascending order.\nAnswer: -4, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:57 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13127?\nAnswer: 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 430\/(-9) + (-2)\/9. Let i be ((-3)\/6)\/(4\/p). What is the units digit of 2\/(i\/9) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 83900.\nAnswer: -1\/83900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = j - 29, 0*f + 4*j = 2*f + 60. Find the common denominator of (-26)\/(-18) + (-1)\/1 and 32\/110 - (1 + f\/35).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9891)\/18 - 7)\/((-1)\/(-2)). Let q = p + 788. Let z = -108 - q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Let s = 2.3 + p. Let o = -0.3 + s. What is the second smallest value in -2\/11, o, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -104*u**2 + 8*u - 7. Let q be w(1). Let x = q + 105. Let -2\/9*b + 0 + 2\/9*b**3 + 0*b**x = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u*u\/u**(-4\/3)*(u\/(u\/(u*u\/u**(-2\/7))))**(-13\/5))**(-28) assuming u is positive.\nAnswer: u**(2776\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/81))**(-4\/15) assuming g is positive.\nAnswer: g**(-8\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -140*t + 3. Let d be b(1). What is d rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1188 - 1367 + 617)*(-11*a + 47 - 47).\nAnswer: -4818*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91176, -91175, -91174?\nAnswer: -91173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171385972*i**2 + 12407662*i + 8 wrt i.\nAnswer: 342771944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1206 + -6?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/10)\/(c*c*(c**(-2\/7)\/c)\/c))\/(c\/(c*c**0)*c*c)**(39\/5) assuming c is positive.\nAnswer: c**(-1093\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 + 5710?\nAnswer: 5860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 8*t**3 + 5*t**2 + t**2 - t**3 as q + c*t**2 + l*t**3 + i*t and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1727289 and -3.\nAnswer: -5181867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207407256?\nAnswer: 2, 3, 7, 127, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {m: 4, c: 1, q: 4, r: 5, j: 4, e: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -11. Suppose z - u - 4 = 0. Suppose -x + 0*x + z = 0, -3*d + 5*x = 19. Solve 6 = -4*o - d*r, -22 = o + 2*o + 5*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13554*m**2 + 6787*m**2 + 6772*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 + 406. Suppose 42*d - j*d = 19*d. Sort d, 14, 5 in increasing order.\nAnswer: d, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 10294495*g - 154418550.\nAnswer: 5*(g - 15)*(g + 2058914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -6, -8, -8, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 13, 4*z + 3392 = 2*k + 3334 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18450 and 675.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/4 and 36\/413?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18769916 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 0.508.\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*v + 200*v + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p - 1. Let k be j(-2). Let i = 7 + k. Suppose -3*c = i*t - 15, -t - 10 = -2*c - 0*t. Solve -4*g = 2*n - 3*n + 8, -g = -c*n + 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.92629 - 11.2384. Let x = 2.68788 - p. Let l = 11 - x. Round l to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8*t + 2*j, -2*j = -53 + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 93*w - 226. Is n(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000066634 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7147)\/(-6126) - ((-1)\/(-2))\/((-2)\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**3 - 4*j**2. Let h(w) = -w**2. Let r(v) = -3*h(v) - z(v). What is the third derivative of r(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -33 + 2*f**3 + 0*f - 5*f + 0*f**3 + 34 - f**2 + 2*f. What is d(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1461748 + -549619. Let b = 912119.00042 - g. Let a = b - -10. Round a to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*b + 36, -105 = -18*k + 13*k + 4*b. Let o(v) = 27 + k*v + 51*v + 0*v. List the prime factors of o(3).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-7) + (-40)\/56)*-13. Suppose i*j - 6*j - 42 = 0. Solve 5*d + 26 = 3*h, -4*h + 6 = -d - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-3) + 0 - -73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 63*r**2 - 62*r**2 + r - r. Let a(s) = -3*s. What is a(o(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b609 (base 14) in base 16?\nAnswer: -11099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4766 - -793180?\nAnswer: 793181.4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdvvfzwsvvwvzfzvwv. Give prob of picking 1 z and 1 f.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185132, 370268, 555406, 740546, 925688?\nAnswer: 1110832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860227.9mm to kilometers.\nAnswer: 0.8602279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 34 = -14*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2499, 4997, 7493, 9987, 12479, 14969?\nAnswer: 17457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h**2 - h**2 + 1 - h**2)*(113*h - 28*h - 4 - 3 + 5) in the form q*h**2 + d*h + u*h**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 33 - 21. What are the prime factors of k*24\/(-32)*-120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-132)\/(-20) - (-3)\/(-5). Let i = u - -13. Calculate the highest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 19*x**4\/24 + x**3\/6 - x**2. Let f = 24 + -21. Is p(f) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(6\/7)\/p)\/p)**(-1\/10))**(3\/22) assuming p is positive.\nAnswer: p**(6\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -71*n. Let p(x) = 12*x - 49*x + 9*x + 7*x + 18*x. Determine p(w(r)).\nAnswer: 213*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510789111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 5*g + 125. Suppose 3*z = 4*w - w - 69, 0 = -5*z - g. Suppose 0 = 7*p - 4*p - w. Calculate the remainder when 23 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89099 by -2.\nAnswer: 89099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.2, 1818, 4?\nAnswer: 1818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4*h - 3*h + 5*h + (-2*h - 2*h + h)*(-1 - 4 + 7).\nAnswer: -8*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 divided by -223?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-7)*b)))\/b*b*b*b**(-1\/12))\/(b**(3\/13)*(b*b*b**(3\/5)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-5393\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6020 and 946?\nAnswer: 66220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 59*a - 75*a - 37 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 185, 184, 183, 182, 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30 - 23)*(-4)\/(-7). Solve -6*u + 2*u = m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*w - 129 = 4*n - 170, -3*w + w = -3*n + 30 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 663 - 284. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -275 - -289.7. Let a = -18 + s. Let d = -3.232 - a. What is d rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.927125 centuries in millennia?\nAnswer: 0.7927125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-570)\/30 + (43\/(-129))\/(2\/(-282)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 + 9*u**3 - 5*u**2 - 8*u**3 in the form n*u + q*u**2 + p + c*u**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2434b - -c9f?\nAnswer: 24fea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1450701*f**2*l**2*y**3 + 2*f**2*y**3 + 209038*f**2*y**2 + f**2 - 2*f*l*y**3 with respect to l.\nAnswer: 2901402*f**2*l*y**3 - 2*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-8) - ((-144)\/9 - -12). Suppose -3*t + 12 = 3. Suppose -t*w - w + 16 = 0. Sort 5\/4, v, w.\nAnswer: v, 5\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9067965, -9067959, -9067951, -9067941?\nAnswer: -9067929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1418*r*y**3 + 2*y**3 - 2*y + 11 wrt r?\nAnswer: -1418*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 18661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 4*a + 3. Let j be p(-6). Let b = j + -4. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 3*v**2 + 2*v + 3. Suppose 0 = 4*w - 2*j - 18, -3*w + 36 = w + 4*j. Let h = 9 - w. What is the units digit of c(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7134 + -13328.25604?\nAnswer: -20462.25604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 294, 297, 300, 303, 306?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 6*d - 565. Suppose d = -2*s + 5*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 136. Let s = m + 71. Calculate the remainder when 16\/((-4)\/18*-3) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(2\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -0.9, -5, 4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b969 + -8107?\nAnswer: 33862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3277651842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1665727\/40 - 41646. Let x = -335304\/219415 - 5\/12538. Calculate the common denominator of r and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17198983*b**5 - 6*b**4 - 183921461*b?\nAnswer: 343979660*b**3 - 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 - 122344*l\/3 + 163104.\nAnswer: 4*(l - 30582)*(l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1911 and 39.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3151515?\nAnswer: -3151521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = b + 5*x, -2*x - x = 4*b + 249. Let h = -89 - b. Sort 2, h, -3 in descending order.\nAnswer: 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*t + 14, -4*t - 10 = -2*t + u. Suppose -2*d - 2*l = 0, 2*d + 3*d + 21 = 2*l. Which is the second biggest value? (a) t (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(d**5 + 2*d**2 - 2*d**2) - 3*d**3 + 2*d**5 + 3*d**3 - 6 + d**5 + 6.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 1 + 4 - 3.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a, 2 = -2*v - 2*a + a. Let l = 98 - 158. Put v, l, 0 in increasing order.\nAnswer: l, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13081 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 678033*-77\nAnswer: -52208541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 + -258.07523?\nAnswer: -100.07523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -939 + 447. Let h = c - -594. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.09043 = -64\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) 22.34 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/6)\/(14\/(-168)*-42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 6 = 4*l. Suppose 2*p - l = 2*f - 3*f, 2*f + 2 = 0. Suppose -p*v + 7 = -33. What is the smallest common multiple of v and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 + 2*p + 3. Let f be r(3). Let x be 64 - (2\/(-2) - 4\/(-2)). Suppose x*y + 10 = 68*y. Solve 2*g + 2*n - 3*n - y = 0, f = -3*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 78, 88, 80, 48, -14, -112, -252?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, i: 2}. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-60 - (54 + -62))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385.0873 - -0.0873. Let x = o + 351. Sort x, -5, 0.5 in increasing order.\nAnswer: x, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-120)\/(-12)) + 29852 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 1. Let y be k(-2). Is (26 + y)\/((-1)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/240*10*32\/(12\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1618578 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(sqrt(45) - sqrt(720) - sqrt(45)) + sqrt(45) + sqrt(45) + sqrt(405)*-1))\/((sqrt(216)\/(sqrt(24)\/sqrt(2)))\/(sqrt(18)*1 + sqrt(2))).\nAnswer: 500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(39)\/((sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3)))*-2) + -3)*-4)**2*5.\nAnswer: -80*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)*-2 + 1)**2.\nAnswer: -84*sqrt(3) + 5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -398 and 0.074.\nAnswer: -29.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -13.8. Let i = w - -6.8. Let f = -7.98 + 8. Which is the closest to 0.2? (a) -1\/3 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163026 and 1260?\nAnswer: 11411820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = 2*y, -3*x + 53 = -3*y + 8*y. Let t be (6\/(-5))\/((-3)\/y). Solve 24 = 3*n + n - t*r, -3*n - 6 = 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119898990 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 101*x - 18. List the prime factors of f(2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Suppose 237*b - 1064 = -38*b + 9*b. Let y(s) be the second derivative of -20*s + 0 + 0*s**2 - 11\/4*s**b + 0*s**3. Determine y(r(j)).\nAnswer: -33*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 20. Let m = 28 + l. Suppose 414 = -0*i + m*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 2. Let n be o(-2). Suppose n*m = 4 + 6. Sort 2, m, -2.\nAnswer: -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 480.246kg?\nAnswer: 480246000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 b when three letters picked without replacement from {m: 2, c: 1, t: 1, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2811707097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 603*q**3*z - 2159*q**2*z + 2*q*z - 193520*z wrt q?\nAnswer: 3618*q*z - 4318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023 = 22*n + 71*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*c**2 + 1 + 6 + 3*c - 3*c + 17*c - 18*c to k + x*c**2 + i*c and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 15*v**2 - 45*v - 49. Let h be t(10). Let q(j) = -j**2 + 2*j - 6. Let x be q(-6). Let d be (1\/3)\/(h*(-6)\/x). Solve c - 12 = -d*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 23. Calculate p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - 10. Suppose -4*w + d = -10. Find the second derivative of -t**4 - 3*t - 4*t**w + t + 4*t**3 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 176108 = -688264. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470900.\nAnswer: 2, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 3. Let h(x) = x**3 - 7*x**2 - 2*x + 12. Let q be h(7). Let y = q - -4. Determine o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 6) to base 11\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.1 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3\/2 - 2*o**2 + 3*o. Let r(c) = 7*c + 9. Calculate -9*j(k) - 4*r(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 10. Let x be k(7). Solve 2*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 14*f**4 + 116*f**3 - 2894*f**2 - 836*f = 0?\nAnswer: -19, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5343 + -13302?\nAnswer: -3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**3 - 10*h**2 + 35*h - 93. Let i(b) = -27*b**3 - 26*b**2 + 104*b - 280. Let l(g) = 3*i(g) - 8*y(g). Find r such that l(r) = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2. Let l(j) = 12*j**2 - 2. Give l(x(c)).\nAnswer: 2700*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 2\/9 (c) -6.41 (d) -22 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**4\/12 + 86*h**2. Let s(v) = -3*v**2 - 2*v. Let o(k) = 16*k**2 + 11*k. Let t(b) = 6*o(b) + 33*s(b). Calculate p(t(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**2 - k**2 + 8*k**2 - 9*k**2 - 6*k**6 wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -27*f**6\/10 + 14013*f**5\/20 + 4689*f**4\/4 + 1565*f**3\/2 + 261*f**2 - 2657*f. Factor d(p).\nAnswer: -3*(p - 174)*(3*p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**10\/o*o*o\/(o*(o**(-9)\/o)\/o*o)*o*o*o*o**(1\/26)*o*o*o*o**10\/o assuming o is positive.\nAnswer: o**(911\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-68 - -122) - (16 - -2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -4, 103, 19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {n: 1, o: 2, x: 1, s: 2, d: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 - l + 217. Let m(r) = -16*r - 2. Let q be m(1). Let a = q - -18. Let g be x(a). Calculate the greatest common factor of g and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.07.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*(0 + 4). Let j be (-3 + 0\/(-6))*4\/(-6). Let g(s) = -95*s**2 - 3*s + 3 + 39*s**j + 5*s + 55*s**2. Give g(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14368128, 28736254, 43104380, 57472506?\n\"Answer: 14368126*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2156?\nAnswer: 646.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*z + 4*i, 3*z + 0*i - i + 3 = 0. Which is the third biggest value? (a) z (b) -1\/7 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/126 - c**3\/3 + 22*c**2\/21 + 17*c + 79. Let l(y) be the first derivative of z(y). Factor l(u).\nAnswer: -2*(u - 1)*(u + 22)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160294 or 158453?\nAnswer: 158453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/105*1\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 447*a**4 - 1350*a**3 - 4*a**2 + 1800*a.\nAnswer: a*(a - 450)*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-4)*(-26)\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 - 132. Suppose -5*v = -3*v - 12. What is the second derivative of -5*q**p + 13*q - 15*q + v*q**3 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -2\/11, -2\/19, 2\/181, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20114*b - 987. Is m(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 6859*a**2 - 347459*a - 86436.\nAnswer: (a - 1764)*(a + 49)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*p + 175 + 83, -194 = -3*q + 2*p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from dssddssddsssd.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*-15*3\/(-120).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 245492.683.\nAnswer: -245484.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 + f - 6. Let l be m(0). Let o(d) = -2*d - 7. Let w be o(l). Suppose -320 = c - w*c. Calculate the highest common divisor of 32 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18\/(-12)*(-13)\/((-52)\/(-336))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q. Which is smaller: -6\/7 or q?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 40 = 4*o. Let c be (18\/5)\/((-12)\/(-90)). Suppose -33 = -3*m + c. Calculate the highest common divisor of o and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6299 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 4 + (-13 - -40).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -35. Is 742\/s*(-6)\/4 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - g**2 - 4*g - 4. Let l be w(-2). Suppose -6 = -2*d, 4*d + l = -5*c + 6*c. What is the remainder when (-6)\/(-9)*c - (-4 + 1) 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 factor of 50 and 17850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 7. Suppose 2*g - 7 = g. Let b(y) = 0 + y + 3*y + 3 + 7. Give g*m(s) + 5*b(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*w**4 + 4505*m**2*w + 4*m*w + 6657*w**5 wrt w.\nAnswer: 48*m**2*w**2 + 133140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m + 3. Calculate y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 50. Find the common denominator of -101\/6 and 3\/(-15) + q\/(-110).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 3*t - 4*t - 7*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016 take away 706?\nAnswer: -705.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 2*r - 3. Suppose 3*o + 4 = -5. Let g be -2*(-3 - o\/6). Let n(x) = 4*x**2 - 5*x - 7. Calculate g*z(b) - 2*n(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + -1)*-3)**2 - (-5 + 1*sqrt(7))**2.\nAnswer: -14*sqrt(7) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose r*p = p. Suppose 3*d - 1 - 5 = p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (43 - 60 - -61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -54*f**2 + f**3 + 60*f**2 - 391*f + 390*f + 38. What is the remainder when n(-5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1 (b) -3127 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 21. Let i(g) = g**3 + 9*g**2 + 7*g + 10. Let z(s) = -s - 15. Let v be z(-7). Calculate the remainder when i(v) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let n(d) = -345*d**2 + 2*d + 2. Give n(t(m)).\nAnswer: -1380*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408410 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: Suppose 20*d - 19*d = 4. Suppose -6 = 2*i, 4*o + d*i - 92 = 44. Calculate the greatest common divisor of o and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 4\/5*j**5 + 2*j - 1\/15*j**6 - 53\/6*j**4 + 0*j**2 + 15 + 0*j**3. Find the third derivative of t(w) wrt w.\nAnswer: -48*w + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or -2\/37?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-1535)\/2763.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 - -2.78. Let r = a + -0.08. Let v be 4*(-2 + (-3)\/(-4)). Are r and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 4 = -4*n, -5*h + 0*h + h + 0*h = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y + 3. Let n(m) = m**3 + 7*m**2 - 10*m - 7. Let q be n(-8). Let z be t(q). Suppose w + 30 = z*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9116.636ns in seconds?\nAnswer: 0.000009116636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = 8. Suppose 0 = p + 3*q - 5, q - 2*q = -1. Suppose -5*k - p*x + 190 = -7*x, d*k + 3*x = 71. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/25 in 23\/7, -1\/5, 0.5, -1\/169?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2160.047 - 0.5.\nAnswer: -2160.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = -55. Let q be (-2 + z)\/3 + 3. Solve -5*v + q + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*j = 307*j - 610*j + 4*o - 92, 12*j + 17*o = 376 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 126796, -2.\nAnswer: -2, 5, 10, 126796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27247\/2 < 13625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31010 (base 5) in base 7?\nAnswer: -5563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 + 272. Let s = -0.4 + -0.1. Which is the closest to s? (a) u (b) 1\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41 + (0 + (6 - 3) - 7). Let q = -29 + v. Let s(i) = -5*i**2 - q - 7*i**2 + 4*i**2 + 9. Calculate s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 9*v - 20. Let d be w(-6). Let i be d\/((2 + -1 + 0)*-2). Let o(a) = i + 8*a - 1 - 3*a. Let k(m) = -5*m**2. Determine k(o(s)).\nAnswer: -125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1891 - 1731. Calculate the smallest common multiple of 176 and d.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 a when four letters picked without replacement from papapppppasppppp.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose o = i - 1. Suppose -2*f = -0*f - o. Which is smaller: -1\/3 or f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.7267349 rounded to one decimal place?\nAnswer: -34.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 l, and 1 h when four letters picked without replacement from ghwwhwlwlllhgwwww?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w + 2*w - 2*w)*(-44*w + 44*w + 9*w**2) - 3*w**3 + w**3 - w**3.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -788.258 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 3\/2*y**3 - 15\/14*y**2 - 9\/70*y**6 + 39\/70*y**5 + 1\/98*y**7 - 9*y - 17\/14*y**4. Let v(i) = 0. Calculate i.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.25, 0, -51, 0.4, 1\/4, 0.3 in increasing order.\nAnswer: -51, 0, 1\/4, 0.3, 0.4, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -19. Let o be ((-3)\/3)\/(3 + n). Let w = 8 - 12. What is the smallest value in 1, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77351?\nAnswer: 77351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + 3.5. Let k = -6 - -8. Let l = 7\/4 - 67\/36. Which is the second biggest value? (a) l (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 722, 1037, 1338, 1619, 1874?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -49, 3\/4, 2, -188?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 42. Suppose -q + r = -8. Let c = q + -21. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -275, 9, 1, -1\/2 in descending order.\nAnswer: 9, 1, 3\/4, -1\/2, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 139. Calculate n(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1181 + -1179. Suppose 5*y + 5*k - 22 = 3*k, -5*k = y - 9. Suppose 3*l + i*v = 61, -y*l - 5*v = -53 - 40. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79429591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172752853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -17 + 4 + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/2)\/((9\/18)\/((-10)\/(-50))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhehhheeehe. Give prob of sequence eh.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a428 - 13?\nAnswer: -9a43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-7480)\/(-30))\/(-22))\/(2\/(-3)*5)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 3*l**3 + 15*l**2 - 9*l.\nAnswer: -3*l*(l - 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:42 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*s + 33*o + 1171 = -194*s, 2*s = -o - 43 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/(-3)*(62 - 65). Let u(p) = -p**2 + 6*p - 5. Let w be u(4). Is t - (w + -8 - -1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 45*k - 228 = 0. Suppose 6*z = 4*q + z - 410, 108 = q - k*z. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10609\/80 + -669\/5. Find the common denominator of (4 + -70)*1\/80 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485331?\nAnswer: 3, 7, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = 3*u. Suppose -3*r = u*r + 4*o - 10, 3*o - 10 = -5*r. Suppose -3*f = 4*f - r*f. Which is greater: f or -36?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 - 36*b - 12. Let i(a) = 11*a**2 - 34*a - 9. Give 3*g(o) - 4*i(o).\nAnswer: -11*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 25 + 0*u**3 + 23*u + 0*u**4 + 38\/5*u**5 + 0*u**2. What is the first derivative of k(c) wrt c?\nAnswer: 152*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c + 5. Let y be z(-6). Let w = -508 - -508. What is the first derivative of -6*v**2 + w - y*v + 29*v + 18 wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -6. Let r = l - -4.999952. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - -81. Suppose -5*v + j = -v - d, -2*j - 80 = -v. Let l(w) = -86*w + 170*w - v*w. Calculate l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1249248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1224527509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) -3 (b) -1079\/233 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12)*-1)\/((-10)\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 + 7*z - 86. Let q(p) = -30*p**2 + 24*p - 301. Let s(w) = -7*q(w) + 24*y(w). Let g(b) = -4*b. Determine g(s(c)).\nAnswer: 24*c**2 - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-288) + 6\/(-16). Let m be 6\/4 - (-1)\/(-1). Which is the second biggest value? (a) m (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 53 + 7. Is 13 a factor of (-102)\/c*6*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1541037 or 1541036?\nAnswer: 1541036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 + 258*v**2 - 158*v**3 - 258*v**2.\nAnswer: -113*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*p - 58*p**2 - 60*p + 49*p**2)*(5*p - 5*p - 2*p**2).\nAnswer: 18*p**4 - 334*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 973438135 + -973438580.000693. Let u = y + 445. Round u to 5 decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*v - 48 = -0*v, 5*x + 45 = 2*v. Let r = -1 - x. Suppose -3*i - 15 + r = 0, -i + 1 = o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12003, -96093, -324331, -768789, -1501539, -2594653, -4120203?\n\"Answer: -12012*b**3 - 2*b**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 28 = -17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 868a8 + -177?\nAnswer: 86731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 43*a**2 + 0*a**2 + 4*a**2 - 64*a**2.\nAnswer: -113*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 9*z**2 + 9*z - 3. Let m be p(8). Suppose -m - 17 = -k. Let b = k - 4. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*m**5*n + 3*m**3*n**2 - 3*m*n**2 + 55*m*n + 2*m wrt m?\nAnswer: -200*m**3*n + 18*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 2*y**3 - 6 + 7*y**3 - 6*y**3 - 2*y**2 + y**2 to g + v*y**3 + o*y + r*y**2 + k*y**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.1202 - -39.1228. Let n = k + 33. Round n to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -c + 60934, 4*b - 55621 = -3*c + 127261. Suppose 0 = -s - 6122 - 81532. Let l = c + s. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31102 (base 4) to base 3\nAnswer: 1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12 - 23 + 22*n + 0 + 15*n. What are the prime factors of g(10)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {l: 1, u: 1, j: 4, h: 3, m: 4, k: 4}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6*o - 3. Let b be w(-4). Suppose -d + 3*t + 19 = 0, -5*t = 4*d - t - 12. Let f = d - 3. Solve p + b = -f*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 26796.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, 14, 1 in descending order.\nAnswer: 14, 5, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -171776 and -171864 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1984962 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3647\/12 - -3173\/30. Let m = -968\/5 - l. Let p = -20001\/4592 - -120\/287. What is the common denominator of m and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = 65*v - 54*v. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - -0.3. Let g = 4 + -8. Let k = -3.6 - -0.6. What is the closest to m in 2\/3, g, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 11. Let s = -4 - p. Differentiate 2 + 2*h**4 - 4*h**4 + s wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371801519 and 842.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134.0000592 + 134. Round i to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 39*g**3 + 8*g**2 - 33*g. Let f(u) = 13*u**3 + 3*u**2 - 11*u. Let s(o) = -8*f(o) + 3*k(o). What is the second derivative of s(n) wrt n?\nAnswer: 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 + 11 = 0. Let n(b) = -b**2 + 5*b + 17. Suppose 3*y = 2*i + 13, 4*y + 4*i = 6*i + 20. Let c be n(y). Sort c, z, -4 in descending order.\nAnswer: c, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 2*a**2 - 2. Let r(c) = c**3 + c**2 + c + 1. Give k(l) + 2*r(l).\nAnswer: 4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 7, s: 6, g: 5}. Give prob of sequence nnsn.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 1, o: 9}. Give prob of picking 1 q and 1 o.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 7*j**2 - 8*j + 4. Let x be k(5). Let l = -178 - -193. Is x greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p**2 - 5775340*p + 1650096 = 0.\nAnswer: 2\/7, 412524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llx when three letters picked without replacement from {b: 1, s: 4, x: 1, g: 2, l: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*o + 235 + 1817 = -206*o for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -177 (c) -4 (d) 4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 3\/2, 0.1, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*m + 6 = 0, 931*m + 19 = 2*v + 928*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20044 + -20037)*2\/(-567)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 43101966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**8\/i*i*i\/((i*i**(-4\/9)\/i)\/i))\/(i*i\/(i**(-2)\/i))**40)**30 assuming i is positive.\nAnswer: i**(-17060\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(25623\/12813 - 2). Let q = h + 363071\/76878. What is the common denominator of q and 1 + (-6)\/56*78?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138? (a) 1 (b) -1\/3 (c) 834\/17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - 26. Let o be x(17). Let h = o + 446. What are the prime factors of h?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.7 (b) 410 (c) 0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 1, o: 9, n: 1}. What is prob of sequence xn?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22541063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402 + -9647\/24. Is j equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(4 - 8) - -48063. Let y = r + -21162. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 14*s**2 + 33*s + 75. Let f be z(10). Solve -2*t + 13 = p, 19 = 2*t - f*p + 8*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 308?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 40085*v. Let t(p) = 27*p**2 + 2. Give t(z(w)).\nAnswer: 43383795075*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1078 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164.07 + 0.93. Let j = -168 + s. Which is the smallest value? (a) j (b) -1 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 153715970*q. Let t(x) = -2*x**2. What is o(t(i))?\nAnswer: -307431940*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1043)\/(-7) - 2\/(-2). Let y = t + -61. Suppose 3*q + l - y = 0, 0*l = -5*q + 3*l + 153. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -336303\nAnswer: -1345212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - -6. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/30)\/(((-2)\/36)\/(39\/(-78)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 6 + -6)\/(-4 + (4 - 28\/217))?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = 1763 - 245. Let q = -47149\/5 - -9499. Let c = q + g. Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 116 + 77 = -11*o, -3*o + 148 = -5*s + o for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/5)*v**(-12)*(v**4\/v)**(-10) assuming v is positive.\nAnswer: v**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 49344992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-6)\/54*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1317*k**3 - 4*k**2 - 4*k - 2. Let o(q) = 2*q**3 + 2*q**2 + 2*q + 1. What is -2*o(j) - z(j)?\nAnswer: -1321*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 0*p**3 + 6*p**3)*(-3*p - 9*p + 13*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2 - 10. Let f be (-23)\/(-6) - a\/6. Suppose 0 = n + 9*n - 50. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 408039.5.\nAnswer: -2040197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1434 - 923 = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10732428000 rounded to the nearest one million?\nAnswer: -10732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1123293?\nAnswer: -224658.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 - 5*z. Let i(a) = 9*a**2 - 7*a. Let c(f) = -5*i(f) + 7*w(f). Let b(x) = -x**2. Give b(c(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227125.7ns to minutes.\nAnswer: 0.000020452095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let g(t) = -5*t**3 - 2*t**2 - 3*t. Let f be g(-1). Let a(l) = l**2 + 9*l - 1. Give f*j(r) - a(r).\nAnswer: -r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102670, -410816, -924392, -1643398?\nAnswer: -2567834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7384960 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2448) - 3*sqrt(2448) - sqrt(2448)) + 5 + sqrt(2448)*1 + sqrt(2448) + -3).\nAnswer: -8 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1800 divided by 45\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18382 divided by 3412\nAnswer: 9191\/1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156490 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -30*k**2 - 760*k + 208. Calculate the remainder when i(-24) is divided by 199.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 138, -460, -1642, -3606, -6550, -10672, -16170?\nAnswer: -23242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044359971 rounded to five decimal places?\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*b - 25299, -917*b - 4*o = -922*b + 42209. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1706 and -21\/499310374?\nAnswer: 499310374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5689240075 to the power of 1\/3, to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2705, 2704, 2703, 2702?\n\"Answer: -g + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 15, -25, -93, -195?\n\"Answer: -y**3 - 5*y**2 + 4*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (-19 - -40 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/4 - 0)*(-108)\/324. Let o = 0.16 + 0.04. Let w = 0.3 - o. Is w >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/37 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 4) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3223\/6290 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**2*s**3 - 26144*k**2 + 22*k*s**3 - k*s**2 + s**3 wrt s?\nAnswer: 30*k**2 + 132*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*a*d**4 - 10*a*d**3 - a*d**2 + 5*a - 2*d**4 - 307*d**3 + 1265 wrt d?\nAnswer: -1080*a*d - 60*a - 48*d - 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4 + 4384012\/16. Round s to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 - (71 - (-24 + 39))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 304879\/96 and 3176 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s - 566 + 558 + s - 15*s + 2*s. Determine h(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 30624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70*d**2 + 56*d**2 + 56*d**2)*(298*d**2 - 30*d**2 + 2*d**2) + 1 + 2*d**4 - 6 + 3 as f + p*d**2 + x*d + y*d**4 + z*d**3 and give y.\nAnswer: 11342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-2*sqrt(96)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615763?\nAnswer: 1615763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 11*b - 229. What is the least common multiple of x(-10) and 108?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.24 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-39)\/(-33) - 1225\/4620.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 3\/2, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002011 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5269 + 2.4731. What is the nearest to 2\/21 in 8, -1, x, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -792. Let d = 11 + -9. Suppose b = d*o + 61, -4*b + 5*o = 2*o - u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.7 - -4.3. Let d = y - 19. Which is greater: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/4 + 339*k**2 + 4055*k\/4 - 1353 = 0.\nAnswer: -1353, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180696, 75, -2 in decreasing order.\nAnswer: 75, -2, -180696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.814 - -1.186. Which is smaller: -58 or z?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26266 or 26264?\nAnswer: 26266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let t(q) = q**2 - 3*q - 3. Let i(v) = -2*v**2 + 8*v + 8. Let x(g) = 3*i(g) + 8*t(g). Let w be x(d). Solve -w*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**27\/(r*r**(3\/23)\/r))\/(r**(-2)\/(r**(-27)*r)) assuming r is positive.\nAnswer: r**(66\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**3 + 6465*v**2 + 2086575*v - 2093045 = 0?\nAnswer: -647, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((4 + -3 + -4*sqrt(1872) + -5)**2 + -4) + -3.\nAnswer: 768*sqrt(13) + 59925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407866 is divided by 1482.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-20))\/(2\/20). Let v be (-21)\/(s\/8*-3). Suppose 12*y + 8 = v*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l - 7. Calculate d(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247 - 409. Let o be -2 + (-1 - 7000\/44). Let i = o - k. What is the closest to -2\/7 in -4, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4690*k - 3354*k + 24132 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-10))\/((-3)\/2). Suppose -p*r = -123 - 81. Suppose 74*f - 73*f = 17. Calculate the highest common factor of r and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705435 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17171, -17210, -17249?\nAnswer: -17288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-6)*(-291)\/2. Let a be 92\/20 + (-2)\/(-5). Suppose a*r - i = 311. Calculate the greatest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 93. Let m be u\/(-16) - (-6)\/(-2). What is the closest to m in 4, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52396 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -78*h**5\/5 - 93*h - 8. Differentiate b(a) wrt a.\nAnswer: -312*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - 32\/130. Let b = 31.8 - 89.7. Let c = -58 - b. Put 7, f, c in decreasing order.\nAnswer: 7, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 - 7 = 0. Let b(r) = -r**2 + d*r**2 - 2*r**2 + 1 + 6*r. What are the prime factors of b(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4158*d**2 + 67*d - 105. Let g be k(5). What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4556308\/15 + 304042. Let h = k + -288. Let w = -2 + 2. Which is the closest to w? (a) 1 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34 + 2)*6\/8. Let l = t - 23. Suppose j = 6*j - l*f - 4, 2*j - 16 = -2*f. Solve j = 3*h - 2*x, -4*h + 4*x - 2 = -10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 30 = -2*r, -30 = -r + 5*g. Suppose -10 + 5 = r*x. Let p be 2 + 3\/((-2)\/(-2)). Put 1, p, x in ascending order.\nAnswer: x, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434.91 rounded to the nearest ten?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 158 = 174, -11*r = o + 436 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -12. Let j = 16 - q. Let r(p) = -4*p**2 + 5*p - 8. Let a(i) be the first derivative of -i**3 + 3*i**2\/2 - 5*i + 29159. Give j*a(w) - 5*r(w).\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (5 + 1 + sqrt(1100) - sqrt(1100)) + -3 + sqrt(1100) + 1 + -4)**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.3. Let z = 4 - 4.2. Let g = 3 - 3.2. Which is the nearest to g? (a) w (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1518*g**2 + g + 131 - 131 - 491*g**2.\nAnswer: -2009*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22241 - 1423381\/64. What is the common denominator of 13\/24 and v?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -52?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-313.\nAnswer: -71.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 1\/2*d**2 - d.\nAnswer: (d - 4)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-4)\/(-60)). Suppose 4*d = -3*f - 11, 23 = -y*f - 4*d + 2. Let a be (3 + -3)*(-2)\/10*-5. Sort 4, a, f in decreasing order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 1. Suppose w + q = 31. Let n = 33 - w. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4163*h + 24 - 117 - 4135*h - h**2 - 135 + 8329*h.\nAnswer: -(h - 19)*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-10)\/(-4 - 1). What is the third derivative of -13*q**4 - 1 + 7*q**2 + 0*q**4 + s wrt q?\nAnswer: -312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 25*b - 4. What is i(8)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1204 + -1197. Solve z + 16 = -f*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -2*g**6\/5 - 3*g**5\/20 - g**4\/6 - 3*g**3\/2 + 3*g + 6. What is the third derivative of u(b) wrt b?\nAnswer: -288*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 44 = 5*n, 0 = k - 2*n - 32. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2893599, 5787216, 8680833?\nAnswer: 11574450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n**4 + 21*n**3 + 20 - 15*n - 25*n**2 - 44*n**4 - 6*n**3 = 0. What is n?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, -4, -16 in decreasing order.\nAnswer: -0.2, -0.5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395 + 15387 = -1329*c - 17443 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-206)\/1236)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-72))\/(3\/18). Let q(t) = 18424990*t**2 + 18*t + 4. Let k be q(j). Round k to the nearest one million.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*j + j. Suppose -5*l + 6 = -j. What is the smallest common multiple of l and (-4)\/(-10) - 3\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -28*i**2 + 78*i + 23. Let o(r) = -13*r**2 + 40*r + 12. Let v(u) = -6*g(u) + 11*o(u). Find the second derivative of v(y) wrt y.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -58, -135, -248, -403, -606, -863?\n\"Answer: -h**3 - 9*h**2 - 13*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2069 + -2064. Let p = -1.75 + 2. Are p and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27444998599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6642, -26517, -59642, -106017, -165642, -238517?\n\"Answer: -6625*u**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 11*c + 18. Let v be x(9). Differentiate v - 5 - 14 - 12*z**2 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1978\/9 + 220. What is the closest to 4 in 0.5, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607252 is divided by 1135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212817943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4. Let k(l) = l + 3. Suppose 43*t - 98 = -270. What is t*k(v) - 3*y(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6 - -3) + (-2 - -6) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*s + 1180, -2*b - 3*s = -0*b - 491. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 31323 - 31323.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/43 + -45\/86. What is the closest to d in 5, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1558*y**3 + 0*y - 1078*y**3 - y**4 - 142*y**2 + 5 + y wrt y?\nAnswer: -24*y + 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178457600?\nAnswer: 2, 3, 5, 30689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 355, 4, -3, 1, 0, 2, 1865 in increasing order.\nAnswer: -3, 0, 1, 2, 4, 355, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 - 179 = 76. Calculate the highest common divisor of y and 1763.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372983 and 91?\nAnswer: 2610881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 283172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 64*b - 68*b. Sort -5, b, -18, -4 in descending order.\nAnswer: b, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-36)*-3)\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - 3\/(-6). Suppose 0 = -p*w - w + 13. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7094 - -14598. List the prime factors of c.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20885?\nAnswer: 5, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + -1 + sqrt(180) + 3)**2.\nAnswer: -567 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 51 - 41 = 0. Suppose -v = 2*b - i, 4*v = -b - 2*b + 37. Let g(n) = -3*n + 2. Let m(c) = -16*c - 1 + 10 + 1. Calculate b*g(l) - 2*m(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 308 = -10*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -28. Let n = h - -16. What is the least common multiple of (12 + -18)*8\/(-6) and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/7 + 114384*p**3\/7 + 1090193898*p**2\/7 - 2180730960*p\/7 + 1090422675\/7 = 0 for p.\nAnswer: -19065, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.61 - -1.51. Which is the smallest value? (a) y (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51523967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 20041 + 13159. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**(-39)*(i\/i**0*i)**(-2\/37))**(3\/2) assuming i is positive.\nAnswer: i**(-4341\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 156381\/8 (b) 9\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(3\/22)\/(h**(-29)*h**11) assuming h is positive.\nAnswer: h**(1983\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (203\/116)\/((-6)\/(-288)). Let t = -46 - -25. Let v be (-8)\/(0 - (-3)\/t). What is the greatest common divisor of v and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15437452 is divided by 1333?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 911, 31, -12, -40 in decreasing order.\nAnswer: 911, 31, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*v + 4391, 3 = 5*v - 2*v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14527 divided by 1.\nAnswer: 14527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/20)\/5 - (-9)\/2. Let v = -259\/3 + 85. Let f = 3.3 + -3. What is the nearest to p in -3, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14436958*r**3 - 18144436*r wrt r.\nAnswer: 86621748*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 6485*y**2 + 973175*y + 38957295.\nAnswer: 5*(y + 83)**2*(y + 1131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 + 393*b + 66. Calculate u(-39).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630354 and 18538?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -36970503.\nAnswer: 14\/36970503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03350009 rounded to 5 decimal places?\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -23. What are the prime factors of b?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1596 and 3249?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 11 = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129481882*f**2*s + 2*f*s - 173941*s - 1898 with respect to f.\nAnswer: -258963764*f*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (2\/13 - (-1795)\/585).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**3 + 49293*u**2 - 98598*u = 0.\nAnswer: -16433, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8309 by -2.\nAnswer: 8309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*2*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -22 + 6. Suppose -3 + 579 = a*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:13 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 - 166*u**3 - 2019*u**2\/2 - 1521*u = 0. Calculate u.\nAnswer: -3, 0, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**6\/6 + 3*i**5\/4 - 5*i**4\/6 + 8*i - 72. Let a(o) be the first derivative of k(o). Factor a(h).\nAnswer: -5*h**2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -r + 3*r. Let c(t) = 2*t + 71. Let a(w) = -2*w - 58. Let l(i) = -6*a(i) - 5*c(i). Calculate l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -7\/40*d**4 + 1\/350*d**7 - 4*d + 0 + 9\/100*d**5 + 1\/5*d**3 - 1\/40*d**6 - 25*d**2. Solve o(n) = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -147\/4. What is the biggest value in c, -4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 - 187*h**3\/3 - 5272*h**2 + 173137*h\/3 - 60060 = 0.\nAnswer: -44, 7\/6, 9, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224162 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 12*k + 27*k)*(-1590 + 1590 - 66*k**2).\nAnswer: -2178*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)*k*k)\/(k\/((k\/k**(3\/4))\/k)))**(-16)*(k**1*k)**(-9)*k**(-1)\/(((k\/(k**(-6)\/k))\/k)\/k) assuming k is positive.\nAnswer: k**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29962?\nAnswer: 2, 71, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 54*n**3 - 5*n**2 + 29.\nAnswer: 54*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*i. Find the third derivative of 0*x**2 + 82*x - 11*x**5 + x**i - 82*x wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let t = 4 - g. Solve t*u + 6 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(13*q - 38*q + 6*q)*(6 - q**2 - 6).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -549574 and -0.5?\nAnswer: 274787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:26 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m**2 + 65 - 7*m**4 - 13*m**2 - 4*m**3 + m**3 - 66 in the form p*m**2 + t*m**3 + n + f*m + x*m**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 10*m + 1. Let n be s(10). Factor 4*w**2 - n + 1 + 10*w**4 - 14*w**3.\nAnswer: 2*w**2*(w - 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7032750.6 rounded to the nearest 1000?\nAnswer: -7033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - s. Let w be k(-1). Suppose -2*q - i = w*i - 8, 0 = 5*q - i - 20. Solve -6 = q*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 4 - c)*(0 - 2*c + 0).\nAnswer: 2*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2838\/1935*(309\/(-24) + 8 - (-1)\/(-8))\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:10 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 29471*p**2 + 3*p - 29480*p**2 - 3*p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) + -2*sqrt(117) + sqrt(117) + sqrt(117) + sqrt(117))**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = 3*g - 39, -4*r - g + 60 = 0. Let z(i) = -472*i - 20. Let t be z(r). What is t rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145902649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1738*j**5\/5 + 63*j**2 + 4*j - 219. What is the second derivative of m(w) wrt w?\nAnswer: -20856*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*((sqrt(112) - (-1 + sqrt(112))) + sqrt(112)))**2 + ((sqrt(112) + (sqrt(112) + -1)*-4)**2 - sqrt(112)) - 2*(-1 + sqrt(112))*-4) + 2.\nAnswer: 132*sqrt(7) + 3847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + j + 2*j**3 + 0*j + 0*j - 4*j**3.\nAnswer: -6*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187778313?\nAnswer: 3, 61, 342037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. What is the closest to c in 0.2, -1, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4355 - 56617\/13. Which is the closest to 1? (a) -5\/2 (b) t (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 3*u**3 + 5514*u**2 + 3*u**3.\nAnswer: u**3 + 5514*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -678394922651?\nAnswer: 678394922650.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27 + (-4 - (-4 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69104, 69099, 69090, 69077, 69060, 69039, 69014?\n\"Answer: -2*h**2 + h + 69105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = -n - 6, -4*q = 0. Let x = -2 - n. Suppose -x*g = g - 175. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 0*k**2 - 5*k**3 - 2*k**4 + 0*k**3 + 2 + k**2 to the form m + n*k**4 + u*k**3 + r*k**2 + t*k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -33, -49?\n\"Answer: -16*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2314950.65 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004729331 to seven dps.\nAnswer: 0.0004729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.0499951. Round p to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + t**2 + 2*t. Let q = -8 + 6. Suppose 17 = 3*c - 13. What is the smallest common multiple of b(q) and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 1800.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -317\/2. What is the nearest to u in 1\/10, -1, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 4*w**3 - w**3 + 0*w + w**3 to the form r*w**2 + l*w**3 + i*w + b and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 30*a**2 - 31*a + 5. Let o be z(-31). Put o, 14, 7 in descending order.\nAnswer: 14, 7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.05 - 1.2. Let m = -0.65 - y. Let h be (25\/10)\/(175\/20). Which is the third biggest value? (a) m (b) 2 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - 187. List the prime factors of 1\/(s + 4 - (-2756)\/(-920)).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00230621 to five dps.\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2 - 7*y - 8. Let h be m(6). Let x be 10\/55 + 24\/h. Let d = -646\/7 - -92. Which is the nearest to d? (a) 0.3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/65832 and -7\/5343.\nAnswer: 9018984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389906761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8249648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612032 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2656 times -0.3\nAnswer: 0.07968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3567*d + 3457*d + 3080 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-9 - (5 - 9)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b843a - 12?\nAnswer: -3b844c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1193*u - 428 - 524 - 120 with respect to u.\nAnswer: 1193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8.84. Let n = 170 + -173.84. Let u = n - i. Which is the third biggest value? (a) 0 (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = -3*n + 70, 2*n + 2*i - 40 = 0. Calculate the remainder when 137 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23035689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*h = 22, -5*h - 1 = -c + 2. Let w = 14 + 52. Let a = w + -66.1. What is the closest to a in 2, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85167358 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 264*q. Let s be (-2 - 32\/(-20))\/((-1)\/5). Let x(t) = -5*t - 2*t + s*t + 9*t - 6*t. What is b(x(u))?\nAnswer: -528*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 13*z**6\/10 + 14*z**3\/3 - 42*z. Find the second derivative of g(i) wrt i.\nAnswer: 468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013961899 to 6 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 2, q: 12, w: 2}. Give prob of sequence tqa.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + -26 + 41 - (0 + 61).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Suppose 686 = -l*v - 262. Is 9 a factor of v\/(-27) - (-2)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 87 = -3*m, 5*k = 3*m - 0*m + 87. Let t = 42 + m. Solve -3*g - p = -5*g + t, 5*g - 34 = 3*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 + 0.04. What is y rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 29. Calculate the highest common factor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l - 39. Is o(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.314 and 0.08.\nAnswer: -8.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.8047903625307 from -0.2.\nAnswer: 13.6047903625307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -91. Differentiate -z**4 + 12*z**4 - j + 7*z**4 with respect to z.\nAnswer: 72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -21*w + 2. Let c be a(-2). Suppose 6*x = 4*x + c. Suppose r - 10 = 8. What is the lowest common multiple of x and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 84 = 63*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6127 and 0.06.\nAnswer: 0.036762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 11) in base 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1638 - 1634. Let m(b) be the first derivative of -4*b**2 + 26*b + 94. What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r - 9. Let t be b(9). Suppose t = 5*v + 92 - 407. Let l = v + 34. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/24 - 88\/(-33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as -285\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*-6*sqrt(66)*1)\/(-6*(sqrt(72) - (sqrt(72) - (sqrt(72) - sqrt(72)*1)*5) - sqrt(72))\/sqrt(12)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 765*r**4 - 195075*r**3 - 16581375*r**2 = 0. Calculate r.\nAnswer: -255, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 take away -17?\nAnswer: 16.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - (5 - 19 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 113.\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-486)*-21 + -9 + 56\/(-108)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m + 11. What is y(13)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -839, -1255, -1671, -2087?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*b + 570 = 0. Let p = b + 379\/4. Sort 5\/6, -3, p in ascending order.\nAnswer: -3, p, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 820022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*n - 4*j - 1, 0 = -2*n - 5*j - 3. Let c(q) = q**3 - 6*q**2 + q - 3. Let s be c(n). Suppose s*p - 94 = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 15 - ((-3 - -12) + 3) - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34824)\/(-24) + (-20)\/2. Let r = 1443 - p. Factor -1\/6*t**r - 169\/6 + 13\/3*t.\nAnswer: -(t - 13)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/3)\/3*(-1 - 4). Solve -l*a - 5 = -5*y - 0, 5*a + 12 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1012111201011?\nAnswer: 1012111201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127561 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 718601.\nAnswer: 718601.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r. Let a(g) = -8*g**2 + 3*g + 3. Let o(h) = 23*h**2 - 8*h - 8. Let q(v) = -8*a(v) - 3*o(v). What is i(q(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 771 - 34?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304840016 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -5*x + 0*x**5 + 0*x**3 - x**2 - 1\/15*x**6 + 1\/3*x**4 + 0. Suppose o(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 6*g - 4. Let r(v) = -16*v**2 - 31*v + 19. Let c(t) = -11*b(t) - 2*r(t). Let h = 32 + -31. Suppose -h = 6*w + 35. What is c(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*105\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -113. Suppose 6*j = 13*j + o. Let a(d) = d**3 + 14*d**2 + 20*d. What is the remainder when a(j) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 2416*k + 4824.\nAnswer: 2*(k + 2)*(k + 1206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b + 10a?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(-4*l**2 - 5*l**2 + 0*l**2).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3646, -5, 4, 324, 2.\nAnswer: -5, 2, 4, 324, 3646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-36) + (-2)\/(-9). Let c = 3 + n. Let g be ((-1)\/c)\/((-7)\/105). Sort g, 1, -5 in decreasing order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/21915349 and -149\/26178.\nAnswer: 131492094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119.5, 0.1, -2\/5, 1, -4.\nAnswer: -4, -2\/5, 0.1, 1, 119.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 - 3)) + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*s**2 - 5*s - 60*s**2 + 44*s**2 + 2 wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:33 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/3)\/((-2)\/72) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((c - c - 2*c)*(-803*c + 6 + 22*c - 6) + (-3 + 3 - 2*c**2)*(-1 + 1 + 1))*(-c + 4*c + c) to w*c**2 + m*c + q*c**3 + y and give q.\nAnswer: 6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441458 divided by 6?\nAnswer: -1220729\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 25. Suppose 5*d + u = -5*q, q - 8 = 4*d + 17. Is 12 a factor of (-2 - -4)\/((-1)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-30))\/(((-880)\/90)\/(-11))*-28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 15*o**2 - 15*o. Let k = -75 - -81. Let z(j) = 2*j**3 - 7*j**2 - 7*j. Give k*b(l) - 13*z(l).\nAnswer: 4*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -3012.\nAnswer: -3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5 - 19*w**3 - 5*w**3 - 4. Let y be z(-2). Suppose -3*t + y = -77. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = d - 16, -4*d - 22*g + 17*g + 42 = 0. Calculate the lowest common multiple of d and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -26 - 12) + (4 - 2 - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 11*k**3 - 4*k**3 + ((2*k + 3*k - 4*k)*(-3*k - 2*k + 0*k) + 0*k**2 - 2*k**2 + k**2)*(-4*k + 2*k + k) as w*k**2 + y*k**3 + b + v*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-10)\/2))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3925 minus 46588?\nAnswer: -50513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*6\/(36\/21). Let k(u) = 11*u + 11. Let d be k(9). Let z = 215 - d. Calculate the greatest common divisor of q and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2487951, -4975901, -7463851, -9951801, -12439751, -14927701?\nAnswer: -17415651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + 3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/10 - h**4\/2 + 4*h**2 - 8*h. Factor q(n).\nAnswer: -2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291800 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 4*t - 10, -5*r + 27 = 3*t. Let q = -65 - -69. Solve -4*s + 4 = -5*i, -q*s = -s - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*y - 727, -3*y + 1088 - 20 = 3*d. Calculate the lowest common multiple of 450 and d.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 13*i + 14. Determine q(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhihthfhhaihht. Give prob of sequence hhft.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20300 + 20305. What is the nearest to 0 in 1\/4, -2, 167, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164678?\nAnswer: 2, 82339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46626360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2965*z**3 - 11*z**2 - 5*z - 8. Let j be u(-7). Let s = j - 606483. What is s rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(7920))\/(sqrt(33)\/sqrt(12)))**2 - (-4*sqrt(5)*-2 - (sqrt(500) - (sqrt(500) + sqrt(500) + -4)**2))) + -5.\nAnswer: 162*sqrt(5) + 9499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3, 1595, 2, -1, -4, -2 in decreasing order.\nAnswer: 1595, 23, 3, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/7 - 15412*g\/7 + 29691218\/7 = 0?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/15 + 3*z**2. Let x(k) = -k. Determine x(g(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131994 divided by -43998?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220239?\nAnswer: 7, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*u + 3 = 0, -5*n - u + 4*u = -24. Let i be ((-531)\/36 + 13)*2\/(-42)*0. Solve -4*l - n*q - 32 = q, i = -2*l + 4*q + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**4 - 2071*y**2 - 6029 with respect to y.\nAnswer: 8*y**3 - 4142*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, v: 1, p: 2}. What is prob of sequence vp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - g = -4, 0 = -5*f - 23*g + 25*g - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11568463, 11568485, 11568567, 11568739, 11569031?\n\"Answer: 5*s**3 - 13*s + 11568471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 58. Suppose -11*d + 2382 = 281. Let c = d + -168. Is c greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*a = -153*a - 65. What is the remainder when 584 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*g + 166, -4*g + 61 = -4*z - 67. Let d = g + -25. Suppose d*x - 77 = 475. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d)*(-d**4 + 0*d**4 + 0*d**4) - 3*d**5 + 0*d**5 + d**5 + (-3*d + 3*d - 2*d**2)*(-4*d**2 + 4*d**2 + d**3) - 3*d**5 + 3*d**3 - 3*d**3.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 0 (c) 1\/53 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {g: 10, z: 4, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/c)**42*(c*c**(1\/4)*c)\/(c\/c**2) assuming c is positive.\nAnswer: c**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 j when four letters picked without replacement from {j: 3, o: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*(z**(11\/3)*z)\/z*z)*z**(-2\/5)\/z*(z\/z**14)\/(z\/z**(-6)) assuming z is positive.\nAnswer: z**(-391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:11 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 2*h + 22. Let u be g(0). Suppose -17*d - 20 = -u*d. Calculate the remainder when 19 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-72)\/40 + (-2)\/(-1)). Calculate the remainder when (y - -81)\/(2\/6) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Suppose 4*b = 3*f + 17, 4*f = -7*b + m*b - 2. What is the least common multiple of b\/5 + (-32)\/(-20) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x + x. Suppose 1 = 4*l - 63. Solve -2*a = x, 3*p - 5*a + l = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 13156.\nAnswer: 39468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/6*n**2 - 5 - 35\/6*n.\nAnswer: -5*(n + 1)*(n + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/238 + (18888\/(-21))\/(-4). Calculate the common denominator of -12\/11 and 32\/(-176) - p\/1606.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(0 - 1 - 8)*(3*q - 2*q - 2*q) as l + t*q and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blqbqlqlmmalqmmqbmlb. What is prob of sequence am?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 18*g**2 + 31*g - 11. Suppose 4*i + j + j + 72 = 0, -3*i = j + 52. Determine l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 41 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31212*a**3*m + a**3 - 2*a - 1149 wrt m?\nAnswer: 31212*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 1, b: 2, o: 3}. Give prob of sequence pbo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3749999 (base 12) to base 10\nAnswer: 10799685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12691?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172 and -104.6334536237.\nAnswer: -276.6334536237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29468 is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/292 and 43\/803.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-363)\/(-75) - 5)*15\/(-2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 3*g - 21, -l + 4*g = -186 + 191 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521510 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 62 + 42. Suppose s*u + 2*y = -60, -u + y - 1 = 4. Is u equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -92, -2, 1 in descending order.\nAnswer: 3, 1, 0, -2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42913744 or 42913743?\nAnswer: 42913744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3142441 + 31?\nAnswer: 3143022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.01 - 0.01. Let s = 15\/4 + -13\/4. Let a = -0.2 + 0.3. What is the closest to a in k, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (2 - (13 + -1)). What is the smallest common multiple of 8 and i*(1 - 14\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(176)*-1)**2 + (2*(sqrt(891) + (sqrt(891)*-1 - sqrt(891))))**2.\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2)*k*(k**(-2)*k*k)\/k)**(15\/2)*(k**4*(k**(-3)*k)\/k)\/(k*(k\/(k**(-1)\/k)*k)\/k)**(-2\/49) assuming k is positive.\nAnswer: k**(-621\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(891) + 4*(2 + sqrt(891)))*-2)**2.\nAnswer: 1440*sqrt(11) + 89164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 5. Let p(i) = 0*i - 5 - i + 5*i + 1. What is the remainder when z(9) is divided by p(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 6\/7)\/(2\/(-7)). Put 52, 5, v in ascending order.\nAnswer: v, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 = -172*p + 709 + 1317 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 144374092, 144374091, 144374090?\n\"Answer: -v + 144374093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 14) in base 9?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297076 is divided by 402.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*y - 356*y + 88704 = 59*y for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -273*l**2 - 6*l + 3. Let r(z) = -18560*z**2 - 406*z + 203. What is 406*o(t) - 6*r(t)?\nAnswer: 522*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (-2 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467 - 466 - (-29 - (7 + -17)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95176.92 and 0.05.\nAnswer: 4758.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (11 + 3) - (-30 + 5)\/5)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orhra. What is prob of picking 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8) + (36 - 21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 2 (b) 43 (c) -1 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 476\/(-51)*6\/(-2). Suppose -b = 14*z - 0. Is (-1)\/((-6)\/(-31308)*z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -22*g + 1. Let u be o(-2). Let f(b) = b**2 + 45*b + 509. Let l be f(-21). What is the greatest common divisor of l and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:04 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.861 - 39.861. What is the smallest value in -2\/3, 2233, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:17 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 57\/(-4). Let d(l) = -4*l**2 + 7. Let c(t) be the third derivative of t**5\/60 - t**3\/3 + 21*t**2. Calculate j*c(a) + 4*d(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 45. Let q = 27.084 - m. Round q to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2973036 is divided by 15984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 26*f + 78, 3*r = -2*f - 345 + 191 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4 - 5 + 0. Let z(o) = -o. Let y be z(4). Let q be 6*-1*2\/y. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d\/d**(-4))\/d)*d\/(d*d**(-4\/13)*d))\/(d**(-1\/4)\/d*d)**(-41))**41)**(-2\/53) assuming d is positive.\nAnswer: d**(29725\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2344130041?\nAnswer: 2344130042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 22. Let j(w) = 14*w**2 + 12*w - 12. Let f(i) = i**2 + i - 1. Let l(v) = 12*f(v) - j(v). Determine l(q(g)).\nAnswer: -8*g**4 + 176*g**2 - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*x**3 + 77*x**2 + x wrt x?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 - 13*j - 27. What is t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9301.404l?\nAnswer: 9301404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 31*p. Let b(q) = 6*q - 3*q - 4*q**2 + 3*q**2 + 301. Is b(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 312*v - 328*v - 16. Let t(y) = -9*y**3 + y + 1. What is t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(104))\/(sqrt(648)*2) + (sqrt(143)*1*3)\/sqrt(11) + -5)**2 + 3.\nAnswer: -280*sqrt(13)\/9 + 12460\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14152 is divided by 834.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*9\/36*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.346962747 to 2 dps.\nAnswer: -4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1123339339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17666, -35260, -52854?\n\"Answer: -17594*n - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 40 = 4*g, 3 = -3*g. Suppose 15*d - 17*d = -168. What is the greatest common factor of d and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 413.7752 hours?\nAnswer: 1489590720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-4 - -2) + -2) - (43 + -14 + -39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 126\/147*42\/(-18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z + 35. Calculate k(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-6)*l**(1\/10) assuming l is positive.\nAnswer: l**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 11*h**2 - 31*h + 389. Calculate s(15).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/12))**(2\/27)\/((p\/((p**15\/p)\/p))\/p**(-1\/9)))**(-19) assuming p is positive.\nAnswer: p**(-36841\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:20 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39979*i**2*y**3 - 2*i**2 + 28697*i + 2*y**4 - 2 wrt y.\nAnswer: 119937*i**2*y**2 + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.002 (b) 0.2 (c) 0.9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*d = -4, -6*a + d - 32 = -a. Let c be a\/2 - 9\/6*-2. What are the prime factors of (-2)\/5 - ((-57)\/5 - c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(77) + (sqrt(77) - (sqrt(77) - 2*sqrt(77))) - sqrt(77)))\/(sqrt(175)*-1) + 3)*6.\nAnswer: -24*sqrt(11)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863691639?\nAnswer: 827, 2253557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3509684, -3509715, -3509746, -3509777?\nAnswer: -3509808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*o + 26*o - 13*o - 2*o + 0 + 0 - 3*o + 0*o + 4*o + 2*o + 3*o - 6*o + (-1 + 0 + 3)*(3*o - o + 0*o))*(-549 - 463 + 1099) to z + u*o and give u.\nAnswer: 3567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/153 and 22\/77*2 - 2*(-62)\/(-21)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 7\/2)*-4. Suppose c*g = -g. Suppose -l - l + 2 = 0. Sort 4, l, g in increasing order.\nAnswer: g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + -14?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005960686 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000520193 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 596*b - 8. Let j be g(1). Let u(c) = -13*c - 1. Let w be u(-1). What is the greatest common divisor of j and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169881822 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 12*v - 10. Determine g(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138589\/7 + 19798. Which is the closest to -2? (a) u (b) 0 (c) 0.08 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 30004. Is k\/(-22) - 3 - 4\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165.07165 rounded to zero dps?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**9\/1680 + y**5\/4 + 35*y**4\/24 - y**3\/3 + 17*y**2 - 1. Let f(c) be the second derivative of i(c). Differentiate f(o) wrt o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4) + (-27 - (0 + 5) - (10 - 7)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 + 2. Let q be 8 - (4 + -3 + 0). Let p(f) = 4*f - 5*f + q*f. Calculate n(p(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-144) + -1 + 154\/112)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 13*h**2 + 10*h - 22. Let o be p(-12). What is the smallest value in 4, 3, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 48 - (11 + 50).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 361489.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 12:49 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Let l be (-1)\/(f + (-46)\/44). Solve -5*s + 2 = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.5 and 0.06.\nAnswer: -14.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**7\/210 - a**5\/30 + a**3\/6 + a**2\/2 - 2. Let x(d) be the second derivative of j(d). Factor x(v).\nAnswer: (v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 10. Suppose y = 2*x + 3. Let a(g) = 16*g**2 + 2*g - 2. Let s be a(x). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001101100111110 (base 2) in base 14?\nAnswer: 621c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = -u + 1, 0 = -m - u - 17. Let t = m + 7. Let i(r) = 5*r**2 + 0*r**2 + r**3 + 2 + 2. Determine i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + -107. Let v = n + 134. What is the smallest common multiple of 7 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2 = w. Calculate the least common multiple of w and (-25)\/(1350\/189)*-4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*h - 277*h = 2980 - 7764 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-9 - 2) - (2 + -11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.94735 centuries to years.\nAnswer: 6394.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 + 4\/5*m - 1\/5*m**2.\nAnswer: -(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4. Suppose 7 = -5*k - 13. Let a(i) = -i - 11. Let m(f) = k*a(f) - 11*b(f). Let c(g) = g. Give m(c(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Suppose s + 12 = -3*t + 5*t, -12 = -2*t - 5*s. Suppose t*p - 10 = p. Let l(u) = -2*u + p*u - u. Calculate l(h(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 3, 16, 836, 0.3, 1\/4, -23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25286894.5 rounded to the nearest one thousand?\nAnswer: 25287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18720628.\nAnswer: 2, 743, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -436 - -1254. What are the prime factors of n?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-9 - 2) + 1). Let t be -1*(2 + j\/(-1)). What is the first derivative of 2 + 3 - t - w wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/120 + 7*l**5\/15 - 2*l**4\/3 + 4*l**3 + 44*l**2 + 1. What are the prime factors of y(-28)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36191\/5298 + -2\/883. Let n = 25553\/6 - 4284. Calculate the common denominator of f and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -643*r - 1436*r - 1212*r + 741*r - 2 to g*r + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -17. Let h(j) = r - 2*j**2 + 2*j**2 + 9*j + j**2. Let q be h(-8). Put q, -2, 4 in descending order.\nAnswer: 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -168.848?\nAnswer: 337.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:47 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189665.\nAnswer: 5, 7, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7*k - 4. Let h = -147 + 258. Let c = -85 + h. Suppose 65 = 13*w - c. Calculate y(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*f - p - 0, -4*f + 14 = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4 = 12*y. Let w be 3\/2*(-10)\/(-15)*y. What is the remainder when 207 is divided by -1*(-4 - w - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3 + 7*q**2\/2 - 7*q - 2. Let a(d) = -4*d**2 - 5*d + 5. Suppose -p - 4*p - 25 = 0. What is p*z(c) - 7*a(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727800533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*m**3 + 157932*m**2 - 70144*m + 7792 = 0. What is m?\nAnswer: 2\/9, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17256138 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j + 21*j - 10*j + 14*j - 13. Suppose 0 = 2*z - n - 9, n = 5*z - n - 22. Is y(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827096214 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.519956527 rounded to 3 decimal places?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -22*h - 1049. Give m(-45).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*b + 54*b - 1185. What is the remainder when b is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53845 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56, -68, -80?\n\"Answer: -12*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16171 - 16175. Put 0.2, -0.5, o, 14 in increasing order.\nAnswer: o, -0.5, 0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 4683 = 4602 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179870 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13864108?\nAnswer: 2, 1259, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340315 is divided by 2239?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.923 and 7282852.\nAnswer: 7282849.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-6*-2*sqrt(104) - sqrt(104)) + sqrt(104) - -6*sqrt(104)*1)*1)\/(2*(sqrt(72)*-2 - sqrt(72)) + 3*(sqrt(72)*-2 + sqrt(72) - sqrt(72))).\nAnswer: -sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -243551 + 243556. Factor -6*i**4 + i - 5\/3*i**h - 22\/3*i**3 + 2\/3 - 8\/3*i**2.\nAnswer: -(i + 1)**4*(5*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 + 435. Solve -7*z = z - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 plus 1067227?\nAnswer: 1067227.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - 3. Let v = 60 + l. Solve -v + 1 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3274)\/(0\/1 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5\/3 + 49345*l**4\/3 - 22859200*l**3\/3 + 862776320*l**2 = 0.\nAnswer: -10317, 0, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 100794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24412000 (base 5) to base 12.\nAnswer: -b23b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8)*2 - 2051\/(-14). Suppose -w = -9*v - 2. Differentiate -4*s**2 + 429*s - 429*s + v with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/12 - v**2\/6 - 40. Factor k(u).\nAnswer: u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(-3*v - 2*v + 3*v)*(-7*v + 2*v + 2*v)*(-v + 20*v - 2*v).\nAnswer: -102*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/((z**24\/z)\/z))\/z)*z*z*z**13)**(-14) assuming z is positive.\nAnswer: z**(-532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.372 - -11.1. Let t = -0.172 - w. Which is the closest to -1\/2? (a) 5 (b) t (c) 9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 129*c**2 + 2*c - 1. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 6. Let o(y) be the third derivative of y**5\/60 - y**4\/6 - y**3\/2 - 2*y**2. Let a be o(6). What are the prime factors of c(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.4 (b) -10.27 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -3 in descending order.\nAnswer: 5, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*-1*sqrt(95) - sqrt(95)*-2*5)\/(5*-1*sqrt(720) + -4*sqrt(720)*-2).\nAnswer: -3 + 7*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -759543*t + 127337 wrt t.\nAnswer: -759543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105077 or -3362497\/32?\nAnswer: -105077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most -3746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let h(s) = 8725*s**2. Determine l(h(k)).\nAnswer: 152251250*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 19260 = s + 2*s - 0*r, 0 = -4*r. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7805*p**4 + 8380*p**2?\nAnswer: 187320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6 - 2272638*j**3*s - 275704*j**2*s + 6*j*s wrt j?\nAnswer: -240*j**3 - 13635828*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644064535.\nAnswer: 5, 43, 61, 49109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -1)\/(9\/24). Let f be (-132)\/(-12) - v\/(-2). Suppose -8*x + f*x + 56 = 0. What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-54)*384\/64\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 divided by -3?\nAnswer: -1825\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**5 - 696*i**4 + 7868*i**3 - 14760*i**2 - 23328*i = 0.\nAnswer: -1, 0, 4, 9, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 10547*d - 10542*d = -39, 0*c - 3*d - 25 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8784 and 17568?\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 329 = 9*q, 5*q = 382811*i - 382808*i - 177 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 957 = 993. Find the second derivative of -16*p**2 - 194*p**4 + 25*p**2 + 2 - 9*p - f*p**2 wrt p.\nAnswer: -2328*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + w + 60 = 37*q, 2*w = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05671, 0.3, 4.\nAnswer: 0.05671, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, -68 in increasing order.\nAnswer: -68, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1665 and 72?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 24*u**3 - 23*u + 21 + 21 - 40 + 40*u**3 to the form d*u**2 + o + b*u**4 + v*u + m*u**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/12))\/(g\/(g\/g**19)))\/(g**1*g*g)**(2\/17))**(1\/6) assuming g is positive.\nAnswer: g**(-3761\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 1. Is l(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 12.72. Let h = -94 + 94.43. Let t = o + h. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61845 and 10983.\nAnswer: 32344935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -12 + 1\/80*o**5 + 10*o - 1\/16*o**4 - 3\/8*o**3 - 5\/8*o**2. Factor v(p).\nAnswer: (p - 5)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116\/(-18) - (-80)\/180. Which is the closest to 0.1? (a) j (b) -11 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-9 - (4 + -16)) + -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 7}. Give prob of picking 1 h and 2 r.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2. Suppose -5*z + 2*d + 38 = -72, -88 = -4*z + 5*d. Suppose -14 = -4*n + u + 5, 4*n - z = -2*u. Let y(w) = -n - w + 5 + 0*w. What is y(b(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 7*t**2 + t + 5. Determine a(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 + 7*i. Suppose 5*g + 1 = -4. Let x be (0 + (g - -15))\/(-2). Let l be f(x). Solve 5*d + l*s - 5*s = -10, 0 = d + 4*s - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/5 + 6\/2. Let s = -44.6 + 44.6. Put 4, 0.2, s, t in ascending order.\nAnswer: t, s, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -3) + 2 + (16 - -20 - -24).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -26, -22, -18, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05546549657 rounded to three dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 26 - 28 - 2*x + 0 - 2171*x**2 to the form k + l*x**2 + s*x and give l.\nAnswer: -2171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 = 4*x + 3*v, -370*x + 368*x - v = -327. Suppose j - 3*j = -80. Calculate the greatest common divisor of x and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2. Suppose -5*n + 8 = -3*n. Let j(g) = -n*g**2 + 3*g**2 + 0*g**2. Give -a(y) + 2*j(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 1, n: 2, r: 1, p: 2}. Give prob of sequence rin.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14 and -35\/27684.\nAnswer: 193788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*h + 167 - 49 = 0, 4*s = 2*h + 252. Suppose s*w = 47*w. Solve u + 2*r + 5 = w, -4*u + 5*r = -28 - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5099956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 8*c - 4. Let t be m(-9). Let q be (-15 - (1 - 1))\/(-3 - (-1932)\/667). Calculate the highest common factor of q and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-62)\/2 + 8\/2. Let o be (-286)\/(-6) - 9\/f. Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.411 (b) -3 (c) 0.05 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 - -212. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o - 2. Let r(f) = f - 5. Let t(s) = -2*s + 12. Suppose 8*w + 4*g = 3*w + 44, 3*w - 3*g - 48 = 0. Let j(x) = w*r(x) + 5*t(x). What is p(j(n))?\nAnswer: -14*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454987397.\nAnswer: 2221, 204857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - d8b4?\nAnswer: -d8b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(-2*(2*(1 + sqrt(17)) + sqrt(170)\/sqrt(90))*2)**2 + 3 + -4.\nAnswer: -13886\/9 - 448*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 719 - 472. Calculate the greatest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 + -1045\/7. Let p = 9 - 4. Let y = 21\/4 - p. Which is the third smallest value? (a) w (b) y (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -284.9 and -5.\nAnswer: 1424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 0*d + 1 - 2 - 2 - d to x*d**3 + h*d**2 + q*d + b + l*d**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36443 - 36440. Which is the nearest to -29? (a) j (b) 5 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3 + (-3 + 6 - 1)*(4 - 2 - 4) + 0 + 0 - 3)*(-5 + 15*k + 5).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2122068 millennia?\nAnswer: 21.22068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**2\/2 + 2*t + 2. Let u be j(0). Let 1\/3*i**3 + 0*i**u + 0 - 1\/3*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 24. Solve -f = 3*f + 2*j - a, 3*j = -3*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Suppose -2*b - b + m = 0. Let o(c) = -c + c**b - 2*c - 3*c + c. Give o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -74. Let z = g + -26.01. What is the second smallest value in -1\/2, 1\/4, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -22 - (1 - 1)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14850 and 13500?\nAnswer: 148500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 - 7*u**2\/2 + 4*u + 6. Let w be h(7). Find q, given that 0*q**3 - 2*q**4 + 2*q**w + 4*q**2 + 10*q**4 - 14*q**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3536.994 decades to years.\nAnswer: 35369.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8) - 0)\/(-48 - 14573\/(-304)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v - 6. Let o be a(-8). Suppose 2*x + 3*b = -16, 3*b + 26 = -2*x - o*x. Let k(m) = -6*m + m**2 + 92 + m**3 - 94 + 3*m**2. Calculate k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569.85 rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 + -211.1. Let v = z - 16.7. Let x = v - -6.800412. What is x rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1, 13, -225 in ascending order.\nAnswer: -225, -66, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -264627 + -12?\nAnswer: -264640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 850*t + 5. Let b be w(1). Suppose -3*h - h + i + b = 0, -3*i + 217 = h. What is the remainder when h is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 - 118. Suppose 2*d - 53 - 3 = 0. Let f = 9 + -6. Solve f*v = n*r - d, -3*r + 2*r = -v - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 649.096nm?\nAnswer: 0.000000000649096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8 - 0 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1)*4 + 3 + ((sqrt(190)*2)\/sqrt(10))**2 - 4*((-1 + sqrt(19))*-1 + sqrt(19))*3*6.\nAnswer: 3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from tskssssktkss?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 7*f**2 - 3*f + 5. Give z(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.7 and 492?\nAnswer: -14612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/2)\/z)*z)\/(z\/z**(-19\/3)) assuming z is positive.\nAnswer: z**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 1, a: 5}. What is prob of sequence aaue?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 138, -88, -314, -540, -766?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11812 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*m + 0*m - 18 = 0, 2*s - 3 = 5*m. Suppose -s = j + 3*y, 4 = -5*y - 6. Solve 0 = 2*o + 4 - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79693\/33 + 2415. Which is the nearest to 1? (a) -5 (b) n (c) -2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 386, 774, 1162, 1550, 1938?\n\"Answer: 388*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 282410941*c - 48 - 282410941*c.\nAnswer: 2*c**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2911 - 5*g + 2911.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(72\/12)*-5. Solve 2*x - k = -5*t, 3*t - 4*x = -14 - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/512 and -33\/80.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -87. Suppose g = k - v*g - 24, 0 = -5*g - 20. List the prime factors of 8*1*1\/(k\/285).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201709 by 346.\nAnswer: -201709\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c - 8. Let r be x(0). Let n = -1 - r. Solve n*g = 3*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15195559 and 8164?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87.3 and 67593969.\nAnswer: 67594056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18 and 3\/(-10) + (-11)\/(-44)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l - m - 20 = 0, -l + 2*m = -4. Suppose 0 = 2*i + l*z + 113 - 991, 2*i - 4*z = 862. Does 20 divide (i\/5)\/(-1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.557*-31126.7\nAnswer: 79590.9719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/48*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/2 - f**3\/2 - 3*f**2\/2 + 62*f. Give t(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 6665*w**4 + 2023655*w**3 - 131173825*w**2 + 2237066000*w - 8163122500 = 0. Calculate w.\nAnswer: -695, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151\/87 + -31\/29. Sort -0.5, r, 1, 16\/15 in descending order.\nAnswer: 16\/15, 1, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/14 - (-243)\/21. Suppose 0 = v*k - 3*k + 112. Let c be ((-7)\/k)\/((-2)\/4). Sort c, 0, -4, 4.\nAnswer: -4, c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/12)\/((-3)\/(-2)). Let j = h - -4\/9. Which is the third smallest value? (a) j (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201122020 (base 3) in base 2?\nAnswer: 11011111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - 8*(-14)\/112?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3807*l**2 - 96*l**3 + 3808*l**2 - 29*l**3.\nAnswer: -125*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.06 (c) 5 (d) 0 (e) -0.1 (f) 464.289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -5*z, -4*j - 4 = 2*z + 3*z. Let b be (-4)\/(-6) + z*1\/3. What is the fourth biggest value in b, 0.07, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (12 + -26)) + (-19 + 4 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/378 - (-11)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1721.97.\nAnswer: -3443.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*t - 100*t + 0 - 1)*(-3 + 2 + 0)*(-4 + 3 + 3)*(5 - 2 + 27).\nAnswer: 900*t + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/96 + d**5\/4 - 35*d**4\/32 - 245*d**3\/12 + 2942*d**2. Factor g(c).\nAnswer: -5*(c - 7)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - -1) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 6)*-76*((-210)\/(-20) - 11).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 10, r: 4, h: 5, f: 1}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -656 or -21635\/33?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -9937129\nAnswer: -8\/9937129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -95 + 88 + n**2 + 33*n - 33*n. Determine k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2 + 2 + 0*j + 0*j + j + (3 - 3 - 2*j)*(1 + 0 + 0) - 2*j - 3 + 3 + 3*j - 2*j - 3*j - 33*j - 25*j + 102*j - 2.\nAnswer: 37*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/143 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/133)\/(c**(-4)\/c)*(c*c**(4\/3)\/c*c*c)**(-45) assuming c is positive.\nAnswer: c**(-19287\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 161*t = 157*t + 58, -2*t + 16 = -5*x. Let n(c) = -3*c**3 + c**2 - 1. Let a be n(-1). Solve x*v + 2 = a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 544 = -1619. Let f = h + -153. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12730 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1695071 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*((3 - 3 - 2*y)*(-4*y + 4*y - y) + (-2*y + 1 - 1)*(4*y - 5*y + 3*y)).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 9:36 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 51 = 4*g + d, d = 3*g + 157. Let k = g - -67. Suppose -5*h = 43 - 118. Are h and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 497 from 5007.\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let z(t) = -39*t**2 - 3. Let q(n) = -41*n**2 - 2. Let b(o) = -o**2 - 3*o - 3. Let c be b(-3). Let w(g) = c*q(g) + 2*z(g). Calculate w(l(m)).\nAnswer: 180*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 464481548.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**4\/3 + 364088*h**3 + 436904*h**2\/3 = 0. Calculate h.\nAnswer: -109226, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -2926109.5.\nAnswer: -2926109.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-6 - (0 + 20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.1. Let m = 5 + -5. Let z = 0.5 - m. Which is the closest to h? (a) -2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -305*d**3\/6 - 25*d**2 - 2*d + 56. Let n be u(-10). What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from bebbbezceqbzbzq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 2\/9, -1\/3, 0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3434 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.9 + -17.1. Let a = f - -69. What is the nearest to a in -0.3, 3\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 21*y + 26. Give n(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12993, 52147, 117401, 208755?\n\"Answer: 13050*m**2 + 4*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 100*q + 449. Calculate z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 11*j - 338. Let v(y) = y**3 - 5*y + 168. Calculate -4*t(n) - 9*v(n).\nAnswer: -n**3 + n - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 128. Suppose -2*x - 2*x = -t. Calculate the smallest common multiple of x and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.12 + 46. Let n = -4.98 + i. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 20. Let b = 3216.0024 - 3199. Let c = b - k. Round c to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 142 - 1903 = 0. Suppose 260*u - 8422 - 2796 = -298. What is the remainder when s is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 55339570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(4 + -2) + 30. Let l = a - 17. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 105. Let v = 73 - -32. Calculate the highest common factor of p and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -223. Suppose 2*s - i = -2*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:38 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114542, 114541, 114540, 114539, 114538, 114537?\nAnswer: 114536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 - 22*d**4 + 2*d**3 + 22*d**2 = 0 for d.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.84 - 0.74. Put -2, q, -0.1, -2\/7 in ascending order.\nAnswer: -2, -2\/7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1034 times -14704\nAnswer: -1520.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5569602 is divided by 5569587.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316289*y**2 - 203246 wrt y.\nAnswer: 632578*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6048701 is divided by 9407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d + 21. Let u(g) = 16347*g**2. What is r(u(q))?\nAnswer: 277899*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/10 + 68*j**4 + 433*j**3\/3 + 7*j - 334. What is the second derivative of n(b) wrt b?\nAnswer: 12*b + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 5. Let n be z(2). Suppose -5*f + n = -5. Solve 0 = l + f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 100244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 1:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24047981 to the power of 1\/2, to the nearest integer?\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/30 - -1\/10. Let c = -2 + 1.96. Let b = c - -1.04. Sort b, -0.3, t in descending order.\nAnswer: b, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -452, -123, 224, 595, 996?\n\"Answer: a**3 + 3*a**2 + 313*a - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -11\/4, -13, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.074 - 0.006. Which is the closest to 0? (a) q (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212222221220 (base 3) to base 16.\nAnswer: -7352a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13285876, 26571763, 39857654, 53143549, 66429448?\n\"Answer: 2*t**2 + 13285881*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 5*w + 4*w)*(4*w**2 - 2*w**2 - 4*w**2) + w**3 + 3*w**3 + 0*w**3 + 2*w**2 - 3*w**3 - 2*w**2.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*j - 3*t + 7, -5*t = 5*j + 20. Let x = j + 3. Suppose -x*f + 14 = -0*f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*y - 22, -4*y - 3*j - 55 - 4 = 0. Let m = 29 + y. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -20*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*s - 3*b, s + b + 319 = 6*s. Suppose -25*i + s = -4*i. Suppose 7*g - 3*g - 24 = 0. What is the least common multiple of i and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -17, -12, -7, -2, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b85f4 (base 16) in base 11?\nAnswer: -22248a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-f - 4 + 4) + 5*f - 5*f + 5*f - 2 - 2*f + 2 - 48*f - 28 + 28 + 3*f - 3 + 3 in the form c*f + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 1. Calculate c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 - 3812\/15. Let a = 0.3 - 0.2. Put a, g, 1 in descending order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + u + 4*q = 35, 0 = 5*u + 4*q - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491489283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58908115 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1434 and 31\/1506.\nAnswer: 359934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) 42 (b) 2 (c) 4 (d) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3\/(-3)*-1. Is (-3)\/h*(-26920)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*l + 99, 4*v + 5*l = v + 217. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 5, q: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 29540.45 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwggw. Give prob of sequence gg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m. Let d(j) be the second derivative of -9*j + 0 + 0*j**2 + 1\/3*j**3. Determine p(d(v)).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/45*6408\/179780?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 9)\/((-29)\/(5075\/(-150))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 36*g**2 + 2*g - 23. Let s be i(18). Let j(z) = -z**3 + 14*z**2 - 10*z - 8. Determine j(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:35 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3 and -59\/663.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose -4*g = -2*i - 4, -g = 2*i + l*i - 19. Let u be (7*(-2)\/(-21)*6 - 6) + 2. Which is the closest to 1? (a) i (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290385123.054985499 - -4975164.054985599. Let r = d + 285409972. Let q = -13 + r. Round q to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let r be (-2)\/(-4)*(-4)\/(-9). Let x = -221\/235 + 16\/47. Which is the nearest to 0? (a) r (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 - 4*q + 2. Let x be d(4). Suppose -3*w + 4*w = -22. Let r = x - w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 19. Let u(h) = h**3 + 8*h**2 - h - 5. Let b be u(k). Factor -r**5 + 3*r**b - 5*r**3 + 3*r**3.\nAnswer: -r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 146 = r - 3*r, -5*r = -3*d - 363. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.1 - -6.77. Let m = -2.67 + b. What is the closest to 0 in 0.1, 0.4, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*v - 1145 - 155 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i - 27 = -50*i. Solve -5*b - 41 = -3*z - i, 5*z + 5*b = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 2*n, 3*u - u - 3*n = -6. Let c = -46 - -54. What is the remainder when c is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/98 + (-57)\/(-7). Suppose r*q - 64 + 16 = 0. Suppose q*g = -21 + 465. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(16)\/sqrt(4)) - sqrt(112) - (3*((sqrt(56)\/sqrt(4))\/sqrt(2) - sqrt(7)) + 0))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.9. Let t = 9360.9 - 10508. Let d = 1147 + t. Which is the closest to z? (a) d (b) 0.1 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 = 3*x, -68 + 29 = -13*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -8*o - 423. Suppose -2*x = 3*f - 90, 4*x + 3*f - 196 = 5*f. Let j = o + x. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**9\/181440 - z**8\/20160 - z**5\/2 + 32*z**2. Let l(b) be the third derivative of h(b). Factor l(c).\nAnswer: -c**2*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490972 is divided by 918.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:37 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 3 (c) 0 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2268 + 0.0732. Which is the fourth biggest value? (a) -4 (b) 3 (c) 2\/7 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 + 0.06. Let h = 56.4 - 56. What is the third smallest value in m, h, 3, -2.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1575\/50*(-3)\/14. Let g = x - -235\/36. Which is the second smallest value? (a) 10 (b) g (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkltdlkklkkd. What is prob of sequence kk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4418665415+0.1\nAnswer: -4418665414.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45148381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 8 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -280.1 in 1\/2, 0, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1288.00000821 + -1288. Round i to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/5)*n*n)\/n)\/(n\/(n*n\/((n\/(n**(-1\/7)\/n))\/n)))*((n*n**2\/n*n)\/n)**8)\/((n**1)**28\/(n**(-2\/7)*n)**(-37)) assuming n is positive.\nAnswer: n**(-1294\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000) + sqrt(4000) + -2*sqrt(4000) + sqrt(4000) - sqrt(4000))\/(1*sqrt(8)*1)*-6 - 4*(4 + ((sqrt(15) - sqrt(15)*2 - sqrt(15))\/sqrt(3) + -5)**2).\nAnswer: -196 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from {z: 1, y: 1, e: 2, x: 6, u: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536041024 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 50541339*r**2 - 50541339*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 1 + 0*i - 1\/3*i**3. Let s(f) = f**2. What is s(l(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**16*c*c**8 assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 508 - 485. Let s be 50\/(-125) + v\/(-5). Let m = -386\/57 + 21\/19. Is s at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + p**4\/24 + 3*p**3\/2 + 18*p**2. Suppose -30 = -2*f + 72. What is the remainder when d(-10) is divided by f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -27. Let t(m) = 2*m - 1. Let g be t(z). Let l be 1\/((g\/(-4))\/7). Solve -3*b = l*y - 25, -2*b + 2*y - 20 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 1\/658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2*j + 6. What are the prime factors of r(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/7, -2665, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(2 - 3)*1. Let q = -7.7 + 8. Which is the nearest to -2\/5? (a) v (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2 - -3443.648069074.\nAnswer: 3438.448069074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -71794826.\nAnswer: 71794825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 1, u: 1}. What is prob of sequence kkkb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15308735*m**2 + 2153387*m wrt m.\nAnswer: 30617470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (930\/(-9))\/5*(-3)\/2. Suppose h - r = 21. Does 52 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:10 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000823734 rounded to 7 dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - ((-13598)\/208 + (-6)\/(-16)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/30 + 5*n**4\/6 + 12*n**2. Find the second derivative of z(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-1)\/6)\/((-40)\/(-32) - -1). Let t = -47\/2 - -24. What is the fourth smallest value in -1, 54, k, t?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1102222022211 (base 3) to base 11\nAnswer: -484406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75\/11 - -697\/99. Which is the third smallest value? (a) 3 (b) o (c) 1 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -309 + 1396. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 894118 and 26770.\nAnswer: 4470590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40078219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 - 33*o**2 + 12*o + 132 = 0. Calculate o.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18160 and 107296090.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-200)\/(-28750)*-35\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6828, 6750, 6674, 6600, 6528?\nAnswer: 6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3230554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuvnvvuvvunu. What is prob of sequence nvv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, 1\/20, 141?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -953, -1905, -2839, -3755?\n\"Answer: 9*i**2 - 979*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 31*p = 19*p - 13460423. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 9, 26, 61?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 510, 494, 472, 444, 410, 370?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**6\/60 - z**5\/10 + 7*z**2\/2 - 4*z. Let q(d) be the first derivative of k(d). What is the third derivative of q(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6145*h**2 + 18507*h.\nAnswer: -12290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 98*x - 103*x. Let f(o) = o**3 + 1. Let t(b) = -2*b**3 - b**2 - 2*b - 1. Determine x*f(h) + t(h).\nAnswer: -h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*c + 4 = -8*c, -i - 3*c - 3 = 0. Solve -3*y - 10 - 2 = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4*i, 2*w = 2*i - 59 + 57 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -559, -1249, -2215, -3457?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -149. Suppose m + 5 = 7*a. Calculate the smallest common multiple of 24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 6, 4*k = -r - 0*r - 15. Is -1 + r - (-873)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269 - -135.03968024.\nAnswer: 404.03968024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251230 divided by -185.\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 19*x**2 + 6. Is z(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 30459*s**2\/4 + 6270341*s.\nAnswer: s*(s + 847)*(s + 29612)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*p - 5*p**2 + 21*p - 1136 + 6*p**2 + 2000 wrt p.\nAnswer: 2*p - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53556610.6 to the nearest one hundred thousand.\nAnswer: 53600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1971381500 + -1718.\nAnswer: -1971383218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193675 - -322920. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 214. Let g(m) = -2*m. Give g(r(l)).\nAnswer: 4*l**2 + 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/6 + f**5\/60 - f**3\/6 + 66387*f**2. Suppose -4*u + 30 = u. Suppose -3*g + 3 = -u*g. Give s(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + y**2 + 9 + 15 + 9 - 11*y**2 - 14.\nAnswer: -10*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 - 102121021?\nAnswer: -102102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*a**3*g*k - a**3*k + a**3 - 9*a**2*g*k + 17058*a**2*k + a wrt g?\nAnswer: -28*a**3*k - 9*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*p = -419*p - 248 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8799016*p**3 - 28094*p**2 - 2*p - 26.\nAnswer: -52794096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*4\/16*-4. Is 7 a factor of 32 - (3\/k - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -689088102.8\nAnswer: -689088092.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 85 in decreasing order.\nAnswer: 85, 28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 5553952*p + 5553927*p - 11107879*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.6 - 4.6. Let f = 505 - 506.4. What is the third smallest value in 0.04, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 415, 923, 1631, 2539, 3647, 4955?\n\"Answer: 100*w**2 + 8*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let g(v) be the first derivative of v**3\/3 - 95*v**2 - 57. What is g(r(i))?\nAnswer: 4*i**4 + 380*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g**3 + 34*g**3 + 2*g**4)*(-2 - 1 + 1 + 5 + 1 - 5 + 2 + 3 - 4 + (-1 - 5 + 4)*(1 + 2 - 1)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 1)*(2\/8 - 300\/120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v = -23*v - 48. Suppose -3*q + 63 = v*q. Let s(w) be the first derivative of w**3\/3 - 9*w**2\/2 + 3*w - 2. What is s(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(160))\/(5*(sqrt(8)*1 + sqrt(8))).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((-4872)\/1224 + (-1 - -2)). What is the nearest to -2\/3 in 3, -2\/45, u?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkqffkkfffkfqkfb. Give prob of sequence qbfb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/52)\/((-1676)\/26816).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 + 4*m + 9. Let b be k(5). Solve l = -l - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*k + 11*k - 36*k to x + d*k and give d.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let p(j) = -j**2 - 5*j + 5. Let m(r) = -p(r) - 5*q(r). Let y(v) = 7*v - 3. Let b(f) = -f + 1. Let a(h) = -6*b(h) - 2*y(h). Give a(m(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 - 12 + j**2 + 4*j**2 + 4*j. Suppose -3*l = -5*a + 43 + 2, 3*a + 2*l - 8 = 0. Let h(s) = -s**2 + 1. Let m(o) = a*h(o) + g(o). Factor m(q).\nAnswer: -(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2. Let t(m) = -12*m**2. Give t(b(j)).\nAnswer: -192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -863763 (base 11) to base 3.\nAnswer: -2121011121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 1282*a - 1280*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**5 - i**4 - i - 1. Let p(j) = -11*j**4 - 7*j**2 - 11*j - 11. Let v(h) = 22*b(h) - 2*p(h). What is the third derivative of v(k) wrt k?\nAnswer: 1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*s**3*t**2 - 10024631*s**3 - 4*t**2 + 923300*t wrt s?\nAnswer: -102*s**2*t**2 - 30073893*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 + -27683?\nAnswer: -27623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 24*i**2 + 11. Let x(r) = -9*r**2 - 4. Let k(q) = -8*o(q) - 22*x(q). Let v(h) = 19*h**2 - 4*h. Give k(v(z)).\nAnswer: 2166*z**4 - 912*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/7 + (101 - 106). Let r(x) = -x**3 - 7*x**2 + x + 6. Let v be r(-7). Which is the third smallest value? (a) v (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.22 - 52. Let y = l + -2.22. Which is the fourth smallest value? (a) 1 (b) -0.3 (c) y (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12084 - -4?\nAnswer: 12088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*a**2 + 12 - 12*a**2 - 23 + 11 + 6*a to the form m*a + f*a**2 + h and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4745329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-37)*u)\/u**(21\/4) assuming u is positive.\nAnswer: u**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 6. Let k(u) = -3*u - 3*u + s + 4*u. Let v(o) be the first derivative of o + 1. Calculate -k(d) + 2*v(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 6*b**2 + 13*b - 14. Suppose 46 = 4*g - 3*w - 10, -3*w = -g + 14. What is the remainder when o(8) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 10. Let r be p(-8). Let t be (-3 - (-112)\/24)\/((-25)\/(-60)). Solve -4*d - 15 = -d - t*m, 4*d - r*m = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-7) - 18\/(-63). Let p = -3 + i. Suppose -2*j = -p*j + 11. Solve 4*n + 1 = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 3684?\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131785072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/35 + 1\/5. Suppose v*n = -u + 20, -3*n + 15 = -u - 1. Let z(t) = t**3 + t**2 + 7. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcaa. What is prob of picking 1 x and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195133 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313 (base 4) to base 10.\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 162.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -2.1, 17.\nAnswer: -2.1, 0, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/20 + o**4\/12 - o**3\/6 + 5*o**2\/2 - o. Let m be u(0). Solve -d + m = 2*y - 0*y, y = 5*d + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 233.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62439\/11 or -5676?\nAnswer: -62439\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**9\/3780 + v**8\/1680 + 35*v**4\/4 + 73*v. Let d(x) be the third derivative of l(x). Suppose d(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5 in descending order.\nAnswer: 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23209673 + -16031215.2. Let h = c - 7178463.80000052. Let g = h + 6. Round g to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931256, 1862733, 2794210, 3725687?\nAnswer: 4657164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*p**3 + 45*p**2 - 1359 with respect to p.\nAnswer: 39*p**2 + 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 4*sqrt(833)*1 + sqrt(833).\nAnswer: 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -44*z - 158 - 28 + 36, -7*g - 5*z + 0*z = -4*g - 3 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, -6, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/(((-20)\/112)\/5). Solve -c - 1 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -2.4. Let y = -13.9 - -2.9. Let v = y - -8. What is the third biggest value in -0.4, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 - 180. Suppose 5*c = 3*y + 106, -4*c - 4*y + s = -7*y. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/70)\/(((-17)\/85)\/((-28)\/(-10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -130, -3, 3 in increasing order.\nAnswer: -130, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3064581 millilitres?\nAnswer: 0.0003064581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2.3, -435, 1\/5, 326 in descending order.\nAnswer: 326, 2.3, 1\/5, -5\/3, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 31526691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiixsssiixsxifyui. What is prob of sequence isyi?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19489424 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omq when three letters picked without replacement from {m: 2, b: 2, o: 2, v: 5, q: 8}?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33172025\/887 + -37398. Is -1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3012 = 374*h - 11614 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*x**4 - 37*x**3 + 25*x**2 - 32.\nAnswer: 1080*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.2, 0.1, -12, 1\/6, -878?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2826*k**4 - 7131*k**3\/2 + 860*k**2 + 258*k - 56 = 0.\nAnswer: -1\/4, 28\/157, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2, 5*h + 6*z + 70 = z. Let j = h + 12. What is the lowest common multiple of 8 and -2*3*j\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -2\/3*u**3 + 0 + 32*u**2 + 1\/40*u**6 - 1\/8*u**4 + 0*u - 1\/210*u**7 + 1\/12*u**5. Factor y(g).\nAnswer: -(g - 4)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1763*l + 894*l + 132 = -881*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + l**2 - 15*l**2 as a + z*l + u*l**2 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2375*b**2 - 1764*b + 14938305?\nAnswer: -4750*b - 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 16*f = -10. Suppose 2*r - 5*y = -4 + 35, -3*r - f*y = -75. Calculate the remainder when 44 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96*(-455)\/195*((-2)\/14)\/1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5530 - 13.\nAnswer: 5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1879*a - 1. Let j(m) = -3*m**2. What is j(k(i))?\nAnswer: -10591923*i**2 - 11274*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*h - 4*o - 2, 4*h - 3*o = -3. Suppose -h*q + 17 = -7. Calculate the highest common divisor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 3. Let o(g) = -g**2 - 7*g + 5. Let v be o(-7). What is the smallest common multiple of 10 and l(v)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59, -66, -73, -80, -87?\n\"Answer: -7*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -7. Let s(t) = -t**3 + 9*t**2 - 6. Is s(n) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040017823 to five dps.\nAnswer: 0.04002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 3 (b) 0.05 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 4*j**2 + 5*j - 7. Let o be p(-5). Let b(a) = -3*a + 59. Let f be b(20). Sort f, o, -2 in descending order.\nAnswer: f, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c52a1 (base 15) to base 3.\nAnswer: -2121022222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23364, -23363, -23362?\nAnswer: -23361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7608 and 6258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 69190076, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -50*z - 464. What is the hundreds digit of 898\/1 - z\/(-13 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011030?\nAnswer: 2, 3, 5, 67, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1399*b + 688*b + 3205*b - 322144 - 922*b + 322146.\nAnswer: 4370*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(0 - 1) + -2. Let m be 26\/6 + (-1)\/3. Suppose 4*d + 5*h = 44, -d + m = 3*h - 0*h. Solve u*x - 4*x = -d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*f + 77 + 119 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*f - 536 + 106 = 7. Sort -3, -5, -25, f, 3 in descending order.\nAnswer: 3, f, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 264?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((3 - (-8 + 14)) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) 10 (c) -172 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 11, -185907 in descending order.\nAnswer: 11, 1, -1, -185907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, 83975 in increasing order.\nAnswer: -22, -5, 83975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1\/3 (c) 0 (d) 1\/3 (e) 1.95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2129 + -2064. Solve 67*t - m*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -6. Let p(a) = 7*a. Let n(c) = 179 - 179 + 0*c + 8*c. What is t*p(i) + 5*n(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 882 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 125480 times 0.094\nAnswer: 11795.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 91?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2\/19 (b) -4 (c) 3\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21131706 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -168*d - 5. Let r(m) = 1311*m + 39. Let i(o) = -78*a(o) - 10*r(o). Let t(k) = 1930*k**2 + k. What is i(t(l))?\nAnswer: -11580*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299071 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3014.228 - 0.3\nAnswer: 3013.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.003 + 4.997. Which is the second smallest value? (a) p (b) -4 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 10. Let i(s) = -5*s + 21. Let z(v) = 7*g(v) + 3*i(v). Determine z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2 - (-3 + 2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j**2 + 9*j + 38. Let d(z) = 21*z**2 + 6*z + 27. Give -7*d(x) + 5*p(x).\nAnswer: 8*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*q - 3, -10*q - 45 = -8*p + 13*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 13*u + 35. Let k be v(-10). Suppose -100 = -k*a - g + 297, -2*g + 162 = 2*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(15\/(-4))*5\/((-390)\/(-9)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197709193 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: 10055 (base 8) to base 15\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h - 3*h - 18 = 0, -4*h = -4*r + 24. What is the second derivative of 8*s**r + 52 + 2*s - 52 wrt s?\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 715896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -6 (c) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.28 + 1.448. Let y = -0.032 - d. Let k = 1 - 1.4. What is the smallest value in k, -2\/7, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 18\/(-4))*6. What is the nearest to z in 0.5, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*n = 2, -8*n + 3 = 79*c - 82*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53552 (base 6) to base 4.\nAnswer: 1302230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2487709, -4975419, -7463137, -9950869, -12438621, -14926399, -17414209?\n\"Answer: -y**3 + 2*y**2 - 2487709*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 21 = -2*h + h, h + 2*u = 13. Suppose h*a = 2*a + 150. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2)*-1 - -2*sqrt(2)*-6)**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 6*t. Let h(b) = -1619*b**2 + 7*b. What is 2*h(f) + 2*p(f)?\nAnswer: -3242*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**3\/7 + 2162*g**2\/7 + 2582*g\/7 + 430\/7 = 0.\nAnswer: -215, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 68*y = -15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -40. Let m = -118 - -121. Let r = -1464\/26845 - 2\/767. Which is the closest to t? (a) -0.2 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 952\/224 + (-1)\/4. Suppose 1 = u + 2*k, 0 = z*u - 2*k + 3*k - 4. Sort 3, u, -5 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0468 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1879 + -0.8121. Let o be (2\/(-8))\/((-2)\/6). Which is the closest to 1? (a) -2\/5 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 1. Let x be h(-1). Let v = 20.1 - 19.8. Put x, v, 0 in ascending order.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2. Let b(o) = 8*o. Determine z(b(s)).\nAnswer: -512*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) -2 (c) 109 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 4764*r - 2836962 = 0. What is r?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 22, 22, 32, 58, 106, 182, 292?\n\"Answer: v**3 - 4*v**2 + v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 574336 and 574336?\nAnswer: 574336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 0 - (-55)\/(-10)*-2. Solve 12 = -7*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + z = 8, -3*b + 11 = -2*b - 2*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.92926 rounded to 2 dps?\nAnswer: -11.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, p: 2, b: 1, g: 1, d: 1}. Give prob of sequence ppb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d*k*l + 26*d*k - 4*d*l + d - 35*k*l + 32*k wrt d?\nAnswer: -4*k*l + 26*k - 4*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19240242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Suppose 4*z + t = 3*z. List the prime factors of 9 + 2 + z - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/308 and -69\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-76 - -49 - (-25 - 0)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + r = 19, -4*r + 62 - 10 = 5*b. Calculate the remainder when 9 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -14, -4, -48 in decreasing order.\nAnswer: 5, -2, -4, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34521050 divided by -690421.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.919 - -19.979. What is the second biggest value in -2\/11, 0.1, -2.4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 7*p. Let i(o) be the first derivative of -o**4\/3 - 5*o**3\/3 - o - 3. Let l(m) be the first derivative of i(m). Determine -5*l(s) - 7*v(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 12427?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/2118 and -131\/2118.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16448404 to the power of 1\/2, to the nearest integer?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*p = 3, 3*p + 0 - 3 = -h. Is 1\/150 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 666, 483, 300, 117, -66?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 24. Sort 23, 0.4, n, 2.\nAnswer: n, 0.4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/8 + 525127*d\/4 - 525125.\nAnswer: -(d - 1050250)*(d - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 173, 271, 371, 473?\n\"Answer: r**2 + 95*r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2823976320 to the nearest integer?\nAnswer: 53141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from xyhyr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*a - s + 5, -4*a = -s + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28487, -28554, -28623, -28694, -28767?\n\"Answer: -p**2 - 64*p - 28422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrmrckrycdmccr. Give prob of picking 1 k and 1 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 38*f = -205. Let x = -4334 + 4374. Is f greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - j + 5. Let g(v) = -v - 3. Let f be g(-9). Suppose 7*q = f*q. List the prime factors of z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q - 11 - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 14*v - 49*v**2 + 0 - 6 + 48*v**2 + 9 as m + w*v**2 + o*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254597 is divided by 84839.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*y + 2 - 12, -5*n - 5*y + 35 = 0. Let b(r) = 41*r + 879. Let u be b(-21). Solve 0*w + n*w = -u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 + 283 = 49*s - 648 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/50)\/(15972\/(-1936)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24393, 1\/5, 30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -1097 (b) -0.0403 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + d - 1. Let v be ((-4)\/(-16))\/((-2)\/(-8)). Let u be h(v). Let f be ((-2)\/8)\/((-1)\/12). Is f greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1134 by -7.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 4*x - 2. Let u(j) = j**3 - 5*j**2 + 3*j + 2. Give 3*n(z) + 4*u(z).\nAnswer: z**3 - 8*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 82852*u**2. Let t(a) = 458*a**2. Determine o(t(v)).\nAnswer: 17379366928*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 35.\nAnswer: 97\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28779*p - 3388 = -14335*p - 14367*p for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w + 32. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71, -61, -57, -65, -91?\n\"Answer: -m**3 + 3*m**2 + 8*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104633.2 + -0.05.\nAnswer: -104633.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + r - 5*r)*(13 + 16 - 9)*(r + r + r) in the form z*r + q*r**2 + l and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2\/11 (c) -6 (d) -9500\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*a + 12 = 0, -4*a - a - 21 = 2*p. Let o be 69\/12*p\/6. Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83547296951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 219, 209, 199?\n\"Answer: -10*o + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from {m: 4, d: 4, p: 5, k: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/180 - r**3\/3 - 2*r**2. Let t(k) be the first derivative of q(k). Let j(g) = g**2. Calculate j(t(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 15\/7*i**7 - 8 - 2\/3*i**3 + 0*i + 0*i**5 + 0*i**6 + 0*i**2 + 0*i**4. Find the third derivative of v(d) wrt d.\nAnswer: 1800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -37\/15*s**5 + 2*s**4 + 13\/10*s**6 + 1\/84*s**8 - 2\/7*s**7 + 0*s**3 - 6*s**2 + 0 + 8*s. Let r(t) = 0. What is t?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - (-4 - 71 - (2 + 19 - 16)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmo when three letters picked without replacement from {m: 4, o: 2, d: 1, n: 1, r: 2, w: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-616)\/(-126)))\/(9\/(-12)*4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -914 = 5*t + 2*g, 3*g + 224 = -t + 36. Let p = -173 - t. Which is the closest to 0.1? (a) -2 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2892\/3745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9790774 is divided by 257651.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/8 + 3*z\/2 + 13\/8.\nAnswer: -(z - 13)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 1, u: 1, w: 2, o: 3, x: 2}. Give prob of sequence uw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 2, f: 7, v: 7}. Give prob of sequence vfv.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1725879 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 10*x = 9. Let z be -2 - x\/(-1) - -21. Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41211898857601417\/29679720 + 10093769769863\/4984. Let x = j + -2546722199\/4. Let g = x + 6\/1985. Find the common denominator of g and -57\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115111048 by 28777762.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from ayyyaaaaayaaayaa?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7791 + -66940?\nAnswer: -59149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 20 = -5*n, -n - 41*s = -39*s - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1165993.3 to the nearest 1000.\nAnswer: 1166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (49 - -23) + -62?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 17*f + 70. Let q be v(6). Solve q*y = -3*m - y + 10, 2*m = -5*y + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472*p + 1503*p - 2520 = 4294*p - 1439*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -5\/3, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 184*b**2 - 38*b - 227. List the prime factors of i(-9).\nAnswer: 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*g + 3 = -3, -3*y - 5*g = -16. Solve -y*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)*(4 - 24). Let r be (-5)\/(m\/16) + -4. Which is greater: -2\/39 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 9) to base 14\nAnswer: 3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 12*i - 10. Let l be y(-11). Let j(r) = 4*r**3 + r**2 - 2*r + 1. Let k be j(l). Suppose -3*q - 1 = -k*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r - 39. Let d be g(-4). Suppose -16 = -4*m - 0, -w - d*m = -520. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one half of a litre?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 1929.016424 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25103 divided by -1931?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-8 - -3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 253 = 4*g + 10*p - 9*p, -3*p + 233 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (5*(-2 + sqrt(153)) - sqrt(153)) + 5 + 2)**2.\nAnswer: -9796 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2303992 less than -2303992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) + (-171)\/27. Let p = k - -10. What is the second derivative of g + 2*g**p - 15*g + 4*g**3 + 0*g**3 wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**3 + 1364*c**2*v + 23*c**2 + 3*c + 274423981*v wrt c.\nAnswer: -18*c**2 + 2728*c*v + 46*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200000111 (base 3) to base 7.\nAnswer: -53203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ff6b6 (base 16) in base 15?\nAnswer: 159eb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -228. Suppose -p = -138*g + 143*g - 12, -p - g + 4 = 0. Find w, given that l + 1\/6*w**p + 7\/6*w = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 - -7 - (-18)\/(5 + -2). Solve -2*r = 4*u - r + 16, m = 5*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10493, 21004, 31533, 42080, 52645?\nAnswer: 63228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 - 4. Calculate o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40802 - 40817. What is the third biggest value in 0.09, -5\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)\/(y*y**3\/y))**(1\/29) assuming y is positive.\nAnswer: y**(-18\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 12)*(-151*j - 78*j + 65*j) as v + f*j and give f.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/4560 and 119\/1647984.\nAnswer: 8239920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26253 - -8330. Let y = 115937215\/6444 + -52585\/716. Let i = b + y. What is the common denominator of -7\/10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -731\nAnswer: 78\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - (-2)\/(-4). Suppose -4*a = x, -a + 14 + 1 = 3*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874522?\nAnswer: 2, 13, 17, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 47*i + 1449. What is the remainder when n(66) is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -567*o + 585*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191072 divided by -5.\nAnswer: 191072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 24*v**3 - 2*v**2 + 1. Let b be l(-1). Let o be 6\/6 + (-518)\/20. Let y = o - b. What is the closest to 1\/3 in 2, y, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11242 + 37146 = 8*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 4*u = c + 15, 0 = -5*c - 3*u + 15. Solve -2*n = -4*w - 10, -c*n + 6 = w - 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -4*sqrt(405))*-6 - (3 + sqrt(405) + -2 + 5 + sqrt(405)*2))**2.\nAnswer: -4536*sqrt(5) + 178749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*a*h*j - 2*a*h - 99*a*j + 18491*h*j + 2580*j wrt h.\nAnswer: 39*a*j - 2*a + 18491*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 6*s + 5. Let o be i(-6). Suppose o*d = 185 + 40. Solve 2*g + 2*g + 5*h = d, 4*h = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307 and 229022?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060.8 rounded to the nearest 10?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 23 - (3 - (5 - (9 - (2 + 2))))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126*0.095.\nAnswer: -0.01197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, u: 7}. What is prob of sequence rurr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.058?\nAnswer: -0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234243 - 1043?\nAnswer: 2233200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406.79 + 601.719. Let r = d - 195. Round r to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - o + 7. Let w(c) = 2*c**3 + c - 3. Give 3*p(a) + 7*w(a).\nAnswer: -a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-7))\/o)\/o)\/o**(2\/15))**32 assuming o is positive.\nAnswer: o**(-3904\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14346 divided by -2?\nAnswer: -7173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/90 - 2*z**4\/9 - 53*z**2\/2 - 2*z + 20. Let b(h) be the first derivative of g(h). Factor b(u).\nAnswer: -2*u*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = -o + 5, 2*h = 4*o + 8. Suppose x + h - 3 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-7 + -58) - (-23 + 2 - -3)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 - -0.18. Let c = -0.46 + 0.16. Sort j, 1, c.\nAnswer: c, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.30001519 + 60.3. Round h to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21249 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/42 and 43\/1848.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4 - 0, 2 = -2*o - 2*z. Let y be o - (1 + 0 + -1). Let l(j) = j**3 + 2*j**2 + 2. Let q be l(y). Solve 0 = -q*f + f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 50 = -65. Let s be 6187\/j - 1\/(-5). Calculate the greatest common factor of 90 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -1251\/44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)*y*y*y*y**1)**(2\/183))**(-14\/9) assuming y is positive.\nAnswer: y**(-392\/6039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(6\/(-2)) + 1. Suppose -w*p - 2*p = 0. Suppose 2*g + p*g - 17 = -3*u, -31 = -4*g - 5*u. Do 3 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-8) + 6\/8. Let y be r\/8 + (-18)\/(-8). Let l = 2 + y. Let k(h) = h - 4. Give k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 23*k + 140 = -4*x - 5, 2*x - 58 = 5*k for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192593 (base 11) to base 13.\nAnswer: a4a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2512954 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 34330\/20797?\nAnswer: 34330\/20797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3533789343 and -306?\nAnswer: 3533789037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168460, -336592, -504726, -672862, -841000?\n\"Answer: -l**2 - 168129*l - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Is 0.4 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1574*w**4 + 7*w**2 + 1628*w**4 - 125 - 13*w**3 - 3295*w**4 wrt w?\nAnswer: -2232*w - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321196647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 39*p - 39*p + 4*p**2. Let j(c) = 2*c**2. Give j(d(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66919362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2463574633+0.02\nAnswer: 2463574633.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4 - 5\/12. Let o = 102 - 715\/7. Let v = -1\/6 + 2\/3. What is the nearest to v in o, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 8176.92298319.\nAnswer: 8177.12298319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from tnttntuuudtttcutdu.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4.1. Let c = 0.3 - r. What is the nearest to -0.1 in c, 2, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 6*b**2 - 2*b - 5. Let v = -7 + 1. Is t(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/(w\/((w\/(w*w**(1\/3)))\/w)))**7 assuming w is positive.\nAnswer: w**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 46 = d. Let a = -7 + d. Let x(m) = -m**2 - 16*m - 24. Let y be x(-12). What is the greatest common factor of y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14025302 - -30?\nAnswer: 14025332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 2, r: 2, t: 2, p: 3}. Give prob of picking 1 t and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -464.86 + 465.4. Which is the second biggest value? (a) 3 (b) p (c) -1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (-40)\/(-30)*3\/2. Let x be ((-2)\/h)\/(2*5\/(-210)). Let n(t) = t. Give n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -0.06 (c) -0.1207 (d) 0.6 (e) 2 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 1\/4, -57.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 105*u**2 - 3055*u + 287. Calculate g(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:51 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/90781608 and -26\/27.\nAnswer: 817034472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 11*g**2 - 9. Let h(f) = f**3 + f**2. Let w(n) = -4*h(n) - i(n). Calculate w(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 314, -4 in increasing order.\nAnswer: -4, 7\/5, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b - 4. Let t be j(-2). Let q = 16 - t. Let d be q\/(-6) - (-265)\/15. What is the highest common divisor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/20 - 19*v**4\/12 + 3*v**3 + v**2\/2 - 6*v. Let x(d) = -23*d**3 + 68*d**2 + 7*d + 6. Let c be x(3). Determine k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 - 1 = -3*i, -n = 4*i - 3. Let r(l) = -l**2 - l - 5*l**2 + l**n + 5*l**2 - l**2. Give r(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - 3. Is ((-6)\/(-3))\/(d\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -993973630 - -3\nAnswer: -993973627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, s: 13}. Give prob of sequence sssd.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/3)*p)**19*(p**0\/p)**(-18) assuming p is positive.\nAnswer: p**(206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(12\/4*15\/9)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s - 10*s - 14*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejej when four letters picked without replacement from jjehheeeehj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14106500 rounded to the nearest 10000?\nAnswer: 14110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**2)**(-32)\/((b*(((b*b**8)\/b*b*b)\/b)\/b)\/((b\/(b*b**5\/b*b))\/b*b)) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/((-1350)\/72) + 14\/6. Sort 2, 5, u in ascending order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199124 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-757\nAnswer: -757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35224 and 488992.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33273 is divided by 16592.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 135 - 248 + 109 + 0*m**3.\nAnswer: m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2 - 3 - 3*s + 5. Let n be (154\/(-33))\/(6\/9). Let i be 5*n\/(-14)*-2. Calculate l(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2264920 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -312*k**2 - 775035*k\/4 - 16767\/4 = 0.\nAnswer: -621, -9\/416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d398d (base 14) in base 4?\nAnswer: -30030322321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*(m*m**(-5)*m)\/m)\/m**(-2\/3)*m**(-2\/5)\/m*m**(6\/5) assuming m is positive.\nAnswer: m**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**2 + 10*c. Let f be x(-4). What is the greatest common divisor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1613, 2307, 3465, 5087, 7173?\nAnswer: 9723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10868*z + 10888*z = 50660. What is the highest common divisor of 272 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 + 11*d - 116. Let g(n) = -3*n**2 - 4*n + 39. Determine -4*c(t) - 11*g(t).\nAnswer: t**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000205985574 to six dps.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75735016 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 6*k + 3. Let l be z(-4). Let h = -29 + l. Is -55*(-2 + h\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(756)*3 - -6*(sqrt(756) + -2*sqrt(756)))\/(sqrt(192) + 1*sqrt(192) - (sqrt(96)\/sqrt(128) - sqrt(12))))**2.\nAnswer: 11664\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 339 + -319 + (0 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/192)\/((-105)\/100 + 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94566710, -94566709, -94566708?\nAnswer: -94566707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.4 (c) -18 (d) -0.031 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 117b - 5?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*726\/88*(-5)\/60?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -531*o + 554*o - 138 - 47 as c + f*o and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*x - 4*x + 162 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903c6 (base 16) in base 5?\nAnswer: 404424431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 + 1 - 3*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008864507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 80 + 75)*(-f**3 + 6*f**3 - 3*f**3).\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1084 and -75\/2.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzyazyyy. Give prob of picking 1 r, 2 z, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 60, 133, 236?\n\"Answer: 15*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*(-2)\/48 + 4\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435402.\nAnswer: 2, 3, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1874393, 3748748, 5623103, 7497458?\n\"Answer: 1874355*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-5) + -6 + 2. Let o = -2 - b. Let g(i) = 16*i - 16. Let l be g(1). Solve l*j = 5*u - 2*j - o, -2 = -u - 3*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2518215*b**3*m**3 + 121*b*m**3 - b*m**2 + 245*b + 3*m**3 - 1 wrt b.\nAnswer: 15109290*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -2. Let m = 192 + -189. Let o(i) = m + 36*i - 3 - x*i. Let j(v) = -2*v**2. Calculate o(j(g)).\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. What is the units digit of 2 - -2 - (-82)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + 6*d + 126. Let n(g) = -g**2 + g + 2. Calculate -m(k) + 6*n(k).\nAnswer: -2*k**2 - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 10*u + 1. Let n(a) = 5*a**2 - 185*a - 25. Calculate n(p) + 25*w(p).\nAnswer: -20*p**2 + 65*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnr when three letters picked without replacement from nrnrddsssddsndsrdss?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38844227 from -0.046.\nAnswer: 38844226.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, i: 7}. What is prob of picking 1 i and 1 b?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlbqqqlqqqqqq. What is prob of picking 1 l, 1 b, and 2 q?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 744 = 9*x. Let t = x - -543. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhd when four letters picked without replacement from {h: 3, d: 3, n: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 525*p**2 - p - 468*p**2 to the form n*p**2 + l + r*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 15*q**3 - 65*q**2 - 75*q.\nAnswer: 5*q*(q - 3)*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 + 8 = n, 2*i - 3*n + 5 = 0. Solve 4*w = -3*l - l + 16, 0 = i*w + 5*l - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 + 1073913*c**2\/2 - 2147808*c + 2147802.\nAnswer: -3*(c - 357967)*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 - 122. Suppose -13139 = -h*p + 41261. What is p rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v**2 - 16*v. Let g(b) = 5*b. Calculate g(i(x)).\nAnswer: 155*x**2 - 80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5235.4803 + 33.\nAnswer: -5202.4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.228 and -5.3617.\nAnswer: 1.2224676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (-2 + (3*sqrt(2695))\/sqrt(5))*4))**2.\nAnswer: -32256*sqrt(11) + 1244160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) -36\/13 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87978 - -79975.\nAnswer: 167953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -198*o - 3260. Calculate w(-16).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*i - i - 3*j - 2, 13*j + 34 = 46*j + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -0.115, 12, -1.7 in increasing order.\nAnswer: -3, -1.7, -0.115, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.580306 rounded to 3 dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 2 + 4 - 3*s**3 + 0. Let l(f) = f**3 + f**2 - f - 1. Let b(a) = 2*l(a) + q(a). Find the third derivative of b(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100580.2 - -12.\nAnswer: -100568.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -48*o + 55*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - -11. Let j be (-1 + 1)\/(s + -33). Solve j = k + 5 - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17531?\nAnswer: 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20022202111 (base 3) to base 8\nAnswer: -363103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:57 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -3*(-4)\/(-6). Let t(c) = -4*c**2 - c + 5. Let n(b) = 4*b - 3 + 3*b**2 - 1 - 3*b. Let o(x) = m*t(x) + 6*n(x). Factor o(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64292047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 14\/29, 7, -112, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477522031 to the nearest integer?\nAnswer: 21852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 30 - (-37 - -47)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4122 divided by -18.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9*b - 660 = 0. Suppose -p + 44 = p. Calculate the greatest common factor of p and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1\/((-5)\/(-70)) - -184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2652515.62 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**3)*(j**(3\/2)\/j)\/j)\/(j\/(j\/((j**0*j)\/j)*j))**(-2\/175)*((j\/(j**1*j*j))**30)**24 assuming j is positive.\nAnswer: j**(-505229\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88721.26 nanograms in grams?\nAnswer: 0.00008872126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -5.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or -415?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 23*n**2 + 7. What is the hundreds digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2119, 4257, 6393, 8527, 10659, 12789, 14917?\n\"Answer: -y**2 + 2141*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 627*y\/5 - 8658\/5.\nAnswer: 3*(y - 222)*(y + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 19 + m - 2*m**3 - 7 + 6 to the form s + w*m**3 + u*m + j*m**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*r**4 + 173*f - 26*r**4 - r**3 with respect to r.\nAnswer: -8*f*r**3 - 104*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116672 - 74797. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h - 4. What is the units digit of j(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -12. Let j = -1 - 4. Let m = j + 9. What is the remainder when x is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -11*g + 120. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7616 + -5185. Calculate the greatest common factor of s and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose -t - 4*t = -4*q - 200, -2*t - 172 = z*q. Calculate the common denominator of q and 123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28033\/35 - 801. Let j = 0 - -15. Suppose -j*c = 18 - 3. Is i at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/5 of a millennium?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -152. Suppose -4*h - z*o = -2*o - 3217, -2419 = -3*h - 5*o. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -391992*q. Let h(a) = 81*a**2. What is s(h(t))?\nAnswer: -31751352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -38704.\nAnswer: 3\/38704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -29996*w + 16. Let l be j(-4). Suppose -y = y - l. Suppose -8*b = -6*b - y. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.5, -2\/11, 4, 186?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -241 - (7 - (-81)\/(-9)). Let u = y + 242. Let b(k) = -2*k + 2. Let i be b(-6). Solve -2*c - t + 10 = 0, 4*c - 4*t - i = -u*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2001 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d - 6*d + 10*d to the form l*d + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -3. Let d = 16 + -14. Let z = -22309\/8 - -2789. Which is the closest to z? (a) g (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let q(l) = 27516*l**2. Calculate q(v(k)).\nAnswer: 27516*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:45 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103832*y = 103835*y + g - 42, -4*y - g = -45 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10567.\nAnswer: 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1194741.\nAnswer: -238948.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - s**2 - s - 5. Suppose m = -5, 3*r - 2*m - 18 = -2. Let j be u(r). Solve -5 = -j*d - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -37. Let a be 1\/(2*1\/54). Let q = m - a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*i**2 - 18*i**2 + 13*i**2 + 6*i**2 to d + t*i**2 + r*i and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/14*(-7)\/14*14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48586459*l**3 + 4*l**2 - 21*l - 217835?\nAnswer: 291518754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 401454 + -109?\nAnswer: 401345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2 - 6*g + 9 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 10. Let c(x) = -x**2 - x + 1. Let b(y) = 10*c(y) + q(y). Let g(p) = -2*p. Calculate b(g(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, -7496, -54.\nAnswer: -7496, -54, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Suppose 0 = d*z - z - 12. Differentiate 0*v + z*v + 1 - 2*v with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -8, 5, 0.06, 4\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 10 = -9*o. Suppose 4*z - 2 = -o*d - 0, 4 = -3*z - 5*d. Put -4, z, 1, -5 in decreasing order.\nAnswer: z, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b = -6*b - 171 + 29. Let h = 3 + -7. Let t be 2*h\/(8\/(-3)). Is t at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2554*c**3*q**2 - 2*c**2*q - c*q**2 - 38*c*q + c wrt c.\nAnswer: -15324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + 107?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 193*p = -195*p + 31, -3*n + 0*p = 3*p + 93 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -2229*p**6\/40 - 1649*p**5\/15 + 467*p**2. Find the third derivative of z(a) wrt a.\nAnswer: -40122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736498426?\nAnswer: 2, 2267, 162439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 3)\/(6\/(-3510)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 25*i**2 + 143*i - 51. Let u be n(-12). Solve 109*f - u*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 17. Is -1 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 0 (c) 1\/31 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*z + 460*z + 469*z + 459*z - 6*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570797.8 millennia in months?\nAnswer: 6849573600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + l. Let o be g(-1). Suppose 0 = -3*m + 5*f + 25, 5*m - 23 = 5*f + 2. Let n(b) = 2*b + 0*b + m*b + 1 + 0. Calculate n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7279 and -1.77.\nAnswer: 7277.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 6 + 466*c**2 + 2*c**3 - 466*c**2 + (2 - 2 - c)*(c**3 - c**3 + 2*c**3).\nAnswer: -3*c**4 + 2*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*p = -65*p - 5680 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and -44\/20849?\nAnswer: 166792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j**2 + 73360*j - 73360. Give c(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (46\/(-6))\/(5\/15). Let x = 49 + o. Suppose 14 = 5*n - x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*x + 175 = -82*x. What is the second derivative of -510*z**5 + 471*z**5 + 27*z + x*z wrt z?\nAnswer: -780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2528 = -66*c - 87*c - 163*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310866?\nAnswer: 2, 3, 197, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27779\/6 - -4607. What is the common denominator of -77\/15 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/4 - (0 + -6). Find the second derivative of p*u**2 - 14*u - 6*u**5 - 3*u**2 + 11*u wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {s: 1, k: 2, c: 2, z: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1216 - -1?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16220537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*j, 0 = -0*k + k - 4*j - 22. Let l be 16\/(-6)*-2*(-54)\/(-48). Suppose -3*a - 12 = -l*a. Calculate the remainder when k is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v - 16. Let z(j) = 7*j - 15. Let f be 0 + (-118)\/(-1003) + (-49)\/(-17) + 3. What is f*o(i) - 7*z(i)?\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -174? (a) 0.2 (b) 0.3 (c) 14312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1575 rounded to 2 dps?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 3382*r**3\/3 + 952032*r**2 - 1908576*r.\nAnswer: r*(r - 2)*(r + 1692)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-18) + 2774\/342. What is the common denominator of -17\/11 and (c + 4218\/(-528))*-57?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 66.7.\nAnswer: -53.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67497 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-4)\/(-6) - (-95)\/(-15). Is (3 + 1 + q)*(-397)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + s + 1. Suppose 5*m + 176 = -49. Let f be 2\/(-4) - m\/6. Suppose a - f*a = -18. What is p(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + 3*d - 7. Let m be z(5). Suppose -3*s + 40 = -m. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 378*v - 376*v + 2410. Let j = v - -1978. What are the prime factors of j?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.248 (b) 0.3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/70)\/(48\/4080)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*8\/12*-10. Let b = -15 + c. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 1176673.\nAnswer: 28\/1176673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120002 (base 3) in base 9?\nAnswer: -1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1367982301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452 and 68182844.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1666, 1663, 1660, 1657, 1654, 1651?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 548 = -54. Suppose -17 = r - 4*y + 5*y, 2*y = 4*r + n. Let z(g) = -12*g**3 + 20*g**2 - 20. Let t(m) = -m**3 + m**2 - 1. Give r*t(u) + z(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -1 (c) 7 (d) 90 (e) -5.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 40850*g - 40843*g + 43 = 0, 0 = m - 4*g - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {o: 5, w: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -290 + 3*b - 4*b + 291. Suppose -3*u = 16 - 7, 2*f + 3*u = -19. What is p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*b - 3*y - 3, -5*y - 45 = -5*b. Suppose 0 = 2*i - j - 3*j, i + 7 = -b*j. Let z(m) = m + 7. Let w be z(-7). Sort -1, w, i in decreasing order.\nAnswer: w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-17) + 1080\/68)*((-57)\/12 + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -4566 - 24697. Let i = t + -78773\/35. What is the common denominator of i and 101\/4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 2)*(-391*o + 18 - 56*o - 16) in the form y*o + i and give y.\nAnswer: -1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) -4\/7 (b) -0.35 (c) 5 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*w - 179, r + 368 = 4*w - 3*r. Let x = 93 - w. Solve -j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66752649587 - 1?\nAnswer: -0.33247350413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-4 + -10)) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 877727.9 years?\nAnswer: 10532734.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**2 + 6*v**2 + 0*v**2 - 3*v**2. Let h(o) be the first derivative of o**2 + 3. Give c(h(k)).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 28.47\nAnswer: -113.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiityyiqjytyiyyiiy. Give prob of sequence yt.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpgrxpggpgfppffgg. Give prob of picking 1 x and 3 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 2*o**2 - 2*o - 7. Let x(v) = -3*v**3 + 5*v**2 + 5*v + 14. Give -5*l(g) - 2*x(g).\nAnswer: g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, 18, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 136 = -2*x. Suppose -t = -w + 19, 132*w + 4*t - 26 = 130*w. Calculate the remainder when x is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692411 <= 692374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 199 - -56cc6?\nAnswer: 57081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2128 and 3192?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/9 + 398740*u + 391211464\/9 = 0 for u.\nAnswer: -109, 897274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014717 to 6 dps.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*4\/2*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6337, -5745, -5153, -4561, -3969?\nAnswer: -3377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -7 (c) 3\/5 (d) 0.0158 (e) -887\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (503*s - 810*s + 501*s)*(3*s + 5*s**2 - 3*s + (-3*s**2 + 0*s**2 + s**2)*(-1 + 1 - 1)) to the form w + r*s**3 + f*s**2 + z*s and give r.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 16*h - 145. Let g(f) = -f**3 - 6*f - 48. Determine -8*g(a) + 3*s(a).\nAnswer: 2*a**3 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 1, 6 in ascending order.\nAnswer: -22, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*a + a. Let c = 1 + -1. What is the closest to c in 0, a, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 8\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*l - 39*l = 85 + 1987 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*o = 9, 0 = 2*o - o - 5. List the prime factors of (-2)\/d + (-275)\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -2*f + 7, 5*x + f = 9. Let y = 0 + 6. Suppose n + 3*l = 2*n + y, -3*n + l - 2 = 0. Solve n + x = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19. Let o be -2 + (g\/(-3))\/(1\/(-213)). Let n = -59 + o. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 4*i - 18*i**2 + 1\/3*i**3 + 0. Let g be h(20). Solve -16 - g = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*w + 27, -3*i = 232*w - 234*w + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v**2 + 5*v - 3. Let g be u(4). Suppose -2*a = -3*k + 4, -8*k - 5*a + 8 = -11*k. Solve -2*x - b = -7 + 1, 0 = 3*x + k*b + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-60) - 176\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 15. Let p = 19 - j. Let l(n) = -n**3 + n**2 - n + 6. Calculate the smallest common multiple of p and l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1557000 to the nearest ten thousand.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 4*a**4 - a + 3*a**4 - 33 + 31 - 2*a**2 to the form u*a**2 + k*a**3 + t*a + f + r*a**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1.3\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 2896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = 4*j - 3*n, 5*j - 5 = -5*n. Let w be 9\/12*(-1)\/j. Which is the nearest to -1? (a) 5 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-105) - (9\/(-7) + 1). Let t = -2 - -3. Let f = -4.4 - -4. What is the closest to t in f, s, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 3, q: 9}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1))\/(1\/(-5)). Let x = s - 19\/4. Let n = 43.2 + -43. Which is the second smallest value? (a) n (b) 2\/5 (c) 5\/3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3147*j**2 - 24*j + 9. What is the smallest common multiple of r(1) and 39?\nAnswer: 40716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-2) - (-116)\/(-667)*-115?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-774)\/(-903)*(-6)\/3*7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4523 - 838 = -5*y, 4*f - 2918 = -y. What is the least common multiple of f and 2?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 117?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648 divided by -4?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9623 + -5234863\/544. Find the common denominator of -73\/1632 and o.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 409835\nAnswer: 163934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162*-974730.\nAnswer: -157906260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -32878\nAnswer: -2\/16439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 31*u**2\/2 - 96*u - 5783. Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179\/385 - -2\/55. Put 4\/7, -3\/2, -0.3, x in descending order.\nAnswer: 4\/7, -0.3, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.28 or 1567?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1067)\/(-165) + (-2)\/15 - 623\/267?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*a = 302*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (105\/2)\/(573\/(-382))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689400 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1e1ad (base 15) to base 11\nAnswer: -67910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1180311 divided by -8371.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + 2*i + 3. Suppose 5*z + 7 = -23. Let m be 3\/(1*z)*-16. Let p(w) = 2 - m*w**2 + w + 3*w**2 + 0*w**2. Determine -4*p(q) + 3*u(q).\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25651 + -25646. Solve -m + f*z = 2, 4*m + 4*z + 6 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543338.8nm to meters.\nAnswer: 0.0005433388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012022221000022 - 11?\nAnswer: 1012022221000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l + 10. Let a be n(-7). Let y be (4\/9)\/((-2)\/a). Let t = 163\/28 + -46\/7. Sort 0.1, t, y in descending order.\nAnswer: 0.1, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5547 + 5*p - 2*p + 2*p + 1266 - 2*p in the form a*p + t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100101101111?\nAnswer: -1100101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*a + 735*a = 16430 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2987 divided by 2\nAnswer: -2987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 1)*(12 + 25 - 14) + 4 - 2 - 3 - 2 - 11 + 1)*(2*r + 0*r - r)*(-3*r**2 - 11*r**2 + 5*r**2) in the form f*r + y*r**3 + b*r**2 + k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/2 - 422127*t**3 - 16886049*t**2\/2 - 32506452*t + 102161994 = 0. Calculate t.\nAnswer: -11, 2, 281438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 3, q: 2, i: 1, b: 9}. Give prob of sequence iq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-14)*60\/(-40)*8\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -377*n - 301. What is the thousands digit of f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*z = 2762 - 7346 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(847) + ((sqrt(847) - (-2 + sqrt(847) - sqrt(847)))*-4 - sqrt(847))) + 3)**2.\nAnswer: 4752*sqrt(7) + 122292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*q**2 - 5 - 7*q**3 + 5*q**3 - q**2 to the form m*q**2 + k*q**3 + l + g*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 11*q - 2. Let c(a) = -5*a**2 - 11*a + 1. Let i(z) = 5*c(z) + 6*l(z). Calculate i(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16\/7 - -8\/21. Calculate the common denominator of b and 17\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 - 2*d**4 - d**4 + (-3 - 3*d + 3)*(295*d**3 - 141*d**3 - 140*d**3) - d**4 + 0*d**4 + 4*d**4.\nAnswer: -38*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-28 - -27 - -29)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 divided by 13?\nAnswer: 392\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/28 + (-48)\/(-21). Suppose 2*l = -v + 9, -v - t = 4*l - 15. Factor 3\/2*p - 1\/2*p**l - 1.\nAnswer: -(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2305930 = -84*k - 460786. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 51*l - 4. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-7)\/(-42)*24\/(-8)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 6. What is n(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148472, -296164, -443856, -591548, -739240, -886932?\nAnswer: -1034624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-2 - 26) + (3 - 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1)\/(((-28)\/(-3))\/(-7))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/5))**(-20)*((r**1\/r)\/r)**10 assuming r is positive.\nAnswer: r**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1895*0.11\nAnswer: -0.020845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 > -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Let z be w\/6*39\/26. Let y be z + (2 - (3 + -3)). Solve 2*b + 3 = -4*u - 9, b + y*u + 9 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 2 - 7*i**3 - 18*i**3 + 30*i**3 to the form a + y*i + l*i**3 + f*i**2 + m*i**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -684, -665, -610, -501, -320, -49, 330, 835?\n\"Answer: 3*j**3 - 2*j - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -499, 11.\nAnswer: -499, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m + 1)*(11*m + 5*m - 6*m) + m**2 + 0*m**2 + 5*m**2 as j*m**2 + s + n*m and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*b + 45*b + 24. Suppose 23*d + 3 = b*d. Let s be 0 - (-2 + -4)*2. Solve -4*v = -0*v + 5*q + s, 0 = -v - 2*q - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44\/7, 2\/5, 2, -0.2, 2\/17?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f**3 + 91*f**3 - 182*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/66 and 550\/(-33) - (7 + -1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 707*h**3 - 345*h**3 - 2 - 304*h**3.\nAnswer: 58*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 129841 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -448710 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*o**2 + 247*o + 89 wrt o.\nAnswer: 26*o + 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1667*k + 11. What are the prime factors of h(-2)?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m + 7. Let d(b) be the first derivative of 5*b**2 + 6*b - 1053. Give 7*d(q) - 6*z(q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 - 6*m + 4. Let c be a(5). Let t be (2\/4)\/(c\/(-8)). Differentiate -11 + 3 - 3*w**t + 4 with respect to w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - t + 5*t + 14*t - 4*t - 6*t + (1 - 4 + 2)*(0*t - 6*t + 2*t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -24*(-19)\/(-57)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80477 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18661.2 + -4\nAnswer: -18665.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944127?\nAnswer: 3, 23, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -15 + 24 - (-1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiyyhhhyeliyiyy. What is prob of picking 1 y and 1 e?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*n - 768 = -193*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 1. What is z(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(26 - 26 - 23*n)*(0*n**4 + 0*n**4 + 3*n**4).\nAnswer: 69*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q - 102*q - 150 = 0 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**5\/40 - j**4\/2 - 5*j**3\/4 - 3*j**2\/2 - 9*j. Determine c, given that y(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(384)*-2).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -131*8\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58594 and 362.\nAnswer: 10605514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110111101011001 (base 2) to base 13.\nAnswer: -33a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 4*n**2 - 4*n - 2. What is j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 2. Let u be o(8). Let g be u\/12 - 9390\/(-4). Suppose -h + g = 3*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -796, -789, -782, -775, -768?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*f - 50 = -2*f, 19 = 2*z - f. Suppose 0 = l - 3 - 9. Suppose 2*i + 5*n + 4 = -l, -2*i + n + 8 = 0. Solve -10 = -z*c + i*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 20*q + 48. Let n be z(-17). What is the smallest value in n, 1.7, 2\/7, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4953 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 197*m**2 + 1363*m - 170. Let p be o(-99). Round p to the nearest 10000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 119?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*n + 342 = 0, 5*n + 48 = 4*y - 636. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.7, -85, 912, -3\/8, -5?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 13*l**2 + 2*l - 1. Let d be m(1). Let q be (-1368)\/(-14) + 4\/d. Suppose 2*i - 4*i = -q. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -25\/2*c**4 - 4*c**6 + 7*c**2 + 0*c**3 - 64\/5*c**5 + 4*c + 3. Suppose h(b) = 0. Calculate b.\nAnswer: -1, -2\/3, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/14, 2\/10871 in decreasing order.\nAnswer: 2\/10871, 0, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368 - 328*n**3 - 178 - 190 + 331*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -613679 divided by 6?\nAnswer: -613679\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -0.3 (c) 15.3 (d) -1199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2428 and 3557073416.\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-190)\/16 - -12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*m - 48, -4*m - 5*r - 42 = -7*m. Let i = m - 3. What is the smallest common multiple of i and ((-48)\/(-30) - 2)*-15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - 1\/4. Let j = 2 - 2. Suppose l = -j*i - i. Sort 0.1, -0.1, i in decreasing order.\nAnswer: 0.1, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/u*(u**1*u)\/u)\/(u*u*u**3)**(-5) assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1349 + -32387\/24. What is the common denominator of 59\/24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021632 minus -9?\nAnswer: -2021623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (974\/28 - 370\/1295)\/(9\/6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -7. Let q = d + 0. Find the common denominator of 33\/8 and 3\/q + (-380)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 2*g + 32. Let q(s) = -3*s**2 + 5*s + 61. Determine 5*i(k) - 3*q(k).\nAnswer: -k**2 - 5*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -5*k, 29 = v + 8*k - 5*k. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from yyygeggyggcyggygyy?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let c(f) = 10*f**2 - 19*f**2 + 15*f**2. What is c(g(j))?\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 498\/(-42)*(6\/(-34) - (-14 + (-580)\/(-85)))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-170) - (-6855)\/(-34))*-6. Calculate the greatest common factor of 558 and a.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m = 319643 - 314513 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 120. Let b be (64\/(-6))\/(13\/(-3) - -4). What is the highest common factor of b and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/125760 and 169\/58541280.\nAnswer: 117082560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + c - 3*c - 2716, 1364 = 2*r - 4*c. Let z be -5 + r\/30 + 4\/10. What is the greatest common factor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9262 + -3038. What are the prime factors of s?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4\/3)*a**(-6))\/(a**3\/(a\/(a**(1\/6)\/a))) assuming a is positive.\nAnswer: a**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.29 and -0.093589.\nAnswer: 5.196411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:37 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6692*k + 20098*k - 6709*k - 6718*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 0) + 0 + 11461 + -11472?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/((-1)\/(-20)). Let o = m - 4. Let p be o\/(-8) - (-2)\/(-4). Is 1\/3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 2*d**2 + 5*d**2)*(-d + d + 2*d) + 0*d**2 + 0*d**2 - 2*d**3 - d**3 + d**3 - d**3 + 7*d**3 - 3*d**3 - 3*d**3 + 6*d**3 + 3*d**2 - 7*d**3 - d**3.\nAnswer: -6*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9) - 38\/24. Let k be (-14950)\/55 - (-4)\/2. Let n = k + 270. What is the closest to q in 1, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -11. Let l = 95 + -92. Suppose k = l*k + 2*k. Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8977 + 39310. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-11*b**4 + 44*b**3 - 44*b**3 + b**2) to o*b + x*b**4 + u*b**3 + c + j*b**2 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3871 + 6?\nAnswer: -3865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.46 (b) 2\/29 (c) -2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + 6*a + 6. Determine i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {q: 5, s: 7, b: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m + 38. Let f be (-3)\/(-12) + 28\/m. Let j(n) = 2*n**3 - 4*n**3 - 3 - 4*n**2 + f + 3*n**3 - 5*n. Give j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 6*a + 2. Let d be l(-6). Let c = -856 - -814. What is the tens digit of (15\/(-6))\/((-81)\/c - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163 * 0.1.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30864 is divided by 10286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 2*n + 2*n + (61 + 28 + 27)*(-1 + 1 - 3*n)*(3 - 2 - 3*n + 0).\nAnswer: 1045*n**2 - 348*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2709 - 2708 + 348*x + 9*x**2 - 4*x**2.\nAnswer: 5*x**2 + 348*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from liil.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -421\/9. Let q be 3\/10*15\/(-6). Put 3\/4, q, h in increasing order.\nAnswer: q, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -k + 142, -152 = -k - 0*k + 7*y. What is the greatest common factor of k and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 16*d**5 - 17026*d**4 + 4597696*d**3 - 367480622*d**2 - 325655512*d + 46439848 = 0.\nAnswer: -1, 1\/8, 182, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let h be a(2). Let l(o) = o**2 + 8*o + 11. Let m be l(-8). What is the greatest common divisor of m and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 452012 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -21*6\/18 - 3*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*h - 46. Let i be (h*2\/4)\/(-1). Let z = i + 2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -9. Which is the smallest value? (a) s (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4252 is divided by 479?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -339 - -1?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(75) - (sqrt(27) + (sqrt(27)*-1 - sqrt(27))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55604252 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66333440 and 800?\nAnswer: 331667200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77705 is divided by 127?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 516*o**2 - 23910*o + 24428.\nAnswer: -2*(o - 1)*(o + 62)*(o + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -327 + 32.3\nAnswer: -294.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10690955, -21381887, -32072813, -42763733, -53454647?\nAnswer: -64145555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-12)*(-336)\/1764. What is the nearest to 19\/3 in 5, 2, f, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 3*g, -3*q + 0*g - 4*g = 27. Let f(m) = -7*m**2 + 9*m + 5. Let s(v) = -3*v**2 + 4*v + 2. Calculate q*s(h) + 2*f(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/4, -254, 0.5, -639, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 222 * -0.1\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z + 2. Let u = -122 - -1100\/9. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 776*v - 4685. Determine u(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -5*z**2\/2 - 83*z - 2. Let r(n) = n - 4. Give -5*r(j) + 4*x(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10224550 (base 6) in base 15?\nAnswer: -5d989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.5 (b) -4 (c) -1\/4 (d) -1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706737.528ms to weeks.\nAnswer: 0.0011685475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1453 (base 8) to base 3\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 582513674 to the nearest integer?\nAnswer: 24135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14. Solve 2*w = -i*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2720 and -67\/30.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/312 (b) 3 (c) -3 (d) 0.0559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 1. Calculate the greatest common factor of 24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -15, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhrhrhhhhrhr. Give prob of picking 2 h and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/2 - 3*n**2 - 19*n\/2 + 12 = 0. Calculate n.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbc when three letters picked without replacement from {c: 7, t: 1, b: 5, e: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*j + 7353627 = 5*p - 542*j, 0 = -4*p - 3*j + 5882932. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218 - -680\/3. Let f = -22\/3 + l. What is the second smallest value in -4\/5, f, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 2*c**3 + 24*c**3.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880425 and 27391.\nAnswer: 6162975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 276\/228467 or 0?\nAnswer: 276\/228467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-3)\/(-27))\/((-7)\/21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2 - 2*l + 3687. What is the remainder when a(0) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*d**2 + 220*d**2 + 226*d**2 + 207*d**2 + 215*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 373053139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 19\/(-2))*(-12)\/21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-220)\/(-60))\/(-11))\/(2\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(5*sqrt(12)\/sqrt(3)) + sqrt(84)\/sqrt(3) + 2.\nAnswer: 2 + 11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from rktuzok?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 25333*v + 23 - 25017*v.\nAnswer: 316*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(425) + -1 + -2)**2 + -5 - ((sqrt(425) - -2*sqrt(425)*1) + 1)**2).\nAnswer: 240*sqrt(17) + 13588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51.251 and 1.8.\nAnswer: 53.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79800600*d**4 - 13952411*d wrt d?\nAnswer: 957607200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13771 is divided by 6882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -33*p + 8. Let l(h) = 8*h - 4. Let k(r) = -4*l(r) - z(r). Let a be (-3)\/((-3)\/(-12) + 0). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/260 and 103\/105?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6822953*s + 6822994*s + 3280 = 0 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 4*x**2 + 6*x - 7. List the prime factors of h(-5).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. What is d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 975\/4 (c) -33 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*w + 38, 5*w - 65 = z - 1. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -101. Let i = z + 166. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*t + t + 16, -3*t + 10 = -2*c. Solve 0 = r - 0*r + c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(6\/27 + 427\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*y + 28, 241 = -2*c + 4*y + 233 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:39 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0 + 0)*(-19 + 19 - 17*i**2).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -u + 5, 3*i = -3*u - 2*i + 37. Suppose 3*t - y - u = -t, 5*y = -5. Let g be 3 - -2 - t - 1. Let w(f) = -f. Give w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3965*v - 3968*v + 8, -2 = 4*k + 3*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -91*a**2 + 992*a + 97. What is q(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17544420.\nAnswer: 2, 3, 5, 29, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 8. What is the lowest common multiple of r and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - b = 9 + 9, 2*o = 3*b + 15. Let u = -24 + 24. Let p be 0 + u\/(3 - 2). Solve p*z = 3*z + o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/812642 and -103\/210.\nAnswer: 85327410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2111960, 2111945, 2111930?\nAnswer: 2111915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s*s*s**(-6))\/(s\/(s\/(s\/s**(2\/7))))**(-42))\/(s*s\/(s*s**(-2\/7)*s)*s*s**(-2\/17))**(18\/7) assuming s is positive.\nAnswer: s**(24154\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100001000111 + -110?\nAnswer: 1001100001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m**3 - m**2 - m - 1. Suppose 2*p + 1 = k, -5*k = -4*p + 3*p + 4. List the prime factors of n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13035 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -0.1 (c) 10 (d) -7 (e) 40 (f) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66824132 and 1956?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5811 divided by 59\nAnswer: -5811\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 7. Let j be s(-8). Let x be (1 - 0) + -4*j. Let p = -4 - x. Is p < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 83 = -793. Calculate the remainder when p is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26547197 smaller than -26547196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. What is the first derivative of 0 + 3*u**f - 1 + 4 wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u**2 + u - 1. Let c(m) be the first derivative of 7*m**3\/3 + m - 2. What is the remainder when p(1) is divided by c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 88227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20630543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 233.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0919 bigger than 583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 10, -26 in increasing order.\nAnswer: -26, 10, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - p + 2. Let m be g(-2). Let u be 3*(20\/(-15) - -2). Factor 2\/3*w + 32\/3*w**5 - 20\/3*w**u + 0 - 80\/3*w**m + 22*w**3.\nAnswer: 2*w*(w - 1)**2*(4*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 17 = -47. Suppose -5*j = -3*l - 156 + u, 3*j - 106 = 5*l. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from xzxlzzoxxoixlzlzix.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298091779 to the power of 1\/3, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*5\/(-3) - -1. Suppose -12 = 2*b - n*b. Suppose -4*j + 3*g + 16 = 2*g, 3*g = 0. Sort 2, b, j in decreasing order.\nAnswer: j, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20077 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: Is 14 a factor of 117082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4637.979 milliseconds in hours?\nAnswer: 0.0012883275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 > 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = u + 452*b - 447*b, b = -2*u - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 4:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 8*b + 9. Let t be g(-8). Differentiate 0 - 1 - t*q**4 + 10 with respect to q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let j(s) = 371*s + 691796. What is j(k(g))?\nAnswer: -371*g + 691796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 1. Let k = 1809 + -1798. What is the smallest common multiple of k and q(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y**2 - 3*y - 23. Let d be k(6). Let q = d - 193. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 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: Three letters picked without replacement from mmxmmmmmmmemmmmm. What is prob of sequence mme?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 - 14*d - 8 + 4 + 3 + 36*d. Give a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1122 - -794. Calculate the remainder when d is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -40418 and -40418 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -17175648, 2, 1 in descending order.\nAnswer: 2, 1, -17175648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/20)\/(1254\/285). Which is the closest to 353? (a) u (b) 0 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + 0 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -620, -621, -632, -659, -708, -785, -896, -1047?\n\"Answer: -f**3 + f**2 + 3*f - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 19414350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 19 = 28*p. Let i(b) = -5*b**2 - 94*b + 26. Let l be i(p). Let v(m) = -16*m + 13. Let r(y) = 5*y - 4. Give l*r(c) + 2*v(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/187? (a) 3\/7 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -480 - 186. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((4\/(-19))\/(-2)). Let g(q) = -q**2 - 12*q - 16. Let u be g(-5). Calculate the highest common divisor of m and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 times 19.558?\nAnswer: -5710.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88415971 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3227?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*b**2 + 16416*b - 16416*b - 591*b**4 + 290*b**2 - 61*b**2 - 3 wrt b?\nAnswer: -14184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = -81*b + 122*b. Solve -b*h - 37 = 75 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from yyqaayaayqaaeaky.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124167 is divided by 2298?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 378\/19 greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -190\/11 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 312 = 34*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 54869587?\nAnswer: 54869586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 138, 312, 554, 864, 1242?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 + 6641009*w\/5 - 46487014\/5 = 0. Calculate w.\nAnswer: 7, 6641002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 36 = 3*a. Let w(c) = -9*c. Let q(l) = 2*l**3 + 2*l**2 - l + 1. Let b be q(-2). Let p be w(b). What is the highest common factor of p and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)\/(0 + 2). Suppose 0*j + 5 = -2*j + 5*i, d = -i + 5. Suppose -5*g + 5 = -20. Solve j = -2*l, -g*z - 5 = -4*l + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6494 and -19\/4.\nAnswer: 12988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j + k, 5*k = 3*j - 8. Let y be ((-1)\/(-9))\/(j\/(-2)). Let o = -2\/565 + -1092\/10735. Which is the closest to -1? (a) o (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3)*((-3)\/(-2) + -2). Suppose d = 8*k + 455 - 1455. Let v = 78 - 62. Calculate the remainder when k is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 131399903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 32. What is m(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7. Suppose l = 4*o + o - 10. Solve 2*c + 3*b + 0*b = -4, c = -3*b - o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3\/5, 0, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547.7 + -2.0756855053.\nAnswer: 545.6243144947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (1 + (-7 - -30))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -15*f**4 - 63869*f**3 - 314807*f**2 - 361499*f + 25518 = 0.\nAnswer: -4253, -3, -2, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - 9*w + 4*w**2 + w**2. Let x = 11 + -19. List the prime factors of y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6 = -2*u, -6*w - 3 = -2*w + u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 greater than or equal to -981511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471 + 496. Suppose 0*l - 2*l - 12 = 0. Let c be 20\/15 + (-4)\/l. Solve 3*j + c*j + g = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let v(m) = 46*m - 1. What is v(t(l))?\nAnswer: 138*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 14) in base 12?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -7 - (-14 - -3 - -7)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + x**2 - 1. Let z(d) = 8*d**3 + 6*d**2 - 185*d - 6. Give 6*g(o) - z(o).\nAnswer: -2*o**3 + 185*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -13. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 97*m - 848. What is the remainder when 324 is divided by v(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -275668149 smaller than -275668150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -519*-3\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - 73*a - 36. What is j(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 11*x**2 - 8*x - 14. Let y be i(10). Suppose 3*r - 1 = -4*q + y, 0 = 5*q - 5. Do -3\/13 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 150.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q - 6. Suppose 12*c = 9*c - q. Let f be (-14)\/(-20)*c\/(-7). What is the second biggest value in -1, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n + 5*d - 40 = 0, 3*n - 2*d = 30. Let b be n\/(-6)*126\/(-35). Solve 0*h - 5*h = 4*f - 7, -3*h + b = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -0.73221673.\nAnswer: -9.73221673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and 1\/14244?\nAnswer: 56976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2242142040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -g + 77, -2*s + 3*g + 13 + 76 = 0. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Suppose 0 = s - 6 + 5. Calculate the highest common divisor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22437479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539146771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654152 divided by 4.\nAnswer: 163538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + n = 63, 5*n = -2*s + 6*s + 95. List the prime factors of (9\/6)\/((-3)\/s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4\/24 + 1 + 47\/(-94).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.5 (c) 5 (d) 2 (e) 0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*o - 11*o - 17*o + 130*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - y**3)*(2 - 2 + 2*y**2) - 2*y**5 - 4*y**5 + 5*y**5 + (0*y**4 + 2*y**4 - 4*y**4)*(2*y - 3*y - y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*m - 4, 0 = -4*a + 5*m + 8 + 22. Is 7 a factor of 34 + -2 + (-20)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) -0.06 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 20*z - 17. Let r(x) = -2*x**3 - 7*x + 6. What is -6*c(q) - 17*r(q)?\nAnswer: -2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(605))**2*-5.\nAnswer: -9135 - 660*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y*y**26\/y*y*y))*y\/(y\/y**11) assuming y is positive.\nAnswer: y**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 219*c**2 - 85)*(0*c + 3*c - 2*c).\nAnswer: -219*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*q + q - 14*q**3 + 10*q)*(-1 + 2*q + 9*q - 6*q) to the form n + b*q + g*q**4 + d*q**3 + k*q**2 and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1307.96459 + 1308. What is n rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1962068\/57 + -34421. Find the common denominator of -1\/33 and s.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3338*m**2. Let p(w) = 172*w**2. Determine p(l(b)).\nAnswer: 1916465968*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9397?\nAnswer: 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18.76251 centuries?\nAnswer: 22515.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -319. Let i = -2 - -2. Let w be i - 2 - (8 - 46). What is the highest common factor of d and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 7*s + 3. Let d be j(-7). Let x(w) = 9*w + 7 + w**3 - 2*w**d + 7*w**2 - 4*w - 9*w. What is the units digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.5 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 207*c**2 - 21724*c - 1130. What is l(105)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7616 and 833?\nAnswer: 53312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0 - 1\/8*t**4 + 0*t**3 - 5*t**2 + 0*t. Let x(k) = -3*k. Calculate p(x(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-2 - -1) + 0). Let t(l) = -2*l - 3. Let s(n) = -n - 1. Let r(h) = s(h) - t(h). What is the units digit of r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z - 13. Let q be v(-6). Let o = 33619\/20 - 1685. Calculate the common denominator of q - -1 - (-60)\/(-56) and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1657833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 270469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4754 + 4759. Let d = -3 - -5. Solve -g*t + d*t - 14 = 5*v, 3*v + 5*t + 18 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4237428 is divided by 23411?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*v + 832, -17 = 4*v - 1. Suppose -166*f + d*f + 174 = 0. What is the least common multiple of f and 9?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 8*c**2 + 4*c - 10. Let q = 14 + -21. Let v be w(q). Suppose -z = -2, v = k - 0*z - 5*z. 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 biggest value in -13498, -1835, 3\/4, -1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1275786.2 to the nearest 10000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 81*a + 1404. Let s(f) = 5*f + 87. Let y(n) = 33*s(n) - 2*v(n). Let x(q) = 3 + 4 - 7 + 2*q**2. Give x(y(m)).\nAnswer: 18*m**2 + 756*m + 7938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a - 2. Let q be a - 22\/20*6. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*j**2 - 261689*d**2*j - 2*d**2 + d*j + 338*j**2 - 27761 wrt d.\nAnswer: -6*j**2 - 523378*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1438124 and 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + 4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 8. Let a be b(6). Let g be (-4)\/(0 - (a - 0)). What is the units digit of g\/(-3) - 78\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let d be 5\/(-6)*1\/5. Which is the second smallest value? (a) d (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84489 + 0.42\nAnswer: 84489.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**(1\/6))\/b)\/(b**(-2)\/b))**23\/((b\/b**(-2))\/b**(3\/5))**26 assuming b is positive.\nAnswer: b**(1693\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5.144689 centuries to decades.\nAnswer: 51.44689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2483 and 52.\nAnswer: 9932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - 6 - 2) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.4199l to millilitres.\nAnswer: 170419.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4898916, -0.4, 17\/5 in ascending order.\nAnswer: -4898916, -0.4, -0.1, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73901287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704519139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Let g(w) = -7*w - 2. Let o(b) = -5*d(b) - g(b). Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*a**3*k**2 - 2*a**3*k*l + 2*a**2 - 5*k**3*l + k**3 - 42*k**2*l wrt l?\nAnswer: -2*a**3*k - 5*k**3 - 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 15*d**2 - 8*d - 7. Give z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k**2 - 2*k**4 - 3*k - 5*k**2 - 9*k**5 - 4*k**4 + 12*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -2)\/(3\/(-2)). Let c = u - 0. Find the second derivative of 2*i - i - c*i + 2*i**3 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1235 + 808. Let c be 1\/(-1) - (-5165)\/(-12). Let i = z - c. What is the common denominator of 9\/14 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -212, -6\/7, -6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196032 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: 0.16787 times -28\nAnswer: -4.70036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*z**2 + 50*z**2 - 48*z**2 + 88*z**2 + 175*z**2.\nAnswer: 454*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152631 is divided by 16954.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16651754650 from -1.\nAnswer: -16651754651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 68. Are -48 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t**3 - 7*t**2 - 8*t + 15. What is the units digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62178 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.62 - 3.56. Let l = x - 0.06. Let d be 1\/3*24\/(-28). Which is the nearest to d? (a) -1 (b) l (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194387630 - -0.049.\nAnswer: -194387629.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2 - 3*g**3 - g**4 + 14*g**3 + 6*g**3 + 172*g wrt g?\nAnswer: -24*g + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*m = -18, 0 = -0*v + 2*v + 4*m - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7680)\/430)\/128*3\/27.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.024 + -27.024040215. What is r rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 725\/208628 or 3?\nAnswer: 725\/208628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:40 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*p**3 - 415*p**3 + 140*p**3 + 139*p**3 - 1749 in the form n*p + k + v*p**3 + t*p**2 and give k.\nAnswer: -1749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 157 + 143)*(j + 4*j - 4*j) + (j - 4 + 4)*(-5 + 3 + 3).\nAnswer: 190*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -156.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 251.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -0.4 (b) -0.3 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y**4 - y**4 - 9*y**4)*(-y - 2*y - 5*y).\nAnswer: -40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wixbixxwmmxa. Give prob of sequence xwx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 45*i**3 - i**2 + 38*i + 6. Let x be t(5). Suppose 0 = 4*u + 5*n - x, -u = 6*n - 5*n - 1449. What are the prime factors of u?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*a**3 - 476 - 72*a**3 - 640 + 325 wrt a?\nAnswer: 558*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 3*m = q + 21, -4 = -2*m. Let d(k) = 0*k + q + k**2 + 2 - 5*k. Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 111 + 53 = 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*o - o + 17, -3*g + 27 = 4*o. Let h(q) = -3. Let j(z) = z - 7. Let f(s) = -5*h(s) + 3*j(s). Does 9 divide f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/57660 and -23\/1486.\nAnswer: 42841380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -593*c - 601*c + 1185*c, 0 = 4*j + 2*c - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g**2 - 234*g + 2461. Calculate u(13).\nAnswer: -3285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -6*a. What is the closest to 0 in -2\/11, -5, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.811 * -6043\nAnswer: -186190.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 0. Suppose -4*b + 45 = o. Calculate the remainder when 19 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, m: 10, o: 2}. Give prob of picking 1 s and 2 o.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3*b - 1 - 6*b.\nAnswer: -9*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/10 of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1074724*u**5 + 507926*u?\nAnswer: 21494480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3718340, -3718316, -3718292?\n\"Answer: 24*u - 3718364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 7. Let b be w(-5). Let f(k) be the first derivative of k - 1\/2*k**2 + 1. Determine f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.5 - -31. Let u be (-27)\/6*(-1)\/(-6). Let z = -0.1 - -2.1. Which is the third smallest value? (a) u (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 0*q. Suppose -2*p + 2 = -2*y, -8*y + 3*y - p + 19 = q. Suppose -l - 3*l = -20. What is the lowest common multiple of y and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*o**2 + 58 + 110*o**2 - 59 - 157*o**2 + 1.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/11)*u**(-6)*(u*u**(-5))\/((u*u\/(u**(-5)*u)*u)\/u))\/(((u\/u**(1\/5)*u)\/u**(-3\/7))\/(u**5*u**(-1\/5))) assuming u is positive.\nAnswer: u**(-999\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 458076\/58835 - 1\/16810. Let w = -1393\/472 + -84\/59. Find the common denominator of w and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010101 + 10?\nAnswer: -10011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 46797412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p**3 + 4*p**3 - 8*p**3)*(-5 + 5 - 23*p) to the form f*p**3 + q*p**4 + n*p**2 + u + r*p and give q.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q + v + 224 = 0, -4*q + 2*v + 178 = 0. Suppose 4*s - g + q = 0, g = -s - 6 + 1. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7432*b**4 + 9*b**3 - b**2 - 30956*b + 2 wrt b.\nAnswer: 178368*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218479\/69179 + 1\/3641. Let d = 705\/133 + v. What is p in 6\/7*p**3 + d*p**4 - 6*p**2 - 9\/7*p + 27\/7 + 3\/7*p**5 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)*(-2)\/(-8). Let x = 27 + -39. Let r be (x\/3)\/(4\/(-3)). What is the third smallest value in k, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6, 12, -59, 3.\nAnswer: -59, -2, -1, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4463937 - -4463936.80000245. Let a = m - -0.2. What is a rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*y - 26, -3 = 2*i - 3*y - 21. Suppose 0 = i*d - 4*d + 12. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22218990 divided by -7333.\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 2*q + 5. Let n(h) = -h + 3. What is -3*l(b) + 5*n(b)?\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131071742.\nAnswer: 2, 65535871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 20 - 95 + 104*i**2.\nAnswer: 104*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16*u = 65. Let p(i) = -i + 17. Let q be p(u). What is the highest common divisor of 204 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1080*s + 6176. Determine t(6).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596946*i**2\/11 + 7163350*i\/11 + 24\/11 = 0 for i.\nAnswer: -1\/298473, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-4))\/(4*(-7)\/56).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 2. Let j(g) = -16*g**2 - 11. What is -11*a(f) - 2*j(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/(-330))\/(3\/(-18)). Factor 0 - 2\/5*y + u*y**2.\nAnswer: 2*y*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 48.6. Let g = 1 + -2.4. Let s = -1.1 - g. Put s, -2\/3, l in increasing order.\nAnswer: -2\/3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27284, -54569, -81854, -109139?\nAnswer: -136424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*o + 3, -4*o = -b - o - 6. Suppose 120 - 678 = -b*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:48 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 23*h - 39. Suppose -h*z + 61 = -d, -4*z + 2*d + 50 + 32 = 0. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 + 6*a + 9. Let f be s(7). Let b = 0 - 6. Is 3 + b + 0 + f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2. Let t be o(-1). Let x = 2 - t. Let p be (-8 + 0)*x\/4. Solve p*k - 2 = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 - 33*f + 13*f + 6*f - 11*f as t + y*f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 + -c8d4?\nAnswer: -c948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose k*d = -3*w - 14 + 41, 2*w - 18 = 5*d. Let x = -39 - -64. What is the remainder when x is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338963753?\nAnswer: 439, 772127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -59*w**9\/252 + w**5\/15 - 23*w**3\/2 + 368*w**2. What is the third derivative of s(t) wrt t?\nAnswer: -14160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 20 = -61*v - 25*a + 24*a, -2*v + 6*a + 100 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/((s\/s**13)\/s*s)))))\/s*s*s*(((s*s\/s**(-2\/5))\/s)\/s)\/s)**12 assuming s is positive.\nAnswer: s**(-696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(5350\/4280).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 154 * -4992\nAnswer: -768768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from {b: 3, k: 2, g: 7, l: 3}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -78. Let r = 22 + q. Let b = 85 - 82. Put b, r, -1 in descending order.\nAnswer: b, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 10\/6141083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/((-6)\/(-30) - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.054, 5\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t + 132513 = -34758. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 56*z**2 + 2*z + 13. What is the remainder when j(28) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-1\/5)*a*a**(1\/12))\/(a**9*a*a**(-2\/21)))**(1\/29))**(12\/7) assuming a is positive.\nAnswer: a**(-2949\/7105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.9633098 to 0 dps.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*v**3 - 37*v**3 + 504*v**3.\nAnswer: 669*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 2*d - 5*d. Suppose 0 = 4*r + 5 - 1, -45 = -4*t + r. Suppose -t*f = -13*f - 6. Calculate x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738\/615*(-17785)\/(-3)?\nAnswer: 2, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, -39\/5, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 702\/3672 - (-3)\/51. What is the second biggest value in j, 19, -3, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338 - -220. Let i = -112 - b. Which is greater: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1916 = -4*g, 5*g - 972 = -h + 3*h. Let z be 1\/(3 + (-82176)\/27411). Let j = h + z. Which is the smallest value? (a) 0 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 636618514 - -1?\nAnswer: 636618515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*g - 3*g**2 - 72*g + 267 - 243.\nAnswer: -3*(g - 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhqm when four letters picked without replacement from {q: 4, h: 2, m: 1, l: 8, z: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -6. Calculate the highest common factor of q and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108514692 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106\/657 - 28\/73. Which is the fourth biggest value? (a) -3 (b) -2\/23 (c) -0.04 (d) 6 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - c = -23980. List the prime factors of c.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*u + 7*w - 9*w, -5*u + 2*w + 27 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2185*j**4 - 8*j**3 - 23776*j**2 wrt j?\nAnswer: 52440*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -632703 (base 8) in base 11?\nAnswer: -134067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 29*i - 105 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2466\/5 (b) 2.7 (c) -585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251417975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/9)\/i)**(-12)*i**(-15)\/(i**(-4\/7)*i) assuming i is positive.\nAnswer: i**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 2. Let j be k(-2). Let m(a) = j*a**2 + 0 - 5*a - 2*a**2 - 2. What is the tens digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137386, 547741, 1231666, 2189161?\n\"Answer: 136785*m**2 + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -6*x + 0*x**2 - 1\/4*x**4 + 0 + 0*x**3. Let q(t) be the first derivative of t**2 + 2. Determine k(q(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 103 (b) -3.9 (c) -556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1\/5, 0.33, 6, -4, 2\/3 in descending order.\nAnswer: 6, 2\/3, 0.33, 1\/5, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105590381.8 rounded to the nearest one hundred thousand?\nAnswer: 105600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2398275.2\nAnswer: 9593100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 5. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -495*x - 55. Let l be z(-2). Calculate the greatest common divisor of 1705 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + -16)\/(6\/8). Let h be 55\/10 - 2\/(-4). Is ((-7618)\/39)\/(r\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2100)\/(-1302))\/(102\/(-1581))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v + 58999188*v**2 - 58999111*v**2 - 96*v.\nAnswer: 77*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -27*m + 195. Let r be p(21). Let v = -374 - r. Let f = -1.37 + -0.03. Is v < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 14*x - 55)*(-3*x**3 + 2*x**3 + 3*x**3 + (0*x**2 - 3*x**2 + x**2)*(-x + x - 2*x))*(-4 - 3 + 0).\nAnswer: 588*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/12 + 10*a + 24. Let s(l) = 4*l - 1461. What is t(s(i))?\nAnswer: 16*i**2 - 11688*i + 2134521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.12110824 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 41, -2768, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let w = 0.5 - q. Let o(k) = -k**2 - 8*k - 7. Let v be o(-6). Put w, -1, v in ascending order.\nAnswer: -1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357209?\nAnswer: 523, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/23 - 32\/161. Suppose -2*b - 4 = 3*j, 5*j - 4*j + b + 2 = 0. Suppose j = -2*q - 0 - 8. Sort q, -0.5, z.\nAnswer: q, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74.86398l?\nAnswer: 74863.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 10*z + 1. Let u be r(-10). Let s be 8\/u*(-3)\/(-6). Let c(l) be the second derivative of -l**5\/20 + l**4\/4 + 5*l**3\/6 - l**2 - 6*l. Give c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(3*b + 2*b - 4*b)*(-710*b + 90*b - 397*b) in the form d*b**2 + u*b + w and give d.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 2 in ascending order.\nAnswer: -5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {e: 6, d: 1, b: 2, i: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 14*w - 10 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 4*q, -q + 31 = 3*f + q. Let s = -21 - f. Let n be 2\/(-6) - 344\/12. Is s greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 + 567320*h\/3 - 378216 = 0. Calculate h.\nAnswer: -283662, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364.537ns to seconds.\nAnswer: 0.000000364537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.06 or 8123?\nAnswer: 8123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/70 - i**6\/40 + 7*i**5\/10 + 3*i**4 + 86*i**2. Factor o(r).\nAnswer: -3*r*(r - 4)*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 31 = -3*z - 4*h, 2*h = 2. Calculate the remainder when 39 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**5*y - 4656*w**3*y - 2501*w**2*y + 21*y wrt w.\nAnswer: 300*w**2*y - 27936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6005792.3999108 - 6005794. Let y = 1.6 + h. Round y to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 + 0 = 0. Let r be ((-105)\/p)\/((-1)\/(-3)). Let m = -25 + r. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.637 - 0.137. Sort h, -5, 6, -31 in decreasing order.\nAnswer: 6, h, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*18\/(-4914)*(-2)\/(-2).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let v(z) = -z**2 + 1. Let m be v(1). Suppose -q - 2*p = m, 4*p - 2*p = 4*q. Let s(h) = -1 + 1 + q*h - h. What is i(s(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/(-2))\/(2\/(-4)). Suppose 4*h - f = -h. What is the remainder when 19 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/7 (b) 5 (c) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 800 = -54*f + 30*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/30 - -1\/5. Let o(q) = -q**2 - 3*q + 2. Let v be o(-3). Let w be (0 + -1)\/(1 - v). Put -2\/5, w, c in descending order.\nAnswer: w, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1197\/11 and 348 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 142*p - 6220. Give n(44).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*a + 4 = -n, 3*n = 4*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 147 = t - 2*r, 2*t - 4*r - 114 = 0. Let s be (-6)\/t + 106\/34. Solve c - 2*b = -6, 2*b = s*c + 5 + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608431033 to the power of 1\/2, to the nearest integer?\nAnswer: 24666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 756831524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 9*h**4 - 249*h**3 - 3978*h**2 + 17124*h - 9576 = 0?\nAnswer: -14, 2\/3, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 22. Calculate g(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*c - 22 = 0, 2*t - 4*c - 3 = -19. Let i be 1\/(-2 - 9\/t). Differentiate s**2 + 2 - i + 1 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, 6, -1\/6, 0.08?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 402.2 - 400.2. Sort z, 5, 1\/4, 172.\nAnswer: 1\/4, z, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + u)*(-7*u + 2*u - 5*u).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62 and -1.9.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 984 and -2132 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157333?\nAnswer: 11, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711 = -6*l + 669. What is the remainder when l is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18399 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3238340*n**3 - 3*n**2 - 4206108*n - 14.\nAnswer: -19430040*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*h**3\/2 - 105*h**2\/2 - 3*h = 0. What is h?\nAnswer: -2, -1\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 11 + 12 - b)*(0 + 0 - b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-342)\/(-114)*(-1)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3064 rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 5*s**7\/63 + 44*s**6\/135 - s**5\/18 - 11*s**4\/9 + 4*s**3\/27 + 8*s**2\/9 - 31*s. Let n(u) = 0. What is u?\nAnswer: -2, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {h: 2, e: 1, u: 1, n: 1, z: 1, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 288478 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**6\/180 + 23*y**5\/20 - 221*y**3\/6 - 238*y. Let u(q) be the second derivative of r(q). Factor u(z).\nAnswer: -2*z*(z - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2445 (base 8) to base 7.\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d + 65 + 26 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -17*x + 24. What is the units digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*p - 16, -p = 4*p. Let n(m) = -m**3 - 4*m**2 - 2*m + 2. Let f be n(-3). Let j = z - f. Solve 3 = 3*k - 4*x, 4*k - 2*x + j*x + 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 25*(9 - 10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 - a - 4. Let h(g) = -4*g**3 + 9*g**2 + 9*g + 13. Let q(i) = -i**3 + 2*i**2 + 2*i + 3. Let t(r) = 4*h(r) - 18*q(r). Give -5*t(y) + 2*v(y).\nAnswer: -2*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 65. Calculate z(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004144178842 to five decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.3. Which is the closest to 1\/2? (a) s (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crssqrqcrrrc. Give prob of picking 2 c, 1 s, and 1 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 22. Let r be q(9). Sort 15, 6, r in decreasing order.\nAnswer: 15, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6792 and -95\/66.\nAnswer: 74712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-8988))\/(103\/(-618)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 562 = -8*s. What are the prime factors of s?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((196\/(-70))\/14)\/(6\/(-240))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 57.9. Let y = -1.3 - -2.2. Let n = y - f. Which is the smallest value? (a) n (b) 2\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 36*i + 682. Calculate g(41).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 67744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 281 = 17*m - 21*m, -3*m + 370 = 4*w. What is the remainder when w is divided by 572\/24 - 3\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - 10 = 4*p, -3*p = -4*b - 59. Let d be -1*(-2)\/(-4)*b. Suppose -d*z = -3*z - 52. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*i + 6*f**2 + 11*f*i - 15*f + i - 5038518 wrt f?\nAnswer: 4*f*i + 12*f + 11*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 2*u. Let c = 2 + -4. Let f(v) = 21*v - 59*v + 29*v + 5*v**2. Let a(k) = c*f(k) - 9*n(k). Let h(x) = -6*x. What is h(a(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(70\/(-105))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*m**2\/7 + 320*m\/7 + 72\/7 = 0. What is m?\nAnswer: -2\/9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4\/9 (b) 0.2 (c) 263 (d) -2 (e) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 63423408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/13 + -101\/26. What is the common denominator of g and -117\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 33*i**5\/5 + 401*i**4\/5 - 4397*i**3\/5 - 16737*i**2\/5 - 432*i + 972\/5 = 0.\nAnswer: -18, -3, -1\/3, 2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454487952 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + 39*k - 234. Give q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/15*((-26)\/(-65))\/(8\/(-30))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*sqrt(204)*1 + sqrt(204)*2*1)\/(sqrt(192) - 1*sqrt(192)*6).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-40)\/15)\/((-2)\/1629)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from hhnhhhdnehhfdddd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5800\/(-44) + -1 - (6 + -5). Let j = -134 - d. Put 2, j, 1, 4 in descending order.\nAnswer: 4, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998303 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.86? (a) -0.7 (b) -2\/15 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 5. Let h(l) = -l**3 + 4*l**2 + l - 4. Let r be h(4). Suppose 5*m + 10 = b*s, 7 = -4*m + 3*s - r. Put 5, m, -3 in ascending order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 625\/3*t**3 - 175*t**2 + 32*t.\nAnswer: -(t + 1)*(25*t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.0597 + 97.02. Let t = v - -0.1697. Let x = -0.37 - t. Round x to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-170)\/20)\/(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Suppose -4*d + 138 + 70 = 0. Let o(c) = -18*c + 26. Let b(f) = -3 + f - 3*f + 3*f + f. Let g(r) = d*b(r) + 6*o(r). Calculate g(m(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 2*k**3 + 7*k**3 + (-k + k + k**3)*(3 - 5 + 4) + 3*k**2 + 2*k**3 - 3*k**2 to the form a*k**3 + i + x*k + w*k**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28226541 times -5\nAnswer: 141132705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 524 - 473. Calculate the greatest common factor of q and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 2*k. Calculate l(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 1. Let k be g(-1). Let q(b) = -34*b - 5. Is q(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*z + 31302 + 17038. Is 97 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/11))\/(q**3*q)*((q*q\/q**1*q)\/q)**(-1\/25) assuming q is positive.\nAnswer: q**(-786\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/((-520)\/(-26)))\/((-90)\/(-420)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13554 - -17611. Is 4054 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1393 - -925. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by 189.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6d6e (base 16) to base 13\nAnswer: c99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -257.05 - -257. Let k(u) = u**3 + 5*u**2 - 2*u - 7. Let s be k(-5). Sort -5, s, p.\nAnswer: -5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 338*w**3 - 338*w**3 - 20*w**4 + (-w**4 + w - w)*(-3 + 2 + 0) + 3*w**4 + 2*w**4 - 4*w**4 as v*w**3 + h*w + y*w**2 + u + n*w**4 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*m, -5*r = m + 4*m - 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161568245 + 130?\nAnswer: -1161568115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -70. Let z = v + -32.5. Let g = 2.428 + z. Round g to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0807 plus -0.3?\nAnswer: -0.3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (51\/(-13) - -4)*-1. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -41, -2\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 + -290 - (57 + 0).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 2\/3 (b) 25 (c) -0.78 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6210 = 8*k + 170. List the prime factors of k.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, 141, 15\/8, 0.3, 1?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -2 (c) -14.4 (d) 27\/7 (e) 1 (f) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**3 - 27*z**2 - 10*z. Let p(j) = -3*j**3 - 9*j**2 - 3*j. Suppose -5*b + 2*k = 22, -2*b - 5*k + 32 - 6 = 0. Determine b*l(q) + 7*p(q).\nAnswer: -q**3 - 9*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8127*m**5 + 8628*m - 561*m**5 - 8626*m - 1 - 133*m**2 wrt m.\nAnswer: -521280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 80. Suppose t*w - w + 80 = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(9\/6*(-2)\/15). Let y be (z - (-78)\/15) + 38\/10. Solve 3*w = -4*p - 13 - 7, 2*p = 2*w + y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 13*c - 162. Suppose 0 = 10*t - 234 + c. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126978879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 5*c. Suppose -a = -134 - c. Suppose 5*d = 22 + a. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v + 13. Let p(m) = -4*m**2 + 2*m + 2. Let r be p(2). Let q = v - r. Solve -q*t = -7 + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1964702 or -1964693?\nAnswer: -1964693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (12 + -12 + 2)) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 964137077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(405) + 1*sqrt(405)))**2.\nAnswer: 324*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 7. Suppose -n = -5*l + 14, -5*l + s - 5 = -2*n. Suppose n = -5*d + 6. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -115894?\nAnswer: -115894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415521.\nAnswer: 97, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1262 times 0.02\nAnswer: 25.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.04, -1.1354, -7, -13, -3\/4, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 100866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 176*d + 1. Let s(q) be the second derivative of -q**3\/6 + 114*q. Calculate s(n(r)).\nAnswer: -176*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3)*(-135)\/36. Let y = s - -17. What is the remainder when 27 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(35))\/(sqrt(405) - 2*sqrt(405)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2752 in descending order.\nAnswer: 1, -1, -2752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 10*s - 21. Let l be v(-2). Which is the closest to l? (a) 6 (b) -0.1 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1669, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42254.66 nanometers?\nAnswer: 0.00004225466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 4 - ((-6396)\/234)\/((-4)\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106053*b + 7*b**3 + 2*b**2 + b**3 - 106052*b - 7 to the form r + l*b**3 + o*b**2 + t*b and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, 1 y, and 1 a when four letters picked without replacement from jajyyywjwycc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, q: 12, f: 2}. What is prob of sequence fvvf?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -4*p**5\/5 - p**4 + 16*p**3\/3 + 8*p**2 - 110. Factor y(a).\nAnswer: -4*a*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/3)\/(6*6\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**2 - 15*z**2 - 2*z - 20 + 25*z. Let m be y(15). Let f be ((-6)\/15)\/(2\/(-100)). Calculate the greatest common divisor of m and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {w: 5, d: 2, o: 3, i: 7, e: 1}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 744*g - 697*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7430629.\nAnswer: 7430629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.1, -0.3, -3.7, 1.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:15 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18260 = -57*t + 18203 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/21 (b) -1\/2 (c) -1 (d) -0.235 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 7*g**3 - 2*g**4 + 3*g**4 - 11*g**3 to y*g**4 + z*g + u + h*g**2 + j*g**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17364 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 36 = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1351, 2707, 4063, 5419, 6775?\n\"Answer: 1356*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105581215 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/5 + -11*(-21)\/(-1155)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33*(4\/(-4) + -2). Let d = 192 + h. Suppose -d = -4*o + o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6137 - 6029 + 12166 + 23*k**2.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 66*f = 21063. Calculate the highest common divisor of f and 708.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 209.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -4.6. What is the nearest to -0.05 in m, -9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 9*l - 10. Let b be g(1). Let o be b + 3 + (-84)\/27. Put o, -1\/6, -0.3 in increasing order.\nAnswer: -0.3, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5eba (base 15) to base 4.\nAnswer: -10323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51431 is divided by 17130?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/6 - f**2\/2 + 6*f. Let k(q) be the second derivative of 0*q**2 + 2*q + 0 + 1\/6*q**3. What is -3*k(c) + y(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 7095*f - 42614. Give y(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.194458 months in decades?\nAnswer: 0.16828715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007076 < 9007076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (1 - (5 + 0)). Which is the biggest value? (a) 2\/7 (b) -5 (c) 0.07 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -80\/3*u**3 + 5\/4*u**4 + 80*u - 49 - 5\/2*u**2. Suppose j(w) = 0. Calculate w.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 x when three letters picked without replacement from {x: 2, f: 1, z: 1, h: 1, m: 1, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30 - (-224)\/630\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 391*l**2 + 891 wrt l.\nAnswer: 782*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 10. Let p be j(-4). Let v be 3\/2 - (-7)\/14. Find the third derivative of -y**4 + 7*y**v + 8*y**6 + y**4 - 7*y**p wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2094, 2340, 2772, 3390, 4194, 5184, 6360?\n\"Answer: 93*g**2 - 33*g + 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 21. Let y = 7 + d. Suppose 3*b - 4 = -z, -b = -2*z + 22 - y. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6009*c = 5992*c + 13120 - 1356. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + y - y)*(2 + 4 - 4) + 0*y - 5*y + 4*y - y + y - 2*y - 1 + 1 + 2*y)*(0*y - 2*y - 2*y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 6*u**2 + u + 8. What is the remainder when o(6) is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 6*z + 66. Give k(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x**3 + 0*x**3 + 0*x**3)*(-24*x - 26*x + 6*x)*(2 - 4 + 1) + (-x**3 - 3*x**3 + 6*x**3)*(2 + x - 2) to p*x**4 + i*x**2 + w + u*x**3 + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62.1798 + -0.0798. Let v = 30 - c. Let m = 32.1171 + v. Round m to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17439+924.592235\nAnswer: -16514.407765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(0 + 0 - 165\/9))\/((-2380)\/(-8568))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7886377453293250*p**4\/9 + 7885179408802450*p**3\/9 - 133109313840*p**2 + 60665216*p\/9 - 1024\/9 = 0. Calculate p.\nAnswer: -1, 8\/157985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7098056259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from tqqtqmqqttq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3\/5*p**2 - 1 + 1\/5*p**3 + 3\/5*p. Factor m(b).\nAnswer: 3*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6200, 9196, 14190, 21182, 30172, 41160, 54146?\n\"Answer: 999*s**2 - s + 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 0*d**2)*(-6*d - d + 2*d) + 2564*d + 66*d**3 + 2562*d - 5125*d + 2*d**2.\nAnswer: 76*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**(1\/5) assuming z is positive.\nAnswer: z**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 17*u + 12*u + 6*u + 0*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -1230, -2744, -4854, -7554, -10838, -14700, -19134?\nAnswer: -24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-36)*210\/(-39). Let s = 8\/13 + z. What is the biggest value in s, -1, -0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 24 = 3*k, i + k + 3 + 1 = 0. Let y be 3\/18*i\/48. Let n = 383 + -384. Is n smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657b77 (base 12) to base 16.\nAnswer: 1892cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 43 = -m, 0*m = -2*j - 3*m + 9. What is the smallest common multiple of j and (3 + -1)\/((-1)\/(-4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/8 + (-10 - -5). Which is the closest to -0.36? (a) z (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0 + 27*h + 1\/2*h**3 + 1\/12*h**4 + h**2. Factor u(w).\nAnswer: (w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726 - (-10 + (-54)\/(-6)) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 2\/3, 8, 0.9, -6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 42 = -3*s. Let z be (441\/(-245))\/((-3)\/180). Suppose z = -39*w + 43*w. What is the remainder when w is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876970 rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33388 + -33388.09. Which is the biggest value? (a) -2\/3 (b) -0.01 (c) 2\/9 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 1227 = 980. Let h = 10 + -6. Solve n = -h*a - g + 2*g, -17 = 5*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let q be h(-6). Suppose q*t = -0*t + 115. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5611923 to the nearest integer?\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 7. Let o be a(6). Let z = 7 + o. What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 9754, 37186, 91652, 182164, 317734?\nAnswer: 507374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.695 to zero decimal places.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -23, -6, -10 in decreasing order.\nAnswer: -2, -5, -6, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 4, t: 2, e: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70\/3 or -3\/32?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -104.8, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(2)*-2)\/sqrt(7).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 + v + 8. Let z be y(0). Let s(g) = -7*g - 17. Let c be s(-3). Solve -c*l - z = n + 4, 2*n = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 0.3.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:07 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11905720, 11905711, 11905690, 11905651, 11905588, 11905495?\nAnswer: 11905366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**3 + 8*b**2 - 2*b + 11. Let l(q) = 23*q**3 - 32*q**2 + 9*q - 43. Let g(n) = 4*l(n) + 15*y(n). What is g(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(132) + sqrt(132) + sqrt(132)*1 + sqrt(33))\/(sqrt(96)\/sqrt(2) + sqrt(3))*1.\nAnswer: -2 + 7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = 282 - 191 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2) + 1)*(-13 - -3). What is the highest common divisor of k and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.1, 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 16875\/(-30)*(-4 - (-6)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + 0 - -7. Suppose 0*o + 3*o - 7 = -2*q, q = -3*o + a. Solve 0 = o*j + 1 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c + 8. Let d(t) = t**3 + t**2 - 3*t - 3. Determine d(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27557 + 1743 = 4*i, 3*i + 2*d = 21979. Suppose -4*c + i + 13663 = 0. Suppose -5*q = -0*o - o - c, 0 = -o - 3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-15))\/(110\/2200)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 521622 at most as big as -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) - 437\/57?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724175611 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/11)*k**(-2\/27)*k)\/(k**(-2\/13)\/k**(-1\/3)))**19 assuming k is positive.\nAnswer: k**(68096\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/57, -3, 4\/5, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/163944 and -3\/112.\nAnswer: 2295216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 5*y - 2. Let s be p(-1). Suppose -4*d + 5*n = -0*d - 1609, s*d - 787 = -n. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5322887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2076 is divided by 409?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -1, -11\/17, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.85 + 1.55. Let t = 2 + -3. What is the closest to t in 2\/11, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 16, -5*o + 4*m + 3 = -3. Let i be 3\/18*o - (-1123)\/3. What is the highest common factor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**3 + 6*k**2 + 6*k - 1. Let l(g) = -23*g**3 - 17*g**2 - 17*g + 2. Calculate -17*f(n) - 6*l(n).\nAnswer: 2*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 11*f - 10*f)*((-f + f - f)*(-3*f**2 - 2*f**2 + 4*f**2) - f**2 + f**2 + 2*f**3 + 0*f**3 - 2*f**3 + f**3 - 2 + 2 + 2*f**3).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721262 to the power of 1\/2, to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + a + 2*a - 291 = 0, -4*a = -4*s + 364. Calculate the remainder when s is divided by 2\/(-6) - (188\/(-6) - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 74. Suppose -2*t = -5*n - 19, g*t + 31 = 7*t - 3*n. Sort t, -2\/5, -4, -4\/7 in decreasing order.\nAnswer: t, -2\/5, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 5 + (-5)\/5. Solve -x = -3*x - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/284 and 14\/595961.\nAnswer: 169252924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165219\/1645 - 703\/7. Let d be -4 + (38811\/4230 - 1). Let l = w - d. Calculate the common denominator of l and -137\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -0 - 0. Let c = -95576 - -24945293\/261. Let t = c - -8\/29. Is t <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.003 rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25\/4989 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2801 + -9?\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -135*n - 1. Let f(q) = -3*q + 1. Calculate f(a(l)).\nAnswer: 405*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168733534 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35682650?\nAnswer: 2, 5, 713653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 - 5\/6*q**4 - 3*q**2 + 4*q + 0*q**3. What is the derivative of c(m) wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -17635?\nAnswer: 17635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:51 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/6, 2, -34543, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-50) - 0)\/((-18)\/298) and -89\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287127.5665 rounded to the nearest 1000?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and (-4023)\/432*8\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 10*w - 3*p = -309, -5*p + 461 = 3*w. Calculate the greatest common factor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*c - 14811 - 15174 - 83*c + 29689 + (2 - 7 + 3)*(2*c - 3*c + 3*c).\nAnswer: -154*c - 296","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 6. Suppose -16*k + 12*k - 8 = 0. Let c be r(k). Let o be c\/(-2) + (-11 - -20). Solve -2*f = -o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177142 and 17537058.\nAnswer: 17537058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 453*o**2 - 25 - 1556*o**2 + 24 - 3913*o**2 + 1025*o**2 as u*o**2 + j + m*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let v(q) = -3*q. Determine 5*j(o) - 2*v(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose 38 = -5*q - 2*m + 91, -24 = -2*q + a*m. Let l = 13 - 3. Calculate the lowest common multiple of q and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*d + 35, d + 19 = -4*o - 0*d. Sort o, -7, 3 in ascending order.\nAnswer: -7, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6531056 (base 8) to base 6.\nAnswer: -101255434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Let j = 31.95 + -31.99. Which is the smallest value? (a) -5 (b) g (c) -3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7115*a = -7112*a - 2*v + 9, 3*v - 30 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 1326 - 116 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*t + 6, -6*l + 4*l - t = -3. Let v = -1 + l. Let j be (6 - (9 - 6))*1. Put j, 5, v in decreasing order.\nAnswer: 5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7962004 is divided by 165872?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-15))\/((-2)\/(-9)). Let t = 3074 + -3072. Solve -p - v = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 686328*j + 117761530896.\nAnswer: (j + 343164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 675 + 235*l - 518*l - 247 wrt l?\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699\/300 - ((16 - 1) + (-1479)\/116)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*g - 2. Let u be 4\/g*1*-6. Solve 5*d = 5*l + 25, -u*l - 2*d = -4*d + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)\/((-2)\/1471) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 13*w**3\/6 - 7*w**2 + 9*w. Let b be d(-18). Let l = b + 541. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {l: 1, j: 1, z: 3, x: 3, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 2*g**2. Let o(a) be the first derivative of -3*a**4\/4 - 4*a**3\/3 - 97. Determine 2*o(v) + 5*q(v).\nAnswer: 4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g - 14. Let o(x) = 2*x + 3. Let w(n) = -14*o(n) - 3*y(n). Let m(c) = c. Let t be -39*(3\/(-9))\/(-1). Let z = t - -6. What is z*m(f) + 4*w(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u\/u**(-1\/6))**(7\/12)*(u*u**1)**(-30)\/(u\/(u**(-2)\/u)*((((u**(-4)*u)\/u)\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-3959\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.92 + 0.08. Let y = 0.7 + -0.4. Which is the third smallest value? (a) o (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 + 54\/630*-14. Which is smaller: d or -2\/325?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33287*m**2 + 50*m + 2 wrt m?\nAnswer: 66574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*y = y + 30, 2*x - 3 = -y. Suppose -415 = -x*l - 82. Suppose 3*s - 2*p - p - l = 0, -2*p = 4*s - 130. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989086410 divided by 3.\nAnswer: -329695470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let t = -2 - s. What are the prime factors of t + (1 - (-7 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 99 = -7*i + 3*i, 2*z - 13 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23742 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbxbpnunqqpqqpbpqbq. What is prob of sequence qqp?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -1*1 - -49. Suppose -j - 41 = -y + 4*j, 4*y - 3*j - 113 = 0. Suppose -2*m - 2*n + 4 = -y, 0 = -3*m + n + s. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let d be (-4)\/14 + (-48)\/(-21). Let f(i) = 2*i**d + 38*i - 76*i + 40*i + 5. What is -f(t) - 2*h(t)?\nAnswer: -2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-25))\/3*(1 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/3, -0.5, -1.8, -3, -4\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9720 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3071*f**6 + 4*f**4 + 109*f**3 + 43*f**2 + 3407*f + 5.\nAnswer: 368520*f**3 + 96*f + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4913429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -54.216, -80?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54992\/79 or 696?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1 - 19\/8. Suppose 3*y - 19 = 2*m, 0 = 2*m - 2*y + 8 + 6. What is the second biggest value in f, 0.6, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + 5*g**2 - 49*g. Let z(a) be the first derivative of p(a). Let f(c) = 357*c**2. Determine z(f(x)).\nAnswer: -714*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 8654?\nAnswer: 95194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 - 2*v + 21. Calculate c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -428, -1725, -3902, -6977, -10968, -15893?\n\"Answer: -3*i**3 - 422*i**2 - 10*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31470)\/(-1850) + (-136)\/((-112)\/(-14))?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t**(6\/5))**(-50) assuming t is positive.\nAnswer: t**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.9999964. What is f rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6556211637 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 50 - 2. Let l(o) = o**2 - 8*o + 9. Let b be l(7). Solve 2*n + b*n = -t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14305*n**2*x**3 + 8*n**2*x**2 + 3*n**2*x - 2*n**2 + 28186*n*x**5 + 69268*n*x**2 - 2*x**2 - x wrt x?\nAnswer: -85830*n**2 + 1691160*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 390.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-5) - (1 + -7). Solve 3*q - h = -0*h - 7, -4*q + z*h - 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2144 and 2165088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 22. Let t be i(10). Suppose -8*u + 4*u - t = 0, 3*u = -m + 306. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 1, w: 6, n: 4, y: 1, d: 1}. What is prob of picking 1 w, 1 d, and 1 n?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3*i + 9. Let m(w) = w. Let s(v) = f(v) + 2*m(v). Let b be s(6). Suppose y = -b*y - 3*p + 90, -40 = -2*y - 4*p. Is 25 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 15*a - 8960. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r*w**2 + 83124*r*w - 4378507*w**2 + 213*w wrt w?\nAnswer: -4*r - 8757014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/15 + 148*x\/15 - 256\/3 = 0. What is x?\nAnswer: 10, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 2\/3 (c) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 59 = -3*y, -y + 6 = -2*s + 19. Let g be 2240\/y*(-18)\/(-4). Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(25)\/sqrt(5) + sqrt(5) + sqrt(20)\/(1*sqrt(4) + sqrt(4)) - (sqrt(405) + -5*sqrt(405)*-1)**2*-1.\nAnswer: 7*sqrt(5)\/2 + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20767 divided by 12.\nAnswer: 20767\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12) - 456\/(-288).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 6, 464, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-14)\/35)\/((-4)\/5)). Let y(x) = 19*x - 2*x**2 - x**3 - 20*x - 2*x**s - 1. Let c = 8 + -12. Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*f - 24308 + 43768 - 33503 for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2 + -7 - ((-17 - -17) + -4282)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(52)*-3 + -2)**2 - ((-5*sqrt(13)*2)**2 + (sqrt(637) - 1*sqrt(637))**2 + 1))*2.\nAnswer: -1658 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 17*a**2 + 168*a + 2402. Give q(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 345311033?\nAnswer: 345311031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/7, -11\/3, -3.\nAnswer: -4, -11\/3, -3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*y - k, -5*y = 2*k - 62 - 37. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -95. Let n(i) = g - 4 + 3*i - 4. Let p(q) = -2*q**2. Give n(p(m)).\nAnswer: -6*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 226740000 rounded to the nearest one million?\nAnswer: 227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-3 - 1 - 17)*(3*f**5 + 0*f**3 + 0*f**3) + f**5 + 0*f**5 - 2*f**5.\nAnswer: -64*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 76217*y + 76932*y - 8 - 55648*y. Let g be o(8). Round g to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(58190*b - 58190*b + 2 + 446*b**4).\nAnswer: 892*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -125\/4. Let m = s + 3\/20. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101 - 2?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let x be ((-24)\/14)\/(14\/(-49)). Let f(v) = -3*v + 5. Let y(b) = -4*b + 6. Let u(n) = x*f(n) - 5*y(n). What is u(w(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:22 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16947486 plus -0.189558?\nAnswer: -16947486.189558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14165 + -44189\nAnswer: -30024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.7 in 2\/7, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 159.4 (b) 2\/3 (c) -0.1 (d) -0.4 (e) -3 (f) -0.0408 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 87272\nAnswer: -1832712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1206 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -90. Suppose -49 = -p*n + 161. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 21*b + 19. Let d be l(21). Let j = -23 + 42. Let x(a) = d - j - 7*a. Let r(v) = v**2. Give x(r(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/55 and 41\/245.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22253753 - 1?\nAnswer: 22253752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11568809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1390948 and 17779944?\nAnswer: 408938712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -413, -1, -5, -4 in ascending order.\nAnswer: -413, -42, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623733*v**3 + 623732*v**3 - 1247467*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64740699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 33 = 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 18, 0*l - 213 = -3*q + 4*l - 204 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32004789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**22\/w)**(-1\/49) assuming w is positive.\nAnswer: w**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607230233 to the nearest integer?\nAnswer: 24642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Let p = 4 + v. Let l = 9 - p. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2035549, -2035551, -2035553?\nAnswer: -2035555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111100011 (base 2) to base 13.\nAnswer: -5163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -18, -34, -68, -126, -214, -338, -504?\n\"Answer: -f**3 + 3*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307205 divided by 5.\nAnswer: -61441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5))\/sqrt(7)*6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 7*s + 12. Let h be k(9). What is the least common multiple of 120 and 322\/69 - 2\/h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 46.85\nAnswer: -1.4055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1627632, -1\/3 in increasing order.\nAnswer: -1627632, -1\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -884, -2579, -5094, -8429, -12584?\n\"Answer: -410*v**2 + 355*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1721960697.932 and 5.\nAnswer: -1721960692.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - (0 + -3)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 42*h - 418. Let k be y(32). What is the biggest value in -0.2, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 6. Let t(c) = -3*c + 9. Let y(q) = -5*t(q) + 8*v(q). Let f be y(7). Sort f, 1, -1 in ascending order.\nAnswer: f, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkqqrpkrgrpkurr. What is prob of picking 2 r and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21023, 84300, 189815, 337568, 527559, 759788, 1034255?\n\"Answer: 21119*k**2 - 80*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24*2)\/(2\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from lclhklkcl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21*((-2)\/(-6) - 0). Let v(u) = 3*u**2 - 4*u - 8. Let g be v(h). Suppose -i - 2*i + g = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/4*1136\/(-2). Suppose -235 = 5*i - p. Suppose -2*u = 3*u - i. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 500*s**2 - 2421*s + 145. Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhrgfrwgowgwgrrww. Give prob of picking 1 o and 1 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 173.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -231, -520, -925, -1446, -2083?\n\"Answer: -58*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*f + 26624 = 0, -3*g + f + 94366 = 14549. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23407 divided by -5\nAnswer: 23407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 228 = -10*m. Suppose 4*s + 0*s - m = 5*x, 52 = 2*s - 5*x. Suppose -5*d = -s - 189. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1000*t - 608 wrt t.\nAnswer: -1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 89051 = -89251 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23905.2 + -3105.53.\nAnswer: -27010.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 2*n = -15*t - 4118, 0 = -5*t - 4*n + 10293. List the prime factors of t.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:55 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - n - 2*n + 2*n - n - 2*n + (0*n + 4*n - 2*n)*(-6 + 0 + 4))*(0 - 3 - 27) in the form l + w*n and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -7*d. Is 5 + 213 + d - -4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let p = 4 - -1. Let c = -1640\/9 - -182. What is the closest to v in -2, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-5) - 4\/10. Suppose 0 = -i*x + 51 - 15. What is the units digit of 63\/x + 3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636925903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 131 = -6*j. Let q = j - -45. Suppose -5*u + 232 = -3*a, q*u + 64 = 5*u - 5*a. What is the lowest common multiple of 2 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907585 is divided by 1041?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 816 or -2.1?\nAnswer: 816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3440, -3469, -3494, -3515, -3532, -3545, -3554?\n\"Answer: 2*x**2 - 35*x - 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010342 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 14*i - 35. Calculate n(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -219, -327?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f + 4*h - 38, 3*h = -f + 6. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16582 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268 - 115 - 17*f + f**2 - 126 + f**2 with respect to f.\nAnswer: 4*f - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -1)*12\/(-6) + 30. Suppose 8 = 4*m + 5*g, 4*m - g - 24 = -2*g. Calculate the highest common divisor of m and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + 6 - (5 + 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 3. Let c be z(3). Let q(v) be the second derivative of -6*v + 9\/2*v**2 - 5\/12*v**4 + 0 + 0*v**3. Let l(g) = -2*g**2 + 4. Give c*l(j) - 4*q(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 61 = -3*c. Let w = c + -48. Let f be 0 - (-5 + 2 - w) - -1. Solve 8 = -j + d - 3*d, j = f*d + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 4, y: 6, e: 1, t: 4, a: 2, m: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from {b: 3, u: 3, m: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (-13507)\/(-468))\/(36\/162)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/9)\/((-14)\/(1176\/14)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7037 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 89?\nAnswer: -8.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.36 rounded to 0 decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486545435 a multiple of 3222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002862 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odomooommoomooococm. What is prob of sequence cocm?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3, -1.3 in decreasing order.\nAnswer: 3, -1.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 + -151. Solve -5*o + o - i = 0, 2*j + 2*o = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/12)\/(2 + -3). Let o(y) be the second derivative of d*y**4 + 0 - 2*y - 1\/3*y**3 + 0*y**2. What is the second derivative of o(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/10)\/(-7)*(5 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31167 + 31167. Let p = 3 - 0. Let t = 0.18 - -0.02. Which is the third biggest value? (a) t (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/172 and -17\/384?\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*s + 271*s - 1946*s.\nAnswer: -2004*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - 16\/3*(-15)\/10. Suppose -x*i + 1105 + 2359 = 0. List the prime factors of i.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2541 minus -1.67?\nAnswer: -2539.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4 - 8 + 5*z**2 + 8 - 7*z. Calculate the remainder when u(4) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rei when three letters picked without replacement from erleileelelwelrri?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvlkklkeeennal. Give prob of picking 1 a, 1 k, and 2 e.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47086*s**4 - 140*s**3 + 2774780*s**2?\nAnswer: 1130064*s - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 431817 and 54162.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 31*f**2 + 60*f + 41. Determine d(-29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**3 + v**2 - 2*v + 1. Let t be g(1). Suppose -3*c + t - 3 = 0. Is 20 a factor of (3 + 7)*c*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(2*2\/(-22)). Let c(a) = 2*a**2 + 4. Let h be c(3). What is the greatest common factor of h and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133064, 266155, 399246?\nAnswer: 532337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from znnz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*w + 74, -2*w + 22 = 2*b - 7*b. Let g be 33\/(-11) + 1*5. Let s be g - 4\/(-2)*63. Calculate the greatest common factor of w and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*h**3 - 232*h**3 + 76*h**3 + 81*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 686.32 equal to -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 4*o**2 + 10*o - 7. Let q be i(-5). Suppose r - x = 172, 2*x + q = 3*r - 219. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11500624 is divided by 468?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 11 = -3*t. Let h = 17 - t. Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 34*j - 2 + 107*j - 41*j - 38*j.\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*u + 88, 3*u - 44 - 20 = 5*y. Suppose 7*b - 5*b - u = 0. What is the remainder when 41 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 35*g**2 + 40. Let s(w) = -w**2 - 1. What is 3*n(c) + 120*s(c)?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c + 3*f, -5*c - 3*f = 44 + 8. Is (-16)\/6*12\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**3 + 2 - 2.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38854794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1410*x**2 + 135575*x - 135575*x + x**3 to g + p*x**3 + f*x**2 + l*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51285 - 24812. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, 1 i, and 1 a when four letters picked without replacement from cztitiactaastic.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 1539136*z**4 - 16930652*z**3 - 66183656*z**2 - 106201830*z - 55409688 = 0. Calculate z.\nAnswer: -4, -3, -1, 769579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q**2 - 22*q + 21. Let w be s(-5). Do -244 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -132002232?\nAnswer: 132002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p - 19 = -83*p - 19 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100391900 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - j**2 - j + 7*j**2.\nAnswer: 6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51352556 divided by 1.\nAnswer: 51352556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 3*h**2 + h - 1. Determine w(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 4477*z**2 - 43530446*z + 43525968.\nAnswer: (z - 4728)*(z - 1)*(z + 9206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58136429717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 10*t + 2. Suppose x + 3 - 13 = 0. Let c be m(x). Solve c*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -66, -72, -62, -30?\n\"Answer: a**3 - a**2 - 20*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*(-6)\/30)\/((-26676)\/222300)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (185*-1)\/(-5). Let l = -37 + z. Calculate the highest common factor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 692*t + 1438*t + 835*t - 80*t - 3*t**2 + 5*t**2 to the form l*t + q*t**2 + x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-5)\/(10\/6). Let i be 2\/l - 15\/(-9). Suppose -m = i*m + 5*x - 8, -5*x - 34 = -4*m. What is the remainder when 9 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*f + 4)*(1 + 286*f + 163*f - 281*f).\nAnswer: -336*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 6038784*w + 4558364024832.\nAnswer: 2*(w - 1509696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -80\/26749?\nAnswer: -80\/26749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 2, d: 1, q: 1}. What is prob of sequence pq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3045814804 + 1?\nAnswer: -3045814803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (6 + -1 - 9). What is the greatest common divisor of b and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c + 7. Let m(q) = -422*q**3 - 8*q - 56. What is m(p) + 8*z(p)?\nAnswer: -430*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3045*b - 3040*b = -2, -2*m - b - 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2136.92 + 2138. Let a = 248216.919947 + -248218. Let c = a + i. Round c to six decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*g + 3662 + 39 = -4799 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - n**2 - 4*n. Let x(h) = -h**3 + h**2 + h. What is -g(a) - 4*x(a)?\nAnswer: 2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 + 6*w - 12. Let s be v(6). Let f = -7 - -11. Calculate the least common multiple of f and 1 - 3\/(s\/40).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8234761\/1630 + 5052. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 19*i + 2580. Calculate the remainder when i is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6584814 and 19128?\nAnswer: 4782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2935*b - 821789. Calculate o(-280).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 1 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21127559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 55*i**2 - 29*i + 59. Let j be f(28). Solve 0 = -5*w + j - 26 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*2*72\/96?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388823\/94 or -4135?\nAnswer: -4135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjee when four letters picked without replacement from {e: 3, j: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.02724 to one dp.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-13 - 4\/(-2)). Let y(h) = m*h + 3*h - 11*h - 7. What are the prime factors of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m + 2*m)*(3*m**2 - 3*m**2 + 4*m**2)*(-4*m + 2 + 0*m + 5*m)*(-23160*m + 45889*m - 23072*m).\nAnswer: 2744*m**5 + 5488*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -2*j + 7*j - 5*o, -5*j + 3*o + 530 = 0. Let d(a) = 8*a**2 - 3*a - 2. Calculate the remainder when j is divided by d(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2. Suppose u + 0*u - 5*d - 3 = 0, 4*d + 8 = 0. Let b(m) = -m**2 - 8*m + 7. Let v be b(u). Let z(w) = -w + v - 14. Calculate a(z(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 1342 - 28*m + 351 + 9*m.\nAnswer: -9*m - 991","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {i: 4, s: 5, c: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-24) + (-50 + 59)*1\/(-6). What is the biggest value in 270, m, 4\/3, 4?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:59 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/201 - 409\/1407. Let y(i) = i**2 - 7*i + 3. Let a be y(3). Let z(s) = -2*s - 17. Let x be z(a). Which is smaller: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -7, 8, 43, 104?\n\"Answer: c**3 + c**2 - 9*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 14*l - 15. Solve -3*f + 0*f = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**3 + 3*s**2 + 3*s + 1. Let t(a) = 23*a**3 - 5*a**2 - 6*a - 1. Determine 3*t(u) + 5*y(u).\nAnswer: 9*u**3 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -2*c**3\/3 + 3*c**2 - 14*c. Differentiate k(d) with respect to d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 11*o - 20. Let p be z(8). Factor -1017 + 15*d**3 + 10*d**2 + 5*d**p + 1017.\nAnswer: 5*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 30, 2, -1 in increasing order.\nAnswer: -5, -1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (257\/((-132612)\/774))\/((-12)\/15).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 104. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -254, -574, -1010, -1556, -2206?\nAnswer: -2954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-12)*9\/(-12). Suppose -4*j + 2*n + 32 = 6*n, -z*j - 5*n + 31 = 0. Find the third derivative of j*h**4 - 5*h**2 - 317 + 317 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - ((2 - 5) + 1). Suppose -c*l + 2 = -9*l. Let n be -2*(-1)\/((-2)\/(-3)). Sort n, l, 4.\nAnswer: l, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(-7182))\/(111\/(-296) - 26\/144)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n + 3*n + 5 - n - 28. What is the remainder when 35 is divided by a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 + 7*n + 4. Let j(d) = -13*d**2 + 10*d + 6. Let l = 22 - 12. Suppose 2*g = -0*g + l. What is g*j(s) - 7*v(s)?\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0*l + 19 - 23 + 4 + 2*l. Let z(s) = -s + 1044. Determine z(o(f)).\nAnswer: -2*f + 1044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -434281*t**4\/4 - 871198*t**3\/3 - 2638*t**2 - 8*t + 1966. Suppose f(u) = 0. Calculate u.\nAnswer: -2, -2\/659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43990 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4707, -9411, -14113, -18813?\n\"Answer: o**2 - 4707*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 110. Let n(u) = 21*u. Let s be n(j). Suppose 4*g = -4*o - 4, 8*o = -g + 3*o - s. Solve -x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxvxavljxjvllw. What is prob of sequence javx?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329232157*g + 563825104 wrt g?\nAnswer: 329232157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) 0.04 (d) -13 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:50 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60841378 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17. Let i be 2 - 0*1\/2. Which is the nearest to g? (a) i (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2048 and 89\/916?\nAnswer: 468992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14431259?\nAnswer: 14431259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88227515.\nAnswer: 5, 509, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 321473210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320589184*a**2 + 36*a + 4905081.\nAnswer: 641178368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3501.08 and -3.\nAnswer: 10503.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9*d = 14*d + 8709, -d + 2879 = w. Does 172 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose 3*f + i = -f. Let g(o) = -20*o**3 + o. What is the units digit of g(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 4*c**3 - 6477 + 6477.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535615*t + 5*d + 437 = 535556*t, 5*t - 5*d + 75 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 36*s - 8. Let a be o(-6). Let p be a\/3 + 2 - 15\/(-9). Sort p, 4, 12 in ascending order.\nAnswer: p, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 15195.98 + -334603.\nAnswer: -319407.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -13 - 25) + 7 + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:15 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 4. Suppose -3*d - d + 16 = 0. Suppose -149*i + 195*i + 252 = 109*i. Solve 0*q + i*y = -x*q, d*q = -2*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/19 (b) 3 (c) 0 (d) -10\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l + 1. Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/22791 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35289, -35290, -35291, -35292, -35293, -35294?\n\"Answer: -n - 35288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 2.1. Let p = -1.9 - q. Let r = -1.3 + 1.7. Which is the closest to p? (a) -2\/13 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110559.0614 rounded to the nearest integer?\nAnswer: 110559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45\/54*12\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.35 + -15. Let r = h - 0.3. Let o = r - 0.0532. Round o to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssllslisliil. Give prob of sequence ll.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*z**4 - 4*s**2 - 85637*s*z + 11596417*z**4 - 12*z wrt z.\nAnswer: -24*s**2*z**2 + 139157004*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 75 - 595. Suppose -p = -5*d - 129. Do 13 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 1478.3?\nAnswer: 1477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102503764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27123688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**8\/1176 + z**7\/245 - z**6\/210 - z**5\/105 + z**4\/28 - z**3\/21 - 4*z**2. Factor p(t).\nAnswer: -2*(t - 1)**4*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96712 + -4?\nAnswer: -96716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 10. Let f be k(-13). Let s be (f\/6)\/((-1)\/36). Let u be ((-12)\/s)\/(4\/30). Solve u*c = 4*m - 18, 4 = -5*c - 0*c - 3*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1180, 4723, 10626, 18889, 29512, 42495, 57838?\n\"Answer: 1180*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 10*o + 9. Let g be v(-11). Let c be (-29)\/g + 1\/(-2). What is the greatest common factor of 154 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780.4153 months in decades?\nAnswer: 23.1701275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/132 + (-1272)\/1166.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 2. Let r = 61 + -58. What is the derivative of -2*z + 2*z**r + z + z - s wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219396627*a**2 + 14628713*a wrt a.\nAnswer: -438793254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.6208278 to 2 dps.\nAnswer: 11.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.9 + 10. Let j = -5\/3 + 4\/3. Sort a, j, 3.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1160, -4573, -10254, -18197, -28396?\nAnswer: -40845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -17) + (-7 - 0) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14424850 and -3.5?\nAnswer: -50486975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/(-236)*720\/(-23490)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.731821 to 2 decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 3*d**2 + 2*d + 16. Let a be q(-5). Suppose -a = -7*s + 147. Suppose -755 = -3*w - 5*i, -4*i + s = -w + 309. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(19))**2 + 4) - ((sqrt(114) - -4*(sqrt(114) - (sqrt(114) - (sqrt(114) - (sqrt(114)*-2 + sqrt(114)))))) + sqrt(114))\/sqrt(6))*4 + -3.\nAnswer: -16*sqrt(19) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - q + 4*q in the form f + l*q and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 7*r + 4*r)*(1 - 1 - r) - 3 + 3 + r**2 + 5*r**2 + 0*r**2 - 4*r**2 + 2*r**2 - 11*r**2 - 26 + 23 in the form t*r + d*r**2 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2257 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-436000)\/(-3)*(-300)\/4. What is a rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2932)\/(-24) + -1 + 5 + 71 + (-17080)\/240\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -21*l**2 + 8*l. Let h be 1482\/(-182) + (-1)\/(-7). Let b(m) = 8*m**2 - 3*m. Let s(d) = h*b(d) - 3*v(d). Let j(a) = -11*a - 7. Determine j(s(c)).\nAnswer: 11*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0845406 less than -1.36?\nAnswer: 2.7245406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qdqqddddddqdddddqd.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*2 + sqrt(1088) + -4 + -3*sqrt(153)*-2)**2*-2.\nAnswer: -60008 + 672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57156 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - 4*l**2 - 2*l**2 + 3*l**2 - 13 - 10*l**2.\nAnswer: -13*l**2 + 11*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155363 or 155361?\nAnswer: 155363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 182*g\/3 + 8281\/3.\nAnswer: (g + 91)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -273?\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(36) - 5*sqrt(36)*2 - sqrt(36) - sqrt(36)))\/(sqrt(12)*-2*-2) + -2 + (-5 + -4 + sqrt(363)*-2)**2 + -1.\nAnswer: 787*sqrt(3)\/2 + 1530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7576*s**3 - 16353 wrt s.\nAnswer: -22728*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -57 - (338 + -361)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 7. Let h(t) = t**2 - 2*t**2 - 1 + 8*t - 8*t. Let z(n) be the first derivative of -n**4\/2 + 2*n**3 + n**2\/2 + 5*n + 1. What is c*h(r) - z(r)?\nAnswer: 2*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4941 (base 14) to base 11.\nAnswer: -9684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 24*p + 25. Let s be i(11). Sort -4, 0.01, s, -0.2 in ascending order.\nAnswer: -4, -0.2, 0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 192, 772, 1738, 3090?\n\"Answer: 193*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 20 - 2\/9*f**3 + 28\/3*f**2 + 266\/9*f = 0.\nAnswer: -2, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314059066.\nAnswer: 2, 657029533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 194211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*5\/(-200))\/(8\/(200\/5))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -10.417521.\nAnswer: -52.087605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/3 - 1948688*y**3\/3 = 0. Calculate y.\nAnswer: 0, 974344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1) + (-80 - -75) + -12 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + h**5 - h**5 + (-2*h**4 + h - h)*(2 + 6*h - 2) + (2*h**4 + 2*h**4 - 3*h**4)*(-1 - h + 1).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7040575*o**3 + 6*o**2 - 52122*o.\nAnswer: -42243450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(2 + (-136)\/72). Suppose 5*c + 20 = c. Sort -4, 1, c, p.\nAnswer: c, -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-207)\/21)\/3. Which is the nearest to -0.1? (a) -2\/11 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t**2 - 20*t - 5. Let u(c) = -3*c**2 - 5*c - 1. Let h(o) = -2*r(o) + 9*u(o). Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1))**23)**0)**44 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21403653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96576 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 >= 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317.\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*k*m**3 + 222*k*m**2 + k*m - 48*m**3 - 1059*m**2 wrt k.\nAnswer: -60*m**3 + 222*m**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 6*z**2 - 151 - 18*z**2 - 156.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 + 2*t + 6. Let k be g(-3). What is the highest common divisor of k and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i**3\/i)))\/i)\/(i*i**0*i))**25)**(4\/3) assuming i is positive.\nAnswer: i**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 181 + 182 + 424*o**2 - 448.\nAnswer: 424*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231222 (base 4) to base 3.\nAnswer: 202212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 4 - 7*w + 5*w.\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3125, 3117, 3095, 3053, 2985?\nAnswer: 2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -81, -58, -25, 18, 71?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4 - 4)*(4*x**2 + x**2 - 6*x**2) + 0*x**2 + 2*x**3 + 0*x**2.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(891))**2 - sqrt(11)) + (sqrt(275) + sqrt(275)*3)**2.\nAnswer: 53*sqrt(11) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 64. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + 10 + -18 - 31) + 4 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.5 and 11355213.\nAnswer: 11355209.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642385 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-24))\/5*(-116)\/87?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43617 (base 8) in base 13?\nAnswer: -8452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1815)\/(3\/3)*-1. Suppose -d + 4*w = -w + f, -w + 9123 = -5*d. Let r = d - -10975\/6. What is the common denominator of -15 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*g + 19 = 0, 19 = v - 3*g - 2*g. Let k be (0 - v)\/((-3)\/(-12)). Suppose -k*r + 12 = -20. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8432558 micrometers to kilometers.\nAnswer: 0.0000000008432558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let c(w) = 7*w - 2. Let g = -13 + 32. Suppose 21 - g = h. Suppose -2*z - 2*z = h*o - 6, -3*z - 3*o = -3. What is z*f(a) - c(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505586.\nAnswer: 2, 23, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 25*h - 9*h - 17 - 12*h. What is y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316539455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 705.2 - -221. Let a = r + -838. Round a to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -2*v, 5*v + 2*s + 7 = 5*s. Let w be (13 + -12)\/(v\/2). Is w <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3))\/((-3)\/(-18)). Let z = 28 + v. What is the lowest common multiple of 6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124 - (71 + -125)) + -62\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.01 - -4. Let o = f + 0.009999. Round o to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -25. Suppose -2 = -i - 1. Let x be j\/(i + 152\/(-154)). What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1.3\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxe when three letters picked without replacement from {u: 1, x: 7, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 2110618?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 48160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w + 0*w)*(6*w - 2*w - 3*w)*(4*w**2 - 2*w**2 + 3*w**2).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138072, 270516, 402960, 535404, 667848?\nAnswer: 800292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4664424 is divided by 233221.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -200\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218405.4mg to micrograms.\nAnswer: 218405400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 + 8*b + 6. Let l(h) = h**2 + h. Let p(y) = -6*l(y) + m(y). Is p(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0615957 * -0.3.\nAnswer: -0.01847871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, 32\/17, 27?\nAnswer: 32\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07102 - -0.09102. Which is the closest to -0.1? (a) 5 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1841 - -1971. Calculate the least common multiple of 234 and a.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viuiiicuycivycuiuq. What is prob of sequence yci?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2146522 + -15025648\/7. What is x in -c*x**3 + 9\/7 + 9\/7*x**2 + 24\/7*x = 0?\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/6 + (1862\/(-21))\/(-14) - -780 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4*d - 1\/3*d**3 - 43 - 5*d**2. Calculate q(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-137 + 4*p - 129 + 277) + (-2*p + 0*p - p)*(-3 + 0 + 2).\nAnswer: 11*p + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-248)\/(-1395))\/((-4)\/(-3))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 + 9*x + 1. Let d be n(-2). Suppose -2*q + 2 = -8, -d*q = 4*u + 1. Suppose 13 = -5*f + 3. Put 0, f, u in decreasing order.\nAnswer: 0, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from yhyhyzzzzyhy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 8. Let q be a(-8). Suppose 6*y - 9*y + 8985 = q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 233234 and -56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q - 113 + 1257 = 0. Sort 11, 5, q, -2 in descending order.\nAnswer: 11, 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 436*d**2 - 216*d**2 - 202*d**2. Let w(x) = -x. What is w(o(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/3 - 3*(-1)\/1. Let d be 0\/(r*((-8)\/(-6))\/4). Suppose 5*g - 284 - 541 = d. Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 240000 = -0*v. Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 81765?\nAnswer: 327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49031 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 0, 5, 1 in increasing order.\nAnswer: -14, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3264 + -2132. Factor 4*x - 1130*x**3 + w*x**3 + 6*x**2 + 0*x**2.\nAnswer: 2*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/45310 and 10\/6828217.\nAnswer: 68282170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1466324793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - 5 - (-3 + 4 + 24)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 7*s - 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3) + 2\/6. Suppose o - 180 = -4*x, 3*o + x + 0*x = 485. Suppose 8*u - o = -0*u. Solve -d*s = s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -522*s**3 + 1041*s**2 - 516*s - 3.\nAnswer: -3*(s - 1)**2*(174*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**4*y + 2*d**3*y + 300*d**3 + 421*d**2*y + 286*y wrt d.\nAnswer: 216*d*y + 12*y + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5 - 3 - 1. Let z(k) be the second derivative of -k**4\/6 - k**3\/3 - k**2 - 1640*k. Calculate -6*v(y) - z(y).\nAnswer: 2*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-4))\/((-198250)\/(-12688))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = -3*r, -4*a - 5*r - 79 = -103 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(252) - (-1 + sqrt(252) + sqrt(252))*-5))**2.\nAnswer: -10560*sqrt(7) + 488272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:51 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395 - 84. Let l = -323.09 + o. Let x = -0.41 + l. What is x rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.140509 and -0.07.\nAnswer: -0.00983563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 94. Suppose -t - 31 = -3*p - 0*p, -4*t = -2*p + 24. Suppose -p = -7*g + q*g. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1013 + -1?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 - m**2)*(-2 + 3 + 1)*(-3*m - 3*m - m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-34\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Let f(a) = a + 2. Let q be f(2). Suppose 0 = -z + 7 - q. Put z, i, -1 in ascending order.\nAnswer: -1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22*o**2 - 34*o - 34. Let z(y) = -2*y**2 - 3*y - 3. Let w(p) = -6*x(p) + 68*z(p). Let l(f) = 4*f**2 - 3*f**2 + f**2. Calculate l(w(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**31\/(v\/(v**1\/v))**23)\/(((v\/v**(-2)*v)\/(v*v**6))\/(v*v*v\/v**(-3\/7)*v*v*((v\/(v*v**2*v))\/v)\/v)) assuming v is positive.\nAnswer: v**(-251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000111001101010110 (base 2) to base 7.\nAnswer: 12110104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -16) + -2 + (34 - (63 + -20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 4*l**2 + 14 - 44.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/4? (a) -2\/3 (b) 8\/11 (c) 3 (d) 12\/5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*3\/(36\/20). Suppose 0 = 2*o - 26 + 6. What is the remainder when (-143)\/(-5) + (-3)\/z is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8100 a factor of 4142953062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8521598*u**5 - 2*u**2 - 12248732*u?\nAnswer: -170431960*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1\/4, -4335, 4\/31 in increasing order.\nAnswer: -4335, -3\/7, -1\/4, 4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15446 + 15442 - 19*s + 13*s + 150*s**3 as y*s + v*s**2 + n + u*s**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 224*q - 431 = 997 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -710 - -711. Sort 0.04, j, 0.\nAnswer: 0, 0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2360320 (base 7) to base 15.\nAnswer: -5de91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 0.0699928.\nAnswer: -3.9300072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88 - 7)*-1 - (-2 - 1). Suppose -100*b + 60 = -z*b. Find the second derivative of 46*t - 100*t + 50*t + b*t**2 wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63209573 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10753 is divided by 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216944557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*(-3)\/9. Let j be (4\/6)\/(20\/(-6)). Which is the closest to y? (a) 0.04 (b) j (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(3))\/(-2*(sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2)))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 698540725 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 3*m - m + (-87 + 87 + 15*m)*(-1 - 3 + 3)*(1 + 1 + 0)*(-1 + 0 + 0).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -67 - 101. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9093 times -0.1?\nAnswer: -909.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*sqrt(68))**2 - sqrt(68) - sqrt(68)) + sqrt(68)).\nAnswer: -6*sqrt(17) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -343324*c - 56. Let j be d(6). What is j rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + x - 13*x**3 - x - 113 - 13*x**3 + 21*x**3 to v*x**3 + u*x + c + i*x**2 and give c.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5431 - 5431.001388. Round q to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**4 + 5*m**4 - 3*m**4 - m + 4*m**2 as u*m + y*m**4 + s*m**2 + l + x*m**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.082 - -0.118. Is d bigger than -2\/1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.47431 to 2 decimal places.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 128*t**2 + 764*t + 14. What is c(6)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 1\/8 (c) 82489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 318*p.\nAnswer: 2*p*(p - 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Let h = -58.6 - -58.2. Which is the third smallest value? (a) h (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808733 is divided by 6930.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/10251 and 64\/645813.\nAnswer: 645813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*s**3 - 10943*s**2 + 394949 wrt s.\nAnswer: -18*s**2 - 21886*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 59*l**2 - 2*l - 5. Let k be p(4). Suppose 0 = -0*u - 4*u + z + 1871, -2*u - z + k = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2785 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0.4, -3, -48 in increasing order.\nAnswer: -48, -17, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -4 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 48 - 4*d**3 - d**3 + (1557*d**2 - 3*d - 11 - 1554*d**2 + d)*(2 + 2*d - 2) as h*d**3 + z*d**2 + u + p*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/12)\/1)\/((-10)\/((-320)\/(-432))).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.307793 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*z)*(-2*z**2 + 2*z**2 + 2*z**2) + 3*z - 3*z - z**3 + (6*z - z - 3*z)*(-z**2 + 5*z - 5*z) as y*z**3 + n*z + d*z**2 + r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 63864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 1\/4*d**3 + 1\/4*d**2 - 2*d + 1\/8*d**4 - 1 + 1\/40*d**5. Let i(x) be the first derivative of m(x). Factor i(n).\nAnswer: (n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.97. Let v be 11 + (0 - (-6)\/(-2)). Suppose -2*t = 2*x - 3*x + v, -2*t - 3*x = 8. Which is the second biggest value? (a) t (b) -0.2 (c) 0 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 96*u**2 + 1982*u - 112. Let q be h(66). Solve k + 13 = -5*j, 5*k + q - 15 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 25 = -r + 6*r, -j = -2*r + 3. Which is greater: r or 1\/299?\nAnswer: 1\/299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1648254746 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, q: 2}. Give prob of sequence qo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - 765804?\nAnswer: -765830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 3. Let y(k) = -2*k - 2. Let s be 30\/20*(-4)\/3. Let f(i) = s*p(i) + 3*y(i). Let g(t) = 5*t. Give -5*f(c) - 3*g(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-6))\/((-1872)\/(-1296) - (1 + 0)). Find l such that 129\/2*l**2 + v + 42*l**3 + 51\/2*l = 0.\nAnswer: -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 3*z + 20. Let c(n) be the third derivative of -n**5\/20 + n**4\/6 + 5*n**3 + 11*n**2 - 4. Calculate -5*c(p) + 7*x(p).\nAnswer: p**2 + p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5 + 5 - 2*t + t**3 - 14 - 7*t**2 - 7*t**4 to b*t**4 + q*t + u*t**3 + c*t**2 + a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -9*a**5 - 66585*a**4 + 1044990*a**3 - 2847120*a**2 - 1067616*a = 0?\nAnswer: -7414, -1\/3, 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102561 is divided by 346.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose -2*v + s*v = 3. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113366123 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 29*y + 61. What is the smallest common multiple of m(-27) and 741?\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 22*q**2 - 50*q + 16. What is w(-24)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 + -62?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15915135 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/2))*z)\/z**5*z*z**(-1\/5)*z**0 assuming z is positive.\nAnswer: z**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53744 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j + 98 = 56*j. Solve -j = -u - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25062581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530 divided by -1510?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 71.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(396)*3 - sqrt(396)) + 5)**2 + 1 + 4 + sqrt(396) + 0.\nAnswer: 198*sqrt(11) + 1653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + -1 + -3)**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 4. Let t be b(0). Let h = -1055\/9 + 117. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 8) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 4260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*m = 4, -65*m + 25 = 3*n - 67*m. Calculate the lowest common multiple of 182 and n.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 131455.\nAnswer: -10516.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k - 4*k**2)*(25*k**3 + 5*k**3 + 5*k**3).\nAnswer: -140*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 - -2 - 9. What are the prime factors of (g*(-2 - -3))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m + 142*m - 29*m - 589 = 411 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 8*h + 5. Let l(z) = -z - 2. Let a be l(4). Let b be i(a). Let w = b + 23. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/2 - 3964*f - 2. Let k(t) = 141*t - 2. Determine k(p(m)).\nAnswer: -846*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:34 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 193038208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/5 + 1728*x**4\/5 + 1734*x**3\/5 - 1728*x**2\/5 - 1731*x\/5 = 0.\nAnswer: -1, 0, 1, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 108. Let a be 4\/(-22) + 2744\/88. Suppose 0*k + g - h = -4*k, -2*k + g = -a. What is the highest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738553 is divided by 1606?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389008265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22333 (base 7) in base 3?\nAnswer: 21202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1032 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**3. Let u(y) = -96*y - 1396. What is the remainder when u(-15) is divided by s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -5 - -7)*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (-5 - 0 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 + -596 + 23 + -2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 2*d)*(2*d**3 + 0 + 0) - 158 - 99*d**4 + 96*d**4 + 99 + 12*d**4 + 10*d - 10*d.\nAnswer: 11*d**4 - 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwq when three letters picked without replacement from {w: 6, q: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*6*sqrt(170)*2)\/((-3*sqrt(80) - sqrt(80))\/sqrt(8) - 5*sqrt(10)*3).\nAnswer: -216*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/306)\/(36\/9072)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 428743, 857492, 1286245, 1715002?\n\"Answer: 2*k**2 + 428743*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-23786.\nAnswer: -47572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -13. Let r(j) = 5*j - 28. Let u be r(6). What are the prime factors of (p + 1)*(4 - u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let h = t - -1. Let r be 2\/(1*-2)*h. Solve r = 4*i - 0*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 47. Let w = 11 + m. Let j = w - -44.7. Put 0.2, -1, j, 4 in descending order.\nAnswer: 4, j, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/30 - g**4\/8 - g**3\/2 - 3*g**2. Calculate the least common multiple of y(-2) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 213. Let h = 49 + u. Sort 2\/23, -0.04, h.\nAnswer: -0.04, 2\/23, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3.49, 0.3 in ascending order.\nAnswer: 0, 0.3, 3.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k + 35 = 70*k + 5*j, -3*k = 5*j - 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2143.56 + 2144. What is the third smallest value in l, 0.4, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-50)*5)\/(52\/182 - 314\/1148).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f + 4*f**2 - 2 + 0*f**2 - 6*f**2. What is o(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 357 + -310. Are w and 47 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111111111111111101 (base 2) in base 5?\nAnswer: -1414420023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -55598, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*q**4 + 24*q**2 + 214 wrt q.\nAnswer: 56*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310\/434)\/(4\/14).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180371 is divided by 16394?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(-23) assuming w is positive.\nAnswer: w**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182864 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 722325980 - -1.335?\nAnswer: 722325981.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3585*i - 3615*i - 120 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*f**3 - 48 - 22*f**3 + 66*f**3 with respect to f.\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t - 83*t - 3*o - 21786 = 0, o = -3. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -182?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/30 + 3*p**2. Calculate b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and -1 + (-162)\/8 + (-20 - -19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75d9a85 - 3?\nAnswer: -75d9a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16568, 66249, 149050, 264971, 414012?\nAnswer: 596173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*y**5 + 2*y**2 - 23*y?\nAnswer: -16020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-880))\/(27\/(-45)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*y**5 - 5 - 20*y**4 - 988*y**3 + 485*y**3 + 503*y**3 + 25*y wrt y?\nAnswer: 480*y**3 - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -15*v + 36. Let c be -1 + v + 455 + -10. Suppose -3*k + k = 2*z - c, -4*k + 4*z + 872 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 18*w**2 + 354. Let j(m) = -205*m. Determine j(g(s)).\nAnswer: -3690*s**2 - 72570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2. Let g(h) be the third derivative of 0 - 1\/30*h**5 + 0*h**4 - 14*h**2 + 0*h**3 + 0*h. What is g(x(u))?\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8859, -9214, -9569?\nAnswer: -9924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 4. Suppose 5*t - j = -2*j + 11, 0 = 4*t - 2*j - 6. Let h be 2*(t\/(-2))\/(-6). What is the nearest to h in 0.1, w, 2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b*b**(-5)*(b**0\/b)**(1\/11) assuming b is positive.\nAnswer: b**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023.\nAnswer: 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/5 + 45016*x**4\/5 - 495016*x**3\/5 - 1755154*x**2\/5 - 1845191*x\/5 - 126014 = 0. What is x?\nAnswer: -1, 14, 45005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 17*u + 9. Let k be f(-16). Suppose -4*j - j = 2*a - k, -a = j - 5. Let l(r) = r**2 + 6*r - 6. Is l(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 - 1326*m - 12998. Calculate k(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 56 = -16*t. Let f be (2 + -2)\/(t\/(56\/(-16))). Factor f - 4\/9*o**3 + 4\/9*o**4 + 0*o + 0*o**2.\nAnswer: 4*o**3*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)*-1)\/(sqrt(33)\/(-3*sqrt(3))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 668.5 + -668.8. Which is smaller: a or -11\/84?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 11 - 5 = 0, -4*d - 19 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 69. Let z(u) = -2*u + 5*u - 2*u. What is z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90014167\/3 or -30004721?\nAnswer: -30004721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16023 and 9156?\nAnswer: 64092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 + 54*n**2\/7 - 873*n\/7 - 132.\nAnswer: 3*(n - 11)*(n + 1)*(n + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-26) - 2184\/1014)\/(-5). Suppose -4*p = 5*p + 72. What is the nearest to p in -0.1, 4, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-81))\/(-6*3\/54).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 818 + -392. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -1\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 1 = -8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2. Let z(i) be the first derivative of i**2 + 21*i + 2598. Give v(z(j)).\nAnswer: 16*j**2 + 336*j + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58.29? (a) -0.5 (b) -25 (c) -2\/7 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -429 - -1161. Suppose 2*i - 1792 = -2*a, -3*i + 3*a = -y - 1956. Calculate the remainder when i is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -83*q**2 + 727*q - 735. Let a(x) = 125*x**2 - 1078*x + 1104. Let u(f) = -5*a(f) - 8*r(f). Factor u(k).\nAnswer: 3*(k - 10)*(13*k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 3*k**2 + 2*k + 6. Let z be ((-2 - -1) + 2)*(19 + -23). What is m(z)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 707 - 714. Let h(v) = 30*v**3 - v**2. Let d be h(-1). Let c = n - d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300 (base 5) to base 9.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -567, -1281, -2281, -3567?\n\"Answer: -143*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11124*s - 3068*s - 7370*s as x*s + w and give x.\nAnswer: -21562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 1. Let r be v(4). Let t(h) = h**2 + 9 + r - 3*h + h - 19. Let z be t(4). Solve z*c - 2 = -22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -247 + -3c49?\nAnswer: -4193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1316 - 0.1316005812. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, 681, 3697, 9449, 18819, 32689?\nAnswer: 51941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-285))\/(2\/9*18\/60)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.79922nm to centimeters.\nAnswer: 0.000007379922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065601 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -y + 11, 3*h + 1 = 2*y - 11. Let q(c) = 6*c**3 - 6*c**2 + 2*c - 9. Is q(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352185 - 7*n - 6*n + 352183.\nAnswer: -13*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-45) + (-387410)\/(-342)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*g + 2*f, -2*f + 111 = 3*g + f. Let j be 123\/(-18) - (-1)\/(-6). Calculate the remainder when g is divided by (-7)\/j - 1*-11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -8*d + 7*d + 15, -3*b + 26 = 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/4 - 13*f**2\/2 + 9*f. Find the first derivative of l(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, z: 2, k: 1}. What is prob of picking 1 e, 1 d, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 59*n - 999. Let z be u(17). Let c(y) be the first derivative of 5*y**z - 1\/2*y**2 + 0*y + 0*y**3 - 7. Find the second derivative of c(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + 0 - (-1 + sqrt(76))))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 - -6)) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 36 = 3*k - k, 2*k + 3*f - 8 = 0. Suppose 0 = -l + 6*l - k. Suppose -17 - 19 = -l*w. 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: Simplify (d**(2\/9)*d**(-1\/4)*(d\/(d\/(d\/d**(1\/2)*d)))**(-37))\/((d*d**(2\/7))**44*(d\/((d*d*d**(2\/9)\/d)\/d))\/(d\/(d**(-2\/9)\/d))) assuming d is positive.\nAnswer: d**(-9295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 38*n - 42. Calculate the remainder when 1048 is divided by r(21).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-312)\/((-8)\/2). Let u be d\/10 + (-2)\/(-4). Factor -6*j**2 - 6*j**4 + 4*j**3 + 2*j**4 - u*j + 8 + 6*j**4.\nAnswer: 2*(j - 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaw when three letters picked without replacement from {a: 11, e: 5, u: 2, w: 1}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -5*s**4\/24 - 7*s**3\/6 - 64*s**2 + 7. Determine y(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)\/d**(-7))\/(d*d**(-3)*d)**18 assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5669 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/3, 0 in increasing order.\nAnswer: -3, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -538*l + 2698. What is p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 + 1166*y**2 + y + 136885 with respect to y.\nAnswer: 6*y**2 + 2332*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 - 47?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63368.26 weeks in hours?\nAnswer: 10645867.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y - 5 + 5*y**3 + 15*y + 2 - 6*y**3 + 4. Let l(m) = m**3 - m**2 - m - 2. Give -4*i(p) - 2*l(p).\nAnswer: 2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 622*i**2 - 12*i. Let j(y) = -161098*y**2 + 3110*y. Let m(x) = -6*j(x) - 1555*w(x). Let k(b) = -2*b**2. Give k(m(s)).\nAnswer: -773768*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*u + 735 - 13605, -5*u + r - 21444 = 0. Round u to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/3 - 16644200*q + 41554409046000.\nAnswer: 5*(q - 4993260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 18. Suppose h = -1 + 8. Let y be z(h). What is the third derivative of 16*f**5 + 3*f**2 - 5*f**2 - 7*f**y + 7*f**3 wrt f?\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-50)\/4) - 646\/(-85). Solve k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eueeuhenunngeenhe?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40427087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:15 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164, -327, -490, -653, -816, -979?\n\"Answer: -163*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3267*s**3 - 1628*s**3 - 1634*s**3 - 2*s + 2 + s**2. Calculate w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26883 - 0.03117. What is the biggest value in n, -2, -0.0021?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33635 + 7338 - 10004 = 627*q + 520*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/54 and -163\/300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17331, -32980, -48629, -64278?\n\"Answer: -15649*n - 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/357 or 105?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*k**4 + 187*k**4 + 731*k**2 - 291*k**4)*(-2*k + 5*k - k).\nAnswer: 4*k**5 + 1462*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k = -5. Let w be 4 + k - (-45398)\/211596. Let s = w - 2\/7557. Calculate the common denominator of s and -7\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170433 or 170437?\nAnswer: 170433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(72\/32)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -161 in descending order.\nAnswer: 7, -2, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swrkrk. What is prob of picking 2 k and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925072 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 123 = -i, 3*i - 82 - 29 = -5*g. Calculate the greatest common divisor of g and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33208626 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-2)\/(-2) + -1. Find the common denominator of q - -2 - (-145)\/20 and -115\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*h = -23, 2*z - 88*h + 87*h = 3. Let k = -1 - -2. Let l = k + -4. Sort l, 0, z in ascending order.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-11)\/v)*v*v**(2\/3))**8*((v**(-2)*v)**(-41))**31 assuming v is positive.\nAnswer: v**(4165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6224, -6598, -7220, -8090, -9208, -10574?\nAnswer: -12188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 264.89. Let g = -1.09 - -1.2. Let v = g - z. What is the closest to v in 0, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c + 71. Let o(q) = -q**2 + 5. Determine b(o(g)).\nAnswer: 8*g**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + 1240121031?\nAnswer: 1240120553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 + 9. Let d = 5 - y. Let q = -2.1 - d. What is q rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-13) - (-40)\/(-260).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6560467658 - -650\nAnswer: -6560467008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.455 + 0.505. Let g = o - 9. Let l = 4.04 + g. Which is the third biggest value? (a) 0.1 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19647 = -1227*g - 214*g - 9173 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1338 + -946. Find the second derivative of -3*p**4 + 392 - f + 11*p wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-12)\/15)*(276\/12)\/(-46)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -13*k**6\/30 - 2*k**4\/3 - 3*k. Find the third derivative of s(i) wrt i.\nAnswer: -312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12000313 from -85679704.\nAnswer: -73679391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -70, -86, -118, -172, -254, -370, -526?\n\"Answer: -q**3 + q**2 - 2*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1237 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 22) + -8 - -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 + 82*r**2 + 854*r + 2646 = 0 for r.\nAnswer: -27, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1248 divide 562253952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111839, 111834, 111825, 111812, 111795, 111774?\n\"Answer: -2*a**2 + a + 111840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u**3 - 4*u**2 - 5*u - 2. Let v be c(4). Find the common denominator of 91\/12 and (v\/1184)\/(2\/((-48)\/58)).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**2 + 9*h + 2. Let k(x) = -x**2 + 2*x + 1. Let f(o) = 4*k(o) - q(o). What are the prime factors of f(4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30238679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 396916 <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10737?\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 76 = -3*n. What is the highest common factor of 48 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-10940)\/1360)\/((-3)\/(-4) - 1).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -191. Let m = -722\/5 + z. Factor 0 + 3\/5*q**3 + 1\/5*q**5 + 0*q - m*q**4 - 1\/5*q**2.\nAnswer: q**2*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let g(j) = 6*j. Let f = -19 - -18. Calculate f*g(z) - 2*x(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Let g(z) = -6 - f - z**2 - 16*z - 5. Is 6 a factor of g(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t = 189 - 4812. Suppose -l - 3*v + 82 = 0, 0 = -3*v + 1 + 14. Is t greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(256) + sqrt(4) + sqrt(4) - sqrt(4)) + 1*2*sqrt(13) + -3 - ((3*-4*sqrt(91))\/(4*-2*sqrt(7)))**2.\nAnswer: -129\/4 + 19*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826593.5ml to litres.\nAnswer: 826.5935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 3. Suppose 5*x = -2*d + 54, -2*x + 10*d = 5*d - 10. Suppose -5*r + 31 = -14*b + x*b, 8 = -5*b - 4*r. Give a(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 173 and -0.0243188?\nAnswer: -4.2071524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4c67 (base 13) to base 8\nAnswer: -25225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(5\/12)\/k))\/(k**(3\/23)*k))\/(k\/(k**(-22)*k))**(26\/7) assuming k is positive.\nAnswer: k**(-155065\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x + p + 3*p, 0 = 5*x - 4*p + 45. Let w be (x\/(-15))\/(2\/(-18)). Let j(l) = -l**2 - 3*l + 1. Determine j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 2*z**2 - z**2 + (0 - 3 + 1)*(2*z**2 - 5*z**2 + 2*z**2) - 4*z**2 + 3*z**2 + 3*z**2 + 12 + 0 + z**2 + 1.\nAnswer: 6*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -681 + 0?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.60456 rounded to the nearest integer?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/77 - 229\/154. Let o be (-3)\/(-2)*(-1 - 1). What is the closest to d in -0.4, o, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/17? (a) 0.3 (b) 4 (c) -342\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90550?\nAnswer: 2, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*i + 8448, 0 = -33*c + 35*c + i - 3372. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 4}. Give prob of sequence bdbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*k + 84 = 0, -3*v - 10 = 5*k + 13. Let u = 21 + v. What is the third derivative of 0*t**2 + u*t**2 - 3*t**4 - 11*t**2 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/684138 and -149\/1074?\nAnswer: 684138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40311211373.47 + -0.3?\nAnswer: 40311211373.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-13\/2)\/(f**(1\/6)*f)**(-11\/4) assuming f is positive.\nAnswer: f**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -492903.31+-0.4\nAnswer: -492903.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -6)*(215\/(-20) - 6)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0.01, -0.31?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 65*a - 2. Let n be f(3). Suppose 0 = -4*x + 87 + n. Let z = 103 - x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = -19*w - 3*t + 57, 2*t - t = 14*w - 206 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143920 is divided by 1332.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (249\/12 + -21)*((-6)\/(-8))\/(144\/(-384)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 7 - 12. Let k(a) = 24*a**2 - 2*a - 1. Let v be k(g). Factor 52*f - v*f**4 - 114*f**2 + 95*f**3 - 17 - 1 + 10.\nAnswer: -(f - 2)*(f - 1)*(5*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -57?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 20, -3*r + n - 11 = 0. Let x be (3\/(-6) - r)*4. Suppose x*j - 4 = 5*j. Solve 3*b = -3, j*p + 3*b - 3 - 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 0.07606\nAnswer: 0.0045636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -207*b**3 + 5*b**2 - 37*b - 8. Let u(a) = -310*a**3 + 7*a**2 - 56*a - 11. Let m(y) = 5*u(y) - 7*v(y). Find the second derivative of m(x) wrt x.\nAnswer: -606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/9, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135.06 - 134. Let k = 1.12 - x. Let t = 56 - 172\/3. What is the nearest to 1 in k, t, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u + u)*(-20*u + 11*u + 11*u) - 4*u + 4*u + 2*u**2 + (-1 - 4 + 3)*(-u - u**2 + u) - u**2 - 2 + 2 to r*u**2 + d*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/11)\/(q\/(((q**(-1\/27)\/q*q)\/q)\/q))*(q**(10\/7)\/q)**(1\/23) assuming q is positive.\nAnswer: q**(-126943\/47817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2820.7 times 39\nAnswer: -110007.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2 + 165*v - 225. Let z be r(25). What is the highest common divisor of z and 3525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -23846.\nAnswer: -23846.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -23. Solve 0 = h*c - 3 - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 44. Let z be k(5). Calculate the common denominator of -25\/33 and (-233)\/z + (-15)\/(-40).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18 - 11 = 5*o, g - 2*o = 11. Let y(k) = 5*k + 4. Let f(t) = 2*t + 2. What is g*y(s) - 5*f(s)?\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 8)*(2*k - 2*k + k**2) to a*k**2 + b + n*k and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137485032, 274970063, 412455094?\n\"Answer: 137485031*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 17 = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z + 5*z)*(-14 + 28 + 12).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 178537821 to the power of 1\/2, to the nearest integer?\nAnswer: 13362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = h - 1441 - 2163, -4*t + 4*h = -3604. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a. Suppose -20 = -5*v - 5. Let z = v + a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -113.41. Let y = d - -0.663. Let o = y + -0.0729865. Round o to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 616788.21 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-630)\/240 + (-6)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1147832352 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 23. Let w(f) = 2*f + 2. Determine -5*w(z) + x(z).\nAnswer: -7*z - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 22 = 4. Let j(n) = -3*n + 2. Calculate j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*t + 218 - 58 = 0, 133 = 5*k + 4*t. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a factor of 233427445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(1*sqrt(7)) - sqrt(11) - (sqrt(11) + -3 + (sqrt(33)\/sqrt(3))**2).\nAnswer: -8 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -15 + 6 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 - 209. Sort l, -60, 5 in descending order.\nAnswer: 5, l, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16385 by 24.\nAnswer: -16385\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a - 2. Suppose -2*x - 14 + 18 = 0. Let z be d(x). Differentiate 15 - 3*w**2 - 12 - 2*w**z wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 65. Suppose n*i - 14*i = 12. What is the greatest common factor of 14 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -29. Suppose 3*n = p - 1228, -m*p + p = n - 1208. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 42\/5, -5 in increasing order.\nAnswer: -29, -5, -3, 42\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.25. Let w = 1.4 + -1.3. Which is the closest to 1? (a) -5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -9*v + 2*v. Let f be (-2)\/(-5) - v*(-7)\/420. Solve 0*c**2 + 0 + f*c**4 + 1\/4*c**3 + 0*c = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*j - 161, 5*j + 16 + 189 = 5*d. Suppose 3*a - 4*y - 172 = 809, 0 = 4*y - 12. Let x = 2327\/7 - a. What is the common denominator of d and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((((sqrt(84) - sqrt(84)*2*6 - sqrt(84)) + sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(6))\/(sqrt(4)\/sqrt(32) - (-1*sqrt(32) - sqrt(2))) + -5).\nAnswer: -88*sqrt(7)\/7 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/6 - (44\/5)\/(4015\/3650)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/6 + 3*d**2\/2 + 2*d. Let j be n(0). Suppose j*c - 271 = -k, -9 = 5*k + 1. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 51436544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y - 1. Let c(a) = -7*a**2 - 7*a + 7. Let x(n) = -c(n) - 6*z(n). Suppose -5*p + 24 = 9, -4*h + 16 = 4*p. What is the units digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*y + 405469 + 1613339. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 1\/3, -37?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33048 divided by 918.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 111*f - 224. Is 3 a factor of z(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*n = -6*n + 6543740. What is n rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - 0.14. Sort -5, 0.2, t, 1 in increasing order.\nAnswer: -5, t, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233267217 to the power of 1\/3, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1534 and 1888.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -22158.\nAnswer: 88632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*k + 605*k - 15 = -3*v, 3*v - 15 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -658 and 1124.1845.\nAnswer: 466.1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 282595297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02399924 - 0.024. Round m to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -916*l**3 - 2065*l - 3.\nAnswer: -5496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (455\/13 - 74) + 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*s - 92*s - 171036 = 2*c, 3*s + 2*c = 256529. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301303 (base 5) to base 10\nAnswer: 9578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f = 32*f - 32, -5*a + 3*f = -664. Solve -11*n - a = -117 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304\/22 + ((-285)\/(-55) - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768197713 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 + 356*h**3 - 22746*h**2 + 606680*h - 5496776 = 0 for h.\nAnswer: 19, 43, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n + 5*n**2 + 10*n**2 - 13*n**2 to the form s*n + y*n**2 + f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbkkkbhkkbkbb. Give prob of sequence kbh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 259010 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51050.2075 rounded to the nearest 100?\nAnswer: 51100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4443.79 - 4395. Round x to 0 dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -34. Let y be k\/14 + (-4)\/14. Solve y*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269057308.\nAnswer: 2, 13, 31, 166909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -566a + 1a8?\nAnswer: -54a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.2 (b) 2\/5 (c) -4 (d) -1.6 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**4\/24 + 369*y**2. Let x(i) = -5*i - 6. Let n(c) = 6*c + 4. Let g(d) = -4*n(d) - 3*x(d). What is -g(l) - 5*m(l)?\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 8*b - 8. Let w be v(-6). Suppose 2*m = -m. Solve 5*y = 5*f - m*y + 10, 2*f = -y - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6))**(-23) assuming z is positive.\nAnswer: z**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let z(l) = -l**2 - 16*l - 48. Let f be z(-5). Find the second derivative of -5*b - 6 - 1 + f + 3*b**t wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -134. Solve -2*n = -2*v + 12, -3*n - p = 2*n - 4*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 426*v - 31492. What is q(64)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2232019, 4464040, 6696061, 8928082, 11160103?\nAnswer: 13392124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2091, 2095, 2099, 2103, 2107?\nAnswer: 2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.9939 - -13.993872. Let k = -0.05 + 5.05. Let m = k + q. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108901875*d**5 - 1292687850*d**4 + 2988997218*d**3 - 1555832616*d**2 - 241123053*d - 8255574 = 0. Calculate d.\nAnswer: -391\/6025, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (17 - 6) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 - 9)*(-6)\/(-20). Put -1, 0, -3, j in ascending order.\nAnswer: -3, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 10 - 28. Calculate the common denominator of -83\/22 and (361\/342)\/(32\/l).\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 18*i = -13*i + 4, -2*n = 2*i + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 16 (b) 0.5 (c) 175 (d) 0.02 (e) -1 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/4, -218, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 - 4. Suppose -3*n = 22 - 34. Give b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42\/5 (b) -372 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-1)\/(-10))\/((-9)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28736, -28721, -28694, -28649, -28580, -28481, -28346, -28169?\nAnswer: -27944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14792 = -k, -p + 28*k + 3680 = 26*k. What is the lowest common multiple of 20 and p?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7484 - 4?\nAnswer: -7488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1000110010010011 (base 2) to base 14\nAnswer: d187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -242580 divided by -4043\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose 0*d - d + 5 = t. Find the third derivative of 14 - s**d - 14 - s**2 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250691272 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201928 is divided by 5439?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11 - 2 = 0. Let x(h) = 2*h**2 - 2*h + 3. What is the remainder when 27 is divided by x(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibvbbbbbbi. What is prob of sequence vi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.1927 to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302277 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + (-3 - -6) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -30\/1549, -2\/191, 14 in ascending order.\nAnswer: -30\/1549, -2\/191, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 - 2*d - 45*d**2 + 46*d**3 + 32*d**2.\nAnswer: 46*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1640288 = l + 3*p - 1640280, 36 = -2*l + 4*p for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -2512, -5609, -9908, -15391, -22040?\nAnswer: -29837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21055971164.15 - 1?\nAnswer: -21055971165.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28140\/21*(-4)\/(-20). Solve 21*l - b = 88*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39125\/(-20345) + (8\/6)\/((-2)\/(-3))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3246\/26 + 3*-1. Let h be -6 - ((20 - -94) + (0 - -2)). Let o = h + i. Which is the nearest to o? (a) -2 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g. Let y(q) = -55*q. Let b(n) = 40*r(n) - 3*y(n). Let t(v) = -14*v**2 + 8. Let u(c) = 9*c**2 - 5. Let h(x) = -5*t(x) - 8*u(x). Determine h(b(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flmrfffmrrlgflrr. What is prob of picking 2 r and 2 m?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46563 - -82814. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w - 19. Let j be y(-2). Let z be (-78)\/(-18) + 1\/(-3). Suppose 2*a + q = -0*q + 10, -2*a + 2*q = -z. Sort j, a, 3 in ascending order.\nAnswer: j, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*p**2*w + p**2 - 932*p*w - 67*p + 61 wrt w?\nAnswer: 31*p**2 - 932*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*d + 30, 36 = 3*d - 0*d - o. Solve f + f = 3*y - 23, -f - 3*y + d = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(11\/((-132)\/(-9)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s - 160 + 2644. Suppose 3 = -b, -3*b - 29 = 4*q + s. Put 1, -1, 2, q in increasing order.\nAnswer: q, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 1501 = 8*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 9*i + 7 - 11 = 5*i - 4*s, 12*s - 6 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - b + 3*b + (-3 + 1 - 5)*(b + 2*b - 4*b))*(5156 - 5156 - 136*b**2) to the form d*b**2 + n + l*b + c*b**3 and give c.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -6683257?\nAnswer: -534660.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3934, -20, 1 in ascending order.\nAnswer: -3934, -20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 8*k - 18. Calculate s(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.04899g in tonnes?\nAnswer: 0.00005704899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023038 is divided by 616.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) + 481\/(-78). Let d(u) = 1 + 3*u + u**2 + 6 + 3*u. What is the units digit of d(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from {n: 5, y: 3, o: 5, c: 1, r: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2. Suppose 0 = s + 4*n - 1145 - 23, 0 = -s - 3*n + 1170. Let u(i) = 1176 - 103*i**2 - s. Determine u(l(p)).\nAnswer: -412*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3*l**3 + 18461 - 18461.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1674 and 1116.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(288)*5).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4530 and 5580?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, a: 3, j: 4, q: 1, d: 3, t: 1}. Give prob of sequence pjqt.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013486304 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 606.02278 + -606. What is m rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**3 + 2145*p**2 + 10*p - 5. Let n(b) = 14*b**3 + 2145*b**2 + 8*b - 4. What is 5*n(m) - 4*w(m)?\nAnswer: 2*m**3 + 2145*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*f**3 + 3*f + 650 wrt f.\nAnswer: 129*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 59 + 31 + -40.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**16))**11*z**(1\/3)*z**(-2\/73) assuming z is positive.\nAnswer: z**(-36068\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*c = -2*c + 8, -5*v + 5*c = 20. Let h be v\/(((-42)\/35)\/((-4)\/10)). Sort 2, h, 7 in ascending order.\nAnswer: h, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408298102184 - 0.1?\nAnswer: 6408298102183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4051 + -5?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -38, -67, -100, -137, -178?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d4 - -28a?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49366*r**4 + 32*r**3 + 28173396?\nAnswer: 197464*r**3 + 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39940 - 39894. Suppose 0*t + 4*t - 5*w - 174 = 0, -5*w = -3*t + 133. Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/170 and 35\/2176.\nAnswer: 10880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:44 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d + 121. Suppose 1 = -y - u + 5, 12 = y + 3*u. Let a be j(y). Suppose -a*p = -123*p + 34. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s - s)*(-s - 3*s + 6*s) - 46*s**4 + 79*s**4 + 1144*s**4 + 4142*s**4.\nAnswer: 5323*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4912.538 rounded to the nearest integer?\nAnswer: -4913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Suppose -13 + 2 = -n. Let c = -7 + n. Calculate the smallest common multiple of q and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124187*n**2 - 77348 with respect to n.\nAnswer: 248374*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(2\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/420 + g**4\/84 + 3*g**2\/2 - 2*g. Let h(b) be the first derivative of z(b). Factor h(u).\nAnswer: -2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29792 = 1070*v - 286*v for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 3. Let v = 1 - 3. Let q be j(v). Let g(z) = -2*z + 3. Let x(f) = -f + 1. Let a(u) = q*g(u) - 3*x(u). Let k(m) = 4*m**2. Calculate k(a(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -213774 divided by 1738?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1701670*b*y - 2*b + 41682491*y wrt b?\nAnswer: -1701670*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 0.02, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2794 by -4.\nAnswer: 1397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h - 2 - 9*h**2 - 6 + 3. Let d be 132\/30 - (-2 + 24\/10). Let o(j) = 0 + 0*j - 3*j + d*j**2 + 2 + 5*j. What is -2*b(y) - 5*o(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 11, 36, -1 in increasing order.\nAnswer: -25, -1, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9878631.\nAnswer: 3, 7, 470411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -7*j**8\/24 - 22*j**7\/15 - 37*j**6\/60 + 22*j**5\/5 - 3*j**4 + 17*j**2. Let g(b) = 0. Calculate b.\nAnswer: -2, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 5*a + 70 = 0. Let j = 77 - a. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -121 and 293.48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9783071789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m - m**2)*(-1711 - 126 - 1384 - 552 + 575) as p*m**2 + i*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.039636 and 131135049?\nAnswer: 131135049.039636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:38 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l + 58. Is 26 a factor of c(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 6 = 12. Let a(c) = 9*c**3 + 4*c**2 - 3*c - 2. Let g be a(z). Suppose -4*y = 2*n - 3506, g - 1122 = -y - 5*n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1871*u + 1381*u - 2662*u)*(-3*u**2 - 10*u + 10*u).\nAnswer: 9456*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2138*j + 70557. What is i(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g - 4. Let w(j) = -j**2 + 3. Let o(q) = 3*q**2 - 8. Let v(z) = 3*o(z) + 8*w(z). Give v(f(a)).\nAnswer: 64*a**2 + 64*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2273039*z**4 - 81521332*z**2.\nAnswer: -54552936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j - 1 - 3*j + j. Let m be u(-5). Let s be 3\/m + 8\/3. Solve 0 = 5*w - s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/42453 and 169\/4770?\nAnswer: 424530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -455 + 476 + 79 + -3 + (-4 - -7).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -176, -8 in descending order.\nAnswer: -2, -5, -8, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 2. Let p(u) = u**2 + 7*u + 6. Let v(a) = -a**2 - 7*a - 5. Let i(h) = -7*p(h) - 6*v(h). Let w be i(-4). Solve 10 = -w*k - d*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40146 - 3*u + u - 28046 - 12100.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:42 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 + 121*s**2 + 257*s + 52. What is z(-22)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.07, -1, -5.\nAnswer: -5, -3, -1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -13. Let x(k) = 216 - 216 - 625000*k**o. Let i be x(-2). Round i to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5914*n**2 + 4663*n?\nAnswer: 11828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(3\/2))**(-20\/9) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-5)\/((-45)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 106*p**2 + 311*p - 4. Let g be j(3). Sort -1, 45, g, 4 in increasing order.\nAnswer: -1, g, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/1*(-26)\/91.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458, 3624, 12216, 28946, 56526?\nAnswer: 97668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 9477\/98?\nAnswer: 9477\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40756 + 40760. Calculate the lowest common multiple of f and 334.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1110 - -1113. Solve 17 = v*q - 6*q + 2*f, 1 = q + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7 = 21*p - 20*p, 5*p = 4*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9036 divided by -5.\nAnswer: 9036\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 558 = -70*v. Let w = 4 + -1. Let o = w - 2. What is the greatest common divisor of o and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h**2 + 2*h + 15*h**2 - 3 + 3 - 22*h**2 to the form g*h**2 + m + a*h and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 36.4. Let r be 15\/(-12) - (-1 - 0). Let l = 66 - 196\/3. Which is the nearest to r? (a) q (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Suppose 3*g + n + k*n = 19, 4 = n. Suppose g*t - 14 - 31 = 0. Solve t + 6 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 6. Suppose -2*j + 4 = -5*q, j - v = 2*q - 3*q. Suppose 5*c = -3*k + k + 2195, 0 = -3*c - j*k + 1321. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/142220 and 1\/383994.\nAnswer: 3839940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 6588.\nAnswer: 5\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -2, 5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6385\/2 + -3313. Let g = p + 3137\/26. Let i(k) = -k - 1. Let t be i(-1). Which is the third smallest value? (a) g (b) -7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((-11)\/30)*(-1)\/2. Let u be 4 - (1 - q\/(-6)). Which is the nearest to -5? (a) -5 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94949268383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c + 2. Let u(o) = -7*o**3 - 19*o + 15. Give -6*l(j) + u(j).\nAnswer: -j**3 - 13*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-14) + 1 + 0. Let a be (2\/(-24))\/(8\/112). Let d = 1\/2 + a. What is the closest to -2\/5 in 5, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82085 is divided by 20516?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*n - 5*n**2 - 25*n + n**3 + 4*n**3 + (-4*n - 3*n**2 + 4*n)*(14*n + 74 - 74).\nAnswer: -37*n**3 - 5*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 14. Suppose -2*x + 34 = -28. Let o = x + -17. Calculate the remainder when l(-8) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.87904 kilograms to nanograms.\nAnswer: 83879040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -120, -355, -680, -1077?\n\"Answer: 3*z**3 - 72*z**2 + 68*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57585675 and 43925?\nAnswer: 57585675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22937\/2 + -11465. Let r(p) be the first derivative of -z*p**2 - 5*p - 25 - 1\/3*p**3. Give r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/5, -16\/245, -1\/6.\nAnswer: -37\/5, -1\/6, -16\/245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230056 and 165208?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(2 - 7 - 1)*(3562*f - 3282 + 3282 + (2*f - f - 2*f)*(-1 - 1 + 4)) to the form u + y*f and give y.\nAnswer: -21360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101011110001 (base 2) to base 15\nAnswer: c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/9 - 946*x**4\/9 - 3680*x**3\/3 + 11960*x**2\/9 + 414592*x\/9 + 236032\/3 = 0. Calculate x.\nAnswer: -461, -8, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*1*-4 - (4*2*sqrt(220) - sqrt(220)))\/((sqrt(110)*2*3)\/(sqrt(10) + sqrt(90)\/(-2*sqrt(9)))).\nAnswer: -11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*x**5 + 429*x**4 + 504*x**3 + 196*x**2.\nAnswer: x**2*(x + 1)*(11*x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 11*g = -119. Let p(s) = -s**3 + s**2 + s. Let b be p(0). Suppose g*h - 503 - 176 = b. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 + 6*k + 12. Let x be a(-4). Suppose -2*c - 988 = -5*c - 4*l, -4*l = -x. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.19317336 to 2 dps.\nAnswer: -9.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2878, -3533, -1954, 1865, 7930, 16247, 26822?\n\"Answer: n**3 + 1111*n**2 - 3995*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c**3 - 10*c**2 - 4*c - 194. Let r(q) = 9*q**3 + 8*q**2 + 3*q + 196. What is 4*f(p) + 5*r(p)?\nAnswer: -3*p**3 - p + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {x: 1, d: 6, s: 2, o: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2 - 9\/(-6)). Suppose j = -k*j + 31. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 20*o - 9. Let x(t) = t**2 + 13*t - 6. Let k(i) = -5*b(i) + 8*x(i). Let n(w) = 4*w**2 - 7*w + 5. Give -7*k(f) - 4*n(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325405013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2\/2 + 5*v + 2. Let d be n(-6). What is the highest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.87 - -2.37. Let r = -0.1 - 0.4. What is the nearest to 0.1 in 3, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (18 - -1)) + 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7*350\/105)\/(146\/(-4088)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (1 - (11 + -4)) + 24 - (12 + -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 25. Let i be q(-11). What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/20 + w**4\/12 + w**3\/6 + 17*w**2. Let b(u) = 10*u**2 + 6*u + 3. Let n(c) = 2*b(c) - 7*x(c). Factor n(i).\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5310 + 5474. What is the remainder when 982 is divided by q?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-4\/3))\/b)\/(b**(2\/45)\/b) assuming b is positive.\nAnswer: b**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 1, 16, 0, -4\/7 in decreasing order.\nAnswer: 16, 1, 0.14, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 900 = -8*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -10.4. Let o = q - 0.60000064. Round o to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:33 AM?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (843\/2)\/((-14)\/(-4) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 4064, 13792, 32752, 64022?\nAnswer: 110680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*q - 2*b, 11*q = 7*q - b + 122. Solve 9*h = -q - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -0.02 in increasing order.\nAnswer: -0.1, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - 10*x + 5. Let p(y) = -14*y**2 - 21*y + 7. Give -5*g(v) + 2*p(v).\nAnswer: 2*v**2 + 8*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -2\/7 (c) 1\/3 (d) 0.12 (e) 0.039\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:19 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1188, 0, -9.\nAnswer: -1188, -9, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 74254282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 735059.1 tonnes?\nAnswer: 735059100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 9*p - 14. What is s(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -572, -509, -346, -35, 472, 1223, 2266, 3649?\n\"Answer: 8*y**3 + 2*y**2 + y - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243452480 divided by -15215780.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 34476.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w - 14. Let i(d) = -21*d + 42. Let q(k) = 5*i(k) + 14*y(k). Let j(s) = -s**3 - 7*s**2 - 10*s - 10. Let m be j(-4). List the prime factors of q(m).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(84) + sqrt(84)*3 + sqrt(84) + sqrt(84))\/sqrt(12))**2.\nAnswer: -72*sqrt(7) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**2 + 5*f + 268. What is g(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162 + 266. Suppose y - 10 = 2*v. Suppose 5*a - 116 = 3*p, -2*a - p + 6 = -v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/21 and 11\/8541.\nAnswer: 59787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let m(j) = 5*j**2 - 8. What is t(m(l))?\nAnswer: -10*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**3 + 797*y**2 + 2031*y - 585. Determine n(-97).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 3\/10*k**5 + 1\/6*k**4 + k + 0 - 1\/3*k**3 + 13*k**2. List the prime factors of y(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153541 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 5*p - 7*p - p**3 - 1. Let x(h) = 5*h**4 + 5*h**3 + 5*h + 4. Let m(d) = 5*j(d) + x(d). Find the first derivative of m(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 - 27182*a**3 - 123152580*a**2 - 186042479400*a - 185919354000 = 0. Calculate a.\nAnswer: -4530, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -6 (c) -4 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*q + 104 = 0, 4 = b - q - 18. Suppose -4*a + 2*k - 62 = -148, -a + 3*k + 9 = 0. Let n = 67\/3 - a. What is the second smallest value in -2, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 3*w - w + w - 3*w - w + 3*w - 3*w + w + (-4*w + 2*w + 0*w)*(0 + 1 + 1) + (2 - 10 - 2)*(-2*w + w + 2*w).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-4) + 2*-4 - -6. Suppose 11*t - 190 + 58 = p. Are t and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -43. Let p be ((-1992)\/g)\/((-2)\/9). Suppose 0 = -3*v + 3*b + 249, 2*b + 0*b + p = 3*v. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 2890 + 2188 = 0 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*i - 6 = -d, 2*d = 5*i - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ninn when four letters picked without replacement from {i: 1, n: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841144 minus 0.0826?\nAnswer: 1841143.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -893, -3594, -8085, -14360, -22413?\n\"Answer: v**3 - 901*v**2 - 5*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 4*h, 0 = -4*h - 58*d + 57*d + 3. What is the second derivative of -i**2 - 69*i + 2 + h*i**2 + 78*i - i**3 + 78*i + 5*i**3 wrt i?\nAnswer: 24*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 16 = 2*l, -3*k + 42 = -3*l. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujvubuvbujuuujjv. What is prob of picking 1 j and 2 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 - 5*v**2\/2 + 9. Let c(x) = -x**3 + 6*x. Determine 5*c(s) + 6*d(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -148, -300.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2. Let p(s) = -17*s - 4. What is v(p(b))?\nAnswer: 578*b**2 + 272*b + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 5*k**2 - 16*k - 11. Let j be f(-5). Let a = j - 86. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109663 divided by 53?\nAnswer: 109663\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 29. Let u be a(17). Let m = u - 135. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l**2 + 3*l + 2. Let h be z(-2). Suppose 5*q = 2*q + 2*o - 6, -4*o = -h. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 = -9. Suppose 4*s + 2 = v*y + 3, -4*y - 4 = -4*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 291674916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s**(2\/11) assuming s is positive.\nAnswer: s**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238669, 238641, 238613?\nAnswer: 238585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 4*h**3 + 5*h - 28*h**3 + 16*h**3 - 20*h**3 + (3*h**2 + 2*h - 2*h)*(-2*h + 0 + 0).\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33052 is divided by 8167?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.2 bigger than 914.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**7\/10080 - d**6\/480 - d**5\/96 - 17*d**4\/12 - 6*d. Let t(y) be the third derivative of u(y). Factor t(h).\nAnswer: -(h + 1)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(56)\/sqrt(2))\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9576 and 12409110?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -4*x**3\/3 + 13*x**2\/2 - 13*x + 2. Let f(k) = -k**2 + 3*k - 3. Let y(o) = -5*o - 4. Let u be y(-2). What is u*r(j) - 26*f(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 1351717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*j - 90*j = -3*a + 19, -3*a = -3*j - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert de5 (base 15) to base 7.\nAnswer: 12104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 6 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 8*q + 12. Let o be k(9). Suppose -b + v + 4 - 3 = 0, o*b + 3*v - 15 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let y(s) = -4*s. Let d(v) = 29*v - 5. Let m(w) = -14*w + 3. Let b(r) = 3*d(r) + 5*m(r). Let i(u) = 6*b(u) + 26*y(u). Determine i(o(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/8 + 10530\/(-60). Is r at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**3 + 3*l**2 + 5*l. Let n be p(-1). Sort -5, -4, n, 4, -3 in descending order.\nAnswer: 4, -3, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 16.5. Which is the nearest to y? (a) 0.4 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*p**2 - 314*p**2 - p + 3*p + 5*p**3 to k + x*p**3 + q*p**2 + s*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 - 2*o**4 + o**3)*(1 + 2 - 1) - 2*o + o**4 + 2*o + 129769*o - 129769*o - 388 + o**4 to u + l*o**3 + w*o + v*o**4 + x*o**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhxhhxhxhhh. What is prob of sequence xx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + 14 - 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23215 - 0.1.\nAnswer: -23215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5995, -23826, -53499, -95014?\nAnswer: -148371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001264132 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4905745 divided by 75473\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from luxqqalxaaxlax?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 9*w - 5*w - 8*w - 3*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u - 2 = 4*l + 36*u, 5*l = -2*u - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -74*r. Let f(b) = 0*b + 3*b + b - b. Determine n(f(d)).\nAnswer: -222*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 944 and 7863.\nAnswer: 7422672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1101011?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 121.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(7849 + 246*n - 7849)*(-14 + 5 + 4) as k + z*n and give z.\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-1 + 1 + (sqrt(700) + -2)**2).\nAnswer: -160*sqrt(7) + 2819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64346 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let l = 4965 - 4963. Let q be (-128)\/(-7) + 2\/(-7). Let j(u) = q*u**2 - 99*u**l - 49*u**2. Calculate v(j(b)).\nAnswer: 16900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*l = 6 - 3, i - 2*l - 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 + (-39)\/3)*((-1368)\/90 + 16).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(-3\/10))\/d))\/(d**0*d))\/((d\/d**(1\/7))\/(d**(-3)*d*d)) assuming d is positive.\nAnswer: d**(-151\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfgqqggfgffssggfg. What is prob of sequence gqss?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6566 <= -6565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:22 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364 - 364 - s - 12*s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:53 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132, -130, -128, -126, -124?\n\"Answer: 2*x - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 69.3. What is the closest to 1 in 5, 8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 11. Let a(i) = -i. Let c(y) = 2*a(y) + q(y). Let b be c(4). Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2516 = 3.745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 13}. What is prob of picking 3 z?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 29*v - 18. Let p be w(-23). What is the highest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 46670943 = 2*b + 5670939, 20499998 = b + y. What is b rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -4\/7, -0.3, 52, 11, 1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from titattaaittt. What is prob of sequence ata?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*g + 310*g = -318 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 335 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -5*i**5\/2 - 5*i**4 + 117*i**3 + 676*i**2 + 12*i + 32. Solve q(p) = 0.\nAnswer: -13\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21249997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*z + 0*z - 8*z - z**2 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 1. Let l(w) = -2*w**2 - 2*w - 2. Let f(b) = 6*i(b) - 3*l(b). Let n(r) = r**2. Give f(n(d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78318.84 millilitres to litres.\nAnswer: 78.31884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j + 26*j - 1350 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5458218*x**2 + 3*x. Let b be a(-2). Let c = 34319275 - b. Let r = -7486409 + c. Round r to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = 0, 3*b = y + 5 + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, 3, 5 in ascending order.\nAnswer: 0, 3, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/((-1270)\/381)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2241*z + 2113. Calculate y(-2).\nAnswer: -2369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 16. Let v = a + -3. Suppose -r = -5*c + 29, 2*c + 3*r + 0 = -2. Solve -2*o + 5 + v = -4*l, -4 = c*o + 2*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 3*u. Let v(j) = -5*j**2 - 16*j + 1. Let g be -16*244\/20*(-25)\/(-5). Let a = -974 - g. What is a*v(p) - 11*t(p)?\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 7*i**2 + 25*i\/3 - 175.\nAnswer: -(i - 21)*(i - 5)*(i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 67, -3, -20, -36, 0 in descending order.\nAnswer: 67, 2, 1, 0, -3, -20, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 1, m: 4}. What is prob of sequence tvmm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -1\/3*m**4 + 3\/40*m**5 - 1\/2*m**2 + 7\/12*m**3 + 2*m - 2. Let o(k) be the first derivative of f(k). Find p such that o(p) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001619420212 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**3 - 4*k**2 + 0*k**3)*(-9 + 117*k + 1 - 67*k).\nAnswer: -100*k**4 - 184*k**3 + 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/28)\/((-3)\/(-288309))?\nAnswer: 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t + 2*n + 110, 0 = -n - 2. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19586 + -411394\/21. Calculate the common denominator of (-52)\/(-132) - -3 - 2 and o.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533423, -1066851, -1600279?\nAnswer: -2133707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 11*q**6\/6 - 3*q**2 + 9. What is the second derivative of f(k) wrt k?\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -6)\/(2\/(-2)). Solve -z + i + 1 - 2 = g, -4*z = i + 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/19)\/d))\/d)\/(d\/(d*d*d**(-3\/8)\/d)) assuming d is positive.\nAnswer: d**(79\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 3*r, 0 = 3*k - 5*r + 7 - 37. Let h be 10\/4*(-3 + (-19)\/(-5)). What is the greatest common divisor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2*(-10)\/(70\/21) and 4894?\nAnswer: 14682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1967 and 154831?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j = 2896, 0 = -3*k - 53*j + 51*j + 4360. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -115. Let i = -11.6 - l. Which is the nearest to 0.1? (a) i (b) 2\/7 (c) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 941, 896?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 20*s - 45. Let l be c(-5). What are the prime factors of (l\/(-20))\/(9\/(-17244))?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54115020 rounded to the nearest 10000?\nAnswer: -54120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4909697 minutes to days.\nAnswer: 0.001035395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.08 - -2. Let q = -4.58 - f. Let i = q + 4. Which is the third biggest value? (a) 0 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-4 + -15 + 33 - 3. Suppose -49 = x*d - 159. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/35)\/(180\/216).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2)*(-15 + -41). Let j = 1538\/11 + p. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h**5 + 30*h**4 - 50*h**3 + 25*h**2 + 60*h + 5. Let o(q) = -q**5 - q**4 - q**2 - q - 2. Let z(i) = -g(i) - 15*o(i). Suppose z(d) = 0. What is d?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 20*x**2 + 11*x + 31. Let g be b(-9). Is -1*(-3 + g*-85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -26*l - 1. Let f be w(-11). Let j be (7\/(-1))\/(8 - f\/35). Is j greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*(-2)\/7*2*(-175)\/300.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231472932 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*b - 33*b - 3. Let i(k) = -k**2 - k - 1. Let l(f) be the first derivative of -4*f**3\/3 - 7*f**2\/2 - 3*f - 1. Determine b*l(o) - 5*i(o).\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 29. Let d(x) = 42*x - 67. What is the hundreds digit of d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p + 10 = -3*s, 5*s = -3*p - 2. Let a be (s + 7\/(-3))\/(2\/9). What is the nearest to 3\/4 in -0.1, a, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6131066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((136\/(-476))\/((-12)\/14))\/(1\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*x + 3. Let i be 8\/36*(6 + x). Let 2\/3*j**2 - 5\/3*j - i + 5\/3*j**3 = 0. Calculate j.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18) + -4).\nAnswer: -15*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s + 2*q, 5*s - 2*s = -5*q - 40. Let k(l) = 8*l**3 + 2*l**2 - 1. Let b be k(-1). Let c = s - b. What is the lowest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 4*l - 20, l = 4*o + 4. Let v(d) = d**2 - 3*d. Suppose -25 = -t - 4*t. Calculate the lowest common multiple of v(t) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 2*s + 68 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -6. Suppose 3*f = -2*b - 0*b + 23, 5*f = n. Solve -b + 2 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455253?\nAnswer: 13, 573481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298858 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-45))\/((-16)\/(-60))*6\/(-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.029, -1\/34, 35, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, 11705 = 13*v - 8*v - i. Suppose -x + 484 = -4*o, 5*x - 9*o = -5*o + v. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*sqrt(200).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m - 19 = -5*u, -2*m + 10 = 2*u. Suppose 2*f - 3*p - 2 = -0*p, -10 = -4*f + m*p. Does 5 divide (5 + -1)*14\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -6, y = 2*j - 17. Let s be 4\/j - 2\/5. Let r = 2 - s. Solve -i - i = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h*h)**8\/((h\/(h\/(h*h**(-6))))\/h**8) assuming h is positive.\nAnswer: h**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -14 + 62 - -4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -282*m - 7. Is i(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((36\/8 - -1) + 2). Suppose -p*c + 3 - 3 = 0. Solve 7*u + 4 + 3 = c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 + -136. Let o = 4252 + -4253. What is the third smallest value in -0.02, z, o?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-3 - (-32)\/12). What is the tens digit of 22\/(-1 - z - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or -5597?\nAnswer: -5597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 take away 504?\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/3 - 12\/(-18). Suppose 0 = w*u - 0*u + 144. Let k be (-2)\/9 - 8\/u. Which is greater: k or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16521246 and -23\/16524?\nAnswer: 99127476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28 - 24 - (-10 - 0). Find the third derivative of l*i**2 - 14*i + 23*i**4 + 22*i**2 + 14*i wrt i.\nAnswer: 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*j)*(-9 + 7*j**3 + 9) - j**4 - j**4 + 6*j**4.\nAnswer: 39*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55921570, 55921571, 55921572, 55921573, 55921574, 55921575?\nAnswer: 55921576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18796 = -23*k + 66245. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 215 = 116. Calculate the least common multiple of 216 and u.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2125580892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*10\/8*-20. Do u and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 9. Let j be n(6). Suppose j*w - 9 = 0, -2*g = -w - 22 - 25. What is the remainder when 98 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*d + 379*d + 750*d + 32782 = 0 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 17082.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -11\/5*v**3 + 0 + 8\/5*v + 2*v**2 - 7\/5*v**4 = 0.\nAnswer: -2, -4\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3216.3329 + -0.9329. Round z to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k + 115. Let o(q) = -5*q + 58. Let s(g) = 7*o(g) - 4*t(g). What is the derivative of s(h) wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(2448) - (-1 + sqrt(2448) - sqrt(2448)))*1 + -2)*4)**2.\nAnswer: -480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*w - 39 = 40, -2*x = 5*w - 147. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134 = 42*o - 1722. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -3*i + 234. Let p be (297\/i - (-3)\/(-5))*-4. What is the least common multiple of (13 + -5 - 4) + p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 2*q + 4*q)*(2*q + 2*q - 5*q) + (2*q + q - 2*q)*(0*q - 2*q + 3*q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3\/1)*1. Let y = -1439\/24 - -60. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15843*j + t = -15838*j + 11, -2*j + 5*t = 32 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1708941 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 4*u + 3*j + 2*j, 3*u + 4*j - 176 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(272)*-1 + sqrt(272) + 2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 6, s: 8}. Give prob of sequence bbs.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -20*k + 47. Let j be h(-12). Let t be j\/(-70) + (-1)\/(-50)*5. Sort t, -3, 38.\nAnswer: t, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 8) in base 11?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 13 + 13. Let m(z) = 7*z - 5. Let d(j) = -7*j + 6. Let q be (20\/(-15))\/(2\/(-9)). Let k(g) = q*m(g) + 5*d(g). Give a(k(s)).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -z - 9, z + 80 = -3*m + 69 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 59*y**2 - 29*y - 27. Give x(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h - h)*(0 + 1 - 3) + 0*h + 0*h - 2*h + 2*h - 2*h + h + (3 + 2 - 4)*(3 - 2 + 3)*(9 - 9 - h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 139. What is the fourth biggest value in -2\/5, -1\/7, 6, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4589182313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/10*2\/(-1). Suppose -3*d = -b*c, 0*d + 4*c = -2*d + 24. Find the third derivative of -2*z**4 + 8*z**2 + 5*z**4 - 17*z**2 + d*z**4 wrt z.\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 1. Let z(u) = 2 + 162*u + 3 - 87*u - 73*u. Determine 6*m(s) - z(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11041736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-57) + (-712192)\/(-105716)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -2 - -3) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1408556 - -0.2.\nAnswer: -1408555.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 8\/36. Suppose -2*f = -v*f + 8. Let a = 10 - f. Calculate the lowest common multiple of 10 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*i = 34, -3 = 5*r - 5*i + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Let x(u) = -3*u**2 + 715*u + 1. What is x(g(j))?\nAnswer: -3*j**4 - 715*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 1. Let i be b(-1). Let s(p) = 2 + 0*p**3 + p + 2*p - p**3. Let k(f) = 2*f + 2. Let m(g) = i*s(g) + 3*k(g). Differentiate m(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-25)*(o**(-1)*o)\/(o\/(o*o**(-5)))*(o\/o**0*o)**(-1\/24)\/((((o*o\/o**(1\/6))\/o)\/o*o*o)\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(-601\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t**3 - 4*t**2 + 2*t + 6. Calculate d(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {r: 3, w: 2, t: 2, i: 6}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-4) - 1\/1. Let x = -33715\/4 + 8429. Put -0.6, y, x in increasing order.\nAnswer: -0.6, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 4757 = 5019. Let p = -392 - c. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 130888?\nAnswer: -130884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**4 + m**4 + m**4 + (3 + m - 3)*(-103956*m**2 - 296*m**3 + 103956*m**2) to the form r + j*m**2 + h*m**3 + v*m**4 + a*m and give v.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/(-20)*(-210)\/(-24)*306\/(-1071).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 0 - (9 + 15 + -7 + -8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6444 is divided by 488.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214353 and 278772381.\nAnswer: 12609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-28342)\/(-2) - 5. Let k = b + -9925. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j - 352. Let v be r(-14). Let s = 1.998 - -0.002. Which is the biggest value? (a) -15 (b) 1 (c) v (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, 951 in descending order.\nAnswer: 951, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1143239 - 14034239. Round d to the nearest 100000.\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 25*n + 69. Let a(b) = 4*b**2 - b - 7. Let h be a(3). What is the remainder when 212 is divided by d(h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23355000 rounded to the nearest one hundred thousand?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750972.\nAnswer: 2, 3, 62581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478\/11005 - 2\/155. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-7\/3)*(((t**(1\/3)\/t)\/t)\/t)**(-39))**45 assuming t is positive.\nAnswer: t**4680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106310 divided by -6?\nAnswer: -184385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9261991?\nAnswer: 17, 29, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 104. Let u = x + 48. Let k = u + -517\/5. Which is greater: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19046019.\nAnswer: 3, 6348673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:33 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-45) - ((-2)\/14 - 805\/(-2205))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/6 + n**2 - n. Let f(o) = -o - 1. Let x(w) = 3*f(w) + 4*z(w). Calculate x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6677791 by 617.\nAnswer: -10823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 121c?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l. Suppose -5*v = -2*j + 544, -5*j + v - 486 + 1869 = l. List the prime factors of j.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/86987 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-360)\/(-168))\/((-36)\/(-21)). Factor 45\/4 - 10*s - j*s**2.\nAnswer: -5*(s - 1)*(s + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4*(-1)\/(-32)). Let h = r + 22. Suppose h*a = a + 9205. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 57*o + 6. Let g(r) = r + 2. Determine -2*g(l) + q(l).\nAnswer: 55*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/6543 and 71\/15994.\nAnswer: 143946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**7\/630 + f**6\/18 - 7*f**4\/4 - f**2 - 30*f. Let k(d) be the second derivative of s(d). Factor k(b).\nAnswer: -4*b*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Let n = -3 + 2. Let u be (-40)\/(-18) + -3 - n. Put -0.5, u, v in descending order.\nAnswer: v, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = 7. Solve b*h = 5*m - 10, -h - 2 = -2*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoq when three letters picked without replacement from {o: 1, d: 1, y: 1, q: 2, u: 1, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*v - 6 = 0, 408*x + 36 = 413*x - v. What is the fourth smallest value in -2, -0.0034, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*w - 76140 = -75843 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279 * 0.2.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fa - -7?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -57, -102, -165?\n\"Answer: -9*f**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rkrrkrrrrrkr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = l + 3*r, 2*r + 8 = -2*r. Sort 1\/7, 0.02, l in decreasing order.\nAnswer: 1\/7, 0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {r: 4, p: 7, w: 2, d: 1, c: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1816382334 and -1.\nAnswer: 1816382333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*1 - 238\/(-34))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10.485*0.3\nAnswer: -3.1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 2*x - 2. Let q(o) = -4*o**2 - 5*o - 5. What is 5*k(w) - 2*q(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -5, -0.3834?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 2 = 14*r. Suppose -5*z + z = -l + 57, r*l - 79 = z. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 89. Suppose -2*m = h*w + 2*w - 104, -5*w - 2*m + 132 = 0. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11978 (base 12) to base 11\nAnswer: -16a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxx when four letters picked without replacement from xxexexxxexe?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**3 + 0*k**3)*(7*k - k - k) + (0*k - 2*k + 0*k)*(-k**3 - k + k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21590 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 87?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 73368790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (-6*(-6*(1 + sqrt(475) - sqrt(475)) - sqrt(475)))**2 + 0).\nAnswer: -110382 - 12960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8 = -6*m. Suppose -3*z - m*z = -l + 5, 0 = 2*z - 6. Solve -24 - 4 = 2*y + 5*b, 5*b + l = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 57392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ttnttttnttnttntttt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4 = 298*i - 301*i - 10, -2*i + 2*k = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 5.3. Let n = -145\/168 + 31\/24. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2 + 7\/((-42)\/(-8))). Solve f - 17 = -3*m, -b*m + f - 3*f = -19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 6*q = -5*r, r - 4*q = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2966 + 2965.6. Put -1.03, -3, y in ascending order.\nAnswer: -3, -1.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1077132132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 8*v - 5*v)*(1 - 1 + 2)*(-191 - 186 - 148).\nAnswer: 8400*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {k: 1, l: 1, x: 1, r: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24376, 24499, 24690, 24937, 25228, 25551, 25894?\nAnswer: 26245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127 - -22645?\nAnswer: 2276c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-316)\/(-16)*2. Let g = -46 - f. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 6*b - 3*b**2 - 6*b - b**2 as o + t*b + v*b**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 26. Suppose -c*b + 5 = 1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/2 and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 - 4*k**4 + 2*k**4)*(-3 + 4 + 0)*(45 - 4*k - 43 + 5*k + (9*k - 12*k + 4*k)*(2 + 2 - 6)).\nAnswer: -4*k**5 + 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 185\/5*(-1 + 2). Let x = t - 31. Let q(i) = 3*i**2 + 4*i - 17. List the prime factors of q(x).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 40 + 31. Suppose -2*l + u = -5*d, 4*l - 48 = 5*d + 69. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + 12*m + 4. Let s = 44 - 41. Let t be j(s). Solve 3 = -t*k + 4*x - 25, -2*k + 16 = 4*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5\/8 - 130647*m**4\/8 - 424473*m**3\/2 + 130647*m**2\/2 + 848952*m = 0?\nAnswer: -43536, -13, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 105. Let j be x(-43). Suppose -j*u = -24*u + 5. Let r be (6\/5)\/((-7)\/(-5)). Is r at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5663.4629 - 5664. What is p rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 11\/1479.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1654, -2505, -3356, -4207, -5058, -5909?\n\"Answer: -851*c - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1141\/126 + -15 + 6 + (-73)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.7 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.69734nm in millimeters?\nAnswer: 0.00002069734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -812 (b) 1 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2 + 0*r**3 + 0*r + 3\/2*r**2 - 1\/2*r**4. Find the second derivative of d(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -126.6.\nAnswer: -379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 18111*t**2 - 2070600*t + 59754732.\nAnswer: -3*(t - 5921)*(t - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569948 is divided by 569792.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 0*u - 1036 - 374.\nAnswer: -4*u - 1410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*f + 83 - 83)*(5 + 0 - 2) + 6*f - 3 - 15*f - 10*f to a*f + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4 + 647*t - 642*t + 0. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/(-9) - (-1118)\/9. Suppose -t - x + 31 = 0, 5*t - h = t + 2*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose -b*d = -q - 0*q + 14, -4*q + 56 = -d. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 30 = 14*w - 3*k, 5 = -5*k - 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1194, -3, 3, 14, -1, -2.\nAnswer: -1194, -3, -2, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 - 5 - -8638 - 1*4\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 127*s**2. Let i be m(-1). Let r = 2161\/17 - i. Suppose j - 5*j = 20, -3*k + 2*j + 7 = 0. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4 + 21\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93114 is divided by 46555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:29 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10374 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 141 + 149 - 611 - 24*o + 170.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19\/16 (b) 155 (c) 9.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -10*y + 4*y + 3*y, 2*n - y = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1621.7 - 1503. What is s rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 28. What is t(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017017 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 3*m + m - 1)*(m - m - 2*m) as g*m + c + n*m**2 and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let w(f) = 206*f - 1640. Let h be w(8). What is the third derivative of -p*l**2 - h*l**2 - 34*l**3 + 2*l**2 wrt l?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 16. Let m be (-4)\/y*6 - -3. What is the second derivative of 14*l + 5*l - 26*l + 2*l**3 + m*l wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(5) - (sqrt(5)*-1 + -3)) + sqrt(50)\/(-2*sqrt(10))) - (sqrt(45)*-1 - (sqrt(40)\/sqrt(2))\/sqrt(4) - -2*(sqrt(45)*5 + sqrt(5))).\nAnswer: -25*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36b7 (base 14) in base 8?\nAnswer: -22541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201947 at least as big as 201945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79 and 2?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 28 + 2. Let v(p) = 3*p - 10. Calculate the remainder when l is divided by v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/144*((-4)\/2)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.6+-1341\nAnswer: -1339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15\/17 - 266\/51. Let y be (403 + -1)*20\/688. Let b = 8\/43 - y. Calculate the common denominator of a and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/11)\/4)\/(17\/(-2))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21224.\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/12 + 10*d**2. Let k(n) = 2*n. Determine h(k(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 631, 76, -1057, -2768, -5057?\nAnswer: -7924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffftfftff. What is prob of picking 2 t and 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18137644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38664691501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -121. Let h(f) be the third derivative of -1\/40*f**6 + 0 - 2*f**2 + 0*f + 0*f**j + 0*f**4 - 1\/12*f**5. What is the third derivative of h(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/3 in 0.34, 0, 0.03, -5, 1\/3?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 < -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137685 - 466914 = 88*h - 622741. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -965 + 980. Solve -6*r = -11*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4191341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*h = 1501*h - 3107*h + 1186 + 1706 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -106. Solve 3*l = 14 + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 3. Let x be z(-3). Let h be 2 - 3*(-2 + -3). Let a = h - x. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18578*g - 167193. Calculate u(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -140. Sort 2\/3, i, -0.33 in increasing order.\nAnswer: i, -0.33, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u + 2. Let t(d) = 20*d - 3. Let b(i) = 2*t(i) + 5*z(i). Find the first derivative of b(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (7 - (14 - (-8 - -14))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(336)*1 + 1*-1*sqrt(336))\/((2*sqrt(6)*-2)\/(2*sqrt(242) + sqrt(242) + sqrt(242) + sqrt(242))))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420508*j + 2812*j**2 + 420508*j.\nAnswer: 2812*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 3480 + 16)*4?\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1015570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24756 is divided by 3197?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 14*y**2 - 18*y + 41. What is g(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15228 in 5, -2, 0.3, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1077*u**2 + 4*u - 2. Let x(l) = 1739355*l**2 + 6462*l - 3231. What is 6462*k(n) - 4*x(n)?\nAnswer: 2154*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.4. What is the fourth biggest value in 1, f, 14, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -5*v**4\/8 - 1485*v**3 - 1323135*v**2 - 523961460*v - 571. Solve q(p) = 0 for p.\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/7 + 15*i**3\/7 + 34*i**2\/7 = 0 for i.\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 0*u - 5*u)*(-4*u + 5*u - 2*u)*(1 - 1 - 2*u) + 0*u**3 - 4*u**3 - 6*u**3 in the form n*u**3 + g*u + l*u**2 + h and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 20.6. Let r = y - -2. Let i = r + 0. What is the third biggest value in i, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1346730 and 1795640?\nAnswer: 5386920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 9*s - 24 = 0. Solve s*l + 11 - 27 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 1 - 5. Let m be 2\/6*(h - -8). Suppose c - 5 = m*w - 13, 5*c = w + 5. Calculate the remainder when 8 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 35*b**2 + 55*b - 10. Let g(j) = -1 + j - j**2 + 0*j + 9*j**2 - 7*j**2. Let t(q) = -30*g(q) + h(q). Factor t(f).\nAnswer: 5*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 + m**2)*(0*m - 2*m + 4*m)*(-5 - 5 + 9)*(-11*m + 21*m + 6*m).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776979 is divided by 70632?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 1170, 1981?\nAnswer: 2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(-2*sqrt(6)) - sqrt(136)\/(sqrt(32)\/sqrt(4)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t. Let p(w) be the second derivative of -w**4\/12 - 10*w. Determine f(p(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -2*g, -5*g - 17 = -s + 3*s. Let f = g + 17. Calculate the remainder when 26 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(147\/35)*((-12)\/(-10))\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 62, 57, 52, 47, 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*i + 6 - 38, -3*i + 28 = -2*x. Solve -4*k = j - i, 4*j - 2*j + 7 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 6. Let z be n(5). Let m = -3.9 + 2.9. What is the closest to 1 in m, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/(-7))\/(1\/7). Suppose 0 = -2*o + 4*o + 180. Let n = o + 130. Solve -5*t + a = -2*l + 3*l, -n = -5*l - 3*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(95)*-1 - sqrt(95))\/(1*sqrt(405) + sqrt(5) + sqrt(5))*4 + 5)**2*-6.\nAnswer: -63750\/121 + 1200*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - 115. Let q = v - -551. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1, -5, -2710449.\nAnswer: -2710449, -5, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -1013, -2282, -4077, -6398?\nAnswer: -9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/6)*u\/(u\/(u\/(((u*u\/(((u*u**2*u)\/u)\/u))\/u)\/u*u)*u*u))*(u*u\/(u**(2\/9)\/u))**3 assuming u is positive.\nAnswer: u**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.05 (c) -6553 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/70*14\/30*2\/(-2)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20684 (base 10) to base 7\nAnswer: 114206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257852082665 - 1257852082665 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4983 = -4*g, 0 = k + 2*g - 0*g - 1651. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6391 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0388 and 9?\nAnswer: 0.3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2197a + 1?\nAnswer: -21979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344516.\nAnswer: 2, 3, 19, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4. Let v(t) = 390*t + 40. Give -10*s(w) - v(w).\nAnswer: -390*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(0*x**2 + 4*x**2 - x**2) + (6*x - x - 3*x)*(-5*x - x + 4*x) - 7*x**2 + 0*x**2 - 4*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 21*r**2 + 329*r - 5. What is p(-14)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 6*t - 3. Suppose -2*w + 2*i = 2*w - 18, -i - 3 = 0. Suppose 25 = w*f - 5*m, 1 = f - 2*m + 4*m. Determine p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 120. What is the remainder when 49 is divided by 1*(12 + y - (0 + -4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - (sqrt(320) + (sqrt(320) + 0 + -5 - sqrt(320) - sqrt(320)))) + -5)*-6)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 582, 593, 622, 675, 758, 877?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1502, -2986, -4466, -5942, -7414?\nAnswer: -8882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1648951 meters in kilometers?\nAnswer: 0.0001648951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - o**2 - 5*o + 1. Let m(q) = -q**3 + q**2 + 1. Let z = 10 - 8. Let y(s) = z*m(s) + i(s). Let w be y(-3). Solve w = -2*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6247462+-0.08678627\nAnswer: -6247462.08678627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - 26\/24. Let x be (-45)\/6*(208\/(-40))\/(-13). Which is the third biggest value? (a) -1\/3 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/(-6) + (-24)\/36. Suppose 5*k + 4*h - v = 48, 5*h = -2*k + 30. Let l(q) = k - q - 10. Let p(u) = -u**2. What is l(p(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 81. Let j(l) = l - 6*l + 3 + i*l + 2*l**2 - 3*l**2. Let u(y) = y**2 - y - 1. Calculate -j(s) - 3*u(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59760*z**5 + 65901*z**2?\nAnswer: -3585600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19677*y**5 - 2*y**2 + 5553*y wrt y?\nAnswer: -1180620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71326437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8912 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433472244 to the power of 1\/2, to the nearest integer?\nAnswer: 37861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdf when three letters picked without replacement from {d: 11, f: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68))**2 - (4 + sqrt(17) + -3 + sqrt(17)).\nAnswer: -2*sqrt(17) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 - 7*i - 1. Let g be m(4). Let o = -74 - g. Calculate the remainder when o is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and -35863.1269.\nAnswer: -35863.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 + 287 + 1038 + 1456 + 384)*(-37*v - 15 + 15) as b*v + z and give b.\nAnswer: -121323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33250321 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90.225 + 2448.5.\nAnswer: 2538.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -j - 7, -h + 0*h - 25*j + 203 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.35 - 0.15. Let i = 0.7 - b. Let s = -175\/1222 - 1\/94. Sort i, 2\/15, s in ascending order.\nAnswer: s, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l - 30512 = -184*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51648045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7290340 and 1442.\nAnswer: 51032380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 9*k**3\/2 - 11*k**2 + 72*k. Find the first derivative of h(n) wrt n.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(429\/63))\/(28\/(-1694)*-22)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3894 + 3856. Which is the third biggest value? (a) 2 (b) -2\/7 (c) 6 (d) z (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 7963*t**4\/4 - 53*t**3\/3 + 23*t - 1193. What is the third derivative of m(v) wrt v?\nAnswer: 47778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*x - 12 = 0, x + 1 = 3. Let g be (-21)\/189 - i\/9. Is g != -12\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let j be (2 - 2)\/2*1. Let a(t) be the third derivative of 0 + j*t + 0*t**3 + t**2 - 1\/12*t**4. Give a(z(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 1 + 11*s**4 - 5*s**4 - 4*s**4 + 8*s**3 to the form z*s**2 + l*s + p*s**4 + v + h*s**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 63 - 20 = -5*k, 0 = 5*a + 3*k - 26. Let v(t) = -8*t**2 + 3*t. Let o(g) = -7*g**2 + 2*g. What is a*o(c) - 6*v(c)?\nAnswer: -c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-18))\/((140\/(-21))\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2. Let h(b) = b - 8. Let m(i) = 3. Let k(q) = -q**3 + 9*q**2 - 15*q - 1. Let d be k(7). Let l(p) = d*m(p) - 3*h(p). What is l(r(n))?\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1815\/(-231)*2)\/(6\/(-21)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 51. Let d(u) = -3*u + 152. Let j(h) = 11*a(h) + 4*d(h). Let k(p) = p**2 - 180*p + 1221. What is the remainder when j(0) is divided by k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -423524\/13 at most as big as -32578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 346506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 30. Let l be m(15). Let i = l - 26. Suppose -i*n - 4*w = 8, 5*n + w - 6 = -0*w. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.71449 millimeters in centimeters?\nAnswer: 1.871449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 339 = -7*i + 39*i + 2691 for i.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672905131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.97 - -39.47. Which is the fourth biggest value? (a) -4 (b) -0.2 (c) -5 (d) l (e) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2*s**2 + 8)*(-38 - 18*s + 38).\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 21 = 4*z - 37, 4*l = -3*z + 12. Suppose 2 + 3 = -5*j, 2*j - 38 = -5*a. Solve l*n + 2*n = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832) + (sqrt(832)*1)**2*-5)*1.\nAnswer: -4161 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:56 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.113 - 0.277. Let z = 41.278 + t. Let l = z + -20. Round l to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwwtffftf. Give prob of sequence tw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(130\/(-30))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 82\nAnswer: -9\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -78.5. Let f = 28 + v. Which is the third biggest value? (a) -2 (b) f (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 7075 - 7075.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6*a - 4. Let i(u) = u**2. Let j(h) = -2*i(h) + m(h). Calculate j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2) + -2*sqrt(2)) - (sqrt(363) + sqrt(363) + 0 + sqrt(363)))**2.\nAnswer: 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r - 220 = -4*l, 3*r + 2*l - 132 = 0. Let j be 3 + (1*(-121 - -3) - 0). Let w = -71 - j. Is r > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 118 - 41 - 32 - 2491*m**2)*(-3*m + 4*m + m).\nAnswer: -4982*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2459 + 2459.09392. What is a rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/4 + 69*a**4 + 22931*a**3\/4 + 133583*a**2 + 872727*a - 1012112 = 0?\nAnswer: -122, -17, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/24 - c**3\/6 + 7*c**2. Calculate y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124941615 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 293177 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**4\/6 - m**2. Let t(l) = -l**2 + l - 5. Let c(f) = -12*f**2 + 11*f - 55. Let o(k) = 2*c(k) - 22*t(k). Calculate o(y(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:27 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6293092 is divided by 2205?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389\/3 - 1*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 28067*z - 224600. Calculate p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5 - 39\/5*b + 33\/5*b**2 = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -51*r**2 + 151*r - 20. What is n(9)?\nAnswer: -2792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 559, 592, 647, 730, 847, 1004?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230*d + 112*d - 34*d**2 + 117*d)*(-6*d**2 - 1 + 1) to the form p + r*d**4 + j*d**2 + w*d + k*d**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 52396415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-686)\/28*756\/1323.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 - 1\/120*c**6 - 1\/2*c**3 + 1\/12*c**4 - 3*c**2 + 0*c - 1\/30*c**5. What is s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + -14 - -16) + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 9. Let d be k(-9). Suppose 0 = -d*q + 4*q. Suppose 4*f - 41 - 3 = q. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*z - 792. Let y = 186 + z. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 4*t**2 - 3*t - 2. Let p(y) = -y**2 + y + 1. Let i(w) = -m(w) + p(w). Suppose 6*s = -29 - 13. Let c = s + 11. Determine i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 times 0.04?\nAnswer: 13.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25924 is divided by 162.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-80)\/(-60) - 9).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, m: 2, n: 1, u: 2, l: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1. Let j(m) = -17*m + 16*m + 0 + 8. Calculate -6*b(d) - j(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741 + 741 - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -446715?\nAnswer: -1\/148905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 123*a = -0*s - 125*a + 374*a - 125*a, -2*a = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and 131\/131566128.\nAnswer: 131566128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnnnnnnnnndnd. What is prob of sequence nndd?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) - sqrt(110)\/(sqrt(15)\/sqrt(3)))\/(sqrt(99) + sqrt(99)*-2 - sqrt(11)) + -2)*4 + 5 + 3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2103 from -24582.4.\nAnswer: -22479.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 (base 14) in base 6?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2664264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1831*p**6 - 345598*p**2 + 347384*p**2 - 302*p**6 wrt p.\nAnswer: -255960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/161231882 and -43\/12032230.\nAnswer: 806159410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36013274 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + d - 15, 0*j - 21 = -4*j - 3*d. Let r(c) = 2*c**2 - c - 3. Let a be r(j). Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*s + 14392 = 298*s - 9798 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 169 = -k, 30*k = 25*k + m + 839. Calculate the greatest common divisor of k and 6216.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4377, 3870, 3363, 2856, 2349, 1842?\n\"Answer: -507*g + 4884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:18 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165735813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1058292\nAnswer: 529146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 355310013.\nAnswer: 2\/355310013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 10:02 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/21))\/((y\/(y*y**(3\/4)*y))\/y) assuming y is positive.\nAnswer: y**(299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5251 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1335*j**2 + 7863*j**2 - 9261 - 1323*j + 1322*j**3 + 65*j**4 - 2*j**4 + j**5 = 0?\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 55*d**2 + 1301*d + 71597. Calculate i(-55).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 2.6?\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18814*-0.3.\nAnswer: -5644.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 7. Let q(w) be the second derivative of w**4\/4 - 3*w**2 + 3*w. Let b(k) = 7*q(k) + 6*u(k). Let y(v) = -2*v**2. Give b(y(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*r - v, -3*r + 219 = 2*v + 2*v. What is the common denominator of (-7)\/21 + (-2)\/(-96) and r\/(-4)*2\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101890 and 88642.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/2677, -1, 0.7, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 t when four letters picked without replacement from {f: 3, z: 11, x: 1, t: 4}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-4)\/(-18)). What is the third derivative of -8*q**c + 11*q**3 - 3*q**3 + 3*q**6 - 3*q**2 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.4, 2\/9, -0.5, 2, -52 in ascending order.\nAnswer: -52, -9, -0.5, -0.4, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 + -2 + (-1 - 2). Let t be w\/24*24\/2. Suppose -t*c = -c - 9. Solve -3*a + 2*a = -p, 4*a + c*p = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29457 + 88370\/3. Put 80, q, -3 in ascending order.\nAnswer: -3, q, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 - (-5)\/(20\/8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3098349*n**3 - 4266690*n**2?\nAnswer: 18590094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6462.2 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160445 is divided by 1054?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (5*(sqrt(133) + sqrt(133)*-2 - sqrt(133)) - sqrt(133)))\/sqrt(7).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17813806 divided by 2?\nAnswer: -8906903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25351 (base 8) to base 16\nAnswer: -2ae9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/2*i**2 + 3*i - 1. What are the prime factors of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g - 10*g + 4*y, g - y + 6 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24941013.4 to the nearest 10000.\nAnswer: 24940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**3\/6 + 2*z. Let s(p) = -6*p. Let o be 77*(14\/35 + 14\/(-10)). Let x = -72 - o. Determine x*w(f) - s(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3539 or 3541?\nAnswer: 3539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*i**4 - 189*i**3 + 66*i**2 + 342710 wrt i.\nAnswer: -48*i**3 - 567*i**2 + 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3875.5269126 less than 8?\nAnswer: 3883.5269126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5010\/(-50) - 2\/(-10). Let b = -71 - p. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770616 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 a be 2 + -2 + 5 + -1 + -1. Is 28\/(a + -4)*(-998)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269*-347126.\nAnswer: 93376894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -78. Let o = -25 - w. Sort o, 2\/7, -0.2, 0.7 in descending order.\nAnswer: 0.7, 2\/7, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-4) - -6)*(-66)\/9. Calculate the remainder when (55 - 25) + 0 + 2 is divided by 4\/s - 402\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 9 - 68 - (14 + -33)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(256)\/(-1*sqrt(512)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(18\/11)*p*p))\/(p*p**(-2\/3)*p*p*p)*(p*p**(-38))**(1\/50) assuming p is positive.\nAnswer: p**(-12721\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2927, 0, -1, -0.5, 190\/13?\nAnswer: 190\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18429, -79141, -180347, -322053, -504265, -726989, -990231, -1293997?\nAnswer: -1638293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300)*5 + 4 + sqrt(300)*2)*-2 + (sqrt(300) + -2*sqrt(300)*-3 - ((-2 + sqrt(300))*-5 - sqrt(300))))**2 + -2.\nAnswer: -6840*sqrt(3) + 108622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -3125 = -3125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6177 - 176*y**4 + 0*y**4 - 6201 wrt y?\nAnswer: -704*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45070.130116 take away 451?\nAnswer: -45521.130116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 + (-213999)\/2. Round t to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/(-9))\/((-1)\/(-3)). Let q(h) = 51*h - 37. Let z(o) = 26*o - 18. Let j(l) = -4*q(l) + 7*z(l). Let x(t) = 7*t - 7. Calculate s*x(n) + 5*j(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2 - 9*n - 40. Suppose 5*v = 0, -13 = -5*i - 2*v - 68. Is d(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(132\/(-48) + (1 + 6 - 11)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11022.11 + -11022.0527271. Let b = x + -0.0573. What is b rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/9 (b) -2 (c) 2\/7 (d) -36 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = 3*a - 2, -5*r + 29 = a. Suppose 4*l = a*l - 20. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -95.342, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(4 - (-18)\/(-3)). Let m(h) = -h**3 - 2*h**2 - h + 9. What is the common denominator of m(r) and 25\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 933, 3979, 9059, 16179, 25345?\n\"Answer: f**3 + 1011*f**2 + 6*f - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 10, -3*i + 26 = -4*a + 8. What is the remainder when 15 is divided by 2 - a - (-6 - -2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 + 2*u**4 + 3*u**4 + (-7*u**2 + 3*u**2 + 2*u**2)*(-6*u**2 + 4*u**2 - 6*u**2) to the form h*u**3 + r*u**2 + a + j*u**4 + p*u and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850963571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2152\/39 - 166\/3. Which is the closest to 0.1? (a) 9 (b) 4 (c) -46 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-319)\/55 + -3 + 8 + -1)*-15\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 - 5*n**3\/3 - 5*n**2\/2 + n. Let x be u(-8). Let c = 16 - x. Solve 2 - c = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 225516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16560227 to the power of 1\/2, to the nearest integer?\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 48. Let q = -6 + 81. Calculate the highest common divisor of v and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 174*f + 451*f - 2393*f - 17*f**3.\nAnswer: -24*f**3 - 2116*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100330 + 3?\nAnswer: -100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 234 - 223?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11847264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 15 = -11*u - 2*h, -3 = u - 2*h. Solve -u*z - 25 = 2*g - 12, 5*z + 3*g = -22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 3. Let y(r) be the second derivative of 7*r**3\/6 + r**2 - 4545*r + 2. Give -3*c(o) + 4*y(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 37 + 5 = 0. Calculate the lowest common multiple of 24 and j.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -1*286\/(-39) + 8 + (-5)\/(-6).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*z - 2 - 10, 3*p + 7 = -z. Which is greater: 1\/29 or z?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 3, l: 16}. Give prob of sequence kggl.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (255\/(-5))\/17. Solve 0 = 2*p + 4*o + u, -4*p + 6 = -7*p - 3*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -84 + 0*z**2 - 1026*z + 1046*z - z**2. What is the least common multiple of m(7) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*z**3\/5 - 7758*z**2 + 19762704*z\/5.\nAnswer: -z*(z + 3978)*(11*z - 4968)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111 + -307731?\nAnswer: -307620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 3519.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25288*b*z**4 - 393*b*z + 4*z wrt z?\nAnswer: -303456*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 12*m**2 - 11*m + 3. Suppose -3*o - i + 0 + 32 = 0, -2*i - 24 = -2*o. Let f be d(o). Factor 14 + f*w**2 - 3*w**5 + 9*w**4 - 14 - 9*w**3.\nAnswer: -3*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Suppose 21 = i - 4*i. Let f(q) = 2*q. Give i*g(o) - 4*f(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000222 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -961 + 659. Let c = h + 310. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 23*g**3\/3 + 9*g**2\/2 + 513*g - 105. Find the first derivative of p(d) wrt d.\nAnswer: 46*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 1}. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-5 - (-1 - 11 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 - 6*j - 3. Let b(u) = u**2 + u + 1. Let a = -2533 - -2528. Calculate a*b(c) - l(c).\nAnswer: 5*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266379031 is divided by 88793006?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4789353844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -116, -1144 in descending order.\nAnswer: 3, -116, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 4*w**4 - 3*w**4)*(-2*w + 2 - 2)*(-1 + 7 + 2)*(2 - 4 + 0).\nAnswer: -64*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734161 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n*o**4 + 2*n*o - 2*n + 44452*o**4 + 6*o + 86 wrt o?\nAnswer: 48*n*o**2 + 533424*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -1120, -2480, -4394, -6874, -9932, -13580, -17830?\nAnswer: -22694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from wjjnwc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/35 and 43\/1999.\nAnswer: 69965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 110 - 25 = 0. Suppose 5*d - y = -2. Suppose a = -2*a + 6, -5*g + 45 = d*a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -312530 to the nearest 1000.\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 1\/4 (c) -2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128484789?\nAnswer: 3, 139, 308117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 468*d + 75565.\nAnswer: -(d - 127)*(d + 595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.61 + 0.1. Let r = f - -45.29. Let w = r - 50. Sort -2\/3, -4\/3, w in decreasing order.\nAnswer: -2\/3, -4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9084 + 0.43021. Let i = -120 - -118.66. Let k = v + i. What is k rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:38 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/140)\/(2\/(98\/(-7)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3546, -7091, -10640, -14193, -17750, -21311?\n\"Answer: -2*c**2 - 3539*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/12*(-378)\/(-140)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 204900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 6 - 7*g + 0*g + 5*g)*(g + g + g)*(0*g - 6*g - 6*g) to u*g**3 + f*g + m + z*g**4 + p*g**2 and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:26 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 7 - 0) + 3. Suppose -248 = -k*u - 185. Calculate the highest common divisor of u and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 54*f - 8145. Let n = f - -2333. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d54b88 - -4?\nAnswer: d54b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 28*q**2 + 31*q - 55. Let p be x(29). Let b be (-6)\/p*27\/(-6). Factor 0*j**4 - 6*j**4 + j**4 + b*j**4 - 4*j**2.\nAnswer: 4*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6594989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 24 - 0. Suppose 211 = -3*k - y, -4*k + y - 341 = k. Calculate the common denominator of 4 + (f - k\/15) and 25\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:35 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j - 2*j)*(623 - 956 + 811) to the form p*j + w and give p.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 107 + -5c9a6?\nAnswer: -5c89d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 13) to base 8.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7968938 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-140) + 4\/14. What is the nearest to -1\/3 in -5, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6)\/((-135)\/25 + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1565 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.602 - 4.759324. Let u = k + 0.05341. Let t = 0.104 + u. What is t rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5255.143 millennia in decades?\nAnswer: 525514.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 28 = -9*p. Let o = -0.11 + 13.11. Let t = o + -13.3. Which is the second biggest value? (a) t (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1271378, 1271398, 1271418, 1271438, 1271458, 1271478?\nAnswer: 1271498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*o - 157*o - 27 = 0. Suppose 21 - 9 = 2*l. Suppose -y - 3 + l = 0. Solve 6*v = y*v - o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 615951\/(-27)*1\/(-7). Suppose 11*z - 657 = -h + 9*z, -5*h + 3*z + r = 0. List the prime factors of h.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 202091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 30*b**4 + 341*b**3 - 1784*b**2 + 4032*b - 2560.\nAnswer: (b - 8)**3*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + -2 - (3 + (7 - 6)) - -77.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1b18981?\nAnswer: 1b18978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/48 + 1*8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8712 divided by 4?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*d + 143*d + 142*d + 139*d - 566*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70340 or 3\/7?\nAnswer: 70340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686024277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/6432016 and 151\/33768084.\nAnswer: 135072336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 85869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 - 10*j + 0*j**3 - 4*j**2 + 2*j + 2*j**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 58*a + 12. Let f(d) = 15*d - 1. Give 5*f(z) + j(z).\nAnswer: 133*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 32?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7438.\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j**2 - 5*j + 7. What is the units digit of a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 17*i = 282. Let u = -4 - i. Determine q, given that 6*q**2 - 24 + 138*q**3 + 12*q + u*q**3 - 278*q**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1200.027 millilitres?\nAnswer: 1.200027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*d - 14 = 0, -2 = -5*d - 22. Suppose 2*f - c*b - 202 = -2*f, -3*b - 48 = -f. Suppose -f = -4*t + 9. Solve v = -4*v - t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, l: 3, e: 6}. Give prob of picking 1 e and 1 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51 from 106.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 20, 38, -4.\nAnswer: -4, -2, 2, 20, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 - 18*i + 10. Give w(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 82*b**2 + 65 + 101.\nAnswer: -82*b**2 + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d - 59 = -1004. Solve -406*h - d = -399*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*o + 25, 2*a + 5*o = 2*o - 15. Suppose -9*g + 14*g - 70 = a. Let q = -1 - -15. Is q less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3437426 - 9.534671.\nAnswer: -3437435.534671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/5)\/((t\/(t**(-17)*t)*t*t)\/t*t) assuming t is positive.\nAnswer: t**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1031958*r - 1032032*r + 9546 for r.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 17028.811.\nAnswer: -3405.7622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*l = 39, 6 - 26 = -4*l. Suppose 94 = 5*a - 3*a. Calculate the remainder when a is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -819 - -825. Let h be 16\/9 - (-4)\/18. Let t = h - -1. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v*(v*v*v**(-4)*v)\/v)**(-1\/24) assuming v is positive.\nAnswer: v**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 + -1.4. Sort c, 4, 5 in ascending order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6487, -6654, -6817, -6976?\n\"Answer: 2*s**2 - 173*s - 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/2 (c) -0.49695172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*b - k - 100, -k = 0. Suppose 12 = 3*g - 3*v - 0, -v = -5*g + b. Calculate the smallest common multiple of g and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 30) + 18 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) 8\/23 (c) -0.1 (d) 1\/4 (e) 1\/5 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 6*u - 2*u. Let j(q) = 33*q**2 + 2. Determine y(j(x)).\nAnswer: -66*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17694828 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4, 449*q + 20 = 5*l + 444*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -104, -156?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuucuhchhuh. Give prob of picking 1 h and 2 u.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (702\/(-6435))\/(2\/(-10))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000368644178 rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -403, -2336 in descending order.\nAnswer: 48, -403, -2336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 6*q + 0*q)*(-3 + q**2 + 3) - q**3 - 2*q**2 + 2*q**2 + 3 - 3 - 2*q**3 - 2*q**3 + 0*q**3 + 3*q**3 + (2*q**3 + 3 - 3)*(4 - 4 - 1).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1. Let s(a) = -2 + a - 2*a - 7. Let p(f) = 6*i(f) - s(f). Let o be (2 - (-24)\/(-9))\/((-8)\/(-60)). Calculate p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1569*p**3 + 811*p**3 + 3*p + 753*p**3 - 1079*p**2 + p - 2*p**3 - p + 5*p + 2*p**3 - 5*p + (-5*p + p + 3*p)*(-2 + 2 - p**2).\nAnswer: -4*p**3 - 1079*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2203090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 1. Let p(a) = z*a + 9*a + 10*a - 11*a. Let v be p(3). Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 - 11*v - 12. Let z = 21 + -29. What are the prime factors of t(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -58, -86, -114, -142, -170?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5377 + 5382. Solve 5*t = -5 - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p**2 - 7*p + 8. What is the remainder when 50 is divided by x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259708601.\nAnswer: 29, 521, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21036 or -42073\/2?\nAnswer: -42073\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:36 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/6 - (-18)\/27. Suppose -10*k = -c*k - 36. Solve -3*o - 2*o - 20 = -3*h, 4*h + k = -3*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/42 and -181\/25578?\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-668)\/36*(-28)\/630. Let p = 709 + -57427\/81. Let t = p - h. Sort t, -3, 1, -1\/2 in ascending order.\nAnswer: -3, t, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22013 divided by -15.\nAnswer: 22013\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**4 + 3*t**4 - 4*t**4)*(-70 + 59 + 121)*(4 - 2 + 3) as k*t**3 + i*t**4 + w*t**2 + y + g*t and give i.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8221*f + 41067. Calculate s(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 - 100\/(-55). Let d(v) be the second derivative of v**4\/12 - v**3 + 2*v**2 - 5*v. Let c be d(5). Sort c, u, 1 in increasing order.\nAnswer: c, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 30 = 2*h + 4*y, 33 = -5*h - 3*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 4*r**3\/15 + 26*r**2\/5 + 6867. Let v(s) = 0. Calculate s.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(-4*k - 3*k + 6*k) + 3*k**2 - 5*k**2 + 6*k**2 + (-4*k + k + k)*(k - k - k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l. Let o(a) = -144*a**3 + 15*a**2 + 5*a - 1. Let d(h) = 5*i(h) - o(h). Find the third derivative of d(s) wrt s.\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 356*u - 308*u - 2826672. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/8)\/((-6)\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 8. Let a be i(-10). Let g be (-142)\/(-7) + ((-114)\/a - 3). Calculate the highest common factor of g and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Suppose 0 = 12*p - 10*p - 2010. Let r(n) = -2*n + 1005 - p. Determine r(c(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1546*p + 21643. Determine z(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065832567 to 7 decimal places.\nAnswer: -0.0006583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/57*(-12)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -639 - -485. Sort t, 0, 0.2 in ascending order.\nAnswer: t, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*i + 10 = 0, -m + 4*i + 2 = 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*v - 3*q - 95, 0 = q - 2. Differentiate v - 11*b - 30 - 66 with respect to b.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jrzjjwjuuj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3459*r = -3249*r + 1050 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6811600 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22173 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -7.59, 3\/4, -2, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-10) - ((-78)\/10 - -7). Suppose -3*b + 472 = -4*p, -f*b + 4*p - 808 = -9*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 61) + -2*1. Let k be 33\/c*40\/(-36). Solve k*j**3 + 10\/3*j**2 - 2*j**4 - 4\/3 - 2\/3*j = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -44. Let b = k + -133. Let l = b - -108. Solve 0 = -2*d - 3*c - 16, -c + 0 = 2*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 6. Let v be m(-4). Solve -3*j = 2*i - 10, v*i - 14 = -0*i - 5*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 v when four letters picked without replacement from {m: 8, v: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6)*220\/(-30). Suppose -524 = -x*f - 62. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1 + 2*x - 2*x - x. Let o(y) = -2*y + 3. Let a(m) = -6*b(m) + 2*o(m). Let g(p) = 7*p. Give g(a(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 93560 = -132628. Let o = 25396 + j. What is o rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 610124 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqhbh. What is prob of sequence hhq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:37 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 8 - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 30*i**2 + 3*i. Suppose -5 + 3 = p. What is the units digit of j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1387080.40619 + 1386984.5. Let y = r + 95.9. Round y to 4 dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2676\/(-15) + (-4)\/(-10). Let u be 1\/6 + w\/(-12). What is the units digit of (-3)\/(-6) + u\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 0.06, 0 in decreasing order.\nAnswer: 0.06, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*k - 1546 + 1546 - 728*k as w*k + a and give w.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 11 - 7 = 0. Let d(j) be the second derivative of 0*j**3 - 1\/2*j**2 + 1\/30*j**6 + 0*j**4 + 0 + 0*j**5 - l*j. What is the derivative of d(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 45*a + 17. Let t(o) = -5*o**2 - 135*o + 50. Let b(y) = -17*l(y) + 6*t(y). Let m be b(11). Solve d + 3*j + 8 = 4*j, 5*d - j + 24 = m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760174 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*s**3\/3 - 17744*s**2\/3 - 1952402*s\/3 - 20261080 = 0. What is s?\nAnswer: -420, -269\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21279540 by -42730.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2364 - -2362. Let y be 2 + (-1)\/((-1)\/(-2)). Sort y, 3, b.\nAnswer: b, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.5. Which is the nearest to -0.1? (a) j (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 58. What is the remainder when 74 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 183398 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14008072*f + 57489627.\nAnswer: 14008072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192471963 and 143437?\nAnswer: 1347303741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3900 + -2100. Is a a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5466\/43051 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2572, 2743, 2916, 3091, 3268, 3447?\nAnswer: 3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -281\/4? (a) 0.2 (b) 0 (c) -4 (d) -24\/41 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/795 - -7099\/5565. Sort -5\/11, u, -1 in descending order.\nAnswer: u, -5\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11565 and 2421.\nAnswer: 3110985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*h = -81*h + 2*j + 420, 3*j = -5*h + 420. What is the remainder when 107 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j. Let g(z) = z**3 + 11*z**2 - z - 1. Let h(k) = k**2 + k - 1. Let i(f) = -g(f) + 5*h(f). Let c be i(-7). List the prime factors of a(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = x + 28, 0 = x + 5*u + 25. Which is the second biggest value? (a) x (b) 0.1 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/240*c**5 + 0*c**3 + 0*c - 1\/48*c**4 + 5*c**2 + 0. Suppose s(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*j - 779, 2*a - j = 339 + 38. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((52\/18)\/((-372)\/279))\/((4\/(-18))\/1)\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 9*o - 3*n - 2001, -3*o - 2*n + 2995 = 0. Suppose 0 = 3*f - 5*b - 756, -5*f = -4*b - o - 274. What are the prime factors of f?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(26)*2*3)\/(sqrt(162)*-1).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 19*k - 36 + 0*k**4 + 35 + 8*k**4 - 20*k - 6*k**4 to the form u*k**4 + n*k + l*k**3 + c + a*k**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 19. Suppose 0 = a - 2*a + 3*d + v, 4*a - 3*d = 21. Calculate the remainder when 20 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 5. Let t(o) = -16*o + 26. Give 4*t(p) + 22*w(p).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37435 (base 10) to base 15\nAnswer: b15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*i + 8218 + 3866 = 0. Calculate the remainder when 1525 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.371 + -0.629. Sort 7, -4, -0.1, x.\nAnswer: -4, x, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883052617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -22*s - 18. Suppose -2*c = -17 + 27. Let r(o) = -13*o - 9. Let j(h) = c*r(h) + 3*v(h). Determine j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2. Let d(j) = 4*j - 2. What are the prime factors of d(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -92*t**5\/15 - t**4\/24 + 158*t**3\/3 + 106*t**2. What is the second derivative of m(l) wrt l?\nAnswer: -736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 116 + 40 = 5*r, -2*r = 3*c + 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from {c: 9, w: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-19 + 9 - 0) + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.6 + -94. Which is the nearest to 1\/4? (a) -2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/((-13)\/52)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 2*o**2 - 1. Let n(q) = 11*q**3 - 6*q**2 - 2*q - 2. Let s(t) = -3*a(t) + n(t). Let x(v) = -26*v**3 + 11*v - 6. Determine -11*s(i) - 2*x(i).\nAnswer: -3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + 115*l + 2795. Let n(o) = -6*o**3 + 230*o + 5591. Let u(k) = 5*h(k) - 3*n(k). Differentiate u(p) with respect to p.\nAnswer: -6*p**2 - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46306270 divided by -113?\nAnswer: -409790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1275602497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484788190?\nAnswer: 2, 5, 61, 109, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 2*h**2 - 3*h**2 + (1 - 1 + 2)*(-21*h - 2*h**2 + 21*h) + 1 + 258*h - 128*h + h**2 - 128*h.\nAnswer: -4*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*d**3 - 3512*d + 2*d**2 + 133*d**4 + 150*d**3 + 3528*d in the form l*d**2 + n*d + s*d**4 + p + q*d**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12620 + -66613?\nAnswer: -101433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 80 - 2817*k**3 + 1403*k**3 + 1404*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140.55 - -87.9. Let s = x - 0.35. Let m = s + 52.925. Round m to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r, 5*r = t + 2 + 18. Suppose -3*o - t*q + 8743 = 0, 12*q = 5*o + 8*q - 14510. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 + -32233?\nAnswer: -33313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2614084 divided by 2662.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.6905mm in kilometers?\nAnswer: 0.0008216905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 550527854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 18263180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -405, -1482, -3277, -5790, -9021, -12970?\n\"Answer: -359*k**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06107? (a) 1 (b) -0.2 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/4 - 3)\/(6\/8). Sort 5, 3, r, -1.\nAnswer: -1, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 17*w - 25*w)*(6 - 3 + 0).\nAnswer: -24*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -30*l**2 - 3*l + 4. Let x(u) = 30*u**2 + 4*u - 5. Give 4*m(h) + 3*x(h).\nAnswer: -30*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from eemeqeqqeembbbemqm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2294 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*f + 0)*(9*f**4 - 3*f**4 - 5*f**4) - 1 + 5*f**5 + 1.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + y - 352, 3*y - 12 = 0. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, 5*f - k = -0*f + 19. Suppose f*j - 537 = j. What are the prime factors of j?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose 20 = -v - s*v. Let p(m) = -3*m - 6. Determine p(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 4 (c) 29 (d) -8 (e) -4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**5 + 4*o**3 - 7*o. Let w(s) = -4*s**5 - 3*s**3 + 6*s. Let y(h) = -3*b(h) - 4*w(h). What is the second derivative of y(l) wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpjvvpjvvj. Give prob of picking 1 p and 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i + 107. Let h be l(11). Solve 18*t - 3*a + 5 = h*t, 4*t = 4*a + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 751\/1563421 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 542386 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 232286472.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -30. Let n be (a\/14)\/((-3)\/4). Let 2\/7*c**n - 4\/7*c + 2\/7 = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -f + 13, 4*f - j - 28 = 4. Suppose 4*u = f - 33. Let p(s) = -3*s - 13. Let b be p(u). Solve 2*v - 7*v + b = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 18. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10413 (base 5) to base 14.\nAnswer: -3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9629401 + 2153*z - 9629401 - 2162*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h**7)\/(h*h*h**(-6)*h*h)**13 assuming h is positive.\nAnswer: h**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9*p = -39. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -725.97 - -709. Let h = 0.03 - p. Let w = h - 16.9999957. What is w rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1171172, -2342335, -3513498, -4684661, -5855824, -7026987?\nAnswer: -8198150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 374*i - 2 + 334*i to the form w*i + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1928 - -728a?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - 117*q + 369. What is o(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(49)\/(1*sqrt(7)))**2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 127*c**2 - 7*c - 7. List the prime factors of a(-2).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 w when four letters picked without replacement from iwiiww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 13764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 11)*4\/(-4). Suppose -3*i + y = 1. Suppose -4*z - 4*p + 2 = -2, -z + 2*p = -i. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*x + 1095 - 276 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:26 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 100. Let c = 80 - t. Find the second derivative of -25*b**4 - 46*b + c*b - 7*b**4 wrt b.\nAnswer: -384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 19660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(5 + 6*n - 5) - 2*n**2 + 2*n**2 - 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 - 8993321.\nAnswer: -8993278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/32)*i**(-1\/7))\/(i**(-7)*i**2))**(-2) assuming i is positive.\nAnswer: i**(-1319\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6602 by 8.\nAnswer: -3301\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142468547.\nAnswer: 13, 193, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = -5*y, 5*d = d - y + 17. What is the biggest value in d, -1, 2\/9, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + 3*l - 3*l + (-2*l - l + 6*l)*(-2*l**2 + 3*l**2 - 2*l**2) - l**3 - 3*l**2 + 0*l**2 + 2*l**3.\nAnswer: l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = 60 - 592. Solve 3*s = -0*x - 4*x - 23, -3*x - o = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684283 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32854*u**3 + 32797*u**3 + 32806*u**3 - 98466*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 472320 and 738.\nAnswer: 472320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:59 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + (7 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 3. Suppose -17*i = -70*i - 106. Let v(s) = 2*s - 1. What is i*h(f) - 7*v(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssiciisicisiinnnc. Give prob of sequence ns.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 13*t**2 - 2*t - 1. Let m be z(13). Let o = -12 - m. Solve 4*g + o = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose 0 = -y*i + 4*i + 4*c + 4, i = 3*c - 7. Suppose 2*w + 2*w = -8. Put i, 0, w in decreasing order.\nAnswer: 0, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*n**2 + 38*d**3*n*z + d**3*z - 25*d**3 + 12*d**2*n**2 - 2*d**2*n - 2*d*n**2 + 3*n**2*z wrt d?\nAnswer: 18*n**2 + 228*n*z + 6*z - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089245197 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7636 + 950 + 14162 - 5423)*(1 + 1 - 4)*(0*y**2 + 2*y**2 - 4*y**2).\nAnswer: 69300*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1\/6, 12, 8.\nAnswer: -5, 1\/6, 3, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 31*g**3 + 57*g**3 + 0*g + 2*g - 24*g**3 - 49 as n*g + i*g**3 + o + m*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1925*m**2 - 8*m + 51.\nAnswer: 3850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 14, -1\/3, 32\/9.\nAnswer: -1\/3, -0.2, 32\/9, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7138 + 3*r**3 + 7267 + 7354 - 29451 + 7137.\nAnswer: 3*r**3 - 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - h = h - 22, 5*g - 2*h - 14 = 0. Suppose 2*m = 4 - 0. Suppose -u + 6 = -b + m, g*u = -b + 16. Solve b*r - 3*r + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84\/3121 or -1?\nAnswer: 84\/3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*o + 22, -2205*n = -2209*n - 3*o + 21 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2632 = 5*v + 4*f, -2*v - 2*f - 1048 = 0. Let m = v - -945. Which is smaller: 418 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1816177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 0 - (-19 - -12). Solve -3*r + 3*x = 3, w*r - 3*x - 7 = 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(28) - sqrt(2800))**2 - (sqrt(84)\/sqrt(108))**2)*6.\nAnswer: 6*sqrt(7) + 40810\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - -21. Suppose -3*q + k - 24 = -87, m = 4*q - 4*k. Calculate the remainder when 82 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272859322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 11. Let y(i) = 10*i + 12. Let t(n) = -6*l(n) + 5*y(n). Let c be t(-2). Suppose -417 = -b + c*v, 1249 = 3*b - 3*v - 2*v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*v = 2732, -2*v - 3*v = -4*l + 2156. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 241. Suppose 454 = 9*p - j. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + 25 + -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 36632 = -12*h - 4*r, 5*h = r - 91624. What is h rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:33 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:08 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**42*f**(-4\/39)\/f assuming f is positive.\nAnswer: f**(1595\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -923*t**5 - t**2 - 148*t wrt t?\nAnswer: -55380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 58*o + 802. Let f(d) = 159*d + 2404. What is -4*f(u) + 11*i(u)?\nAnswer: 2*u - 794","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r + 20. Calculate the greatest common divisor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n**2*u*w**5 - n**2*u*w**2 - 4*n**2*w**3 + n**2*w**2 + 3*n*u - 8*w wrt w.\nAnswer: 960*n**2*u*w**2 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3\/3 + 9275*m**2\/2 - 6965*m\/3 - 13915\/2 = 0?\nAnswer: -2783, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959.269 nanometers to meters.\nAnswer: 0.000000959269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x - 4*n - 27, x - 5*n = 18. Let m(c) = -2*c - c**2 - 4*c + x*c. Let f(r) = 2*r**2 + 7*r. What is -2*f(j) - 5*m(j)?\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, p: 2, w: 3, h: 1, t: 6}. What is prob of sequence yy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7*2859851\nAnswer: -20018957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 2166?\nAnswer: -2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791507.\nAnswer: 3, 597169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 1718.5\nAnswer: 10311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10)\/u)\/u)\/(u\/(u\/((u*u*(u\/((u**(-7)\/u*u*u)\/u))\/u)\/u)*u)*u)*(u\/((u*u**(-1))\/u)*u)\/(u*u**(-2\/5)*u) assuming u is positive.\nAnswer: u**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 - 3*c**2 - 4*c - 4355 + 4360 to the form n + f*c**2 + s*c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 20*p = -11. Suppose 77 + p = -4*u. Is (-268)\/u + 24\/(-132) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869071?\nAnswer: 1869071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8826 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 5*y - 5 = 0, 0 = 4*y. Let m = 2 - 2. What is the second biggest value in m, p, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -176, -273, -374, -479, -588, -701?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1140717.0356 - -1140928. Let r = 211 - f. Round r to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230.99908 + -231. What is g rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5063 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7587 + d**3 - 7587.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 4)*(0 + 4 + 3*j - 4*j) to the form t + f*j and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7279)\/(-174) + 2\/12 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 34, 2625838.\nAnswer: 3, 4, 34, 2625838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.084, -900, -2 in ascending order.\nAnswer: -900, -4, -2, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 55*x**2 + 93342 - 23*x**2 + 2*x - 93338 + (x + 4*x - 2*x)*(x**2 + 0*x**2 - 4*x**2).\nAnswer: -10*x**3 - 78*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from vbbvb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 38. Let c be (6720\/768)\/(5\/(-8)). Determine b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 - 27 = 5*b. Suppose -3*d + b = -5*w, 5*d - w - 80 = 2*w. Which is smaller: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*q - 80, 5*a + 3*q - 155 = 360. Suppose 5*x + 60 = 2*l, 5*l - a = -5*x + 15. Solve 0 = 2*d + 5*j + 9 + 6, -5*j - l = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3187.209505 to the nearest ten.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 206563 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/15017 (b) 3 (c) -4 (d) 0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*a - 20, 3*a - 10 - 19 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/118*59)\/(1*(-9)\/336)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Suppose 0 = -6*z + 2*z + 16. Let d(g) be the first derivative of 5 - z - 2*g**2 + g**2. Determine d(v(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -25. Let m be 17 - (4 - 2 - p). Suppose 12*b = 15*b - m. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 136686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2515 + 799 = -12*d. Suppose d*m - 2421 = 134*m. Do 269 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 + 540*o + 80. Determine h(-77).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56907786.1 rounded to the nearest ten thousand?\nAnswer: -56910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*a**2 + 0*a - a - 15*a**2 to the form j*a + o + c*a**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736889973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:45 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -284.561. Let o = 0.019 + h. Let j = o + 0.02. What is the second smallest value in -2, j, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45654 bigger than 45652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 7. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -9. Let r(m) be the first derivative of -m**2 - 1\/3*m**6 + m**4 + 0*m + o + 0*m**3 + 0*m**5. Find s such that r(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -506*o**3 + 7*o + 803*o**3 + o - 3*o**2 - 9*o to i*o**3 + l + u*o**2 + v*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.22 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1632 + -219. What are the prime factors of u?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, j: 2, o: 1, b: 6}. What is prob of sequence bbjb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*0*(-2)\/8. Solve 4 = 4*c - n*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -303356, -303358, -303360?\n\"Answer: -2*w - 303354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 13 - 63 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 171*y - 255. Determine r(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20350980 - 23*l + 20350930 + 25*l - 40701910.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -43*t**2 + 3*t. Let o(b) = -151*b + 1. What is o(p(h))?\nAnswer: 6493*h**2 - 453*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1062383, -1062376, -1062369, -1062362?\n\"Answer: 7*n - 1062390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19287, 1952, -15383, -32718?\n\"Answer: -17335*h + 36622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24244 and 493.\nAnswer: 412148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/408)\/(15\/90).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8236, -16564, -24894, -33226, -41560?\n\"Answer: -c**2 - 8325*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -174227*n**2. Let x(c) = 39*c. What is y(x(w))?\nAnswer: -264999267*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3 - 3) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12677, -25335, -37979, -50615, -63249, -75887, -88535, -101199?\nAnswer: -113885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -85690.\nAnswer: 94259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 6*f + 2*a, -5*a = 3*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63*(6\/(-3) + 3) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:06 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 44 = -16. Calculate the common denominator of 8\/k - (-289)\/(-42) and -13\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86463683 and 5372.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = 115*i - 4*u + 74, i + 4*i + 4*u - 477 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let a be c(1). Differentiate a - 8 - 2 - 38*z**4 + 2 wrt z.\nAnswer: -152*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4178050 is divided by 579?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 (base 7) in base 9?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from ydymqdymdyyydddqdu?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 660248 bigger than 660247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -78, -196, -362, -576, -838, -1148?\n\"Answer: -24*t**2 + 2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:13 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126689\/(-5873) - ((-2)\/2)\/((-56)\/24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/14)\/t*t*t\/(t*t**(-1\/9)))\/(t*(t*t**(-7))\/t)**(-1\/22) assuming t is positive.\nAnswer: t**(865\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57079 + -35258. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-369)\/36 - (-6)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g*g**9*(g\/g**(-3\/2))\/(g*(g*(g*g**(-2\/5))\/g)\/g))**(-20\/3))**(1\/9) assuming g is positive.\nAnswer: g**(-178\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-156) + 1 - (-414)\/(-552).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 3393?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 74556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32371.7 tonnes?\nAnswer: 32371700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3344, 3339, 3334?\n\"Answer: -5*n + 3349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:14 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*z**3 - 43*z**3 - 1102 + 1102.\nAnswer: 636*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.46 - 0.06. Let v = 97.793 + -98. Let y = v - -0.007. Which is the second smallest value? (a) -0.3 (b) j (c) 3\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - -12113065?\nAnswer: 12112644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 - -275.2. Which is the closest to -1? (a) 4 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and 149433.6132.\nAnswer: 149433.5032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*r = 5, -2*l + 16 = -5*r - 9. Solve -3*f - 4 = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -61. Let d be (c\/(-10))\/((-6)\/5 - -3). What is the third smallest value in 4, 1, d, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc65 (base 13) to base 9\nAnswer: -43048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/((-6)\/(-20)). Let m(c) = c**3 - 6*c**2 - 8*c - 1. Let y be ((-252)\/(-72))\/(2*(-1)\/(-4)). Let l be m(y). Sort l, 3, j.\nAnswer: l, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let j(a) = a + 1. Let k be j(v). What are the prime factors of 19 + (-3 - k\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Let g(v) = -1. Let f(q) = g(q) - i(q). Let t(z) = 6*z**2 - 12*z + 11. Let j be t(1). What is the common denominator of -43 and f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(63))\/(sqrt(672)\/sqrt(7)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 221410960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f + 2*f. Let u be 4\/(6\/3) - 0. Suppose -5*d - u*i + i = -35, 5*d - 25 = -3*i. Calculate the smallest common multiple of f and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 118992336\nAnswer: -1\/59496168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10297 + 21519. List the prime factors of i.\nAnswer: 2, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 659, 1027, 1377, 1703, 1999?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1062875015*i**2 + 365316435 with respect to i.\nAnswer: -2125750030*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/24 - 5*i**3\/3 - 7*i**2\/2 + 4. Let n(y) be the second derivative of k(y). Let c be n(13). Solve -c*d = d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 + 2*u**2 - 4*u - 2. What is i(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - 84 + i**3 - i + i**4 + 49 - 2*i**3 + 47 in the form n + k*i**2 + c*i**4 + a*i + v*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 3*n**6\/20 + 10*n**3\/3 - 26*n**2. What is the derivative of l(t) wrt t?\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 11457*k**5\/5 - 10896*k - 694. Find the first derivative of m(j) wrt j.\nAnswer: 45828*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*o - 10, -2*x - o + 1 = 3. Suppose -5*j - 3*d + 110 = 38, j - 4*d - 19 = x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/7 - 4\/14. Let a(b) = -4 - 3*b - b**2 - b + 1 + 5. Let u be a(o). Let q(h) = -2*h**2 + 2*h - 3. Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 112 + 82 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395 - 361.39. Let h = i - 0.61. Let x = -36 + h. What is the closest to -0.01 in x, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (85\/51)\/((8\/12)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(20)\/sqrt(4))*1 - (sqrt(5) + (sqrt(245)*2 - sqrt(245))**2 + sqrt(5)) - (-3*(sqrt(720) - sqrt(45)) - sqrt(45))\/sqrt(9).\nAnswer: -245 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a + 44. Let b be h(21). Let l = b - -1449. What are the prime factors of l?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000954 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-2)\/(-4))\/((-15)\/12))\/(264\/165). Which is the fifth biggest value? (a) 0.06 (b) 19 (c) 1 (d) o (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)*o**(-5))\/((o\/o**(-2\/15)*o*o)\/((o\/(o*(o**(5\/7)*o)\/o))\/o)) assuming o is positive.\nAnswer: o**(-8587\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -528*f - 518. Let s be u(-1). Solve 2*h = -s*j + 13*j + 1, -6 = 2*h + 4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 45, -3\/7, 0.19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13*a - 127. Let y be q(13). What is the third derivative of 14*u**3 + y*u**3 - 159*u**2 + 98*u**2 wrt u?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1881 by -11.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.469625 and -0.8?\nAnswer: 1.1757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 3182064*v - 632845706256.\nAnswer: -4*(v + 397758)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 5)*(-93*u**4 + 11517*u**3 - 11517*u**3) to l*u + k*u**4 + t*u**2 + s*u**3 + w and give k.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = t, 3*h = -4*t + 4*h - 29. Let q = -4 - t. What is the third derivative of -q*v**2 + 4*v**2 + 3*v**5 + 0*v**3 + 0*v**3 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24574 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let u = 2 + -0.9. Let c = u + -0.1. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 198325378 * -3.\nAnswer: -594976134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 69702?\nAnswer: -209106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 406324*x**2 - 65*x. Let i(g) = 2*g. Determine i(a(y)).\nAnswer: 812648*y**2 - 130*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3 - (-1)\/(-1). Let a = f + 18. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -6*sqrt(84)*-1 + sqrt(84))*5*-2)\/(((sqrt(360)*-2 - sqrt(360))\/sqrt(10) + sqrt(36))\/((sqrt(12) + sqrt(3))*-3)).\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 288.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, z: 3}. What is prob of sequence hhzh?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53681.5 rounded to the nearest one hundred?\nAnswer: 53700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*b**5 - 81456*b**4 + 190748*b**3 - 56792*b**2 + 4544*b = 0.\nAnswer: -568, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269921 take away 3?\nAnswer: 2269918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1386304552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*o + 15*o + 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10465 (base 8) in base 14?\nAnswer: -1869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 5, -65, 1.9, -42.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 32*t**2 - 831*t - 27. Give b(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = a. Let y(b) be the third derivative of b**4\/24 - b**3\/6 - b**2. Calculate the lowest common multiple of a and y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*j + 328*j + 307*j = -156*j - 75194 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 81. Let p be -1 + -1 + (-180)\/j. What is the closest to -1 in p, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-4\/27))**9\/(u\/((u*u**(-6))\/u)*u\/u**(-2\/9)*u*(u*u**4\/u)\/((u*u*u\/(u*u\/(u*u\/(u\/(u\/u**(-1\/3)))*u)))\/u*u*u)) assuming u is positive.\nAnswer: u**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.16. Let v = -0.7 - l. Let u = -0.6 - v. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 - 5*r + 366. Let q(d) = d**3 + 6*d**2 - 6*d + 368. Determine -5*q(o) + 6*t(o).\nAnswer: o**3 + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 - -3 - (-5 - 4) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.770678 tonnes?\nAnswer: 770678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -97 + -18 + 19\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -3*o + 8*o, 0 = -g - 5*o + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 27807*h. Let n(g) = -7*g**2. Give n(a(x)).\nAnswer: -5412604743*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*l + 4*l + 2 - 5*l)*(23 + 1 + 12) to the form h*l + r and give h.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. List the prime factors of (0 - -16*y) + -1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 47718394438133.\nAnswer: -47718394438132.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143917, 235, -2 in decreasing order.\nAnswer: 235, -2, -143917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -1 in descending order.\nAnswer: 5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let w = 0 + m. Suppose w*z + z = 6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.66 in -4, 8\/3, 0.2, -1\/4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104061, -208127, -312193, -416259?\nAnswer: -520325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*l - 18, -3*g + l = 14 - 40. Let t(d) = 2*d. Let k be t(g). Let u = k + 22. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 8. Let w be d(-11). Let i be 9\/(w*4\/8). Suppose 4*m = 3*a - 2*a - i, 4*m + 14 = 5*a. Calculate the lowest common multiple of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/(-96)*29\/6 and -179\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 42 = 11*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*g - 6 + 2, 4*i - 2*g = 2. Suppose -z - z + i = 0. Solve -3*n = -d - z, -n - 4*n = -5*d + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -41. Suppose 4*i = 235 - t. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5434 plus 2.81?\nAnswer: 0.2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 1. Let i(m) = 24*m - 3. Calculate i(f) + 2*s(f).\nAnswer: 20*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/15 - 3*l**3\/2 + 13*l. Find the second derivative of m(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 6) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -89. Let y(h) = -3*h**2 - 7*h - 4. Let l(q) = 4*q**2 - 5*q**2 - 3*q + 526 - 528. Determine n*y(s) + 5*l(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75429560639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29697238 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 + -551.2. Put -2, -3\/4, y, -0.4 in descending order.\nAnswer: -0.4, -3\/4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1019 != -9206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*z - 124. What is the remainder when z is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/246666 and 2\/41111.\nAnswer: 246666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100858.\nAnswer: 2, 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5021*z - 964016. What is t(192)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.262345 and -0.083 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.247*-174935.\nAnswer: -218143.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 + -424. Let n = 1285 + l. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20c - 89?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -97*q**2. Let g(r) = -23*r**2. Give s(g(i)).\nAnswer: -51313*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {g: 3, w: 4, s: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300624.\nAnswer: 2, 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let m(u) = u + 64. Let o(v) = 4*j(v) + m(v). Is 17 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 25 = -6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 4*p - 1. Let x be m(5). Let b be x\/((-7)\/5 + 1). Suppose 4*n = 2*w - 0*w + 30, 4*w = 2*n - 30. Solve 0*q + b = n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 85485414*f**2. Let d(g) = -13*g. Calculate d(o(k)).\nAnswer: -1111310382*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)\/(sqrt(12) + sqrt(120)\/(sqrt(10) + 2*sqrt(10)) - sqrt(12))*-3)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15741909, -15741937, -15742011, -15742155, -15742393, -15742749, -15743247?\nAnswer: -15743911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 792 in descending order.\nAnswer: 792, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -1*(0 + sqrt(832)))**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -93. Let g = -870 - -873. Suppose 0 = 13*q - g*q - 780. Calculate the greatest common divisor of w and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 14 = -3*a. Calculate the remainder when 215\/5*((2 - -5) + -6) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7144 + -5549. Calculate the lowest common multiple of t and 319.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36965*v + 25225*v - 4*v**2 + 3 - 47344*v - 3.\nAnswer: -4*v**2 - 59084*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 2. Suppose 1549*z - 1506*z - 172 = 0. Let u(d) be the first derivative of 3*d**2\/2 - d - 1. What is z*w(h) + 5*u(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Suppose -1 = 2*w - 7. Find z such that -1\/3 + 4\/3*z**k - 11\/3*z**w - 1\/3*z + 3*z**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 166. Let i(p) = -p + 2. Give -5*i(v) - m(v).\nAnswer: v + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v + 2. Factor -10 - 19*o - v - 4*o**2 + 3*o.\nAnswer: -4*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 201036212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77231.81 tonnes to milligrams.\nAnswer: 77231810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:50 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -3. Let y be (0\/(-7))\/(-1 - q). Suppose y = -z + 2. Solve z*s - 3 + 13 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1) - 26\/3)*3. Let i(u) = -8*u + 210. Does 34 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227127 is divided by 2642?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 72. Let h(k) = 3552*k - 28128. Let q be h(8). Calculate the greatest common divisor of v and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497125247?\nAnswer: 3, 17, 131, 331, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3891840 to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1541, -8, -1, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from {s: 7, m: 6, x: 6}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 18. Determine q(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 3. Suppose -2*a = 23 - 1. Let y = 14 + a. Let j(l) = l. Give y*j(c) - g(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -252, -54, 144?\n\"Answer: 198*j - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2 + (2 + 4 - 5)*(0 - 2 + 4))*(-2 + 0 + 0)*(3 + h - 3) + h + 689 + 664 - 726 to t*h + x and give x.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-174)\/(-8))\/(-29) + (-2)\/8. Let j = 0 - -3. Let x(g) = -7*g**2 + 2*g**2 - 2*g + g + 4*g**2 + 4*g**j. Give x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8 = 4*y, 4*a = 16*y - 19*y + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*z = -310708 - 102757, -3*w = 5*z - 248067. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**7\/1575 + q**6\/900 + q**5\/150 - q**4\/36 + 2*q**3\/45 + 21*q**2. Factor x(y).\nAnswer: -2*(y - 1)**3*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*t**2 - t + 587.\nAnswer: -374*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 591*x**3 - 3*x**2 - 104*x + 221. Determine l(2).\nAnswer: 4729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-200) + (-415)\/40\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 3*f + 6. What is the remainder when 40 is divided by c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001355093 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 0)\/(-16) + (-1450)\/(-8). Let c = m + -177. Solve c*h = -4*k + 12, 3*k = -0*k + 3*h + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17405*m**3 - 2568698340*m**2 - 174149100*m - 2951680.\nAnswer: 5*(m - 147584)*(59*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4956732 divided by 6.\nAnswer: 826122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(2*sqrt(300))\/sqrt(10))\/(3*sqrt(726)*2))**2.\nAnswer: 50*sqrt(5)\/33 + 27350\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215569 at most 215568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -7 + (98 - 6). Suppose -4*d + 4*w = -c, 2*d - 21 = d + 2*w. Solve 5*n + 46 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000346157552 to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 - 2*o + 11. Let g be s(8). Let u(l) = -5*l - 3. Let z be u(g). Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 + 66055*x\/4 - 275125\/2.\nAnswer: -(x - 22010)*(3*x - 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*a - 8*a. Calculate the remainder when (a - -1)\/(2\/28) is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44 + (1 - 0))*(-52)\/(-13). Let t be ((-8)\/(-10))\/(s\/60 + 3). Solve -2*q - t = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + 5 + (-4)\/(-20). Let i(l) = 1 - l + l + 12*l - v. Does 16 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 538395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3)\/t)**17*(t\/(t*t**(-1\/2)))\/t**(-3\/2))**(-40) assuming t is positive.\nAnswer: t**(-1600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(325)*2 - sqrt(325) - sqrt(325))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 15*o**3 - 5*o**2\/2 + 2*o + 15. List the prime factors of k(2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 22. Let a be d(10). Suppose -128 = -a*r + 8*r. Solve 0 = -2*m - 3*y + 2 + 2, 3*m = 5*y - r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 1656464*x\/7 - 53004800\/7.\nAnswer: -2*(x - 828200)*(x - 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 36 (b) -0.3 (c) 20\/23 (d) 4 (e) -29\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**2 + 3515*y + 3510 = 0.\nAnswer: -702, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 - 9*k + 4. Let d be f(-9). Suppose 10 = 5*t + 2*i, 0 = -5*t - d*i + 8*i - 20. Solve -u = -t - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*u + 188*u + 6 = -2*d, -2*u = -5*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1421043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/(-162)*-3*(-25)\/10)\/1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 153 = 132. What is the units digit of 3\/l - (-21)\/((-1617)\/(-123926))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -901, 1\/3, 0, -0.118?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274015797*j**3*m**3 - j**3*m + j**2*m**2 + 22*j**2*m - 5*j**2 + 179*j*m**2 - 201*m wrt m.\nAnswer: -1644094782*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.92999586 - 0.93. What is o rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 3073?\nAnswer: -3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 32\/(-24)*(-9)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3) + -1)*6*1.\nAnswer: -6 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 7. Let g(k) = 2*k - 6. Let r(v) = 4*v - 5*v + 2*v. Let n be r(-6). Let z(u) = n*g(u) + 5*j(u). Differentiate z(i) with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-370)\/80*-28*(-20)\/(-7). Suppose 5*a - 62 = -3*u, -2*a + 30 = -a + 5*u. Calculate the greatest common divisor of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9450 - 9162. Calculate the lowest common multiple of h and -15*((-52)\/(-20) - 3).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*m = -33, 2*q + 6*m - 2*m + 62 = 0. Let o = 61 + q. Suppose 3*z - o = z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 732 + 0*c + 11*c - 7*c + 819.\nAnswer: -4*c + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 7*b**2 - 7*b - 5. Let u be n(-4). Solve 5*v + 24 - u = 4*a, 2*v - 4 = -2*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35206 (base 7) to base 3\nAnswer: 110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(2744)*2)\/(((sqrt(336)*1)\/sqrt(7))\/sqrt(6)).\nAnswer: 4 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -1. Sort -0.5, b, 1\/7 in ascending order.\nAnswer: b, -0.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-8)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-25))\/(-1))\/((-144)\/540)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11970500 rounded to the nearest ten thousand?\nAnswer: 11970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3717, -5, 63, 6, -4, 4 in decreasing order.\nAnswer: 63, 6, 4, -4, -5, -3717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(d\/(d\/(d\/d**(2\/9))*d)))\/(d\/d**(-2\/7)*d*d\/(d\/(d\/(d\/(d**(1\/3)\/d))*d)))*(d*d**(4\/7))\/d**(-2)*(d\/d**(-1))**(2\/71) assuming d is positive.\nAnswer: d**(-12386\/4473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8946.779 litres?\nAnswer: 8946779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-306)\/63 + 5 - 61401\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/3 - 2*k**3 - 40*k**2 - 200*k\/3 = 0.\nAnswer: -5, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24 - (-5589)\/230) + (-27)\/(-10). Which is the fifth biggest value? (a) -5 (b) s (c) -1 (d) -136 (e) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 25 = 14*x - 5*l, 5*l - 19 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/2)\/5*(-517)\/((-10857)\/252)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1098, -1097, -1094, -1089, -1082, -1073?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 g when four letters picked without replacement from {x: 2, g: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(5*j**2 - 4*j**5 - 5*j**2) + (5*j**2 - 3*j**2 + 0*j**2)*(-j**3 + 0*j**3 + 2*j**3).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 84, 238, 538, 1032, 1768, 2794, 4158?\nAnswer: 5908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12045 (base 6) in base 2?\nAnswer: -11011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184999339 a multiple of 3414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7167744892 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 5*l + 3*l**3 + 10 - 8 - 5 to d*l + c*l**3 + b + m*l**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649944683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, i: 1, x: 2, e: 3, w: 1, g: 3}. Give prob of sequence wkgk.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698379 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 6*c + 2*c + (4*c - 5*c - c)*(2 + 2 - 2) + 62*c - 752 + 752 + (-2*c + 2*c + c)*(1 - 2 + 0) - c - 3*c + 3*c in the form x*c + r and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.3 - 21.4. Round t to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 0*i**2 + 0*i**2)*(-21*i + 126*i - 4 + 5).\nAnswer: -315*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21\/4 (b) 6 (c) 2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3986*o - 2. Let r be f(-4). Let h = 287141\/18 + r. Find the common denominator of h and 71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*p + 6176, -2*p - 8*b + 3076 = -11*b. Calculate the remainder when p is divided by 183.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 129189438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2076586, 4153165, 6229744?\nAnswer: 8306323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 846776430 to the power of 1\/2, to the nearest integer?\nAnswer: 29099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545 a factor of 324173517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 9\/6)\/(-1). Sort 1, 0.4, t.\nAnswer: 0.4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/3 - 3*p**2\/2 - 11*p. Let y be z(3). Suppose -15 = -5*m, 420 = y*r + m - 0*m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 4) to base 5\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1845\/240)\/(210\/1120).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 872 and 15042.\nAnswer: 60168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(117)*-1 + sqrt(117))*4)**2 - sqrt(117)*-2*-4) + -1*2*(sqrt(468) - (2 + -2 + sqrt(468) + sqrt(468))**2).\nAnswer: -36*sqrt(13) + 3743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854, -855, -858, -863, -870, -879?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:07 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 893*m**7\/42 - 2*m**6\/15 + m**4\/4 + m**3 + m**2\/2 + 575*m - 2. Find the third derivative of x(f) wrt f.\nAnswer: 53580*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 9736*b - 3618063.\nAnswer: -(b + 387)*(b + 9349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000638160322 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 - 24*s + 680. Let x(f) = -18*f + 1. Let i(q) = -d(q) + 2*x(q). Differentiate i(t) with respect to t.\nAnswer: 14*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let d be p(8). Let v be (d - -1) + (-4)\/2. Find the third derivative of 0*m**6 - m**v + 0*m**6 + 2*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17856 - 3003. Calculate the remainder when k is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381945.\nAnswer: 3, 5, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5623 + 5565 = -0*t - 34*t - 4*x, -2*x - 22 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 30 = 36*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 40733694683\nAnswer: -40733694674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 10*s + 95500000. Round s to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = 2*l + 17. Let c = -122 - l. Suppose 98 = -2*f - 23189*v + 23181*v, 0 = 4*f + 2*v - 14. What is the greatest common factor of c and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 6*r + 2*r.\nAnswer: -4*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 926*z**2 - 4630*z - 86. Determine n(5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3645477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*m + 37097 = -2*q, 18545 = q - 2*m. Let h = q + -10247. What is h rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 12*j + 11. Let w be a(-4). Let q = w + 7. Factor 2\/5*m**q - 2*m + 8\/5.\nAnswer: 2*(m - 4)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 51. Let a = l - 60. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1940 - -5365. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1852 - 0.5\nAnswer: 1851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1674611 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57788549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2624 and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 28*z + 26*z, -4*z + 22 = 2*i. Suppose -167 = -5*f + 58. Find the common denominator of 38\/3 and (i\/(-2))\/(f\/205).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngiinbngbnnngbgng. Give prob of picking 2 n.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16937075*m**2. Let p(i) = 2*i**2. Determine p(w(l)).\nAnswer: 573729019111250*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268012014 divided by -2.\nAnswer: -134006007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8594?\nAnswer: 2, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98) + sqrt(8)*2)**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 2}. Give prob of sequence bhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-72)*40\/(-6)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) - sqrt(7)*-1))**2 - (sqrt(63)*1)\/sqrt(9) - (-4 + (-1*sqrt(7)*-3 - sqrt(14)\/(sqrt(2) + sqrt(18) + sqrt(2)))).\nAnswer: -79*sqrt(7)\/5 + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-b + b - b)*(4 - 2 + 0) + b - 4*b + b)*(-17422 + 20473 + 12735) in the form a*b + d and give a.\nAnswer: -63144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 19. Let p(u) = -17*u**2 - u - 2. Let z be p(d). Are z and -19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29.23 and -9638?\nAnswer: -281718.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/24 + 4*x**2 - 68. Let h(w) = -977*w**2. What is k(h(s))?\nAnswer: 977*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/28*((-32)\/42)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001714 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1118.35.\nAnswer: -5591.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2815.\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737474?\nAnswer: 2, 13, 43, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 - -225. What is the greatest common factor of h and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1126942*h. Let b(u) = -u. Determine s(b(k)).\nAnswer: -1126942*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(684)*-1 + 5) - (5 + 1*sqrt(684) - -2*sqrt(684)*6)) + 4)**2.\nAnswer: -2688*sqrt(19) + 175300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -155*v**4 + 321145*v**3 + 322695*v**2 - 2890305*v - 2891700 = 0.\nAnswer: -3, -1, 3, 64260\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49858482 divided by -87.\nAnswer: 573086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 122211000 (base 3) in base 7?\nAnswer: 52602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:17 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162118.\nAnswer: 2, 11, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3831 and 41211344?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s**(-13)))\/s*s)\/s)\/s)\/((s**(-16)\/s)\/s*s)*s*s*s**(-38)*s**(3\/2) assuming s is positive.\nAnswer: s**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 151.2488?\nAnswer: -151.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/23, 3, -0.2, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259 + -263 + (-204)\/(-112)*2.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75 in 3.5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8977822*s + 10767759 wrt s?\nAnswer: -8977822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 1. Let k be i(2). What is the third derivative of -10*g + 10*g + 3*g**5 - g**k + g**2 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.41 * -1.072875\nAnswer: 1.51275375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:46 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 + -198. Let z be ((-66)\/(-10) - 1)*280\/16. Calculate the highest common divisor of p and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*a - 16, a = j - 9 + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27910*k**3*s + 118277*k**3 - k*s**2 wrt s.\nAnswer: 27910*k**3 - 2*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.1. Which is the nearest to y? (a) -1\/5 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-220)\/(-50) - (1 - -3). Let y = f - 8\/45. Suppose -4\/9*r**2 + 0 + y*r = 0. Calculate r.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + 158\/14. Let w = j - 4. Let z = -9 + 22. Calculate the remainder when z is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 0*c - 3 + 6 + c**2 + c**4 to the form j*c**3 + i + r*c**4 + l*c + o*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t + 7*t)*(-12*t + 0*t + 5*t) + 4*t**2 - 6*t**2 + t**2 + (-5*t + 2*t + t)*(t - 2*t + 0*t) - t**2 + 2*t**2 + 0*t**2.\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0315 and -44.\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/135 + 4\/5. Is b <= -1\/1011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*sqrt(143))*-4*2)\/(-2*sqrt(44)\/sqrt(4) + sqrt(1584) + sqrt(1584)*-2 + sqrt(1584)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 12:41 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - -202. Calculate the highest common divisor of g and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 634*r - 38463. Calculate c(59).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*q**2*r - 2*q**2 - 33*q - r**3 with respect to r.\nAnswer: 120*q**2 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*g - 23 - 19 = 0, 2*r - 76 = -4*g. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 - 215*k**3 - 240*k**2 + 860*k + 880 = 0. What is k?\nAnswer: -2, -1, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 10*u**2 + 5*u**2 + 2*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = q + 43 - 118, w - 4*q = -10 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6) - (-4)\/(11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 2. Let z(f) = 3*f + 3. Let r(p) = 5*g(p) - 6*z(p). Let x = -6 - -7. Calculate the smallest common multiple of x and r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1*3\/15). Factor -i**l + 3 - 3 + i**3 + 0.\nAnswer: -i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-7 + 13 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(sqrt(256) + (sqrt(256) + (sqrt(256) - sqrt(256)*-1) + sqrt(256))*-4))\/((sqrt(8) - sqrt(16)\/sqrt(2))*-4 + 2*sqrt(800)) + -1).\nAnswer: -18*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r - 3*a - 17, 2*a + 30 = 3*r. Let o(s) be the first derivative of s**3\/3 - s**2 - 11*s - 1. What is the tens digit of o(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164303610 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.944 - -0.056. Let a = -30 + q. Put -1, 5, a in descending order.\nAnswer: 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18291938 and 5?\nAnswer: 91459690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11539351 + -11539350.40000045. Let d = -0.6 + j. What is d rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 17*o - 84. Calculate the least common multiple of 15 and d(-23).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 + 5*d. What is h(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.5201 and 0.1518?\nAnswer: -0.68615118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11531 - 276625\/24. Suppose -9*s + 12*s - 6 = 0. Calculate the common denominator of (-3)\/(-6) - (-73)\/30*s and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*o + 20 = 0, -3*x = 5*o - 6 - 22. Solve 2*p - 2*s = 6*p - 10, 2*p + x = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2845019.4 + 2844623.40173. Let p = o + 396. Round p to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - 162. Suppose -y + 3*j = -311, -6*j + 4*j + 1846 = 6*y. Let r = y + o. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 - 3515180*x - 1544561304050 = 0?\nAnswer: -878795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400864 + 461456997?\nAnswer: 462857861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + 51. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*h**4 - 5945*h - 17835109.\nAnswer: -1240*h**3 - 5945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:59 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28208 is divided by 297?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 17*s**2 + 18*s + 4. Let c be n(-18). Solve -c*p - 3*w = 1, -3*p + 5*w = -8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -257*l**2 + 5*l - 5. Let c(y) = -105627*y**2 + 2056*y - 2056. Calculate -5*c(u) + 2056*h(u).\nAnswer: -257*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + 70 - 26)*3\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/5*p**3 - 8\/5 + 18\/5*p**2 + 2*p + 14\/5*p**4.\nAnswer: 2*(p - 1)**3*(7*p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 263155 - -85?\nAnswer: 263251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -470 - -436. Let l be ((-4)\/5)\/(s\/(-85)). Which is the second smallest value? (a) -28 (b) l (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1447 - -18829\/13. Let o = 176 + -180. Let q be -1*(4 + o)\/(-1). Are q and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -125. Let s(v) = v**3 + 2*v**2 - 5 + n*v + 4 - 35*v - 6*v**2. Suppose 7*o - 2*o + 3*z = 21, 0 = -3*o - z + 11. Calculate s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1508.8 + -932.55. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014 divided by -6.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 626?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4 + 2 = 0. Which is the closest to 1\/2? (a) r (b) 5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(336)\/(sqrt(112)\/sqrt(4)) + -2*(1 + sqrt(2352))))**2.\nAnswer: 7560*sqrt(3) + 218896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-52))\/((-50)\/650)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxoie. Give prob of picking 1 e, 1 o, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -1. Let t(s) = -7*s**2 + 5*s + 2. Let h(d) be the third derivative of 1\/24*d**4 + 0*d**3 + 0*d + 0 + 11*d**2 - 1\/60*d**5. Determine f*h(x) - t(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -106*h - 187. Calculate c(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = d - 3, -b = 5*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 5 = 11*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4, 55 = -2*b - 3*v + 150. Let f = b + -505\/11. Sort -2\/3, f, 0.4.\nAnswer: -2\/3, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2345 + 3318. Suppose 2*u = 2*s + 646, 4*s + x = 3*u - 0*u. List the prime factors of u.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Let g(c) = -c**2 + 11*c + 12. Let f be g(12). Solve 2*b + f*b - 8 = n, -2*b + 6 = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 3?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 30 = 3*y - 82, 0 = -4*y - 5*d + 149. Let c = 185 - 185. Suppose 5*x - 15 = c, 2*j + 3*x = 15 + y. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. Let n = -4 - d. Let o be (-8999 - n)\/(-1) + 1. What is o rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h - 6*h**2 + 31 + 6*h**2 - 33 - 3*h**3 to the form a*h + c*h**3 + f + v*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67882 - 203650 + 67886 + 67889 - 1872*h to i*h + u and give i.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i + 54 - 10*i - i**2 + 8*i. Let y be k(7). Let w = 76 - y. Solve j + w = 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/30*4\/2. Let d = 22.2 + -21.2. What is the closest to 0.1 in 1\/2, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f - 9. What is the tens digit of (f - (-28)\/8)*26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.6, 4, 1\/3 in ascending order.\nAnswer: -4.6, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 7*c + 10*c. Let a be u(2). What is the smallest value in a, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5737620 divided by -719?\nAnswer: 7980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 118 - 6*t + 62 - 260 + 80.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5. Suppose 2*c - 132 = -c + 4*s, 2*s + 90 = 2*c. What is the greatest common factor of c and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -106. Let q be v\/(-4)*(84\/15 + 4). Calculate the greatest common divisor of q and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497*b**3 - 500*b**2 - 7571*b**3 + 499*b**2 - 2379*b wrt b.\nAnswer: -42444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108)*-2*-2 + sqrt(108) - sqrt(108))\/((sqrt(36)*-1)\/sqrt(6) - sqrt(6) - sqrt(6) - sqrt(6)).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 176.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - 2*k = 0. Solve k = 7*l - 3 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13670, -27340, -41010?\nAnswer: -54680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2091 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**5 - 145623*u**3 + 5*u**2 + u + 122550 wrt u.\nAnswer: 540*u**2 - 873738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5\/9 + 100*u**4\/9 - 2648*u**3\/9 + 3152*u**2\/3 + 3360*u = 0?\nAnswer: -42, -2, 0, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965184?\nAnswer: 2, 107, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l. Suppose 466*f - 749 = 183. Solve 3*y - 3*k = -3, l = 3*y - f*k + 7*k - 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8650.373 days to seconds.\nAnswer: 747392227.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1700) + -5 - ((sqrt(1700) + 1)*3)**2) + (-4*sqrt(1700)*1 + -3*(sqrt(1700) + -1))*1.\nAnswer: -15311 - 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15) + 81\/((-26325)\/(-18980))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 5)*(13*m + 4*m + 6*m)*(-1 + 6 + 1)*(m**3 - 4*m**4 - m**3).\nAnswer: -4416*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 0 + 0 + 2*b**5 - 2*b**5 + 5*b**5 + (b - b - b**3)*(-b + b**2 + b) + 4*b**5 - 5*b**5 - b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 + -309. Let r(t) be the second derivative of 0 + 6*t + 5\/12*t**d + 1\/5*t**5 + 0*t**2 + 0*t**3. What is the third derivative of r(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -2*p + 2*y, 6 = 2*p - y. Let l(h) = 0*h + h**p - 8 + h - 4*h. Is 13 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 497 - 494. Which is the nearest to -0.1? (a) 0.5 (b) l (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381 = 13*f + 472 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/6 - 97597*s**2\/3 + 390391*s\/6 - 97598\/3 = 0.\nAnswer: -195196, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1184530 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*f**3\/3 + 272*f**2\/3 + 268*f\/3 + 40\/3.\nAnswer: 4*(f + 1)*(f + 5)*(11*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.5121 take away 0.8?\nAnswer: -54.3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -396018381*u**3 + 453686203 with respect to u.\nAnswer: -1188055143*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-52)\/(-22) - 2\/11 and 4\/(124\/28 + -3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385080.\nAnswer: 2, 5, 61, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(33)\/(sqrt(33)\/sqrt(75)))**2.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173856 and 144?\nAnswer: 521568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07811 and -0.2.\nAnswer: -0.015622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9444 and 225942978?\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06931201 to 3 dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*-4.3\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2123 and 461077.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-7))\/((-6)\/(-84)). Let z(b) be the third derivative of 1\/330*b**5 - 3*b**2 + 0 + 0*b**m - 1\/33*b**3 + 0*b. Determine k so that z(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:48 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0*r**2 - 7*r**2 + 1 + 3 + 6*r - r**3. Suppose 0 = -2*a + c + 40, -c = 11 - 7. What is the lowest common multiple of a and f(-8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let t be (-35)\/(-70)*(1 + 5 + -2) + 7. Solve t*i = -8 - c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86688 - 45077661\/520. Let f = -1\/104 - k. Which is the fourth smallest value? (a) 1\/5 (b) f (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 48*t - 80. Let i be x(-10). Factor 2\/3*f**3 + i - 8\/3*f + 0*f**2.\nAnswer: 2*f*(f - 2)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2497 - -3?\nAnswer: -2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/7, -2, -0.4, 107, 161?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 3*t**2 - 7*t - 3. Calculate p(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 91722.55 milliseconds?\nAnswer: 91722550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + 8 + (5 - (-3 - -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/12 + 2*f**3 + 13*f**2\/2 - 1352*f\/3 + 13376. Solve z(d) = 0 for d.\nAnswer: -8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97, 172, 349, 634, 1033, 1552, 2197?\n\"Answer: n**3 + 45*n**2 - 67*n + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 0*i**4 + 0*i**5 - 13\/6*i**6 - 79 - 22*i + 2\/3*i**3 + 1\/2*i**2. Find the second derivative of n(s) wrt s.\nAnswer: -260*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63067026 and 5733366?\nAnswer: 63067026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11978 - 8921.88022. Let o = 8928.331 + d. Let b = o - 0.031. What is b rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201060 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 11}. What is prob of picking 2 v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -189, -198, -211, -228, -249?\n\"Answer: -2*z**2 - 3*z - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19092, 38170, 57242, 76308, 95368, 114422?\nAnswer: 133470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139162789 + 48966789. Round q to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/13 + 3122*w**4\/13 + 657626*w**3\/13 - 3122*w**2\/13 - 657624*w\/13 = 0.\nAnswer: -188, -1, 0, 1, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2836 = -2*i - 2*f - 2824, f - 33 = -4*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1122, 1922, 2060, 1206, -970?\n\"Answer: -55*s**3 - s**2 + 1188*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q + 2*t - 128 - 2, t - 23 = 4*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/6, 2\/9, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 8 (c) -424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1420 and 101428470?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -17839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11498*z**2 - 1. Let i(h) = -4*h. Calculate i(t(g)).\nAnswer: -45992*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/2*50\/(-625).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.61428 and -5?\nAnswer: 3.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9212428, 9212431, 9212436, 9212443, 9212452, 9212463, 9212476?\nAnswer: 9212491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**3 + n**2 - n - 1. Let j be a(-1). Let i(r) = 9*r - 40. Let x be i(5). Suppose 2*c = -2*b, -4*c - 25 = -x*b - 7. Solve -8 - b = -j*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994013007.\nAnswer: 3, 13, 503, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**4\/12 + 13*t**2. Let o(w) = -27*w**2 - 11*w**2 + 18*w**2. Calculate a(o(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**3 - 104*h**2 + 220*h - 112 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 1. Let n(v) = -2*v + 2. Let j(k) = n(k) - z(k). Let t(o) = -4*o - 5. Give 6*j(y) + t(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -23, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n + 22*n + 13*n + (20 - 18 - 10)*(0*n - 4*n + 3*n))*(-2*n**3 - n**3 + 5*n**3) to y*n + q*n**4 + x*n**2 + s*n**3 + h and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - 2. Which is the closest to 3\/4? (a) 1\/4 (b) f (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 10*s + 9. Let i be m(4). Let k = 29 - i. Calculate the lowest common multiple of 15 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16397 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -10. Suppose -5*i - 36*q + 140 = -31*q, -i + 40 = -3*q. Let t = s + i. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 - 10101011011011?\nAnswer: -10101101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.8918 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**3 - 1 - 22*s**3 + 4.\nAnswer: s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let c(z) = -z**2 - 6*z - 6. Let l be c(-4). Factor l*d + 3*d**2 + 2 + s*d - d**2.\nAnswer: 2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - 70) + 7 + -24.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 31 - 159 = 0. Let c(f) = 11*f + 5. Let k(a) = -12*a - 6. What is h*k(t) - 5*c(t)?\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as -0.149773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 125 + 220 - 127.\nAnswer: -6*a**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9120 - 9605.9. Let s = m - -467. Round s to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432, -435, -448, -477, -528?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*r + 5*r. Let l = 6 - 6. Suppose l*x + r*x = 16. Solve -x*c + 0 = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251724?\nAnswer: 2, 3, 11, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-6)\/(sqrt(88)\/(sqrt(33)\/sqrt(3))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.5609 decades in months?\nAnswer: 71947.308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, 2, 104, 5 in decreasing order.\nAnswer: 104, 5, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-2*o + 0*o + o)*(-1 + 0 - 2).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*o + 0 - 436*o**2 + 873*o**2 - 438*o**2 + 5 to the form t*o**2 + l*o + b and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -22*y + 17*y. Suppose -4*f + 17 = -f + r, -15 = -f + y*r. Let s(k) = 7*k**3 - 14*k**2 - 11*k - 1. Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128 and 3666?\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 7. Let n = 36 + -21. Let h = -18 + n. What is t(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 - 212532*x\/13 - 212534\/13 = 0. What is x?\nAnswer: -1, 106267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from {h: 3, u: 5, z: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.38 + -7.38. Let w = 1823\/16 - 114. Sort w, y, 5 in descending order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 + 5. Let k(y) = -4*y**2 + 2. Let p be 21\/(-6) - (-2)\/8*-6. Calculate p*k(h) + 2*w(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:09 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 2*h**2 - 2*h**4 + 2*h - 36 + 22 - 20 + h**3 to t*h + z*h**2 + k*h**4 + b + q*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n - 55*n + 24*n - 10*n**2 + 12*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 (base 16) in base 5?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 354. Calculate the remainder when f is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-105\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7949231 divided by -103.\nAnswer: 77177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 8. Let w(n) be the first derivative of -n**2\/2 + n + 8. Let k(d) = -j(d) - 6*w(d). Let f(h) = -6*h - 2. Let o(c) = 6*f(c) + 5*k(c). Give o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*i*u**2 + 6*i*u - 893819726*i - 70*u**2 + 148*u wrt u?\nAnswer: 28*i*u + 6*i - 140*u + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111911515 - 19791515. Round q to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -21) + -16 - (3 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 - 1076*h**2 - 16*h + 17216 = 0.\nAnswer: -4, 4, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*z = 17868 - 32352 + 42882 + 44041 for z.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 5*a**2 - a - 11. List the prime factors of z(-6).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 471 + -526 + 8922\/162?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 33118?\nAnswer: 33118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 - 5 = -3*k, 2*n - 34 = -4*k. Let i be 0 + (-92)\/(-12) - k. What is the third biggest value in -3.2, i, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -9 (b) 3 (c) 3\/8 (d) -3\/2 (e) 270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067379827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 2\/109, 20\/9, 0.66, 0.3 in decreasing order.\nAnswer: 20\/9, 0.66, 0.3, 2\/109, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -t - 5*g + 8, g - 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let v(a) = -110*a**3 + 3 - 3*a**2 + 0*a + 4*a**2 - 2*a + 54*a**3 + 72*a**3. What is the tens digit of v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 <= 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1541 = -9*j + j + 1819. Let l(d) = d**3 + 64. Let b be l(0). Suppose -59*i - j = -b*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from {v: 1, u: 2, e: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -530550 + 150?\nAnswer: -530400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7160000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxqqqxqxqqq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 644 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b587 (base 14) to base 9\nAnswer: -46818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 - 376*n + 1416*n + 885*n - 59. Is t(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/22*(-1292)\/102 and 37\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*u - 72*u + 52*u + (0*u + 0*u + 2*u)*(-3 + 0 + 2))*(-u**3 + 5*u**3 - 2*u**3) to the form d*u**4 + r*u + m*u**3 + x*u**2 + s and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201978129?\nAnswer: 3, 47, 1432469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:46 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1883392476 divided by 3\nAnswer: 627797492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and -3.8?\nAnswer: -326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-25) - 1\/(-55). Let t = 0.264 + 0.036. Let v = -289\/190 - -2\/95. What is the closest to i in v, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {u: 4, b: 12, c: 1, x: 2}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 133 and 8.\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 2 + 23 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/185838461?\nAnswer: -5\/185838461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 6:41 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -4*n + 5*a, 53596*n - 2*a - 12 = 53594*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 7*m - 4. Suppose -3*q + q + 14 = 0. Let y be x(q). Let a = y + 6. Solve a*n + 0*n - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 25991126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) 3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*w - 15 = 0. Let r = -3 - w. Let d be (128\/r)\/(2\/3). Solve 10 = 5*o + z - d, -8 = -o - 3*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*j**2*s**2*u - 12*j**2*s + 20*j**2*u - 2*j*s**2*u wrt s.\nAnswer: -212*j**2*u - 4*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283844967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7428 divided by -4\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -68*v - 2. Let s be z(-1). Suppose -221 = -5*t - s. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 219053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -9 + 4 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875 = 5*b + 2*b. Let y be 6\/8 - b\/20. Put -5, y, -2, 5 in decreasing order.\nAnswer: y, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1 + 11 = 0. Suppose 4*z = m*b - 20, -2*z - 30 = -7*b + 3*b. Let n be (1 + -2)\/((-2)\/b). Solve 2*i + 2*i + 4*o = 8, 4*o + n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1906 - 1907. Is d at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/5 - 3) + (-26)\/(-8). Are a and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.033 or -22.4?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2021*c**3 + 453*c**3 - 2*c**2 + 2*c**2.\nAnswer: -1568*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**3 + y**2 - 1. Let h be (1 - 0)*(1 - 0). What is the units digit of o(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15183420*n**5 - 74015*n**2 wrt n.\nAnswer: -911005200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 233967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 748936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2382 + -5?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441338187 + 6*s + 441338187.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121b057 - 170?\nAnswer: 121aaa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*d**3 + 248*d**3 - 112*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = m + 205, -116*m = -o - 121*m - 65. Let f(d) = -2*d**2 - 8*d + 3. Let a be f(-7). Is a greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1. Suppose -4*v = -2*c - 34 + 4, c = -v. Let p = c + 10. Suppose 4*j - 5*j - 1 = 0. Let k(d) = d + 3. Give j*k(u) + p*x(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 798 - 761. Solve 13 = 8*y + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2 + 3 + 10*i**2 - 16*i**2 + 11*i - 10. List the prime factors of g(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67\/(-23) + 3 - (-10248)\/644. Solve -y*q - 3*l + 17 = -11*q, 19 = -q + 5*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -43*s**2\/5 + 264071*s\/5 - 49128\/5 = 0. What is s?\nAnswer: 8\/43, 6141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -11. Let t = g + 4. Solve -t*v + 7 = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2858, -2762, -2666, -2570, -2474?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069460103 to 7 dps.\nAnswer: 0.0006946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*i**5 + 27*i**5 - 2*i + i + (-6*i**3 + 10*i**3 + 2*i**3)*(i**2 + 2 - 2) + 0*i**5 + 0*i**5 - 2*i**5.\nAnswer: 7*i**5 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.05 + 8. Let x = 0.35 + h. Which is the third biggest value? (a) -3 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-382)\/40. Let f = 10 + m. Let l = 0.8 + -1.2. Put l, 2, f in descending order.\nAnswer: 2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-4*147\/420.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3355*0.05.\nAnswer: -167.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/535 and 47\/1177.\nAnswer: 5885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 142620929.\nAnswer: 5\/142620929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 7. Let b(v) = -v + 2. Let z = -207 + 205. What is z*t(q) + 9*b(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127433 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 195\/72 - (1 - 0\/2). Let w = r + -5\/24. What is the closest to -2\/5 in -0.5, 0.4, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 164, 233, 302?\n\"Answer: 69*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + (-234)\/(-63). Suppose 74 = m*r - 66. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23808, -47627, -71448, -95271, -119096, -142923, -166752?\nAnswer: -190583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 18. Which is greater: -17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1782 and -95\/2376.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*b + 115*b + 884 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21142.697 rounded to the nearest ten?\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6098 - 0.5098. What is the third biggest value in n, -0.1, 80, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*l + 3 = 5*j, -3*l + 12 = 0. Let m(h) = 4 - 6*h - 32 - 5 + 0*h. Let r be m(-6). Sort j, -2, r.\nAnswer: -2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m. Let s(v) = v. Calculate s(k(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 90. Let v be m(-23). What is the greatest common factor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let x(y) = -74698*y. What is x(r(z))?\nAnswer: -149396*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*8*(-12)\/(-96)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from vuhst.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4431037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1060, 2\/11, -4, 0.8, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.05, 94\/5, -5, -13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368 divided by 8.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*b + 11, d = -2*b + 7 + 2. Suppose 2*v - v - b = 0. Suppose 10 + 4 = v*a + 2*h, 4*h = 12. What is the greatest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/20 + n**4\/12 + n**3\/6 + 7*n**2\/2 + 4*n. Suppose 0 = -b + 2*b. What are the prime factors of x(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:41 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 314 + -314. Calculate the remainder when 70 is divided by (-1 - r)*(-32 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1752 + 569 = -5*g, 5*v - 713 = -3*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7351 bigger than -7351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 82. Solve 6 + t = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + ((sqrt(95) - sqrt(95)*-1*5) + sqrt(95) - sqrt(95)))*4)\/((sqrt(45) + (2*sqrt(225) + sqrt(225))\/sqrt(5))\/sqrt(9)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (-957)\/(-5) - 2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5374 is divided by 1274.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -20. Suppose r*h = 9*h - 9. Put -3, h, 5 in increasing order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-35))\/6 - 29\/35\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + 4*m - 8. Let o(b) = -10*b**2 + 8*b - 17. Let h(f) = -6*o(f) + 13*r(f). Let x(p) = -6*p**2 + 5*p - 2. Give 5*h(y) - 4*x(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {w: 4, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 912 and 6024176.\nAnswer: 343378032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 + 39*h - 8. Let t be z(-8). Let x(c) = -c**2 + 8*c - 9. Let m be x(6). Suppose -m*b + t*b = -63. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 9*v**2 + 4*v + 7. Calculate d(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 - 6 = 0. Let q(r) = -r - 1. Let i be q(-6). Suppose 0 = -3*y + 5*f + i, 2 = y + f - 3*f. Which is the nearest to y? (a) -5\/2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -110. Let v be (-2)\/12 + (-245)\/42. Calculate the remainder when y is divided by 0 + -1 - (v + 18)*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) -15 (d) 1 (e) -101.86 (f) -3 (g) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172088 divided by 1314?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x - 63*x + 6*x.\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116196 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -959 - -4058. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 0 + sqrt(1377) - sqrt(1377))**2 - ((-2*sqrt(102) - sqrt(102))*5)\/((sqrt(12) - sqrt(192))\/sqrt(2)).\nAnswer: -32 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-6)\/2 - -56047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 37 - 48 = 0. Suppose q + d = 2, -q + a = 2*d - 6*d. Solve w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 29. Give h(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*v + 84, -3*v + 3*n = -0*n - 48. Suppose -l + 2*t = -87, -333 = -4*l + t - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-926)\/360 + 4\/18. Is z greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31065854 - 31065854 - 2*l - 10556*l**2.\nAnswer: -10556*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*q = -34, 10*y - 2*q + 1573 = 1631 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 45 - 27 = 0. Let o be 126\/12*d\/(-9). Solve -4*t - 20 = 4*w, -4*w + 2*t - o = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9945213783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 17 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/11 - (-40)\/(-14))*-7. Suppose -n*q + 4 = -10*q. Find the common denominator of 187\/30 and (-6)\/(-2 + q) - (-86)\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34883, -4, 5 in increasing order.\nAnswer: -34883, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from {q: 1, g: 2, t: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*x - 9*x + 4*q, -12 = 4*x + 3*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -769\/14 + 767\/14. Which is the closest to 2\/9? (a) -1\/9 (b) 1\/4 (c) 9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, -4 in ascending order.\nAnswer: -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6902691 and 68\/34293.\nAnswer: 48318837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 f when three letters picked without replacement from {p: 1, g: 2, j: 1, m: 2, f: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q + 24812 + 18308 = 0. What is the highest common divisor of 56 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4 - 217968*f**3 + 5938756126*f**2 + 217968*f - 5938756128 = 0.\nAnswer: -1, 1, 54492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.65702 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5503\/27515 + 606\/(-5)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416 - -637. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188687659*o**3 + 22885684*o**2 wrt o.\nAnswer: 1132125954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*l**2 - 33*l - 43*l - 38*l + 120*l in the form r + t*l + b*l**2 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let z = -31 - -30.5. Let n = 0.3 + z. Is h != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225009915 by 195.\nAnswer: 1153897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 1. Let l be j(1). Solve 2*z - z - 1 = 0, 4*x = -2*z - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6871 is divided by 693.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 16. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose o + 51 = 3*c - 87, -h*o - 144 = -3*c. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -7*r**4\/2 - 48723*r**3\/2 + 320395*r**2\/2 - 606093*r\/2 + 125406 = 0?\nAnswer: -6967, 4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*z = 117*z - 36. Let b(k) = -k**2 + 48. What is the least common multiple of z and b(0)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42786167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75066 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - -32764*1\/4096. Are n and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7693141 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: Let z = -13.48 - 0.52. Let y = z - -40. Let f = y + -26.00208. Round f to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + (-1 - (-4 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*n - 294*n**3 + 400*n**2 - 400*n**2 + 359*n as s*n + c + p*n**3 + u*n**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/18))\/n**5*n**(-14)\/n**(-6) assuming n is positive.\nAnswer: n**(-199\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 + 2*w**2 + 2*w - 2. Let z be 2 - (-2 + (-3)\/3). Suppose 9*h - 4*h - 13 = 4*t, z*t = -5*h - 5. Does 24 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251 - 177. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*c - 93 = -145*c. Let z(x) = -x**2 + 29*x + 72. Suppose 4*j = -2*h + 6*h + 32, 4*j = 3*h + 31. What is the remainder when z(c) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -42782*q + 730. Let u be f(15). What is u rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*a**4 + 54*a**3 - 16*a**2 + 24703*a + 12?\nAnswer: 300*a**2 + 324*a - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457\/3 - (-22)\/(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*y**3 - 220*y + 950*y**2 - 4765 + 220*y - 10*y**3 - 3*y**3 with respect to y.\nAnswer: 6*y**2 + 1900*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 3*a**2 + a**3 + a**3 + a**2 in the form u*a + d*a**2 + n + v*a**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m + 2. Determine y(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414491333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49507\/342 or 146?\nAnswer: 49507\/342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1459, 3034, 4725, 6526, 8431, 10434?\nAnswer: 12529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let f(n) = -2199*n + 6866*n - 2055*n - 1997*n. Calculate f(y(b)).\nAnswer: 615*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1969*f**3 - 2250*f**3 + 3213*f**3.\nAnswer: -1006*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -15371950 in descending order.\nAnswer: 5, 0, -15371950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 7*f + 1. Let j be m(4). Put 4, -1, j in decreasing order.\nAnswer: j, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 4478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (2 + -6)) + 15. Suppose -4*m = 2*l - 40, 0 = -m - 3*l + 3 + d. Let k(a) = 3*a - 18. What is the units digit of k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - 3*a**3 - 2*a + 4*a - 2*a**5 + (0*a**2 + 0*a**2 + 2*a**3)*(0*a**2 + a**2 + a**2) + 67*a**3 + 25*a**5 - 67*a**3.\nAnswer: 27*a**5 - 3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let y(r) = -r - 8. Let q be y(-8). Let l = q - -1. What is the greatest common divisor of l and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*x = 502*x + 36 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:24 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 3*m**2 + 3*m**2 + 5 - 6 as n + b*m**2 + q*m + t*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -90.9 (b) 4 (c) 2\/5 (d) 70 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*g - g. Suppose 2*c - 19 = -10*h + 5*h, -c + g = 3*h. Calculate the greatest common divisor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 3, h: 2}. What is prob of picking 2 o and 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0654 - -0.1654. What is the closest to k in 0.1, 1, -0.002?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*35\/168)\/(2\/16). Suppose -l = 2*r - 3*r, -4*r - 9 = -l. Let t = r - -9. Solve m = t*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 0*z)*(11 + 15 - 23 + (3 - 2 - 2)*(-2 + 3 + 1)*(1 + 0 - 12)).\nAnswer: -50*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(5 + -4*((sqrt(432) + sqrt(432) + 2 + sqrt(432) + 0 - sqrt(432))*2 + -3)))**2.\nAnswer: -124416*sqrt(3) + 35832132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692 and 17536?\nAnswer: 3033728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**4\/24 - 4*m**3\/3 - 4*m**2. What is the units digit of g(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322322.\nAnswer: 2, 3, 73, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/5530 and -18\/11698715?\nAnswer: 23397430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let p(k) = k**2 + 4. Suppose 36 = v - 5*v. Let u = v - -6. Let h(a) = a**2 + 3. Let y(r) = u*p(r) + 4*h(r). What is j(y(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:36 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.494068 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + -24.95. Let x = -88971198 + 88971173.0000022. Let k = x - b. Round k to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 11. Let p be l(-8). What is the third derivative of 323*b**2 - 9*b**p - 310*b**2 + 3 - 3 wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 81*i - 50166 = -4*w, i = 3*w - 37634. Is 128 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 5, i: 2}. What is prob of sequence ri?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 29*r**2 + 2*r - 2. List the prime factors of i(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + 3 + 0) - (-7 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 8*j. Suppose -r + 0*s + 7 = s, j = -3*r + 4*s + 7. Let b(w) = 22*w - 5. List the prime factors of b(r).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 269 and 550820?\nAnswer: 148170580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o = -92*o + 24*o + 1722 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + 0 + 0. Let y = 78 + -79. What is the closest to -3 in c, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 103*w**2 - 1 + 3 - 2*w**3 - 4*w**3 - 106*w**2. Let c(n) = -13*n**3 - 6*n**2 + 5. Determine -4*c(y) + 9*f(y).\nAnswer: -2*y**3 - 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 13. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 2*z**2 - 2*z - 4. Let x be 4 + (2 - 2 - 2). Suppose 0 = -x*o + 6*o - 12. Is h(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Suppose -79 = h - 61. Let m be (1 - h\/(-3))*1. What is the closest to v in 1\/6, m, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 285 = -o. Calculate the remainder when o is divided by 2*((-533)\/(-130) - 24\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -394875?\nAnswer: -35538.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 5\/(-4)) + -38 + 35. Factor 3\/4*m**3 - 3\/4*m**2 - f*m**4 + 0 + 1\/4*m.\nAnswer: -m*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -2*u, 0 = -u - v - 2. Solve u*n = 5*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89293424?\nAnswer: 2, 11, 507349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 28*y + 99 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 4 + (-537 - -499).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 15 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:57 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*h + 2*h + 54*h - 7*h to the form d*h + j and give d.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -97, 1, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/73 + -53\/730. Sort 0.3, u, -1.\nAnswer: -1, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -957261, -956291, -954675, -952413, -949505, -945951, -941751?\n\"Answer: 323*x**2 + x - 957585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.08 + -36.08. What is the biggest value in 4\/3, -0.2, 0.2, s?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28698?\nAnswer: 2, 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19590 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 613*p + 9656. Give s(-16).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y**3 - 26*y**2 + 4. Let p(j) = -3. What is i(b) + p(b)?\nAnswer: -12*b**3 - 26*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15 - -10 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430830 and 122595070.\nAnswer: 1103355630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -24.999958. Round o to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260939677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 5*t)*(t - 4*t + t)*(11*t**3 - 21*t**3 - 15*t**3 + (-3 + t**2 + 3)*(-1 + 2*t + 1)) + (0*t**2 - 9*t**2 + 6*t**2)*(-2*t**3 + 0*t**3 - t**3).\nAnswer: -83*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 16*o**3 + 7*o**3 - 5.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 + 181*q**2 - 52*q - 489. Determine c(60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -154849.492 rounded to the nearest 10?\nAnswer: -154850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:17 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9340652?\nAnswer: 2, 641, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17837 - 135903 = -2737*x + 70787 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 222 = -126. Suppose 0*p + p - 2*k = x, -5*k = 10. Let u = p + -42. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 = 13. Let s(o) = 6*o - 5. Let g be s(a). Calculate the highest common divisor of g and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/194? (a) 0.2 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*t**2 - 10*t - 342?\nAnswer: 16*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1633, -3244, -4841, -6424, -7993, -9548, -11089?\n\"Answer: 7*i**2 - 1632*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*y**4 - 3 + 2 - 5*y**4 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 0*y + 74 = 54. Sort -3, y, 5, 6, -166 in decreasing order.\nAnswer: 6, 5, y, -3, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465109 divided by -465109\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t - 2*t. Let h be (0\/t)\/(6 + -8). Suppose h*b - 4 = -2*b. Solve -4*s - b*z - 10 = 0, 4*z + 4 = -8*s + 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124130319 - -4?\nAnswer: -124130315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2612483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2635 by 78.\nAnswer: -2635\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aemmmaammaa?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + 1. Let m = z - 20. Suppose 3*t = 3*f - f + 156, -m*t = -f - 153. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 - 7)) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.132.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 158 = -o. Suppose -80*a + 2 = -o*a. Sort -1, a, 3 in descending order.\nAnswer: 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*((2*(-6*sqrt(1088)*-4 + sqrt(1088)))**2 + (-3 + (sqrt(1088) + 1 - sqrt(1088))**2 + sqrt(1088) - -6*((1 + sqrt(1088))**2 + sqrt(1088)))).\nAnswer: -8179594 - 456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -950, -757, -246, 739, 2354, 4755, 8098, 12539?\n\"Answer: 26*h**3 + 3*h**2 + 2*h - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(440)\/sqrt(10) - sqrt(44))\/sqrt(11) - (sqrt(64) + 3*sqrt(64) - sqrt(64)))\/(-2*sqrt(242) + 3*sqrt(288)).\nAnswer: -11*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -0.5 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(156) - (sqrt(156) - (sqrt(156) + (sqrt(156) - sqrt(156)*1) - sqrt(156)))) + sqrt(156))\/(sqrt(48)*3).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 23*n**2 + 14*n - 54. List the prime factors of o(25).\nAnswer: 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkk when three letters picked without replacement from {p: 5, q: 1, k: 3, h: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 2*p + 75. Let l(i) = 3*i**2. Let y = 129 - 126. Let n(m) = y*l(m) - g(m). Differentiate n(u) wrt u.\nAnswer: 24*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1904\/11, 12?\nAnswer: 1904\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -4. Let m = b + 9. Let s(a) = -15 + 2*a - 3*a**2 + 2*a**2 + m*a - a. Calculate s(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -12. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -50 - -122 - 103?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 123451?\nAnswer: -123465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(324\/15)*8\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.961 + 0.039. Let g = 6 - s. Let t be 2\/(-3) + 1\/(-3). What is the second smallest value in g, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 195 - 1045. Let x = -60 + z. Is x greater than or equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-638) - ((-540)\/261 - -2)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/37 or 95?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 5:11 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((96\/120)\/((-16)\/(-235)))\/((-6)\/(-8)).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*d - 6 = 0, f + 13 = -2*f + 2*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(40\/15 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.079 + -0.221. What is the nearest to 1 in 2, p, -0.6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.7769 micrometers to nanometers.\nAnswer: 845776.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -647 - -1234. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(605) + -4)**2 + -1 - sqrt(605)) + (-6*(-5 + sqrt(605)))**2 + -4 + 0.\nAnswer: -4059*sqrt(5) + 23300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:08 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = 3*h + 3*w, -4*h - 3*w + 11 = 0. Let i = 95 - 49. Suppose 5*r = -16 + i. Solve -s + 6 = h*t - 1, 2*s - t + r = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -9, 4, 81 in ascending order.\nAnswer: -9, -7, 1, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.267 and 2.\nAnswer: 8.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381966 * -0.24.\nAnswer: -91671.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14457631 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188767580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 64, 4, 0, -3, -119.\nAnswer: -119, -3, 0, 2, 3, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 26. Let j(w) = k*w + 43750*w**3 - 2*w + 4 - 6*w. Let i be j(4). What is i rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9109\/19, -107, -4\/5, -2 in descending order.\nAnswer: -4\/5, -2, -107, -9109\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akkk when four letters picked without replacement from kkpokpakpkaa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let x(f) = -11180*f. What is p(x(r))?\nAnswer: -249984800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4\/5*s**4 - 48\/5*s**2 - 32\/5*s - 24\/5*s**3 = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167.37 - -0.37. Let d = 167.186 + k. What is d rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = c, -1 = 5*n + 5*c + 24. Let y = 2\/7 - 1\/28. Factor y*s**2 + n*s + 0.\nAnswer: s**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -76*r + 1 - 4. Let d(n) be the first derivative of r*n - 13\/3*n**3 + 24 + 0*n**2. Let m(l) = 3*l. Give m(d(q)).\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u\/((u*u**(-5))\/u)*u)\/u))**(-37) assuming u is positive.\nAnswer: u**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331\/114 + -43\/19. What is the common denominator of y and 103*(-4)\/(-56)*-1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121122212 + -1111011?\nAnswer: -200011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96573 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 286 = -5*n - 3*n - 40*s, -3*n + 2*s - 87 = 4*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -15423?\nAnswer: 30846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8729, 8728, 8727, 8726?\nAnswer: 8725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-261)\/(-232) - (-10)\/(-16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 + -277. Let l be 3\/(-5)*(2 - f). Suppose 3*b - 153 = -4*q, -b + l = q + 2*q. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*q - 21*q - 713. Suppose 3*d - 9 = -3*v, -d - v + 5*v + 3 = 0. What is the second derivative of 41*l**d - 27*l**3 - 8*l - q*l**3 wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97.6 - 163. Let o = m - -342. Let p = o + -90. What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(68)*1 - sqrt(68) - sqrt(68))\/sqrt(4))*-4 + ((sqrt(17) - sqrt(17)*1)*-2 - (-1 + (sqrt(17) + -4 + sqrt(17) - sqrt(17))**2)).\nAnswer: -32 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330983.\nAnswer: 330983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144, -975, -3188, -7473, -14520, -25019, -39660?\n\"Answer: -115*a**3 - a**2 - 23*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 1 - 30*u + 33*u - 5*u**4 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4452505 (base 6) to base 5\nAnswer: 24143300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 - 23*d**2 + 7*d - 7. Let m be b(-5). Solve 10 = -6*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 2*j**3 + 14*j - 13*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/16)\/(1\/(-2)). Suppose 0 = w - 3*w - 2*q + 28, v*w - 30 = q. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-59)\/(1652\/(-196)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.128 - 0.028. Let w = u + -2. Let j be ((-3)\/24)\/((-3)\/4). What is the nearest to 0.3 in j, w, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*f**2 + 1034*f**2 - 517*f**2 + 18*f.\nAnswer: -35*f**2 + 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 666 and 814.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 20 + -13 + -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {x: 1, a: 5, f: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {j: 1, r: 5, e: 1, t: 1, u: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16 + 0*k + 7*k - k - 2*k. Let d(f) = -f + 3. Let r(z) = 3*b(z) + 16*d(z). Let y(m) = -2*m**2. Give y(r(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 1 + 5*p + 25*p + 11*p.\nAnswer: 41*p + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 2289\/14 + (-3)\/(-6)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -192*u + 6. What is y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1950\/(-130)*20\/24*-2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let x be ((-6)\/3)\/(-4)*-6. Let l = x + b. Solve l*z + 24 = 3*z - 4*o, 5*z - 3*o = 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208201147 and 1617?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962543?\nAnswer: 962543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*x + 275 = 0, -w + 2*x + 67 - 21 = 0. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.25341 years to centuries.\nAnswer: 0.2125341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - 5*k**2)*(2*k**2 - k**2 - 6 + 4).\nAnswer: -2*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*16\/(-20)*50\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12005*c**3 + 11918*c**3 - 23922*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28*((-1)\/4 - 2251278\/(-24)). Suppose -4*z = -205394 - 420542. Let l = z + p. Round l to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.4103 take away 1619.2?\nAnswer: -1469.7897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 2*y**2 - y. Let j be a(1). Let g = j + 5. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 17) + -22 + (1 - 10) - 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13800 + (-1 + 0 - 34\/17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -538, 0.413, 1\/2.\nAnswer: -538, -0.14, 0.413, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22130.685 months to millennia.\nAnswer: 1.84422375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6781*o - 8262*o - 10019*o - 451*o)*(-5 + 4 + 2) in the form w + j*o and give j.\nAnswer: -25513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53176897 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -515956 times 5?\nAnswer: -2579780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13299*l*q*z**2 - l*q*z + l*q + 2*l*z - 4*q + 3*z wrt z?\nAnswer: -26598*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2668 + 9734?\nAnswer: 7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 62 = -5*j. Suppose -452 = -j*t + 3*t. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -1824206316616?\nAnswer: 1824206316619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 2*c + c + c - 1. Give u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104\/5*h + 4\/5*h**2 - 224\/5 = 0. Calculate h.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5 - 1 + 0 - 5 - 2*v. What is t(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-2 - -3)*-9. Let k = p + -5. Determine w so that 16\/5*w - 34\/5*w**3 - 8\/5 + 18\/5*w**5 - 6\/5*w**k + 14\/5*w**2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w + 75. Let a be 378\/w - 16\/(-136). Let u(g) = -5*g + 5. What are the prime factors of u(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j - 3*j = 87, -5*j - 31 = -q. Let u = 84 - q. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 20*k**2 + 68*k. Determine i(10).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 5. Let j be v(4). Let h = -3 + 3.02. Let f = 9449.9 - 9450. What is the biggest value in f, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 16, 7, -6, -23, -44?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1758, 3646, 5732, 8094, 10810, 13958, 17616, 21862?\nAnswer: 26774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -884 - -2680\/3. Which is bigger: m or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4165*g + 246 = -4083*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -19*r**2. Let d(j) = -31*j - 5. Let o = -757 - -744. Let t(p) = 78*p + 13. Let y(i) = o*d(i) - 5*t(i). Give z(y(k)).\nAnswer: -3211*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/80 + 3*o**4\/64 - o**3\/8 + 3*o**2 - 2*o. Let c(k) be the first derivative of h(k). Factor c(m).\nAnswer: 3*(m + 2)*(2*m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -23, -58, -127, -242, -415?\n\"Answer: -2*m**3 + m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198.54453 rounded to 1 dp?\nAnswer: 1198.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2432)\/(-160)*(-2)\/(-8)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196620 by -565.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3.2. Let v = 0.043 + -3.643. Let q = 1.4 - v. Which is the nearest to 0? (a) -2 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 17 = 7. Let p = -66 - -69. Suppose 3*g = 5*s + 4*g, g = -p*s + 2. Put s, 5, c in descending order.\nAnswer: c, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m = -47*m - 5*g - 26, -4*m = -2*g - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*k + 320938 - 321484. Suppose 0 = 2*j - 0*j - 1190. What is the remainder when j is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-9)\/(18\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((2*sqrt(275) + -5)*-6)**2 + 3 + (sqrt(275) - 4*(-2*sqrt(275))**2).\nAnswer: -3595*sqrt(11) + 36111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1191 + 5434 + 2639 + 3158 - 1060 + 2122)*(b + 6*b - 2*b).\nAnswer: 67420*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.02, -12.4, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -5, 2\/13, -7, 2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**4\/6 - 5*m**3\/3 - 5*m**2. What is the units digit of k(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 - 4 - 11*s + 12 + 10*s. Let i be k(8). Solve 4*a + i - 14 = -2*b, 0 = 2*a - 2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18933078*y**3 + 107728*y**2 - 12.\nAnswer: -113598468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4227590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 5863.\nAnswer: -5865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3564))\/((sqrt(400) - -3*sqrt(400)) + sqrt(400) + sqrt(400) + sqrt(400))*-3 + 1.\nAnswer: -27*sqrt(11)\/70 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 61 = -105 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h + 4. Let j be f(-4). Let y(x) = -x**2 - 11*x - 12. Let z be y(-8). Solve j*w - z = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/613 - 625\/3678. Which is the second smallest value? (a) 5 (b) -1 (c) w (d) -0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69693.79 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 13*b - 4. Let i be s(13). Let d be (2 + 7)*i\/(-8). Factor -1\/2 - d*m**2 - 3*m.\nAnswer: -(3*m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054519022.\nAnswer: 2, 3, 23, 3697, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**6 + 323*c**5 + 152*c**2 - c wrt c.\nAnswer: 600*c**3 + 19380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7244810 in -5, -0.5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -6.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itti when four letters picked without replacement from {i: 2, t: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 78. Let x(z) = -6*z + 5*z + q*z. Calculate x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = -2*w. Let s = -1 + w. Let l(c) = 5*c**2 + 6*c + 7. Let h be l(-2). Solve h = r - s*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 4*s + 3. Give d(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s + 42. Let y = s - -5. Let d be 44\/(y\/(-4) - 1). Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 2*n + 1. Suppose -2*p = b, 24*p - 22*p = b + 8. Suppose 2*j - 14 = -p*u, -7 = -4*j - 2*u + 11. Calculate m(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 9\/5*y**5 + 0*y**3 + 4*y + 0 - 2*y**2 + 0*y**4. What is the first derivative of x(f) wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let s = l + -4. Let b(t) = -t**3 - 5*t**2 - 4*t + 4. What is the units digit of b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5440)\/(-6400) - (-9 - 234\/(-24)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43633418*p**4 + 4029*p + 23084?\nAnswer: -523601016*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/5 + 17184*c + 369112320 = 0.\nAnswer: -42960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3441774 and 37\/18050?\nAnswer: 86044350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 27. Let k = -6 + f. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 48 = -7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-230)\/161)\/(10\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.6. Let p = -0.8 + s. Suppose 2*i + 3 - 1 = -5*v, 2*i - 2*v = 12. Put -3, p, i in ascending order.\nAnswer: -3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222939170.9 + 3.\nAnswer: -222939167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 142. Suppose -s*u = -2*l + 8, 16 = 7*l - 6*l - 4*u. Solve 7*b + 1 + 6 = l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 2. Let z be 9\/18 + (-9)\/(-2). What is x(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 638861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*g + 107*g - 4244 + 108 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 704436 divided by 4996\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/113 - -248\/1243. Find o, given that 0 - 12\/11*o**3 + 8\/11*o**4 + 8\/11*o**2 - c*o - 2\/11*o**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3500 divided by -675.\nAnswer: -140\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 35, 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(1 + (-18)\/10). Let l be 6\/(-4)*w\/(-3). Suppose 3*k = -3 - 3. Is l equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 29*r - 305. Does 2 divide j(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4618906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -27*j**3 - 5*j - 5. Let t(m) = -13*m**3 - 2*m - 2. Determine -4*l(n) + 10*t(n).\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.57 - -0.27. What is the smallest value in 4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17906277?\nAnswer: 3, 5968759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1957\/6 - -326. Which is the second biggest value? (a) 0.4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-1 - 6 - 5813).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/3)*m*m*m**(-19))**(8\/7))**(17\/5))**38 assuming m is positive.\nAnswer: m**(-237728\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46753 + -46774.0072. Let r = -36 - -15. Let k = r - n. What is k rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*t + 25, 1348*j - 1347*j = -4*t - 13. Factor -38\/15*y + 8\/15 + 22\/15*y**2 + 8\/15*y**j.\nAnswer: 2*(y - 1)*(y + 4)*(4*y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 19*r + 1028 - 5804. Calculate the remainder when 404 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 115, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 758*b**2 - 758*b**2 + 13*b**3 + 2*b + (3*b**3 - 5*b**3 + 3*b**3)*(0 + 3 - 4) - 2*b**3 + 0*b**3 + 4*b**3 - b - 3*b**3 + b.\nAnswer: 11*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17*y - 3. Let c be d(-7). Let a = c + -120. List the prime factors of 876\/18 - a\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let q(s) = 26*s - 28*s**2 + 7*s**2 - 26*s. Determine w(q(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, -1019, -1032, -1061, -1112, -1191?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39 (b) -11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34759 is divided by 5694?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/5 - 8\/(-20). Let u(i) = 7*i**2 + i. Let k(x) = 22*x**2 + 4*x. Let s(v) = 6*k(v) - 17*u(v). Let h(m) = -6*m**2 - 3*m. Determine j*s(a) + 9*h(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 4*a + 8. Let h = 397 + -393. Let d(u) = -u**2 - 5*u - 8. Let i(w) = h*g(w) + 5*d(w). Suppose 0 = -0*f + 3*f + 21. Give i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12) - -1) + 45\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 360 + 3*b**4 - 277 + 0*b - 5*b + 3*b**3 - 85 + 0*b**3 in the form r*b**4 + f*b**2 + z*b + u*b**3 + m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*q**3 - 454*q**3 - 477*q**3 + 4*q + 1401*q**3 - 4*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1087 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, s: 1, g: 10}. What is prob of sequence lsgg?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4096.572ml?\nAnswer: 4.096572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1705 + -1704.8. Sort j, 18, 2.\nAnswer: j, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o**2 - 6319 - 23*o**2 + 3177 - 21*o**2 + 3142.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 19*w**3 + 108 - 105 + 0*w**4 in the form p*w**4 + t*w + j*w**3 + b + r*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8155411 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 1) + 1 + -525 + 511?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - k + 1 = 3, 4*k = -d + 7. Let c(v) = -v**3 + 5*v**2 + 7*v - 2. Let z be c(6). Put 1, z, d, -5 in decreasing order.\nAnswer: z, d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 22*i**2 + 37*i + 29. Calculate v(-20).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by -9?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -37*c + 486. Let p be b(13). Suppose 0 = -4*m + 2*y + 26, y + 2 + 1 = 0. Solve m = -p*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 336?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151*k*m**4 + 12*k*m - 2*k + 509423*m**3 + 3487664*m wrt m.\nAnswer: -1812*k*m**2 + 3056538*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709, 1388, 2051, 2698?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*p**3 - 75815*j**2*p**2*v + 3*j**2*p**2 - j**2*p*v + 13*j**2*p - 4*j**2*v + 34*j*p**3 - 684672*p**3*v wrt p.\nAnswer: 12*j**2 + 204*j - 4108032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 165974 = 166786 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745148 is divided by 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3540)\/(-80))\/((-3)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -39, 206, 449, 690, 929?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 1, a: 1}. Give prob of picking 1 c and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4291.00002287 + 4291. What is y rounded to 7 decimal places?\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 1, g: 5, j: 6}. What is prob of sequence ghu?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29558 divided by -571.\nAnswer: -29558\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -138 + 202. Is o <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95\/517 - 1\/517. Solve 6\/11*c + b*c**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19419*h**3*i*v**3 + 21687*h**3*v**3 - 58*h**3 + 22*h**2*i*v**3 with respect to i.\nAnswer: 19419*h**3*v**3 + 22*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*n + 64, 5*n = l - 29 + 7. Suppose -51*x = -48*x + l. What is the tens digit of 371\/4 - 1\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = j - 3*c - c, -3*j = 2*c + 1834. Let n = 182 - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 210086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 1 - 1)*((2*z - 3 + 3)*(-4 - 1 + 3) + 2*z + 3*z - 4*z - z + 4*z - 2*z + 2 - 2 - 2*z + 3*z - z + 0*z - 7*z - 59*z - 38*z).\nAnswer: 212*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 2.8. Which is the biggest value? (a) f (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66240 divided by -48\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2266 by -1133.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 159315 - 159315.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1, -3.3, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3 = -f, 7 = 4*r - f + 4*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/143714 and -54\/2779?\nAnswer: 1005998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021176526 to seven dps.\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087846 to six dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 40 = 44. Solve 4*p - 4 = a*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7552600 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.17655 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 + 104*w**4 + 1296*w**3 + 4968*w**2 + 7668*w + 3888.\nAnswer: -4*(w - 36)*(w + 1)*(w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -97, 6, -3 in descending order.\nAnswer: 6, -2, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 285 + 4*w - 7*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*s = -42*s - 3516 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 - 5 + 7*u**2 - 2*u**3. Let t be 30\/(-20)*(-8)\/3. Let h be d(t). Calculate the greatest common factor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99036845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:47 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405919 is divided by 1031?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -3) + 39 - 5. Suppose 5*z + k + 147 = 4*k, -5*k - 5 = 0. Let l = z + y. Solve 5*r = -l - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 40*w**3 + 16\/3*w**4 + 55\/3*w + 51*w**2 + 2 = 0?\nAnswer: -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 + g - g**3 - 3*g)*(-2 - 4 - 4).\nAnswer: -50*g**3 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.07. Let f = b + -2.07. Put f, 2\/3, 5 in ascending order.\nAnswer: f, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70666*g - 70659*g + 42 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/60 + s**3\/3 - s**2\/2 + 3*s. Let n(x) be the first derivative of g(x). Find the first derivative of n(d) wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2.8, 584.\nAnswer: -0.2, 2.8, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 o when four letters picked without replacement from mioooieiisoioso.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1839 + -2654. Let s be x*23\/(-4) - (-3)\/4. Suppose 1915 = -12*n + s. Is 39 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2021965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/15))**(-7\/12) assuming n is positive.\nAnswer: n**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d**3 - 3*d**2 + 5.\nAnswer: 27*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -1 in decreasing order.\nAnswer: -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 46 + 42 = 0. Let c be (-2)\/(-21)*((-108)\/f)\/(-3). Sort 10, c, -0.1 in descending order.\nAnswer: 10, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 15 - 20 = -9*o + 10, r + 4*o - 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-2 - (-5 - -5)) + -12 + 14 + -60\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 - 7*k + 2. Let a be v(7). Let w(c) = c**2 + c - 2. Let u be w(a). Suppose u - 55 = -3*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 4*o**2 + 0*o**2)*(-6*o + 0*o + 0*o + 2 + (-3*o + o + 0*o)*(-18 - 7 - 5)) in the form y + x*o**2 + d*o + s*o**3 and give s.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416451979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 + 19*k + 7. Let y be m(5). Solve y*l = 3*r + 23, 2*l + 2*l = r + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h + 4. Let p be -13*(3 - 1)\/(-2). Let g(b) = -2*b - 2*b**3 - 2*b**3 - p + 9*b. Let l be (-29)\/(-4) - (-5)\/(-20). What is l*r(n) + 2*g(n)?\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62.3 times -0.248\nAnswer: 15.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a1 - 2085a2?\nAnswer: -208401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 2\/11, 14644?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2, p: 1}. Give prob of sequence pi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21775 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -561.\nAnswer: -561, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 0, m - 5*z - 5 = 2. Let p be m*2\/(4*-1). Put p, -3, 5 in ascending order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114824*m*t**2 + 2*t**2 - t + 13649 with respect to m.\nAnswer: 114824*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.4 (c) -0.08 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5559 - -5477) + (1 - 2) + 8 + -21.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**(-1\/19))**(1\/29))**(-2\/67) assuming h is positive.\nAnswer: h**(1\/73834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 163*d = 159*d - 2220 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.95 + -53. Let g = 8 - 9.6. Let x = p + g. Round x to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 198. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2897*h**3*v**3 + 3*h**3*v**2 + 2*h**2*v - 117 wrt v?\nAnswer: -17382*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7634*-0.4.\nAnswer: 3053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 80*p + 1064. Give w(63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in -3, 1\/3, 3.1, 0?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/11)\/(j**(-2\/11)*j*j)*(j*(j**3\/j)\/j)**48 assuming j is positive.\nAnswer: j**(1032\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 3*p + 6*p. Let g(i) = 4*i + 8. Let c(v) = 2*v + 5. Let z(n) = -8*c(n) + 5*g(n). Determine z(k(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 47. Which is the closest to -0.2? (a) o (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10) - (-1)\/2. Suppose 4*i - 4*q = 0, u*i - 3*i = 3*q + 4. Suppose 3*k = -0*k + 6. Sort k, -2, i in ascending order.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5076?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**4 - 30*u**3 + 59*u**2 - 42*u + 17. Let w(k) = 21*k**4 - 105*k**3 + 207*k**2 - 147*k + 60. Let m(d) = 18*h(d) - 5*w(d). Let m(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/30*5\/12. Let m be (-1)\/(-4) - 1\/4. What is the second smallest value in m, -0.4, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871431 is divided by 5038?\nAnswer: 4895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -1*sqrt(11).\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 478.7 + -521. What is d rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 95 = 39*b. Let t be -7 + b*(-249)\/(-33). Factor -t*i - 2\/11*i**5 + 9\/11*i**4 + 14\/11*i**2 - 16\/11*i**3 + 1\/11.\nAnswer: -(i - 1)**4*(2*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477438 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18293 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -353486, -708405, -1063326, -1418249, -1773174?\n\"Answer: -s**2 - 354916*s + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 145, 227, 309, 391, 473, 555?\n\"Answer: 82*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = i - 8. Suppose 0 + i = 3*s - 5*j, 2*j = -5*s - 38. Let y be (2\/s - 1144\/33) + 2. Do y and -33 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 + (-8)\/(-10)). Suppose 2*z = 3*b + 2, -5 = -h*b + 5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 7*c - 2. Let f be (4 - 5) + -1 + 2\/(-1). Let u(k) = 2*k**2 + 6*k - 2. What is f*u(r) + 3*i(r)?\nAnswer: r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 54 + 9*z**2 - 3*z**3 + 14 + 21 in the form a*z + i + w*z**2 + d*z**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29*(-62)\/16182*6\/20*1.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -800 - -799.978. What is the nearest to -1 in w, 18, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 8*q + 11. Let d be n(9). Suppose 0*r + d*r - 13 = 5*j, 3*r = 12. What are the prime factors of j\/(-3) - 195\/(-9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -601*p**3 + 3855*p - 24650905 wrt p?\nAnswer: -1803*p**2 + 3855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.739273 rounded to one dp?\nAnswer: -414.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5022*p**3 - 2.\nAnswer: -5022*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 532.\nAnswer: 13\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from fzzzfzz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:52 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-2))\/(-2 + 1). Let u = -3 + n. Suppose 5*i = -j + 20, -j + u*i = -i - 2. Calculate the greatest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 382332 and 846204?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:54 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/sqrt(7) - sqrt(63))*-2)\/(sqrt(729) - sqrt(729)*2) - ((sqrt(252) + -2*sqrt(28))**2 + -4 + -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2, -1, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-13 - (0 + -14)). Let g = 2125703\/3237 + -842\/249. Let c = g - 653. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1 + 6\/(-9)). Let f(k) = -k**2 - 10*k - 16. Let m be f(-7). Suppose w + 0*x - x = 1, m = g*w - 2*x. What is the remainder when 11 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31116.74 millennia to months.\nAnswer: 373400880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4275 and -61\/1800?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*y - 32. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 16*u**2 + 3. Let a be y(16). Find the second derivative of -2*b + 10*b**4 - 10*b**a + 10*b**3 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18017 + -73895?\nAnswer: -91912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748 and 158588512?\nAnswer: 1744473632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 4*o**2 + 4*o - 1. Let p be b(4). Let z = 85 + p. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) - -3*sqrt(756) - sqrt(756))\/sqrt(12)*-6)\/(sqrt(441) + -5*sqrt(441)*-1 + sqrt(441) + sqrt(441)).\nAnswer: -9*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400422 is divided by 800092.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4\/16)\/((-8)\/(-320)*-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 2. Let k(w) = 11*w**2 + 2*w + 7. Let g(y) = -21*y**2 - 5*y - 13. Let p(m) = 2*g(m) + 5*k(m). Give 9*l(b) + 2*p(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 104, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1264167880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1209, 8733, 28883, 67971, 132309?\n\"Answer: 1052*g**3 + g**2 + 157*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3540, 0.1, -1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.12488 + -0.12488. Suppose 4*v = 3*q - 52, 0*q - q = -3*v - 34. Sort 0.2, 0, v, t.\nAnswer: v, 0, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 3*b + 9. Let v = b - 4. Let x = v + 56. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 34*u + 217. Give a(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 60311 + 54497 = 149*c for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/116421 and 1\/3.\nAnswer: 116421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1286 - 1279. Solve j = -c, u = -3*c - 38*j + 42*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 - (-25 - (0 - 5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8486156 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.9 + -8.9. Which is the nearest to n? (a) -0.3 (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20745987 is divided by 3632.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/42 - o**6 + 83*o**5\/6 - 55*o**4 + 605*o**3\/6 + 213*o**2. Suppose w(i) = 0. What is i?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53442 = -4*a - 1584*s + 1581*s, 4*s - 53448 = -4*a. Does 53 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - (-1)\/(-3). Suppose -3*v + 6 = -g, 0 = -3*g + 3*v + 12 - 0. Solve -3*q + m = g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25414100 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = x - 6*x. Suppose 5*f - 4*f - 2*j - 10 = 0, -3*j = 3*f - 12. Calculate the remainder when (38\/3)\/(4\/f) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982*j - 2*j**3 + 1 - 4219*j + 1269*j.\nAnswer: -2*j**3 - 1968*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let o(t) = -34*t - 11. Let j(w) = -97*w - 31. Let l(f) = -6*j(f) + 17*o(f). Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o = -44*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*v**2 + 2*v**2 - 3*v**3 + 6*v**3.\nAnswer: 3*v**2*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327866+-3.6652\nAnswer: -327869.6652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -334 + -52?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (4 + -10 + 2)) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) + (-37)\/7*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g**2. Let f(h) be the third derivative of h**4\/24 - 2*h**2. Calculate f(n(k)).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*3\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 19.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713771 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**7 + 0*y**2 + 0*y**5 + 21*y + 0*y**3 - 37\/56*y**8 + 0*y**6 - 61\/12*y**4 + 1. Find the third derivative of m(j) wrt j.\nAnswer: -4440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/3103 and 11\/1819?\nAnswer: 52751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 3*a + 81, 6*o + 204630*a + 118 = 204626*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b - 5. Let s(t) = -t**2 - 3*t + 6. Give 5*a(r) + 4*s(r).\nAnswer: r**2 + 8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 15. Let d be n(15). Suppose 3*b - b = d. Suppose -3*l = 4*k - 442, b = -5*l - 5*k + 459 + 286. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 85 = 4*w. Let o = -66 - -69. Let r = o - w. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2037416 divided by -4\nAnswer: 509354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6336 and -27.\nAnswer: -171072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t - 4 + 19*t + 32*t - 70*t + 57*t**2. What are the prime factors of g(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -2*q, 44 = 3*d - 4*q. Let j = 13 - d. Suppose 2*g = -j*o - 3, -33 = -3*g + 3*o + 2*o. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**2 - 301*y + 224. Give s(-22).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 159 = 4*z - 7*z, 4*z = -4*n + 204. Let c = 62 - z. Let r(o) = 2*o**3 - 19*o**2 - 8*o + 7. What is the remainder when 77 is divided by r(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.1265783 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose -2*l + 6 = q. Suppose 56 = l*a + 3*p, a = 6*p - 2*p + 6. Let z(m) = 2*m**3. Let i(x) = -21*x**3. What is a*z(d) + 2*i(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 23*f**2 - 44*f + 37. Let w be l(21). Let k = w - -10. Put 3, k, 19, -1 in descending order.\nAnswer: 19, k, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Suppose 5*o + 13 + 877 = 4*j, -x*o + j - 890 = 0. What is the tens digit of (-2)\/3 + o\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a80 (base 11) to base 5.\nAnswer: -41004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1157 and 809042?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:12 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-20))\/((-3)\/(-15)). Let p(t) = -6*t - 4. Let d be p(z). Let a = 41 - -19. What is the greatest common factor of a and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42553319 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11964, 23947, 35960, 48021, 60148, 72359, 84672?\nAnswer: 97105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/11 + 120*x**4\/11 - 182*x**3 + 5468*x**2\/11 + 12096*x\/11 - 15680\/11 = 0.\nAnswer: -2, 1, 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4\/9 (b) -1\/15060 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*l - 165*l = -1967 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-9 - (1 + -1 - 3)) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-26)\/8)\/(-13))\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, q: 6, s: 1, k: 7}. What is prob of sequence kggs?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 25. Is (2\/(-6))\/(i\/(-1623)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 20552 = -5*u, 24 = 66*b - 70*b. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 3. Let t be h(1). Let x be (0 - t) + (-2 - -6). Suppose 0 = 4*i - x*i + 9. Solve 5*w = 5*f - 10, 3*w + 1 + i = -f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 3. Let r be m(-2). Suppose o = 3*x - 45, 3*x - r*o = 40 + 5. Let w = x - 13. Calculate the smallest common multiple of w and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1955787*q**3 + 7*q**2 - 1225*q + 126197.\nAnswer: -11734722*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -187, -95, 175, 719, 1633, 3013, 4955, 7555?\n\"Answer: 16*x**3 - 7*x**2 + x - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 312241*h**3 - 2*h**2 + 2*h - 3. Let t be s(1). Let n = t - -678762. Round n to the nearest 10000.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4393\/2251 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11719359, 11719355, 11719353, 11719353, 11719355, 11719359, 11719365?\n\"Answer: l**2 - 7*l + 11719365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.564 times 0.32?\nAnswer: 0.50048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 111. Suppose -218 = -2*n - 6*q + o*q, 0 = 3*q - 3. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95718 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -262?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -70*f + 124. Sort f, -2, 28 in increasing order.\nAnswer: -2, f, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43404 - -391208\/9. Is x != 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 43679 + -43674. Let r(i) = -i + 1. Let c(k) = 12*k - 11. Let m(w) = -c(w) - 6*r(w). Let s(z) = -2 + 1 + 7 - 7*z. What is q*m(f) - 4*s(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6278900 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156699*q + 78215*q + 78305*q.\nAnswer: -179*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1170)\/1248)\/(33\/220)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 2.7. Let c = 0.17 + 0.83. What is the nearest to c in f, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023196 is divided by 473.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o*s**2*x*y - 842*o*s**2*x - o*s*y**2 - 52*o*s - s**2*x*y**2 - 2*s*x*y + 36*x*y - 2*x wrt s.\nAnswer: 6*o*x*y - 1684*o*x - 2*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 8 + 1. Suppose -a - a + 2*z = -18, -a + 5 = r*z. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2121\/4, 2\/13, 0.5, -0.1 in increasing order.\nAnswer: -2121\/4, -0.1, 0.1, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 22*w - 33. Let r be o(5). Solve -4*u - r*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10422*u - 692*u + 195*u - 8073*u.\nAnswer: -18992*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 6729030*l + 4*l**2 - 6729030*l.\nAnswer: 4*l**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 - 16 = 4*w, -3*w - 3*k = 6. What is the units digit of 76 - (3 - (-1 - w))*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (2 - (-2)\/1). Suppose -b*r + 319 = 3*l, 0 = 4*r - 5*l + 4*l - 315. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.049 - 0.251. Put 1, 0.2, 1\/4, j in increasing order.\nAnswer: j, 0.2, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 - 10*b**2 + 3*b - 6. Calculate i(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 + 9*g + 9. Let c be o(-2). Let q(f) = f**3 - 7*f**2 + 2*f + 1. Give q(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 1 - (-1045 + 1069)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let v(f) = -4*f. Let j(r) = -2*k(r) + v(r). Let m(q) = 19*q + 1. Let u be m(1). Let h(z) = -14*z**2 - 12*z**2 + u*z**2. What is j(h(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2.82 in ascending order.\nAnswer: -1, 0, 2.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -3*(sqrt(110) - 2*sqrt(110)))*5)\/((sqrt(1210)*-2 - sqrt(10))*-6).\nAnswer: -5*sqrt(11)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*m + 75*m + 6. Let k(n) = m*n + 11*n - 6*n. Calculate k(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v - 36*v + 5 - 5.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000222 + -12?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (150\/(-105))\/(1\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 7*u**4\/12 + 8*u**3 - 49*u**2\/2 + 2*u - 62. Let c(d) = 36*d**2 + 240*d - 244. Let i(n) = 3*c(n) - 16*y(n). Factor i(o).\nAnswer: -4*(o - 1)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) 3\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 31. What is the remainder when b(14) is divided by 24*40\/24*6\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24635958 and 13042566.\nAnswer: 221723622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2228*m**5 + m**3 - 15*m**2 - 134083*m - 1 wrt m.\nAnswer: -44560*m**3 + 6*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six ninths of a week in minutes?\nAnswer: 51520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2\/3*j**3 + 16\/3 + 8\/3*j - 4\/3*j**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -5. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4\/9 (c) -1\/3 (d) -10\/3 (e) 0.2 (f) 3\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 1488850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483719*t**2 + 5 - 483686*t**2 - 5.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02004064096 rounded to 4 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882805 is divided by 682?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 214 = s, 43*j = 40*j + 2*s + 342. Calculate the remainder when 2194 is divided by j.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1507092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(-2\/3)))**9\/((d\/d**(-1\/2)*d)\/((d**3*d)\/d))*((d*d**(2\/13))\/(d\/(d*d**(1\/2))))\/(d**(5\/2)\/(d**(-3)*d)) assuming d is positive.\nAnswer: d**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-4 - -2)) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 109.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 6*t. Suppose 8*z = 15*z - 28. Suppose -5*q = -4*r + 5*r + 19, -z*r = -q - 29. Let g(i) = -4*i**2 - 7*i. What is r*v(n) + 5*g(n)?\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985108 plus 1.19?\nAnswer: 1985109.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:44 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2 - i - 2 + 1 + 2. What is r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(80) + (-2*(2*sqrt(80))**2 - sqrt(80)))*-5 + (-2 + sqrt(80))*-4 + 2).\nAnswer: -16075 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 11*w - 16. What is b(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 129 + 149 = 0. Let p(c) = 3*c**2 - 2. Let a(y) = 7*y**2 - 5. Determine o*p(v) - 2*a(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132511.\nAnswer: 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -876 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -31 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -48*v**3 - 27*v**2 - 54*v - 3174. Let y(p) = 13*p**2 + 5*p + 5. Give -5*r(i) - 54*y(i).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 524*x - 1789. Let g be q(15). What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*(-2)\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 822, 1647, 2472, 3297?\n\"Answer: 825*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/16)\/((-8)\/(-16)). Let t = -9\/20 - q. Sort t, -3, -4.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d - 2*g + 136, d - 2*g = 34. What is the remainder when 133 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -7*s - 82 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 + 106. Let x = 271 + g. Calculate the remainder when x is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/12)*z)\/z*z**(-6\/7)*z*z**(-4)\/(z\/(z**(-1\/2)*z)))\/(z**9*z**(-1))**(-4) assuming z is positive.\nAnswer: z**(2329\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 + 8 + (6 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 7*w - 5. Let j be d(4). Suppose 6*h - 2*h = 3*n - 3, 25 = 5*n. Suppose a = h*a - 56. What is the greatest common factor of a and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00267 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z + 111. Let i be a(11). Put -5, -1, i in descending order.\nAnswer: -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(36)\/sqrt(6) + sqrt(6))*-1)\/(sqrt(192) + (sqrt(192) - (sqrt(192) - sqrt(192)*3 - sqrt(192)))) + 4.\nAnswer: -1 - sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-11)\/((-66)\/48)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 67 - 12 = 0. Let a = -9 - c. Let p be 0 - (-4)\/(3 + -1). Solve 0 = -4*x - 12, 0 = p*b + a*b - 3*x - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*o - 21*o = -203*o + 90*o + 56145 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 412056 or 332?\nAnswer: 412056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Which is the closest to p? (a) 4 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z + 8. List the prime factors of 28\/(-3)*(z + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 411\/12 + (8 - 203\/28). Solve -8*g - 5 - q = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35 - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30771 + 47152. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 190987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*v + v - 2, -5*d = 2*v - 17. Suppose -z + 5*z - 24 = -n, d*n = 2*z + 2. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - 7*s - 4. Let w be k(-7). Let f(o) = -2*o - 5. Let v be f(w). Let l be 2 + (-2 - -7) + -2. Solve 17 = l*n - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37583 - 36893. Is y less than or equal to 683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 8 + 141*g**2 - 2 + 12 - 2 in the form r*g**2 + y + z*g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7)\/((-142)\/(2286200\/(-75))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/60 + 17*j**4\/6 + 35*j**2 + 2. Let u(l) = 2*l. Determine d(u(f)).\nAnswer: -4*f**2 + 136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33148 + -11139. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -3*p + l, -5*p + 5*l + 45 = 0. Solve 0 = 4*g, -3*g + p = o - 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 46.97165 years?\nAnswer: 0.04697165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70355? (a) 227 (b) -0.5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/(-43)*-1*15\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6562 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + (-9)\/(-81)*-11. Put -32, t, -3, 4 in decreasing order.\nAnswer: 4, t, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -124\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -11\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1065233 > -1065233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 44\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 - -50556) + -12 - (-5 + -4)?\nAnswer: 50539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148662.\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-6)\/(-9). Suppose 2*x + b*x = 4*o + 56, 0 = -5*x - 3*o + 88. Calculate the least common multiple of 22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 - -0.08. What is the closest to -2\/5 in f, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 7*l + 59. Let a(k) = -3*k**2 - 8*k - 60. Let f(w) = -3*a(w) - 4*p(w). What is the tens digit of f(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjevvjvejv. What is prob of picking 3 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-15)*v)\/v*v*v\/v**(-2\/33))\/(v**(-19)*v**(-14)) assuming v is positive.\nAnswer: v**(662\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + r + 4 = 0, 88*r - 92*r = 3*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:16 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -34042 - 22876. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (-4*sqrt(10)\/sqrt(2) - (0 + sqrt(5) + -2 + sqrt(5))) + -3)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 923365.5 months?\nAnswer: 7694.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2575\/2 (b) 5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.5.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1039*g - 361*g + 378*g to the form u + a*g and give a.\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/1368)\/(24\/32*(-8)\/216*-9)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 421.8582 millimeters?\nAnswer: 0.0004218582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:26 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 + 5*v**4\/12 + 17*v**3\/6 - 1418*v**2. Give l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -28*y. Let b(n) = -103*n**2 - 52*n**2 - 148*n**2 - 238*n**2 + 234*n**2. What is b(a(q))?\nAnswer: -240688*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012 (base 3) in base 10?\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90012, -180023, -270032, -360039, -450044, -540047, -630048?\n\"Answer: x**2 - 90014*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66426 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5764*n - 2426 + 2426 + 266*n)*(4 - 4 + 3*n) in the form k*n**2 + f + h*n and give k.\nAnswer: 18090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 133*b**2 + 1. Let l(p) = 59338*p. What is l(o(j))?\nAnswer: 7891954*j**2 + 59338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 6) + (8 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - 2*d - 3. Let t be l(3). Let p be (-8)\/(-3) + ((-16)\/6 - -4). Solve t = p*s - 0*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1101172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 + c + 26. Let k be i(0). Let d be (29 - 11)\/(1 + 0). Suppose -j + z + d = 0, 4*z = -3*j + 49 + k. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 49. Suppose -v*s + 14*s = 1224. Let y be 2 - -5*(0 - -3). What is the highest common divisor of s and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k + 9. Let g(p) = 2*p**2 - p + 1. Let d be g(2). Let a = d - -3. What are the prime factors of f(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:27 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 v when four letters picked without replacement from qvqqqqvqqoqqqqqqq?\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-664)\/(-28) - (-10)\/35. Let q = 66 - j. Let w = -2 + q. Calculate the smallest common multiple of w and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-3)\/3 + 95). Suppose 179 = 4*v - 5*q, 2*v + 3*q = q + l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 2 h when four letters picked without replacement from ymsswhcyyhhy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/4 - 403*l**2 + 104783*l\/4 + 2283645\/2 = 0?\nAnswer: -1673, -30, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = 5*c - 20, -c + 2*d + 5 = 0. Solve h - c = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161013 is divided by 3550.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 8*x - 16. Let v be u(-3). Suppose 907 = -43*t + v*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839850941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.12 - 0.61. Let x = k - -7.73. Which is the nearest to 0.1? (a) 4\/3 (b) x (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/7*d**5 - 164\/7*d**4 - 116\/7*d**2 + 454\/7*d**3 + 208\/7 - 536\/7*d = 0. Calculate d.\nAnswer: -1, 2\/5, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 176*i + 0 + 1\/6*i**3 + 0*i**2. Let g(m) = 8*m + 3. Let v(a) = -9*a - 2. Let f(k) = -2*g(k) - 3*v(k). Determine f(s(z)).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357467 or -357459?\nAnswer: -357467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 1. Solve -2*q - z = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13. Let r(x) = x - 28. Let z(k) = 2*r(k) - 5*w(k). Let o(f) = -3*f**2. Calculate o(z(h)).\nAnswer: -12*h**2 - 108*h - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -104*r - 397*r + 1100. Let -18*l**2 - 8*l - 1\/2*l**4 - 11\/2*l**r + 32 = 0. Calculate l.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567 (base 8) to base 3\nAnswer: -111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 2 + (1 - 4). Let l = -1228 - -1227. Let k be ((-6)\/(-56))\/(14\/(-56)). What is the nearest to l in a, 1\/18, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11924 and 4092?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 11690.\nAnswer: 58450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 3*z, -2*a - z + 5*z + 10 = 0. Suppose -26 + 8 = -a*x. Suppose x + 2 = 4*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 6*w - w**2 - 1 + 14*w - 17*w. Determine x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -360, -678, -922, -1068, -1092, -970?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18637049?\nAnswer: 17, 307, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31344300311 - -10?\nAnswer: -31344300301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 67\/(-670) + (-12764)\/(-40). Calculate the greatest common divisor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554183 is divided by 809?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2996597704 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**2\/3 + 9389*m - 17595 = 0.\nAnswer: 15\/8, 3519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i. What is r(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 4*r - 2. Let j be ((-5)\/(-3))\/((-1)\/(-15)*5). What is s(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -88\/13 (b) 2 (c) 19\/142 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - s = -5292, -4564*b + 4560*b + 4*s + 5312 = 0. What is the remainder when b is divided by 268?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2726*n + 14. Suppose 5*d + 3*s - 100 = s, 0 = 2*s. Let r = -9 + d. Let l be p(r). Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -39. Which is the nearest to 0? (a) 0.3 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = -3 - 77 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*t + 37*t + 9435. Suppose -k + t = -2*g - 63, 5*k - 3090 = g. What are the prime factors of k?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:04 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*k - 93*k + 960 = -633. Let p(x) = -3*x**2 + 28*x - 3. Give p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 e when three letters picked without replacement from sssbbssseesee?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/(-350)*(-24)\/10.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4434, -8867, -13300, -17733?\nAnswer: -22166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -2, 43, 16 in increasing order.\nAnswer: -2, 4, 6, 16, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*s - 272*s + 798*s - 266*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-2730)*(-12)\/3*5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91355 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8014.908 months to decades.\nAnswer: 66.7909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7277449.5 rounded to the nearest 1000?\nAnswer: -7277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 - 307053*p**2 + 614127*p + 921177 = 0.\nAnswer: -102353, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2416974 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/21 + 2*d**5\/35 + 3*d**4\/14 - 10*d**3\/21 + 2*d**2\/7 + 20. Solve r(s) = 0 for s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/13745 and 50?\nAnswer: 13745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eieeeieeeeieee. Give prob of picking 2 i and 1 e.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 0, r + r = -4*t - 20. Let m = -0.18 + -9.82. Let c = m + 10. Put r, c, 0.5 in descending order.\nAnswer: 0.5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/135 - ((-20)\/(-9) - 2). Let y(l) be the second derivative of 0 - 1\/10*l**5 + z*l**2 - 5*l + 1\/3*l**3 + 0*l**4. Factor y(g).\nAnswer: -2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 11. Let q = 7 + y. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4*s - 4*s)*(512*s - 185*s - 174*s - 115 - 166*s).\nAnswer: 13*s**2 + 115*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yavygsr. What is prob of picking 1 y and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let l(u) = u**h + 0*u**2 - 3*u**2. Let x(g) = -6 - 1 + 3*g + 7. Calculate x(l(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*y + 8606 - 1294 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + 2. Let x be b(-2). Let i = x + -6. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 8. Let p be 52\/6 + (-1)\/(-3). Suppose -3*k + 0 = p. Put a, -5, k in descending order.\nAnswer: a, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.963 - 1.263. Let q = 2.98 + 0.02. Let k = q - 0. Sort -3, k, f in decreasing order.\nAnswer: k, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 18. Let k = -9 + i. Sort k, -5, 3.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197440 divided by 2468\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.00840586606352 from -22.\nAnswer: -22.00840586606352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**5 + 132*g**4 = 0.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 - 5*g - 2. Let h(w) = w**3 - 8*w**2 + 9*w - 10. Let q be h(7). What is m(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(832)*1 + -4 + (sqrt(832)*-1 - sqrt(832))*-5 + sqrt(832) + -4*(sqrt(832) + sqrt(832)*2)))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/16 and (28 + 2)*(-5)\/(-160).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(117) + sqrt(117) + -1) + (sqrt(52)\/sqrt(36) - sqrt(39)\/sqrt(3)*4))**2.\nAnswer: -14*sqrt(13)\/3 + 646\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:49 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 13*u - 4. Give y(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v - 9*v - 3*v**2 + 0*v**2 to the form j*v**2 + f*v + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/6 - 5*h**2\/2 + 2*h - 9. Let k = -16 - -23. Let m be p(k). Solve -m = -w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -525773*o**3 - 1885376*o**2?\nAnswer: -3154638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2\/15*t**3 - 78 - 22\/5*t**2 - 42\/5*t. Determine u, given that h(u) = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 3. Let w be (-3)\/6 - (-18)\/4. List the prime factors of v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125181.988 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-3\/10)*f*f)\/f*f)\/f**30*((f*f**(-2\/39))\/f)**(-26\/5))**30 assuming f is positive.\nAnswer: f**(-781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015487762 rounded to six decimal places?\nAnswer: -0.001549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - t - 1. Let n be x(-1). Suppose 3*k = -q + 164, -2*k + n*q + 93 + 20 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0379 + 7.1079. Let u = 26 - 33. Let d = u + c. What is the biggest value in d, 2\/17, -0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2 - 40. Suppose g = -9*r + 132. Which is smaller: 7 or r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493053.\nAnswer: 31, 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 74*q**3 + 72*q**3 + 2*q**2 + 2 - 4*q + q - 152*q**3. Let s be o(1). Put 3, -3, -18, s in ascending order.\nAnswer: -18, s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ab890 (base 15) in base 16?\nAnswer: 8521e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:33 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4522968?\nAnswer: 2, 3, 62819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {f: 4, m: 1, v: 3, e: 7, y: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f + 7 + 1, 4*w = -2*f + 8. Let u be ((-38)\/w)\/(0 + -1). Suppose -55 - u = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 divided by 391?\nAnswer: 3575\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151912228*r**2 - 3460898*r + 80.\nAnswer: -303824456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 53658?\nAnswer: -1\/53658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-3)\/(-9) + 2. Suppose 6*p = l*p + 36. Suppose 5*z - z = p. Solve -3*g + 3 = -3*u - 0*u, 0 = 2*g + z*u - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00966924 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-1*2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32264341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2427 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 + 4700\/27. Calculate the common denominator of g and -139\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2\/1) + 1. Let s be -3 - -1 - 20\/(-4). Suppose 2*z - s = i. Solve -5*h = -z*m + 31, -h + 5*m - 13 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9674*t - 1557517. What is d(-161)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 - l**5\/20 - l**4\/24 + 281*l**3\/6 + 15*l**2. What is the hundreds digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/28)\/(-6)*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*q + 102. Suppose -q = -5*w - 137. Let x be (-2 + w)\/(-3) + 1. Solve 2*f + 0*f + x = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1. Let l(a) = -8*a**3 - 3*a**2 - 2*a - 4. Let d(m) = 4*i(m) + l(m). Let z be d(-1). Solve 3*o - 3*y - 1 = -z, -2*y = 2*o + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:25 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21034*k - 21047*k = -364. Solve 0 = k*s - 73*s + 135 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (9 - 74) + 78.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -104. What is the tens digit of 1533\/7 + k + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.8 - -2.8. Let q = i + 70.849. Round q to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -53?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 7) in base 14?\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12110 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555871309?\nAnswer: 7, 79410187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**8\/1512 - b**7\/315 + 2*b**5\/135 - 3*b**2\/2 - 2. Let k(h) be the second derivative of u(h). Factor k(c).\nAnswer: -2*c**2*(c - 1)*(c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.17 + 38. Let o = -0.01 - u. Let x = o - -0.34. Sort 0, -0.3, x.\nAnswer: -0.3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -26*q**3\/3 - 2*q - 4. Let v(s) = 166*s**2 - 484*s**2 + 152*s**2 + 169*s**2. Determine v(m(o)).\nAnswer: 2028*o**4 + 312*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2888616 by 3.\nAnswer: 962872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 3. Let n(q) = -q**2 - 7*q + 11. Let i be n(-9). Let t = i + 10. Give d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*j**2*y - 21*f*j*y**2 + 3*f*j*y + 54*j**2*y**2 + 569*j**2 + 25*y**2 + 4*y wrt j?\nAnswer: -4*f*y + 108*y**2 + 1138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - g)*(-104 - 85 + 41) + 4 - 4 + 2*g to the form y + b*g and give b.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m*m**(3\/7)*(m*(m*m**0*m)\/m)**13)\/((m*m**7)\/(m\/(m**(-2\/5)\/m)))**(-41) assuming m is positive.\nAnswer: m**(8996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -9.32. Let u = d - -7. Let z = -0.67999934 - u. Round z to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5892.963 rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000748 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {f: 1, c: 2, h: 1, z: 1, r: 2, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1701 + -1696. Let v = -2 - -1.7. What is the nearest to -0.1 in v, -2\/25, i?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose -r*n + 15 = -0*n. Suppose -a - 2*d + 6 = 0, 0*a + a = n*d + 13. What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -17.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1\/6, -8, -46074, -2.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -748.294 - -748. Which is the biggest value? (a) 0 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 - 8*l - 11. Let f be x(-6). Is f bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4689967505\/1617 - 2900413. Let n = 2\/147 + g. Which is the closest to 1\/2? (a) 3 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ff5 (base 16) to base 12\nAnswer: -14705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = -13. Let o(i) = -4*i**3 + i - 2. Let c(b) = 11*b**3 - 3*b + 5. Suppose -4*g + 3*a - 3 = 0, -g - 3*a + 4 - 16 = 0. Determine g*c(h) + y*o(h).\nAnswer: -h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Solve r = -0*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -5 + 1)*(6 - 2177\/301). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194322\/(-68502)*196\/4\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*c + 434 = -441*c - 307 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -51) + (-94 + 151 - 67)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -1 - 0) + 6. Let b be (-10 + (-590)\/(-60))*(1 + s). Solve b*d = 3*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 - g**2 + 13*g + 4. Let w(n) = -n**3 - n**2 + 3*n - 1. Calculate -r(z) - w(z).\nAnswer: -2*z**3 + 2*z**2 - 16*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2668768*y - 2668991*y + 21631 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -24*s + 2. Let p(y) = 95*y - 9. Let k(n) = 9*d(n) + 2*p(n). Let h(r) = r. What is h(k(o))?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226 - -225.5936. Let r = l + 23.4364. Let y = r - 23. Which is the second smallest value? (a) -3\/4 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 58. Let q be m(24). What is the hundreds digit of 5 - 138\/30 - 1976\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4575 divided by 5.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5583.32586 minutes in weeks?\nAnswer: 0.553901375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 1)*(-6715)\/51 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*p - 382212065 = -51*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -10 - 2, -d = -s - 48. Calculate the common denominator of -111\/10 and s\/(-27)*(-117)\/(-100).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-133)*(-1400)\/5200?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/8299 and -79\/386?\nAnswer: 16598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -25*m - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcz when three letters picked without replacement from {w: 1, z: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4434 or -4438?\nAnswer: -4434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 14, n: 5}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*s + 31, 46*y - 9 = 44*y - 3*s. Let k(b) = b**3 + 3*b**2 + 3*b - 3. Let g(l) = l**3 + 4*l**2 + 4*l - 4. Give y*g(m) + 4*k(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -1332420?\nAnswer: 1333112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 2\/7, 64, -0.04, -707, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.02 (c) 479\/227 (d) 105\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 - 4*m**2)*(-12 - 22 - 14 + 9).\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 3.2. Let v be 735\/(-828)*6\/(-15). Let f = -1\/46 + v. Is f <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3828 = 4*u, d - 20*u = -18*u + 960. Let n = d + -4748\/5. What is the common denominator of 70\/39 and n?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 54 = -30*s. Let j be (-2)\/(-2) + 6\/(-6). Let x be j - 1 - 3 - -5. Which is greater: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 7*u. Is (-99 - -7)*41\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 - -265. Suppose -4*b = -z*b + 282. What is the greatest common divisor of 188 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 236*n - 82. Calculate t(-15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {s: 4, x: 1, o: 1, d: 2, h: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179\/2932 in -7, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 892230683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q**2. Let k(h) = 825*h. Calculate l(k(w)).\nAnswer: -16335000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzb when three letters picked without replacement from bnbnzbndzbnnn.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*l - 304*l + 201*l = -364*l + 3942 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7607*f - 114108. Calculate i(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -36888.2604 to the nearest 100.\nAnswer: -36900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let p(x) = -x - 3*x + 4*x - x. Give p(f(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-2)\/12). Suppose 111 - 287 = -u*w. What is the second derivative of w*s**3 - 120*s**3 - 10*s + 2*s wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.1479 litres to millilitres.\nAnswer: 665147.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -43*s + 166. Which is smaller: s or 3\/8317?\nAnswer: 3\/8317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 + u**3\/6 + u**2\/2 - 266*u. Let k(y) = -6*y**2 - 9*y - 9. Give k(i) + 9*t(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g. Let w(h) be the third derivative of 0*h**4 - 9*h**2 + 0*h + 0 + 1\/60*h**5 + 0*h**3. Calculate w(i(q)).\nAnswer: 961*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g - 3*o, 959*g - 955*g + 4*o = 24. Put -8, g, -2 in descending order.\nAnswer: g, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((-85068)\/315)\/17 + 25\/(-7 + 12)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*s - 21*s + 44*s + 342 - 102*s - 14*s wrt s?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001010011100101010 (base 2) to base 14\nAnswer: -10a93c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + d. Let k(y) = 5*y**2 - 43*y + 55. Let t(f) = -k(f) + 2*l(f). Is t(34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300\/7 + -1696\/35. Let t(j) = -j - 11. Let p be t(-5). Let k = p - f. Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 243, 397, 611, 903, 1291, 1793, 2427?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 - 8*j - 8. Let p be y(-6). Let d = p + 14. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17692608 divided by -4423152?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7282)\/(-913) + -8)\/((-32)\/146) and -3\/581.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 8416, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l**2 - 3*l**2 + 2*l**2)*(2*l**2 - 4 + 4)*(-8*l - 6*l + 30*l + 3).\nAnswer: -32*l**5 - 70*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1539 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1531 - 15*l + 1481 + l**2 + 0*l**2 - 3048. Calculate n(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 - 516*f**2 + 6636*f = 0. Calculate f.\nAnswer: 0, 14, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -0.7, -0.1, -5 in descending order.\nAnswer: 0.19, -0.1, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 21*g**2 + g - 20*g**2 - 3*g**4 to j*g**4 + n*g + a*g**3 + w + m*g**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 31*y - 65. Let z(d) = -31*d + 67. Let w(v) = 3*f(v) + 2*z(v). Is w(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 11 + 14. Let t = 25578.4 + -25579. What is the nearest to 2\/3 in 0.06, i, t?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 7704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 621577557 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 86*b**2 - 73*b + 115. Find the first derivative of q(u) wrt u.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 45 - 60, -9*n - 5*p - 28 = -12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-189)\/(-45) + -1)*25\/2. Let r be (-242)\/(-12) + 1\/(-6). Calculate the highest common factor of r and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*f - 184, -4*f + 6*n = n - 157. Let h = -39 + f. What is the derivative of 4*d**2 - 49 - h*d**2 - 5*d**2 + 14 wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 47.9. Round a to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 16639\/613 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104799 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436*w = -434*w. Let c(n) = 2*n**3 + 3*n**2 - 3*n + 9. What is c(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:22 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 4. Let z be n(-3). Suppose k + 0*k - z = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -109. Is 2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*b = 20, 5*b - 35 = -5*p + 10*b. Suppose -4*a + 5 = -p*f - 9, -a = 5*f - 15. Let r = -2 - -6. Solve 2*m + r - f = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22990777 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18557683 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59127 - -94394. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-234)\/1768))\/(14*1)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1972, 3939, 5880, 7783, 9636, 11427, 13144, 14775?\nAnswer: 16308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 125 - 35 = 0. Let d(g) = g + 1. Let i(s) = -6 - 4*s - 3*s + 0. Suppose -5*h - 15 = -4*a, -5*a + 3*a + 14 = 4*h. Give h*i(j) + w*d(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1471 + -976. Let s = b + -463. Calculate the highest common divisor of s and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*i + 4, 0 = 4*i - 4*t + 11 + 33. What is the common denominator of (-146)\/i*((-165)\/(-40))\/(-11) and -18\/19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/69 + -403\/759. Suppose 5*f + 0 = -2*a - 17, f = 2*a - 13. Suppose -1 = -i + 4*b - 3, 8 = -a*i - 3*b. Is w not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let l = 108 + -108. Let b = -7 - -12. What is the nearest to n in b, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4767 and 65\/56.\nAnswer: 38136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j**2 - 3*j + 2. Let l be q(2). Let r be 190\/57 - (-114)\/(-18). What is the biggest value in r, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/26 and (-2)\/15 + 0 - 9773\/6090.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 plus -1232779?\nAnswer: -1232778.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2.52 (c) 2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*t = 20, 3*w + t - 15 = 4*t. Differentiate 3 - 5*f**2 - 8 + w*f**2 wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26733*n + 0 + 3 + 19332*n - 3 to the form b + g*n and give g.\nAnswer: -7401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6518406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35586037, -71172075, -106758113?\nAnswer: -142344151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 31. Suppose x + 14 = t*x. Factor 5*m**2 - 14*m**2 + x*m**2 + 5*m**2 - 3*m.\nAnswer: 3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4b483 + -1?\nAnswer: -b4b484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12643040 and 1984.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -i + 13, 261 - 277 = 5*a + 3*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*((2 - 2 - 6)*(0*a + 0*a + 2*a) + a - 6*a + a) to the form z*a + s and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 7*b**3 - 67. Let i(p) = 5*p - 4. Let o(k) = 4*k - 3. Let w(m) = 3*i(m) - 4*o(m). Determine z(w(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 17 + 32*w**4 - 34*w**4 + 2*w**3 as r*w + d*w**2 + k*w**4 + f + c*w**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45986392679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 3, n: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2179.\nAnswer: 653.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 35.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 u when four letters picked without replacement from wvuvwvwpppv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 - -7) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 384912 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: What is the second derivative of -54*v*y**4 + 2*v*y**3 - 2*v*y + 35*v wrt y?\nAnswer: -648*v*y**2 + 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 10 + w**2 - w + 88 + 10*w.\nAnswer: w**2 + 9*w + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49\/4 + 1\/4*z**2 + 7\/2*z.\nAnswer: (z + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -42*a - 32, 0 = -q + 2*a + 95. Is q < -4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 8 + 20 - 2*w - w + 2*w - 3*w + (w - 3*w + 0*w)*(-2 - 3 + 3) + 0*w + w + w.\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59359053 and 39.\nAnswer: 59359053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 68, 50, 36, 32, 44?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03917 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(21\/840*30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 - -144. Calculate the remainder when 39 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/16)\/(35\/280). Let t = -1 + 3. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(21\/((-4284)\/(-1258))).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 9*q**2 - 17*q + 187. Is 4 a factor of s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 7*t**2 + 7*t - 17. Let j(r) = r**3 - 3*r**2 - 3*r + 8. Let l(w) = -7*j(w) - 3*k(w). Differentiate l(o) with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k - 79. What is i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 23*p = 109320. List the prime factors of p.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (160\/4480)\/((-177)\/96 - -2). What is the third biggest value in -0.3, i, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 15.68. Let q = y + 13.68. Let o = -14.1 + q. Which is the nearest to 1\/4? (a) 0.3 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/495314676 and -133\/51822.\nAnswer: 495314676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 54.3. Let b be (6\/(-4))\/(18\/48) + 6. Put 3, 6, b, k in ascending order.\nAnswer: k, b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 261318*h**3 - 222869 wrt h.\nAnswer: 783954*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18016, -72607, -163600, -291001, -454816?\nAnswer: -655051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 36*v**4 - v**3 + 36*v**2.\nAnswer: v**2*(v - 36)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 bigger than 451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57218\/(-15008) - -4*1?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 414 + -409. Which is the fourth biggest value? (a) 0 (b) -0.7 (c) -3\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -38, 41, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 9. Let s be y(-8). Suppose 5*i = -7 - 8. Let t be i\/((-3)\/((-6)\/4)). Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -42.9. Let q = l - -3.2. Sort q, -4, -1\/3 in ascending order.\nAnswer: -4, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -2947*n**5\/10 - 19*n**4\/6 + 6*n**3 - 57*n + 2. What is the third derivative of b(g) wrt g?\nAnswer: -35364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, w: 1, g: 1, x: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 2207 + 3*a + 1888 + 0*a to the form y*a**2 + z*a + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z + 2. Let u be q(2). Suppose 3*y - 1754 = -620. Suppose u = 4*d - 5*j + 132 - y, 3*d - 5*j = 187. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1c791?\nAnswer: -1c794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 1. Let r(z) = 2*z**2 + 4*z - 4. Let u be r(-4). Calculate the lowest common multiple of ((-22)\/3)\/((-8)\/u) and w(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15935637.1 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 441*p + 5 - 4.\nAnswer: -441*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*n - 16, -i - 5 - 9 = 3*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/6514 and 32\/1505.\nAnswer: 9803570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3634 - -3630. Sort 3, -31, -2, k in ascending order.\nAnswer: -31, k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223777448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187774709 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*m - 9 = 0, -69*a + 22 = -65*a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - q = -58*q + 781 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3287 (base 9) to base 11\nAnswer: -1908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 + 12*s - 33. Let o be d(9). Let b = 178 - o. Sort 0, 3, b in increasing order.\nAnswer: 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35319648\/365 + 96766. Let f = s - 3\/73. Which is bigger: 4\/5 or f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1818 = 7*p. Does 24 divide (p - 21)*2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 3*m**3 - 2*m**3 + (4*m + 0*m - 3*m)*(0*m**2 - 3*m**2 + m**2) - 4*m**3 - m**3 + 3*m**3 - 279 + 21*m**3 + 279 + (-4 - 3 + 3)*(m**3 + m**3 - 4*m**3).\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/17*1649\/194\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 + 6290*b + 18879 = 0. What is b?\nAnswer: -3, 6293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 3\/4, 1\/33, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7 = -2*s - 13, -5*s = 5*i + 20 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6168 or -10629?\nAnswer: -6168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 428 - 429. Is l smaller than 20\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 4*v - 6. Let u be d(-3). Sort 0, 2, u in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/1*(-8 - 3\/6). Suppose 0 = -0*z + 5*z + j. Let r be (-24)\/z - (-100)\/17. Solve -3*a = 21 - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8545 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -208.44233.\nAnswer: -833.76932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 4*v**7\/21 - 2*v**3 - 5*v. Find the second derivative of u(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 49. Let y = -61.973 + v. Let c = -2.327 + y. Round c to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 14. Let o = 46 - f. Let p = -2.03 + 2.43. Which is the fourth biggest value? (a) -5 (b) -0.5 (c) p (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(5) + (-2 + sqrt(320))**2).\nAnswer: -328 + 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 4 = -3*k - 10*d, 2*k + 3*d - 19 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -17*u - 1. Let j be r(4). What is j rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 20*u**2 + 102*u + 8. Calculate w(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58355423.\nAnswer: 7, 31, 41, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 2*u**2 - 4*u - 1. Let j = -2787 + 2897. What is the remainder when j is divided by b(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183573 and 2691.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3 + 13723558*g**2 - 132822354 wrt g.\nAnswer: 9*g**2 + 27447116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 2, t: 5, l: 2, g: 3, w: 2}. What is prob of picking 1 w and 2 e?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552 divided by -3552?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o + 228 = 0. Let d = -98 - o. Let p = 34 - d. Calculate the remainder when 33 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 61 + 300 + 1331 - 28)*(-4*p**2 - p**2 - 9*p**2) to the form k + m*p + l*p**2 and give l.\nAnswer: -23548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**8\/84 - w**5\/15 + w**2 + 2. Let j(t) be the second derivative of g(t). Find the third derivative of j(l) wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 23 - 47. Suppose t*l - 16*l = -1521. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/41)*d)*d*d**0\/d*d*d\/((d\/((d*(d\/(d*d**(-1\/7)*d))\/d*d)\/d))\/d)*d*d*d**(2\/37))**32 assuming d is positive.\nAnswer: d**(763104\/10619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9287295 is divided by 618?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31 + 28 - 2*f + 2*f - 20*f**2 wrt f?\nAnswer: -40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12854146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 169, 128, 49, -80?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -335*r**4 + 12*r**2 - 597*r + 4. Let w(d) = -335*d**4 + 9*d**2 - 596*d + 3. Let l(z) = 3*s(z) - 4*w(z). What is the second derivative of l(f) wrt f?\nAnswer: 4020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*m**2 - 48*m**2 + 6*m**4 + 770*m - 54*m**4 - 770*m + (-m**3 - 3*m**3 + 2*m**3)*(0*m + 2*m - 4*m) - m**4 + m**4 - 2*m**4.\nAnswer: -46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173537, -2347083, -3520629, -4694175, -5867721, -7041267?\nAnswer: -8214813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 3*t = 76, -j + 22 = 4*t. Suppose -9*s + j = -2*s. Suppose -2*c + c + 2*u + 708 = 0, 1456 = s*c + 4*u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k - 66. Differentiate 39 - 7 - k + 14*v + 7*v wrt v.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 68*c. Let t(a) be the third derivative of -a**5\/30 + 2*a**2 + 449. Calculate t(b(s)).\nAnswer: -9248*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -8*q + 4*q. Suppose -5*i + i = -q. Let v(j) = 0*j + 23 - j - i + j**2. Let b(o) = 2*o**3 + 5*o**2 - 4*o - 7. Give -b(s) + 5*v(s).\nAnswer: -2*s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.27, -4\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/3))\/c)**8*c*(c*c**(2\/3))\/c*c**(1\/3))\/((c**(2\/11)\/c*c**(-5\/2)\/c)\/((c*c**(5\/6))\/(c*c**(6\/7)\/c*c))) assuming c is positive.\nAnswer: c**(74\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 2\/5, 78?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*o - 2. Let q be o - 2\/(-1 - 5\/(-3)). Suppose 2*m + 96 = q*c, 4*c + m - 198 = 2*m. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 - -398. What is the common denominator of i and (-10)\/45 + 28\/(-198)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*y = 25, 5*v + 4*y - 2*y = 44. What is the least common multiple of 22 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 15.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 13\/129800, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-24))\/(6*(-110)\/(-792))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 120251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 4. Let k(o) = t - o**2 - 2*o**2 + 4*o**2. Let u be k(6). Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0172 - -43.9828. Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {k: 13, j: 4, s: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942257 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 - -8. Let g = -0.4 - k. What is the closest to g in -2, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 + 0.01. Let l = 0.30005 + w. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7520 and 4209696.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(13\/((-975)\/(-10))). Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390997291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45718 - -0.35718. Suppose -3*l + 0 = 3. Which is the closest to l? (a) 10 (b) 3 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y = -73*y + 335. Let o = y + 200\/3. Which is the second smallest value? (a) o (b) -1 (c) 10 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - 130. Suppose -8*o - r = -24*o. Solve 10 = o*b - 5*s, 0 = -4*b - 3*s - 2 - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a factor of 412926660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1231*u - 39389. Determine f(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32467065 * 1.\nAnswer: -32467065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1000 + -666. What are the prime factors of a?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 111784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-12)*m)\/m**4*(m**(-1\/2))**(-37) assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4085 and -12.3.\nAnswer: -4097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.2415*-1.\nAnswer: 16.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 7. Let d be s(6). Let m(u) = 11*u**2 + 11*u - 4. Let n(l) = 5*l**2 + 5*l - 2. Let a = -67 + 70. Give a*m(g) + d*n(g).\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (3260\/18)\/5 + (-18)\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 501084 and -1.\nAnswer: 501083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004761 rounded to 5 decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let k be 4\/3*(-6)\/(-68). Which is the nearest to 1? (a) k (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1976596656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuux when four letters picked without replacement from {x: 4, u: 2, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6 + 126*r**3 + 19*r**2 + 3*r?\nAnswer: 240*r**3 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-55)*-5*4\/(-88)*-6.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 10 - 7*n + 26. Let u(f) be the first derivative of f - 2659. What is s(a) - 36*u(a)?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**8\/672 - w**7\/15 - 3*w**6\/5 + 43*w**5\/60 + 497*w**4\/48 + 49*w**3\/2 - 3310*w**2 + 1. Let n(r) = 0. Calculate r.\nAnswer: -21, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17)*4)*2 + 2 - (sqrt(1666)*-2)\/(sqrt(200)*1).\nAnswer: -2 + 47*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + -2. Let w = 50 - s. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5566923.\nAnswer: 3, 618547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, 1 i, and 1 u when four letters picked without replacement from uuxubxixxxxxu?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34210013 - 404?\nAnswer: 34204104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419531 by 5.\nAnswer: -419531\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ab + 195a9?\nAnswer: 19687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58888?\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1.30973 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6790 and 9296.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100058, 200359, 300660, 400961, 501262?\nAnswer: 601563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.99*2.\nAnswer: 17.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/((-26733)\/(-134))*108\/(-128)\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 4*k**2 + 4*k**2. Let o(u) = -19*u. Give o(m(a)).\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nccn when four letters picked without replacement from {c: 9, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 518 = 5*q, 0 = -q - 2*t - 21 + 123. Suppose -f = f - 26. Calculate the highest common factor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 778*g**4 - 45*g**3 + 5*g - 2094. Let l(u) = 389*u**4 - 27*u**3 + 3*u - 1047. Let c(v) = 5*l(v) - 3*y(v). Find the first derivative of c(s) wrt s.\nAnswer: -1556*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + -11 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1895481534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 + 271.8. Let o = 37 - p. Let s = -3.8 - o. Which is the closest to s? (a) 0.4 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.21 + 411.21. Let n = -487.4 + d. What is n rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 95*s**2 - 2877*s\/5 - 4329\/5.\nAnswer: (s - 481)*(s + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*d**5 - 4*d**2 + 96 wrt d?\nAnswer: 11220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 1, h: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8266000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 1 + 1 + (4 - 3 + 1)*(3*b**2 - 3*b**2 - b**2) + (-2*b + 6*b + b)*(61*b - 23*b - 260*b).\nAnswer: -1113*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13149364*h**3*p**2 - 3*h**3 - 2*h**2*p**2 - 19*h**2*p - 4017*h - 3*p**2 - 2*p wrt h?\nAnswer: -78896184*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01341196 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 1\/4 (c) 46 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 1, b: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(210) - sqrt(210))*-4 + sqrt(210) - sqrt(210))\/sqrt(7))\/(sqrt(54)*2*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 54*x - 58*x - 17 = 0, 0 = 5*z + 5*x + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -1666*a**2 + 1166*a - 1070. Find the first derivative of i(g) wrt g.\nAnswer: -3332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 35\/9 (b) 0.7 (c) 0.27 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 12*q**3 - 4*q**3)*(-2*q + 5*q + q).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 - (-80)\/14. Let n = b + -1. Suppose n*l - 9 = 16. Solve 7 = 3*x + 4*z, -l*x + z + 40 = 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177735 - 119165. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/8)*d**(21\/8))\/(d*d**(-12)\/d)**(-33) assuming d is positive.\nAnswer: d**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 times 18?\nAnswer: 5058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*d + 5879 = -2*d, 23478 = -4*z - 3*d. Let g = z + 9398. Let f = 31790\/9 - g. What is the common denominator of -13\/5 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:44 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 169371 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441241 is divided by 395?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 134 = 3*c - t, 1 = t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 74253*d - 2745987. Calculate u(37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/6? (a) -1.75 (b) 3.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -17351, -0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 317*b**2 + 315*b**2 - 5.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 80, -2211, 17 in descending order.\nAnswer: 80, 17, -1, -2211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*j)*(-1 + 0 + 0 + (4 - 3 - 3)*(20 - 195 - 31) - 3 - 2 + 3).\nAnswer: 1636*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -412, -924, -1640, -2560, -3684?\n\"Answer: -102*v**2 - 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 10*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4144 and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*h - 222 = -j, -j = 3*h + 74. Let t = -74 - j. What is t rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*w - 4, y + 2 = 2*w - y. Let g(k) be the first derivative of -2\/21*k**3 + 0*k + 0*k**2 - 2 - 1\/14*k**w. Factor g(t).\nAnswer: -2*t**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77867291.\nAnswer: 29, 757, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286446, 286453, 286472, 286509, 286570, 286661, 286788, 286957?\nAnswer: 287174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80, -162, -236, -296, -336, -350, -332, -276?\n\"Answer: i**3 - 2*i**2 - 83*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 235\/28, -0.00445, -11 in decreasing order.\nAnswer: 235\/28, -0.00445, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**(4\/3)\/r*(r**(-1))**44)**(8\/7) assuming r is positive.\nAnswer: r**(-904\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -991 or -363\/2?\nAnswer: -991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -34, -47, -60?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 3163 = -190*w + 3669 - 928 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 6\/(-2)) + 0 + 1477. Suppose -d = -36*n + 19*n. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1.2 (b) -3 (c) 34.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192596\/65897 - 2\/5069. Suppose -246*t + 249*t + 4*i = 109, 110 = 3*t + 5*i. Calculate the common denominator of t and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 1. Let m be l(1). Suppose -v - 4 = 0, -m*v = -z - 2*v + 8. Solve 5*i + z*i = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-420)\/(-245))\/((-4)\/126). Let b be (6\/m)\/(4 + 38\/(-9)). Are 3\/10 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94580533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 + 4*r - 39. Let l be y(5). Let i = l + -129. Suppose a - 2*k + 3 = 5, -2*a + 4 = -2*k. Solve a*h = -i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*r - 10 = 0, r = -3 - 1. Let l(j) = j - 4. Suppose 7*b - 12 = 5*b. What is the remainder when l(b) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {e: 1, a: 8, l: 1, q: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.94 rounded to zero dps?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1077 + -1052 + 1 + -23 - (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 19768.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8712418 and 0.4.\nAnswer: -3484967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l - 5 + 0*l**2 + 1\/360*l**6 + 1\/30*l**5 - 8\/3*l**3 - 1\/24*l**4. Let w(u) be the third derivative of s(u). Calculate w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 5*h - 1, -4*h = -3*p + 3. Suppose -3*w + 8 + 1 = 0. Suppose 4*m = -2*o - 4, 0 = 2*m + w*o + 1 + p. What is the biggest value in -3\/4, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 134*1*57\/38 + 3. Suppose -3*b + y = 4*i, -4*i = -5*i. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3*x**2\/2 - 2*x - 124526. Let a(y) = y**2 + y - 3. Let s be a(-3). Suppose -3*q = 4*k - s*k, 4*q + 4 = 0. Determine j(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 23 - 17)*(1 - 6 + 0)*(-5 + 9*z + 5).\nAnswer: -1260*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - b - 2. Let i be y(2). Let d = 32 + i. Solve 4*h - d + 11 = 3*k, 2*h = k + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m + 5*m - 2*m)*(3 - 3 - 2)*(m - m - 2*m**3) as t*m**3 + v*m + n*m**4 + h*m**2 + f and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + q = -3*q + 26, 0 = -3*q + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 2.6516?\nAnswer: 42.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -11. Let y(p) = -p**3 + 4*p**2 - 2*p - 2. Calculate y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -276, -410, -544, -678, -812?\n\"Answer: -134*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1355*w**2 + 1552*w wrt w?\nAnswer: -2710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 9*n - 2. Let l be x(-5). Let j(q) = -l + 1 + 4*q + 0*q**2 - q**2 - 2. Suppose -y - 4*y + 20 = 0. Determine j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 7*i + 18*i - 4*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2093991*q**2 - 28321*q**3 - 2093991*q**2)*(2 - 2 - 2*q).\nAnswer: 56642*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-8)*(-4)\/7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95262 and -0.2.\nAnswer: 19052.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117, -401, -809, -1287, -1781, -2237?\n\"Answer: 9*q**3 - 116*q**2 + q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 21056550*v + 105282825.\nAnswer: -3*(v - 7018855)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264 is divided by 135.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-6)*48\/(-32). Let w = y - -20. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 51.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 729410 divided by -1745?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -6. Let g = -8879 - -8942. Calculate the greatest common divisor of x and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1 - 5\/(-1). Suppose -3*n = -j*n - 2. What is the second derivative of 0*z + z**4 - n*z**4 + z - 4*z**4 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 - 14*s**2 - 47*s + 195. Calculate the smallest common multiple of 3612 and a(6).\nAnswer: 68628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/6 - (1 + -5) and -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478200 is divided by 9758?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -29. Suppose -2*h + 14 = -0*h + p*s, -h - 4*s = -13. Let a = 64.8 + -64.6. Sort a, -0.2, h in increasing order.\nAnswer: -0.2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -207\/2 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - 25\/(-2). Suppose -2*u + 198 = -5*u. Does 11 divide u\/2*(-4)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*h**5 - 290*h**4 + 1245*h**3 - 550*h**2 - 1460*h + 600 = 0. What is h?\nAnswer: -15, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879.201ug in nanograms?\nAnswer: 3879201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268 + -268. Solve -2*j + 8 + p = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164.3 + 164. What is the closest to -2 in g, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - v - 5, w - 5*v - 9 + 2 = 0. Suppose n + 20 = -4*n. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkrkkskkqkkqgkkkg. Give prob of picking 1 s and 1 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 73, 110?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/12 - 4795\/1086. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from iviiiiv?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50\/140071 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:07 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/118 and 71\/14.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 798657.6 millilitres?\nAnswer: 798.6576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let d = 24\/7 + -22\/7. What is the closest to d in 2, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s*s\/((s\/(s\/((s**(-1\/2)*s*s)\/s)))\/s)*s*s*(s**(-5)\/s)\/((s\/(s\/(((s*s*s**(-11)*s)\/s)\/s)*s))\/s*s) assuming s is positive.\nAnswer: s**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 2 + -4 + (-6 + 21 + 3 - 16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5503379\/78 + 70555. Let a = 4\/13 + v. Calculate the common denominator of -39\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*g + 206*g - 99 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c**3 - 8*c**2 - 7*c - 18. Let v(y) = -46*y**3 - 16*y**2 - 12*y - 30. Determine 5*k(d) - 3*v(d).\nAnswer: 28*d**3 + 8*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4003373930 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, 50, -2 in increasing order.\nAnswer: -2, 3, 4, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -4 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 97*y**2 + 93*y - 482. Is 46 a factor of a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}