diff --git "a/data/dm_maths/full_data/1787_11255.jsonl" "b/data/dm_maths/full_data/1787_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1787_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -51 = 3*o - 3*s, -o - 72 = s - 49. Which is bigger: -165\/8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 4*n + 5. Let b be (-2 + n - -2)*3. Let y = 7 - b. Solve 5*a + 5*l + 29 = 3*l, -4*l + 12 = -y*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 = -43. Does 9 divide (16\/l)\/((-1)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*h**6 - 7*h**2 + 1 wrt h.\nAnswer: -22200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 675 + -23?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 50*g**2 - 953*g + 28773. Determine z(27).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -34. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-1 - -13). Suppose -f = 10*g - 14*g. Solve -3*o - g = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -165, -153, -137, -117, -93?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qexwwnx. Give prob of picking 1 n, 2 w, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1993.84081 - 15208\nAnswer: -13214.15919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -5*n - 4*k - 15, 4*k + 36 = 11*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 8) to base 12.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -137*q + 1253. Calculate o(10).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (0 + sqrt(80))*-5) + (1 + sqrt(80))*-2 + 2*sqrt(80) + -5 + -3)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4856151?\nAnswer: 3, 23, 70379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*k = 2, 2*p - 4*k = -3*p + 16. Calculate the greatest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 16*z + 31. Let v be t(2). Suppose -r = -4*r. Suppose -2*b + 126 = -r*b. What is the highest common divisor of v and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381434*l**4 - l**3 - l**2 + 82317774*l wrt l?\nAnswer: 4577208*l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -572\/3. Let d(b) = b**3 + b**2 - 4*b + 12. Let c be d(-5). Let j = c + 66. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423 and 10340.\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 434. Let k = 366.99594 + w. What is k rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 295641*r**4 - 342082 wrt r.\nAnswer: 1182564*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 2*u - 8*u + 5*u + 2907*u**2 + 24.\nAnswer: -u**3 + 2907*u**2 - u + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2285646 - -13.2285643. Let f = c + -7. What is f rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 66. Suppose -34*n = 6*n - 3600. Suppose 0 = -5*b - 3*m - 2*m + n, 0 = 2*b - m - u. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*m = 27. Which is the nearest to m? (a) 0.2 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*v + 17, -v + 12 = 3*v. Suppose 4*g - 1470 = -2*w, w = j*w + 5*g - 720. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7037 and 992.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from {g: 3, d: 8}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421956 is divided by 46398?\nAnswer: 4374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 + 804*p**2 - 4 - 6*p**3 - 2*p + 863*p**2 - 1738*p**2 to v*p**2 + g*p**3 + w + m*p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18733318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2926 and 1386?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*g*g\/(g*g\/(g*g*g*g\/g**(-1)))*g*g)\/g))**(-27)*g**7\/(((g*g\/(g**(-1\/6)\/g))\/g*g)\/g) assuming g is positive.\nAnswer: g**(1163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22802 - -49929. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + -3144?\nAnswer: -316b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 19*g**2 - 7*g - 19. Let p be s(10). Suppose -p*h + 12*h = -5*z + 22, 4*h - 4*z + 8 = 0. Let -8\/9*q - 2\/9*q**h - 2\/3 = 0. What is q?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -424068?\nAnswer: 6\/35339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 5730 and 3210 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.70364464 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-9)\/(6 + (12 - 21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*f**4 - 55*f**4 - 137*f**3 + 58*f - 94*f**3 + 5*f**5 + 31*f**2 = 0. Calculate f.\nAnswer: -29, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2288 times -0.3\nAnswer: -686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 10*h**2 + 14. What is the remainder when 17 is divided by m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(3\/5)*j*j\/(j**2\/j)*((j*j**1)\/j)**(-23\/3) assuming j is positive.\nAnswer: j**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 1.4936, 0.2?\nAnswer: 1.4936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23 - -24) + -1*38. Let p = 37 + h. Suppose 6*f - 10 - 8 = p. Sort -5, 4, -3, f.\nAnswer: -5, -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 113, 112, 111, 110, 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 5, o: 2, g: 1, p: 2, c: 1}. What is prob of picking 2 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22+1.5127\nAnswer: -20.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/8098940 and -123\/1520.\nAnswer: 32395760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 11:24 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-360)\/48*1\/(-3)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + -7 + 8 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -15. Suppose 0 = -2*w, m + 4 = -w + o. Suppose -v = -3*v + m. Solve -40 = 5*z + 5*f, 28 = -6*z + v*z - 5*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iici when four letters picked without replacement from iiicpcppp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 12*y**2 + 223*y - 1900. What is z(18)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3213767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22391258 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553 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: Convert 27ba0 (base 14) to base 8.\nAnswer: 300040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -906 (b) -0.2 (c) 14 (d) -0.04 (e) -4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 892949 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: Simplify (y**(-1)*y\/y**(2\/7))\/(y**(-1\/4)\/y*y**1)*((y*y**(-1\/4)\/y)**(-13))**(3\/26) assuming y is positive.\nAnswer: y**(19\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -16187, -0.1, -2\/19, 0.5, -4\/11, 2\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {t: 10, a: 1, c: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d5ad - -8e5?\nAnswer: -ccc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1468*p**2 - 34840*p + 34840*p - 3*p**4 + 3*p**4 - 1352*p**6 wrt p.\nAnswer: -162240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-2)*5\/(-4). Suppose -4*a + 9*a - 4*x = 338, u*a - 320 = -5*x. Let c = 49 - a. Is -18 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 14, 27, 46, 71?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 0 - 1 + 4 + 22*h**2 - 23*h**2. Let n be o(0). Solve 0 = 2*g - n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -648387540*d**4 - 75984888*d - 3 wrt d.\nAnswer: -7780650480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-12)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35426063 is divided by 107.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6820 and 53675?\nAnswer: 73212700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-385)\/(-561) - -4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3840 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 219263, 219804, 220705, 221966, 223587, 225568, 227909?\n\"Answer: 180*j**2 + j + 219082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741307 is divided by 144279.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = 17. Let k = -1 - r. Suppose -l + k = l. Is 8 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o - 323. Give x(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138477?\nAnswer: 3, 31, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91816404*p**3*y**3 - 2*p**2*y**3 - 690*p**2*y - 3*p*y**3 - 2126*y**2 wrt p?\nAnswer: 550898424*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152135?\nAnswer: 5, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*s + 706*s - 130995 = 549*s - 711*s for s.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.3 (b) 3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 5\/9*h**6 - 20\/3*h**3 + 0*h - 35 + 20\/3*h**2 + h**5 - 25\/6*h**4. Let k(l) = 0. What is l?\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 257*g**5 - 263418*g + 263418*g + (3*g - 1 + 1)*(0*g**4 + 2*g**4 + 0*g**4).\nAnswer: 263*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20115447 to the power of 1\/2, to the nearest integer?\nAnswer: 4485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:10 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Suppose 10 = -2*h + v*h, 0 = 4*o - 2*h - 2. Factor 2\/7*g**4 - 2\/7*g**2 - 2\/7*g**5 + 0*g + 2\/7*g**o + 0.\nAnswer: -2*g**2*(g - 1)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:36 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 655\/2 - 329. Which is smaller: t or 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smemmee. Give prob of sequence mes.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-6)\/(-4)). Let r be (-2)\/712*(-86 + 5). Let p = r - -2\/89. Which is the closest to n? (a) 0.2 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - -5. Let n be (36\/10)\/(252\/8400). What is the highest common divisor of n and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7204998 is divided by 184743?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61477744 a multiple of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2071 = -17*j + 22*j, -3*j = -15. Is -1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y + 4*w - 15, -2*w + 6 = 4*y. Let l = -151.8 + 154.8. Put l, y, -2\/19 in ascending order.\nAnswer: y, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*c + 128*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfo when three letters picked without replacement from {y: 5, o: 8, f: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995996.1 decades to centuries.\nAnswer: 99599.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -26*a - 50. Let m be w(-21). Find the first derivative of -2*g**2 + 3*g**3 + m - 227 + 2*g**2 - 209 - 17*g wrt g.\nAnswer: 9*g**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/18*2878*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -2*h + 2*p, -h + 2*p + 6 = 0. Let t be h\/(0 + 6\/15). Suppose -2 - 8 = -t*g. Is 2 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 18976\/48 - (4\/(-3))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -13879.\nAnswer: 5\/13879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-38)*2\/2. Put 0.04, g, 2 in increasing order.\nAnswer: 0.04, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -681472\/15 - 256\/15*v**4 + 10568\/15*v**3 - 635008\/15*v + 2\/15*v**5 - 24992\/3*v**2 = 0. What is v?\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 42\/54106739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 227264, 227094, 226804, 226400, 225888, 225274, 224564?\n\"Answer: b**3 - 66*b**2 + 21*b + 227308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 3*m - 11 - m. Let z = -21 + 12. Calculate the remainder when d(z) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000583 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5022 or 2\/6327?\nAnswer: 2\/6327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -15\/16 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 + 101*o**2 + 375*o - 403951?\nAnswer: -9*o**2 + 202*o + 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (4 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**(-5)\/(u**1\/(u*u\/(u*(u*u**(-1\/4))\/u*u*u*u*u))))\/(((u\/u**(2\/3))\/u)**31)**(-5\/9) assuming u is positive.\nAnswer: u**(-2185\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i + 1. What is c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13797 and 89117.\nAnswer: 175649607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2180*-0.1\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - (-6 - -15)) + 5. Solve -118 + 30 = -w*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2242067 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -198*o + 599. Let k be j(5). Put k, 5, -0.4 in decreasing order.\nAnswer: 5, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2617\/(-2) + 4)\/((-5)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 - (0 - -1)\/(15\/165). Sort w, 464, 3.\nAnswer: 3, w, 464","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/604500 and -19\/604500.\nAnswer: 604500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * 30.4\nAnswer: 66.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**6\/120 + r**5\/15 + r**4\/12 - r**3\/6 + 2*r**2. Is v(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72b (base 12) in base 10?\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - u - 8. Let s be d(-2). Solve -44*g = -46*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = 0, -z - 2*b = 6 - 0. Let i be (z\/(-2) - -2)\/(-1). What are the prime factors of 3 + 156\/4 - i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113660841?\nAnswer: 3, 7, 701, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015225 rounded to seven decimal places?\nAnswer: -0.0001523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.42 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422407?\nAnswer: 422407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*a**3 + 38*a**3 + 85*a**3.\nAnswer: 282*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = 39*s + 13 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 61*r**3 + 15*r - 5231. Let k(z) = 63*z**3 + 17*z - 5230. Let w(h) = 7*k(h) - 8*s(h). Differentiate w(b) with respect to b.\nAnswer: -141*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 53*c + 119. Let d be i(-2). What is the greatest common divisor of 169 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274150*f**2 + 657104*f**2 - 246591*f**2 + 741466*f**2.\nAnswer: 877829*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17386 - -32209. What is w rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/44555, 2\/11, -1\/3?\nAnswer: 4\/44555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r**2 - r**2 - r**2. Let x(z) = 15*z**2. Determine c(x(q)).\nAnswer: -450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g**(2\/19)*g*g)*g)*g*g)*g\/g**(-9)*(g**(4\/9)\/g)**(-4\/31) assuming g is positive.\nAnswer: g**(42230\/5301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let t(d) = -2*d + 4. Give -t(u) - 5*z(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6182 - 0.1068. What is the nearest to -1 in w, 3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:17 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2709 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/9, -2\/7, -5, 4, 1043?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201434617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 62. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36996331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 13*g**2 - 2704*g + 29504. Give k(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -11. Let v = 24 - 9. Let h = 10 - v. Put -2, q, h in ascending order.\nAnswer: h, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from pzpfqqypazzpyf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 2*m - 3 + 3 + 4 + 5*m**2. Let a(v) = v**2 + v + 1. Let l(d) = -4*a(d) + k(d). Let x(h) = -8*h. Calculate x(l(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 2. Suppose 2*s - 5*c - 9 - 54 = 0, c - 93 = -4*s. Let t = s + p. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(539) + 2)*6*-3 - (-1*6*(sqrt(539) + 1) + 1))**2.\nAnswer: 162708*sqrt(11) + 3301479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/27))\/t)**(-5\/13))**(-36) assuming t is positive.\nAnswer: t**(-40\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2845729 is divided by 711421.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/7)*p)*p)\/p)**(-7\/4)\/(p**(-1\/9)*p**15) assuming p is positive.\nAnswer: p**(-455\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - 0)\/(-5)*3. Solve b + 17 = -n*d, -d + 3*d = -2*b - 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**3 + 23*u + 2681 - 24*u - 2681 - 85*u**2 to the form v*u**2 + w + d*u + h*u**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k + 5. Suppose -3*q = v - 13, q - 25 = -4*v - k*q. Let l = v - 6. Is l at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004314713 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 3\/8, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Suppose -38*l + 37*l - 636 = 0. Let s = l - -3156\/5. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 0.3, 1 in ascending order.\nAnswer: -5, 0.3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 104*v - 202. What is q(36)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (9 + 99 - 23).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g - 5. Let m(p) = 3*p - 1. Let k(l) = -9*m(l) + 2*o(l). What is k(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 26*f**2 + 5\/24*f**6 + 0 + 0*f**4 + 0*f**3 + 0*f + 2\/15*f**5. What is the third derivative of r(o) wrt o?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*h**(23\/2))\/h)\/h**(2\/23)*(h*((((h**(1\/13)*h)\/h)\/h)\/h*h)\/h)\/(h\/(h**(1\/14)\/h)) assuming h is positive.\nAnswer: h**(22105\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 8*k = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301 - -305. Suppose -6*o - 18 = -3*o. Let k = 2 + o. Sort -5, z, k, -1 in ascending order.\nAnswer: -5, k, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:28 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -141\/2, 0.4, 6\/11, 5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -118147704630 from 4394.\nAnswer: 118147709024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 2*t + 0*t**5 + 0*t**2 + 14 + 0*t**4 + 59\/42*t**7 + 0*t**6 + 6*t**3. Find the second derivative of f(s) wrt s.\nAnswer: 1180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230772 divided by -12.\nAnswer: 19231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -122021103312 (base 4) to base 2\nAnswer: -11010001001010011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:33 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(100)*-3 - sqrt(100))*4)\/sqrt(10))\/(sqrt(128) + sqrt(2) + sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2688 and 132?\nAnswer: 29568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 118, 15 in decreasing order.\nAnswer: 118, 15, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 1. Let i(p) = -10*p - 11. Let c(m) = 6*i(m) + 66*t(m). Suppose 2*v = v + 20. Let y(j) = 0*j - 2*j - 20 + v. Determine y(c(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03167*-5315.\nAnswer: 168.32605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347412 divided by 1703.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:40 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p. Let y(x) = 1926*x - 3920*x + 1946*x. What is y(d(k))?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let k be h\/(-4) - 5\/(-2). Let o(l) = -2*l - 21. Let s be o(-13). Solve 13 + k = -s*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 + 8*z + 12. Let v be b(9). Suppose -v*u + 480 = -183. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/38 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeujjuvheuuevjwuwu. What is prob of picking 3 e?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3*b**3 + 2*b**2 - b**2 + 5*b**3 + b**2 in the form s*b + f*b**2 + z + v*b**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 3*b. Suppose 5*p = l + 174, 0 = -b*p - 2*l + 4*l + 68. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355924 + -225.2.\nAnswer: 355698.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*x - 3)*(3 - 4 + 0) - 2*x - x - 2*x)*(2 - 3 + 2 + (-5 + 3 + 3)*(5 - 1 - 2) + 3 - 5 + 0) + (x - 2*x - x + (x + 3*x - 5*x)*(3 + 1 - 3))*(0 + 2 + 1).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33368 - 210.44368. Let d = n - -210. Sort -1\/2, -2, d.\nAnswer: -2, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 12*y**2 + 10*y - 13. Determine c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/26)\/(2\/24). Let g be z\/(-8) + 28\/(-48). What is the third smallest value in -1, 3\/7, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 + 78*f**4 + 1733*f**3 + 8136*f**2 + 6480*f = 0?\nAnswer: -36, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0.0277.\nAnswer: 2.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263431555 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: In base 2, what is 110110101111101 - 1?\nAnswer: 110110101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -7*f + 1\/20*f**5 + 1\/30*f**6 - f**2 - 5\/6*f**3 - 1\/4*f**4 + 0. Suppose g(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 388*d**2 + 19200*d + 36864.\nAnswer: 2*(d + 2)*(d + 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -1\/2 (b) 2 (c) -1336 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**3 + 4*x**2 + 9*x - 3. Let c(b) = -46*b**3 + 22*b**2 + 41*b - 16. Determine -11*a(l) + 2*c(l).\nAnswer: 7*l**3 - 17*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.865, -120.12, -0.4 in decreasing order.\nAnswer: 1.865, -0.4, -120.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 13*l - 3. Calculate x(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -13.5, -0.2, -2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 3 - 3)*(2 - 3 - 1) + 3*u + 7*u - 5*u)*((-1 - 1 + 3)*(-8 + 1 + 2) - 2 - 1 + 4).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22003 - -301?\nAnswer: 22304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -11007?\nAnswer: -5503.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2 + 76*j = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -835\/3 - -279. Which is the third biggest value? (a) 5 (b) i (c) 1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 5*n**3\/3 + 33*n**2\/2 - 9*n - 19. Let c be s(-7). Let u(x) = x**2 - 4*x - 2. Give u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**(-25)\/(l**(-1\/11)\/l**(-5\/9)) assuming l is positive.\nAnswer: l**(-22321\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -412.2 - -412. What is the closest to 2\/7 in 1\/6, v, 12, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -26*g**3 + 5*g**2 + 5*g - 5. Let u(y) = -39*y**3 + 7*y**2 + 7*y - 8. Determine -7*k(r) + 5*u(r).\nAnswer: -13*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12473004 and -1?\nAnswer: 12473004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9087, 18175, 27277, 36399, 45547, 54727?\n\"Answer: t**3 + t**2 + 9078*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 2*f**2 + 0*f**2 + 65*f - 65*f + 2*f**2 + f - 2*f**2 - f + (6 - 2 - 3)*(-2*f**2 + 3*f - 3*f) in the form d + s*f + l*f**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l - 3*z - z, -2 = 2*l - 2*z. Find the common denominator of -67\/33 and (46\/(-10))\/(36\/(-30)*l).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**5)*j**3)**(-33)\/((j**0*j)**(-1\/3)\/((j*j*j**(-3)*j)\/j**(1\/11))) assuming j is positive.\nAnswer: j**(2186\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.7 and 4.\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-2) + (159 - -1). Suppose 5*x - 190 = -2*b, -8*x + 3*b + q = -3*x. Calculate the greatest common factor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 423 and 2.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035223 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3087 and 0.1?\nAnswer: 308.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(432))*-2 + (4*sqrt(432) - sqrt(432))*-2 + 0)*-5)**2.\nAnswer: 19200*sqrt(3) + 691600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -2*o, 0 = 2*o + o - 15. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-180))\/((-2)\/(-6)). Which is the nearest to -0.03? (a) 0.4 (b) 2\/13 (c) 5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5058314815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15781121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/55 + 2\/55. Suppose o - 4*o - 2*r = -1, -4*r = -o + 19. Sort o, x, -3 in descending order.\nAnswer: o, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.974 - -0.026. Let v = 401 + -396.848. Let r = v - q. Round r to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(2\/(-3)) - -226. Suppose -3*p + 72 = -d. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 6*q + 1. Suppose -5*f + 2 - 32 = 0. Determine b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3814940 and 1007720?\nAnswer: 53409160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (2 - 5) + -5)*(40\/74)\/(-10).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/2 + -20\/3. Let h be (-6 - -8)\/(1*-3). Let t = -0.99 - -1.19. What is the closest to -5 in t, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 782014 or 782473?\nAnswer: 782473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 42 + 88\/(-20) + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7*j - 8*j + 7, -12 = 4*j - 4*l. Factor v**4 + 304*v**2 - 58*v**3 - 27*v - 249*v**j + 29*v**3.\nAnswer: v*(v - 27)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 + 4*x + 2. Let o be d(1). Suppose o*j - 5*w - 107 = 0, -w = 5*j - 151 + 39. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:36 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1490 - -2141. Let m = a + -215. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 - 277*f - 863. Let u be j(-3). Let 2\/19*s**5 - 10\/19*s**u + 4\/19*s**3 - 6\/19*s - 18\/19 + 28\/19*s**2 = 0. Calculate s.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1131?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + 10.27. Let n = j - 12.2. Let r = -1\/3 - -7\/30. Which is the nearest to -1\/5? (a) -0.4 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 3*k**2\/2 - 10*k + 4. Let g be b(5). Solve -2*z = -8, -3*z + 7*z - 16 = -g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 14*v**2 - 5*v + 66. Is 25 a factor of q(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i = -10*i + 12*i - 94968. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.3. Suppose 4*r - 25 = -125. Let o = r - -77\/3. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 112*n**4 - 2*n**3 + 2*n**2 - 244. Let g(c) = -c**4 - c**3 + c**2 - 1. Let t(x) = -2*g(x) + u(x). What is the derivative of t(y) wrt y?\nAnswer: 456*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 5:10 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 + -2. Is -15 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w**2 + 6*w + 2. Let k be f(-6). Let u(m) = 2*m**2 - 12*m - 12. Let z be u(6). What is the units digit of z\/(-21) + k\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 35*l**3 + 33*l**2 - 23*l + 3. Let r(x) = -9*x**3 - 8*x**2 + 6*x - 1. Let f(i) = -6*k(i) - 22*r(i). Determine u, given that f(u) = 0.\nAnswer: -2, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, -5, 145, -4 in ascending order.\nAnswer: -5, -4, -2\/7, 2, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 234\/(-4)*13\/(429\/(-22)). Calculate the greatest common divisor of 78 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*i - 241 = -336*i + 3*f, 0 = -5*f + 25. Calculate the remainder when 17406 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4418 + -4417. Which is the second smallest value? (a) -31 (b) 0.9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-3\/2)*v))\/(v**(-1\/2)*v))\/(v*(v**0*v)\/v)**(2\/119))**24 assuming v is positive.\nAnswer: v**(2808\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1544718150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/115 - -7\/23. Let q = -4 + 1. Let r(x) = x + 2. Let o be r(q). What is the closest to -0.2 in p, 3, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 23 - 17) + -15 + 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/((-2464)\/33))\/3)\/((-2)\/(-7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 3*z - 11*z - z. Let i(u) = -2*u**2 - u + u. Calculate i(s(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/27, 0.5, -33101?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/(1106\/(-158)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(29*n + 59*n - 9*n).\nAnswer: -79*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -34296, -1, -307 in descending order.\nAnswer: -1, -307, -34296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2598*k + 106. Is n(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57820082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*f - 2077*f + 541*f + 511*f + 510*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -3*q - 5*i - 189, q - 2*i + 105 = 0. Let u be 4238\/13 - (-2 - -2). Let n = u + q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 68. Sort 0, 1, l.\nAnswer: 0, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 274586024?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)*-2 - sqrt(351))\/sqrt(9) + sqrt(39))\/sqrt(3).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319628*x**5 - 1945793*x wrt x.\nAnswer: 6392560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/(-4))\/13)\/(3\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -117. Which is the second biggest value? (a) 0.2 (b) y (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.9265 to the nearest integer.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 - j + 1. Let l be t(-4). Let w be l*(87\/20 - 4)*4. Suppose -1204 = -w*k - 441. What are the prime factors of k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467597662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 514, 772, 1030?\n\"Answer: 258*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122141671.\nAnswer: 19, 263, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let v(s) = 14*s + 32*s - 3 - 23*s + 12. Let i(q) = -22*b(q) - 2*v(q). Let f be i(-9). Solve f = -r + 5*h + 16 + 7, -h - 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4 - 2. Let x = l - -10. Let f(g) = g**3 - 10*g**2 + 8*g + 22. Calculate the remainder when f(9) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 60, 64?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476200.62 minus -0.76?\nAnswer: -1476199.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 503 = 523. Let s = w + 356. Solve 6*t - 16 = s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 117546533 - 0?\nAnswer: 117546533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27\/55 - 12\/11. Let q = -18227\/2 + 9113. Which is the nearest to q? (a) -1\/3 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2900 and 101\/1177110.\nAnswer: 11771100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b + -690?\nAnswer: -6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -56*f**2 - 27*f - 6. Let j(s) = 124*s**2 + 54*s + 10. Determine -3*j(n) - 5*x(n).\nAnswer: -92*n**2 - 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -1513, -3725, -6909?\nAnswer: -11065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3382544t to micrograms.\nAnswer: 338254400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.386738 tonnes in kilograms?\nAnswer: 6386.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-165.925\nAnswer: -497.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2862429 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhirhhivv. Give prob of sequence vvh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 4*z**3 - 5*z**3)*(-688276*z - 1792*z**2 + 688276*z).\nAnswer: -7168*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 6*s + 17. What is the remainder when 225 is divided by k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -11467*y**4\/12 - 3971*y**2\/2 + 96*y + 5. What is the derivative of i(c) wrt c?\nAnswer: -22934*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 - z - 4. Let q(s) = -9*s**2 + 12*s + 4. Let k(u) = -25*u**2 + 34*u + 11. Let h(t) = 6*k(t) - 17*q(t). Determine -4*f(o) + 9*h(o).\nAnswer: -o**2 + 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 61*g + 613, 2*h - 65*g - 3 = -69*g + 39 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573))))**2 + sqrt(13) + (sqrt(13) + -3 + -1)**2 + sqrt(13).\nAnswer: -26*sqrt(13) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*j**3 - 3364\/7 - 3480\/7*j - 117\/7*j**2.\nAnswer: -(j + 1)*(j + 58)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9990389 and 0.11?\nAnswer: 1098942.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8 + 64 + (10 - (-7 - -15)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 15*k + 3 = 0. Let b be (-38)\/(-14) + (-6)\/(-21). Is k <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.083 + 0.064755. What is u rounded to 4 decimal places?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.46 in 0.5, 6\/11, -4, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:26 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 15 = 0. Suppose 0 = -7*l + i*l + 20. Let t = 193 - 189. Sort 10, t, l.\nAnswer: t, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a + a**2 + (452 - 452 - 70*a)*(a + 6 + 2 + a) to z*a**2 + t*a + w and give z.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0.2. Let t = 0 + 4.3. Let s = t - -0.7. What is the smallest value in p, s, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411075439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.089*-0.1\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oozzoooooooooooooz?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - 0)*(-6)\/(-9)*-16. Let v = b + -150. Let u = -50 - v. Calculate the highest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819487241.\nAnswer: 1399, 2015359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -1326?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3619*k**2 + 1447*k - 82185226?\nAnswer: 7238*k + 1447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315 or 1572\/5?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:00 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h + 2669 = 811 - 4534 - 538 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -365591 divided by 1?\nAnswer: -365591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 9\/10*z**5 - 9\/2*z**2 + 1\/14*z**7 + 1\/2*z**6 - 1\/2*z**4 + 5 + 3*z - 7\/2*z**3. Solve c(s) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(sqrt(3) - (sqrt(3) + 2*sqrt(363) + sqrt(3))**2).\nAnswer: -6*sqrt(3) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = -3*y, -4*r + 3*y - 31 = -37. Solve 3*w + 23 = -4*z, 3*w + r = 2*w + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -25, 4, 22, 3, -33 in decreasing order.\nAnswer: 22, 10, 4, 3, -25, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/57 (b) -25277 (c) -4 (d) 1\/4 (e) -5 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - -21?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 0.1 (c) 0.4 (d) 3\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 240 = 288. Suppose -3*b = -3, -4*h - 5*b + x = 11. Put h, -16, -4, 1 in decreasing order.\nAnswer: 1, h, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:26 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/2 in -1\/3, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300512 (base 6) in base 4?\nAnswer: 11233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3861258 is divided by 297.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733d (base 15) to base 8.\nAnswer: -57446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12 - 8 = r, 4*l + 44 = -5*r. Suppose -12*z = -5 - 367. Let c = 24 - z. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.327 - -346.327. Let z = s - 346. Let r = 2 + -1.6. Which is the closest to 0? (a) 4 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296095 divided by -31\nAnswer: -296095\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + (sqrt(1620) - (sqrt(1620) - (sqrt(1620) - sqrt(1620)*2))) - sqrt(1620)) + sqrt(20))\/(3*-1*sqrt(10)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 4) to base 16.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3778990*m**3 + 3740*m**2 - 254*m?\nAnswer: 22673940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1390 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14 = 0, -46*c - 40*z - 14 = -38*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 3, d: 4, w: 3, o: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-48)*-8*1\/(-36)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**2 - 70 + 0*h - 2\/9*h**3 + 1\/36*h**4. Factor s(v).\nAnswer: v**2*(v - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9914 divided by -1?\nAnswer: -9914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242498330?\nAnswer: 2, 5, 19, 1276307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3082 times 0.5\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 2:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3278921 greater than -3278921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -3*w**3\/2 - w. Let b(g) = -79*g + 808. Calculate the lowest common multiple of b(10) and o(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -61*j + 453. Give f(6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 19. Let g be c(5). List the prime factors of ((-1)\/((-6)\/(-1852)))\/(g\/(-21)).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25254 (base 7) in base 13?\nAnswer: 304b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 331494798 divided by -17\nAnswer: -19499694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -2722, -9784, -23670, -46654, -81010, -129012, -192934?\nAnswer: -275050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w - 10. What is the second derivative of 3*a + 2 - 2 - 6*a - 2*a**w wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/10*(-154)\/(-12). Let x be ((-2)\/(-20))\/(36\/342). Let a = q - x. Find the common denominator of -35\/2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 2 x when four letters picked without replacement from {k: 4, d: 3, z: 4, x: 7}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27270 is divided by 617?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 + 222 = -3*r. Let j(v) be the first derivative of 1\/4*v**4 + 2*v**r + 7 + 4\/3*v**3 + 2*v. Determine j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4583 = 2*y - a + 2*a, -4*y = -3*a - 9171. What is the units digit of (2\/(-6))\/((-2)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 19*y**5\/60 - 11*y**3\/6 - 2*y**2. Let a(g) = -10*g**2 + 6. Let n(i) = -11*a(i) - 6*j(i). Let b(c) = c**2. What is n(b(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -509*s**7\/210 + s**6\/60 + 67*s**3\/6 + 965*s**2. Differentiate q(k) with respect to k.\nAnswer: -2036*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-379*p + 879*p + 341*p + 780*p + 593*p)*(-2 + 2 + 2) as l + a*p and give a.\nAnswer: 4428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6744 + -47206\/7. Suppose n*b**2 - 16\/7 - 4\/7*b = 0. Calculate b.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 71. Suppose i = -x - z - 10 - 0, -3*x - 38 = -z. What is the third biggest value in 2\/3, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c, 0 = -3*y - y - c + 4. Suppose 4 - 12 = -t. Let p be (-473)\/4 + y\/t. What is p rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 + 80 = 0. Let x = 14 - h. Sort 5, x, -5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-57103592\nAnswer: 57103592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyffffyfyfyff. What is prob of sequence fyy?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1219.6 + 1220. Which is the biggest value? (a) o (b) 28\/11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74884, 299517, 673906, 1198051?\nAnswer: 1871952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q + 3*d - 4, -d + 10 = 2*q. Suppose u - 26 = 4*t + 56, 261 = q*u + 3*t. Let w = -71 + u. What is the lowest common multiple of w and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5446, -5996, -6546?\nAnswer: -7096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/7))**(3\/26) assuming a is positive.\nAnswer: a**(9\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -942308.380139 + 942308. Let q = 0.38 + z. Round q to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -92*l + 1. Let m be w(-3). Let x = 3603\/13 - m. Let p be 3\/(-45) + (-4)\/(-10). What is the nearest to 0 in p, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-5)\/((-5)\/(-4)). Let w(y) be the first derivative of y**3\/3 - y**2\/2 - 3*y - 44. Calculate w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f = -44*f - 2352 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -d0477?\nAnswer: -d0468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35376 and 1150512.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 11:05 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 76*m**2 + 463*m - 463*m. Let j(t) = -3*t**2. Give j(n(i)).\nAnswer: -17328*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 6*l. Let p be i(7). Let r = 7 + p. Suppose 3*y - 3 = r, y - 23 = -2*z - 4*y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -214, -165.86, 5, -5?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 50. Suppose 5*q - 5 = 5. Suppose d = -q*n + 7*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808, -2795, -2786, -2781, -2780, -2783, -2790?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74616 rounded to two decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(0 - -1) - (1 + -55). Suppose -5*l = -90 + i. Let z be -3*l\/12 + 2. Solve z = 2*a + 2*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + (-18 - -25) + 21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 135*x**8\/56 + 56*x**4\/3 + 164*x - 111. Let n(s) be the first derivative of a(s). What is the third derivative of n(k) wrt k?\nAnswer: 16200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 - 88. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 765.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:50 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {h: 1, w: 2, f: 3, o: 1, r: 3}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 278*w. Let x be s(6). Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(98) - sqrt(98) - sqrt(98))*6.\nAnswer: -504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x. Let m(l) = 19*l - 14. Let r(c) = -6*c + 4. Let g(b) = -4*m(b) - 14*r(b). What is k(g(i))?\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1331 - -2665\/2. Which is the nearest to 0.1? (a) 21.6 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 2, -54, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49011, 99648, 150285, 200922?\nAnswer: 251559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 3 - 3*j + 22*j**2 - 14*j**2 - 7*j**2. Let f be v(3). Suppose 2*w + f = 18. Calculate the remainder when 15 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:51 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 531 + -534. What is the remainder when 68 is divided by (6\/c)\/(4\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1 + 6 + 7*p**2 - 11*p**2 - p**3. Let c be l(-3). Let r be 0 - (-31996 - (0 - c)). What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 + 250. Suppose 2*t - 32 = 2*o + 8, -o = -5*t + k. Let n = t - 6. What is the remainder when 29 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18421.5l?\nAnswer: 18421500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -24*l + 21*l - 2*l. Let f(t) = t + 1. Suppose 3*q + 4*q - q = -6. What is q*h(c) - 2*f(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 33541 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/45 - ((-56)\/9 + 6). Let f(u) be the second derivative of 450*u**2 + r*u**4 + 0 - 20*u**3 + 2*u. Solve f(o) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 31*a = 25*a + 6. Solve 26*g = -a*g + 87 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = v + 16, 2*s = 3*v - 1. Solve 0 = -6*u - s - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95503 + 105302 + 205397 = 237*r. Calculate the smallest common multiple of 56 and r.\nAnswer: 12712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 - 2 - (8 + -7) - -8 - (-11 - -2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m - 4*m)*(2 - 2 + m**3) + m - m + 2*m**4 + (6*m - 6*m - 7*m**3)*(4*m - 6*m - m).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 36 + 17*p**2 + 1653*p - 1651*p + p**2. What are the prime factors of k(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 252345?\nAnswer: 1766415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 79 - 17 = -2*g, 140 = -4*g - 2*k. Let u = -20 - g. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + (sqrt(931) - (sqrt(931) + 1 + sqrt(931))))*4*-3)**2.\nAnswer: -10080*sqrt(19) + 137664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/t**1))))\/t)**(-2\/67)\/((t\/t**(2\/5)*t*t)\/t)**(-1) assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -694 - -451. Let h = 244.93 + l. Let r = -2 + h. What is the closest to r in 2, 2\/11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -2*v, -3*d + 19 = -v. Suppose 0 = d*x - 83 - 137. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -13*s**2\/2 + 4*s + 8. What is the units digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147888651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172430?\nAnswer: 2, 5, 43, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10 = 0, -6*u + 4*u = -5*o + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = q + 3*q + 112, -2*w - 85 = -5*q. Let p = w - -148\/3. Let x be 1*-3*2\/(-10). Put x, 1\/4, p in ascending order.\nAnswer: p, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62095, -124192, -186289, -248386?\nAnswer: -310483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/952 and 121\/17000?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5.03 + -4.1987\nAnswer: 0.8313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 + 13*d - 1. Let n be z(-3). Does 14 divide 343 - (-5 - n)*1*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 4, r: 5, h: 7}. What is prob of picking 1 n and 3 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.46858 to two decimal places.\nAnswer: 22.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(162) - -1*sqrt(162)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30214, -30000, -29776, -29536, -29274, -28984, -28660, -28296?\n\"Answer: p**3 - p**2 + 210*p - 30424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -38. Let p = 82 + -70. Solve -2*x - r = 2*y, -3*x = -5*y + 8 + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1 + (4 - 6 + 1)*(-1 + 0 - 1) - 1 + 0 + 0 + 0 + 0 + 3)*(-4*h + 3*h - h) to q + p*h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) 0.45 (c) -2218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 2408, 4394, 6906, 9944, 13508, 17598?\nAnswer: 22214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/792 and -73\/330?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(3)*-6)\/(sqrt(363)*2 - sqrt(363)))\/(-6*1*(sqrt(225) - sqrt(225)*-1)).\nAnswer: sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(72) + sqrt(72) + (sqrt(72) + sqrt(72)*1 - sqrt(72)) + sqrt(72) + sqrt(72)) - 2*sqrt(1008)*-3)**2.\nAnswer: 8179927\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-48346\nAnswer: -483.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84477, 168953, 253429, 337905, 422381?\nAnswer: 506857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 39. What is n(-9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 948 = 4*f + 5*r, 4*f - 4*r - 936 = 0. What is the greatest common factor of 34 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 170. Suppose -j + f = -4*q - 12, -4*j - 2*q + 4 = 0. Solve 5*u - h + 1 = -2, -j*u + 5*h = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bncc when four letters picked without replacement from {n: 2, c: 1, l: 1, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2725 (base 12) to base 8.\nAnswer: -10615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46204600 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/6*k**4 + 22*k - 1 - 1\/2*k**2 - 1\/3*k**3 - 1\/10*k**5. What is g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9378b + 32?\nAnswer: 937c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47\/7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 43*l + 239. Let h be f(-41). Which is smaller: 155 or h?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89957349.13 rounded to the nearest 1000?\nAnswer: -89957000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Let i(m) = -2*m. Let u be i(3). Let k be 4\/(-36) + (-2)\/u. What is the nearest to -0.1 in -1, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148913\/143 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19)*1 + 2*sqrt(2736))**2.\nAnswer: 250*sqrt(19) + 11900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -152687, -305147, -457379, -609383, -761159, -912707?\n\"Answer: 114*k**2 - 152802*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-35))\/(126\/196).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 0*h**2 - 5 + 12.\nAnswer: -5*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 37 = -3*s, 35*s = 32*s - 3*t + 36. Suppose 0 = -s*h + 22 - 0. Put -6, -3, h, 5 in increasing order.\nAnswer: -6, -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457 - -452. Which is the third smallest value? (a) -2\/21 (b) y (c) 3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160816 - 5804337 - 1058847 = 40*v. Round v to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -133?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytqt when four letters picked without replacement from {t: 6, q: 1, y: 8}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 181405170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2 = 2*f. Let n = 1.12 - 1.32. What is the second biggest value in 2, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 39. Let l = -6 + 28. What is the smallest common multiple of l and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, s: 3, l: 1, v: 3, f: 8}. Give prob of sequence fz.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/24 + 5*r**3\/3 - 173*r**2\/2 + 127*r. Let p(j) be the first derivative of k(j). Calculate p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 2*q**4 - 2*q**2 + 3*q + 2*q**2 + 0*q**2 in the form a*q**4 + b*q**3 + h*q + t + s*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 3 = 2*y - 3*d, -3*y - 3*d + 90 = 0. What is the first derivative of y - 1623*a + 1623*a - 20*a**2 wrt a?\nAnswer: -40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, n: 10, f: 5}. Give prob of picking 2 n.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -790?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 4404?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*l = 24, -4*v + 4*l + 16 = -0*v. Suppose 3*h + h - v = 0. Solve -h*r + 2 = -4*o, -2*o + 7*o - 2 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 - -221?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2947 + 2951. Solve -3*t - 4*i = -2*i + 8, -i = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63079\/3 - -5971499\/284. Calculate the common denominator of i and -99\/104.\nAnswer: 22152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1465 and 293?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 9471630.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23496 and 17088.\nAnswer: 187968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j - 78*j + 15 = 0. Let a be 208\/360 + (-8)\/10. What is the closest to -2 in a, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614611 + 29827 = -72*g. What are the prime factors of g?\nAnswer: 2, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68563 is divided by 1917?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 556679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 5}. What is prob of sequence qqqk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.39974 - 0.00026. What is the closest to -2 in g, 18, -0.02?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1278*b**2 + 15*b**3 + 6*b**3 - 24*b**3.\nAnswer: -3*b**3 + 1278*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -0.0747651.\nAnswer: -0.002990604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:37 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 6. Let y = 111 + -55. What is the highest common factor of y and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m + 20. Which is the closest to -0.1? (a) -7 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1465 = -5*h, 3*h + 255 = d - 626. Is h > -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5709 + -5643. What is the smallest common multiple of m and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**4 - t**2 + t + 1. Let n(g) = 4*g**4 + g**2 - 4*g - 4. Let c(d) = n(d) + 4*p(d). What is the third derivative of c(s) wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 645 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -30501.5773 to the nearest one hundred.\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -10, 2\/301 in descending order.\nAnswer: 3\/5, 2\/301, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 3. Let x(o) = 1 + 6*o + 25 - 35. Let i be 2\/(-6) + (-46)\/6. Determine i*r(v) - 3*x(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349.29 - -351. Let c = 5.71 - y. Is c <= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100585 rounded to six decimal places?\nAnswer: 0.001006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5304462301 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 4*x - 6. Does 10 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -37, 2188, -3, -4, -1 in increasing order.\nAnswer: -37, -6, -4, -3, -1, 2188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15803687 - 3116*c - 15803687.\nAnswer: -3116*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-198)\/27)\/(4\/(-12)) and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, 0.5, -13\/4, 38?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 11*m - 9. Let p be c(11). Let s(h) = h - 7. Let i be s(p). Let x be i\/(-5) - (-3)\/(-15). Solve -x*u + 4 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29920562 a multiple of 3851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 33*f**2 + 71*f - 27. What is u(-14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*t. Let i be t + 3\/(-9) + 92\/6. Suppose -2*b = -4*b. Solve b*c = 3*c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihqpk. What is prob of picking 1 i and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*w + 18 = 0, -200*s + 205*s + 4*w = 59. Let c(b) = 14*b**2 + 1. Calculate the smallest common multiple of c(-1) and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-427)\/915*5)\/((-7)\/(-114))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -29. Let p = k - -3.9. Let c = -1.8 + -0.2. Put c, p, 4 in descending order.\nAnswer: 4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*w + 120, 0*y + 4*w + 277 = 5*y. Let l = 123 - y. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-45))\/(2*(-3)\/18). Let d be f\/1*(2 + -4). Solve d = h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 3*q - q**3 + 4*q**3 + q**2 in the form m*q + z + n*q**2 + d*q**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:12 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 + 4)) + (-1 + 60 - 18).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 2 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8668602 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 times -15.3?\nAnswer: -1912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*g = 148 + 257. Solve -2 = -g*c - n - 8, 4*n + 16 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1274300191 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -12 - (14 + -1)) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 24*r - 229. Let p be x(-21). Let s = p - -2193. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189793 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u + 5. Let v be n(-1). Let j(x) = -7*x - 33. Let r be j(v). Solve 4*w = 2*h + 3*h, -4*w + r = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*w**3 - 6*w + 14829 wrt w?\nAnswer: 396*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eie when three letters picked without replacement from {g: 6, i: 2, e: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 964*q + 27972. Determine o(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/242 and -35\/176.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9918420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f**3 - 49*f**2 + 33*f + 12. Let d(v) = -5*v**3 - 17*v**2 + 12*v + 4. Let h(n) = -17*d(n) + 6*i(n). Determine h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1839 and 3678.\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1523\/45 - -167\/5. Let z = -106.02 - -106. Are z and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1780*o = -300 - 63780 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105 times 0.25016\nAnswer: -26.2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 11*u + 2. Let n be d(-5). Let f = n - 23. Let b(g) = -g**2 + 9*g + 4. What is the units digit of b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 1. Let s be (-2 - -6 - (2 - 0))\/2. Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 24. Let q(d) = -7*d**2 - 6*d - 6 - d**3 + 5 + 7. Let s be q(-6). Calculate the greatest common factor of s and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 7*n - 3. Let t be k(-6). Suppose r + 5 = t. Let l(m) = 16*m**3 + 7*m**2. Let a(q) = -5*q**3 - 2*q**2. What is r*l(g) - 7*a(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 117. Let l = -60 + g. Let t = 2 - 1.8. Which is the second biggest value? (a) l (b) -5 (c) t (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 5*z + 88*z = -1606 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from mfrbqrqw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157153*b**3 - 241*b + 164037600 wrt b?\nAnswer: 471459*b**2 - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + (-42)\/8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 35*t + 9. Let o(m) = -17*m - 4. Calculate -6*k(a) - 13*o(a).\nAnswer: 11*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, e: 6, w: 4, v: 5}. What is prob of picking 3 j?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m = 22*m + 60 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198.6 - -198.4. What is the closest to 0.2 in o, -4, 44?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 121*u**2 + 996*u - 288. Give s(-112).\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4174372 rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times 12\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 482370 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1166, 2047, 2928, 3809, 4690?\n\"Answer: 881*d + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11130, -22257, -33394, -44547, -55722?\nAnswer: -66925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 + 869*q**2 + 3834*q - 3481. Calculate v(294).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.1, 136, 10868?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 15 + 121*f + 5)*(-1 + 4 - 2).\nAnswer: 121*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k + 20 = 51*k. Suppose -70 = -0*g - 5*g. Let h = k + g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*t = 557*t - 57. Solve -12*q = -t*q + 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (7 - 2) + -10 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130678 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - y - 8. Let o be 4\/(-16)*-2*-14. Is d(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2189091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10472)\/(-49) - -4)\/((-7)\/(-98)).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 4. Let i be w(7). Let c = i - -5. Solve -4*y + c = -8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 13) + (-3 + 1 - (0 - -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -t + j + 4, 0 = 4*t - j - 33. Let f be 7\/(-6) - (-4)\/t. Let s = 0.01 - 2.01. Are s and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 15*y = 120. Let o be (y\/(-42))\/(4\/(-70)). Suppose -o*v - 147 = -13*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*3 - ((sqrt(1377) + 0 - sqrt(17)) + sqrt(17)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -20. Sort -2, -1, t.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1224 and -103\/1649952.\nAnswer: 1649952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 75?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3 - -1 - 0) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 364099480 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.912954 rounded to one dp?\nAnswer: 610.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41742 - -64794. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -154836*m**4 + 217008 wrt m?\nAnswer: -619344*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -93500*y + 200. Let c be x(-8). Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 715, 1028, 535, -1166, -4477?\n\"Answer: -67*w**3 - w**2 + 785*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.059, 1, -2\/11 in descending order.\nAnswer: 1, 0.059, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2486, -179, -1 in descending order.\nAnswer: 1\/5, -1, -179, -2486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - sqrt(76)*-4))\/((-3*sqrt(24))\/sqrt(6)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4.523 times 5\nAnswer: -22.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3675*y**3\/4 + 1143765*y**2\/4 - 65322*y + 3732.\nAnswer: -3*(y - 311)*(35*y - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12080, 12087, 12096, 12107, 12120, 12135?\nAnswer: 12152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9476420 - 20.\nAnswer: -9476440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n + 3. Let v be l(-1). Let x = 677\/15 + -133\/3. Which is the third biggest value? (a) v (b) 0.1 (c) -0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574374 = 210*c - 624726. Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 123*n - 3. Let o(w) = -2*w**2 + 2*w + 1. Let y(p) = i(p) + 3*o(p). Let v(h) = h**2. Give v(y(k)).\nAnswer: k**4 - 234*k**3 + 13689*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 19*b**2 - 2*b + 1. Let t be u(1). Suppose -5*v + 167 - 45 = 2*n, 5*n - 3*v - 305 = 0. Let k = n + t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4157*z**3 - 8364*z**3 + 4196*z**3 - 20*z**2 + (0 + 0 - 2*z)*(2*z + 2*z**2 - 2*z).\nAnswer: -15*z**3 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 55\/6*a**3 - 31\/24*a**4 + 77*a**2 + 0 + 0*a. Find the first derivative of z(f) wrt f.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1430, -2856, -4308, -5798, -7338?\nAnswer: -8940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28665 and 103243.\nAnswer: 60397155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1132967 and 13?\nAnswer: -14728571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -l + 36. Let t be l\/(-3) - 4\/(-3). Let r be (-4)\/(-24)*2 + 70\/t. Solve 6 + 19 = r*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 105 = -99 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 1 + 1 + t. Suppose -45*l = -5*l. What is z(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.03 + -0.03. Let f = -48.99999892 + v. What is f rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 + 24*g = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/10 - 418\/(-55). Let g be (-23)\/(-3) + b\/21. Calculate the highest common factor of 56 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8773*(8 + (4 - 13)). Let p = 280821\/32 + r. Find the common denominator of -71\/144 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -485, -699, -893, -1061, -1197, -1295?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) 2\/23 (c) 19.87 (d) -1\/3 (e) 0.5 (f) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27110 + ((-8)\/(-28))\/((-2)\/(-28)).\nAnswer: 2, 3, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 + (3 - 1))\/(16 - (-5547)\/215 - 41).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 7*x**3 + 201*x wrt x?\nAnswer: 24*x**2 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**4\/72 - h**3\/12 - h**2\/6 - 15*h. Find r such that u(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 12*g - 16. Let o be -5 - (-247)\/(-13) - -12. Determine n(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r*r*r\/r**(-2\/43)*r))\/(r*r\/(r**8\/r))*((r\/(r\/(r*r\/(r\/r**21)))*r*r)\/r)\/(r\/((r*(r*r**(-3\/4))\/r)\/r)) assuming r is positive.\nAnswer: r**(4163\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 24. Suppose -8 = -2*s + 5*h, 4*s + 11 = -2*h + 3. Let c = s - z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 13*r - 29*r + 11*r + 4*x, -2*r + 3*x = 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Find the common denominator of x - (10\/14 - 0) and 12\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - 66\/(-14). Suppose 0 = c + c. Suppose 4*z - 3 - 2 = 3*n, 2*z + 14 = -4*n. Sort c, h, z in increasing order.\nAnswer: z, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 - 155193 + 2*a**4 - 27*a**2 - 2*a**3 + 310397 - 17*a - 155202 as r*a**2 + u*a**4 + t*a + d*a**3 + j and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/166066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2. Suppose 4*y = y + 42. Let h(f) = f**3 - 13*f**2 - 15*f + 15. Let t be h(y). Let b(p) = -2*p - 2 - t + 3. Calculate b(m(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i. Let s(q) = -q**2 - 3*q. Let g(v) = 2*v**2 + 5*v. Let c(d) = 3*g(d) + 5*s(d). Determine k(c(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x - 5. Let h be i(-7). Let v(z) = -7*z**3 - 5*z**2. Let q(y) = 4*y**3 + 3*y**2. Let p be (-4)\/2 - (-3 + 4\/1). What is h*q(w) + p*v(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*l + 2*f**2 + 9*f*l**2 - 2*l**2 - 31 wrt f?\nAnswer: -2*f*l + 4*f + 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -128, 4, -3, 829?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0) + 0 - -4. Suppose 3*k = 4*w + o*k - 21, -5*w = 3*k - 5. Suppose 0 = h - w*h + 30. Solve -q = 2*a + 4, 4*a + 12 + h = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000878734005 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**2 + 363*h + 3049. Determine a(-8).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 720*g**3 - 223*g**2 - 649095*g.\nAnswer: 4320*g - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-4 + 77)) + (1107 - 1085)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 3*l**2 + 6*l - 3. Let q be j(4). Let c = -3 + q. Suppose -c = u - 2*u. Solve 0 = 2*y + 5*o - 24, 0 = 2*y - 5*y + 2*o - u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 12. Let v be (-15)\/(-6)*(-132)\/(-10). Suppose -4*y - 7 = g - 50, 0 = -3*y - g + v. Calculate the lowest common multiple of y and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28348054 to the power of 1\/2, to the nearest integer?\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 892 by 223.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 62. Suppose -p = 2*n - 4*n - y, -2*n + 64 = -4*y. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c - 2*c - 7*c**4 + 3*c**4 + 2*c**4 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724 - 1189. Let v = 483 + x. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + m**2)*(-4*m**2 - 3*m + 3*m**2 + 2*m) + m**4 - 3*m**4 + 0*m**4 + (-m**2 + 3*m**2 - 3*m**2)*(-4*m**2 + 0*m**2 + 3*m**2).\nAnswer: -2*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.041492.\nAnswer: -0.082984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 1.8540822\nAnswer: -1.48326576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*h + 11439, -60291 + 14421 = -4*m - 3*h. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24816 + 8.75184. What is the third biggest value in -0.5, 311, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-3*sqrt(8))*6.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (13 + 2 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 2. Suppose 12*q = 4*q - 120. Let d = -13 - q. Let n(a) = 16*a**2 - a - 11. Determine d*n(t) - 11*m(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**3*u - 8*q**3 - 36*q**2 - 83*u**4 with respect to u.\nAnswer: 5*q**3 - 332*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**32\/((j\/(j*j\/(j*j**(-1))))\/j**(-1\/7)) assuming j is positive.\nAnswer: j**(454\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = 15. Suppose -n*m + 15 = -10*o + 6*o, 4*m - 48 = -4*o. Solve -k - 8 = -4*h - 1, -m = 4*k + 5*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312 + -535. Let x = -223.4 - g. What is the nearest to 0.1 in x, 3, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6064a9 (base 12) to base 16\nAnswer: -16f341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -6 + -2 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 - 13520?\nAnswer: -13593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - -34 - (-2 - 1). Let u = -7 + o. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 2*t)*(4 - 3 + 0) - 9*t + 39*t + 11*t)*(45 - 9 - 12) to l + d*t and give d.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 378 - 687. Let b = p + 368.1. What is b rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.16031?\nAnswer: -0.0032062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024560 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 88*n**2 + 3*n - 1. Let d(s) = -310*s**2 - 10*s + 4. What is 2*d(w) + 7*y(w)?\nAnswer: -4*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-273)*28*63\/14.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.04073 decades to years.\nAnswer: 660.4073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 2*t + 26 - 96 - 5 + 13 to the form a*t + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3170 divided by 39049\nAnswer: -3170\/39049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -51*g + 4200. Calculate the remainder when 610 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.885034075 to five decimal places.\nAnswer: 0.88503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213809.\nAnswer: 17, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -2 - 5)\/((-6)\/104) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2948 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -66. Suppose 0 = -h + c*h + 3. What is the tens digit of h*5 + (-1846)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13908 and 5795.\nAnswer: 69540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**2 - 10*i**3 + 74 - i**2 - 74 wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -47.677?\nAnswer: -143.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11554 - -4?\nAnswer: 11560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.81 - -0.19. Let i = -4.298 + -0.702. What is the third biggest value in 1, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2724*p. Let j(w) = -11*w. What is g(j(h))?\nAnswer: 29964*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + 16 = 4*d, -5*f = -d - 4. Suppose 0 = -d*w + 5*w + 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6550, -3, -1, 1, -5 in descending order.\nAnswer: 6550, 1, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 11*n**2 + 9*n**2 - 19*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by -2?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmgmmllmllllll. Give prob of picking 1 m and 2 l.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 7 + -25 + (-14 + 14 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103102200 + -20?\nAnswer: 1103102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 + -205. Let s be 15\/m*208\/65. What is the highest common factor of s and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6411590.522 to the nearest 100.\nAnswer: -6411600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18309691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -7, -11 in increasing order.\nAnswer: -11, -7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 - 4\/(-2))\/(-2). Suppose 0 = 5*a + 4 - r. Let k(q) = q - 3. Let l(m) = 3 - 5 + 1. Calculate a*k(x) - 5*l(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 52992 = 52937 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -436*n + 3047. Let j be l(7). What is the fifth biggest value in -2, 3, 2, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 590 - -2c99?\nAnswer: 3229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 1. Let z be ((-33)\/(-6))\/((-143)\/(-22) + -1). Calculate m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408.2 times -15653\nAnswer: -6389554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -93. Suppose -r - 19 = -q, 4*r + 38 + w = -q. Let u = r + 21. Is 2\/13 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 3.81?\nAnswer: -14.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*63\/((-2961)\/(-470))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7924 and 5943.\nAnswer: 23772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejejhfefheefhfeh. What is prob of sequence ffe?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2603.10753 milliseconds to days.\nAnswer: 0.000030128559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11675 - -572119\/49. Is v smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -37, -53, -67, -79, -89, -97?\n\"Answer: m**2 - 21*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-810)\/3510 + 1445\/65?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*f + 48*f = 2252 - 181 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 3. Let u(g) = -33*g. Calculate p(u(d)).\nAnswer: -99*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -148, -163, -200, -271, -388, -563, -808, -1135?\n\"Answer: -2*j**3 + j**2 - 4*j - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -5*j + 6*c, 0 = -3*j + 11*c - 12*c + 18 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*a + 1264*a + 31 - 709*a.\nAnswer: -3*a + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 5, c: 2, l: 6, w: 1}. What is prob of picking 2 l?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 115*x - 27. Let q be g(29). Suppose -4*l + 14 = -j, 5*j - 2*j = -3*l + 18. Solve -5*p = j*k - p + 10, -3*p = -q*k + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.28604 millennia in months?\nAnswer: 363432.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:50 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 320*k - 108*k - 107*k - 316*k**2 + 9 - 105*k as y*k + c*k**2 + a and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - 4*sqrt(110)*3) + sqrt(110) + 4*sqrt(110)*-4 + sqrt(110))\/(((sqrt(1210)*2 + sqrt(1210))*-2 + sqrt(1210))*-3).\nAnswer: -8*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 657\/2849?\nAnswer: 657\/2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 + -6 + 6)) + (-34 - -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnx when four letters picked without replacement from xxxxnxnxxxxxxxxxxxxn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 242\/34 - 14\/119.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 1\/20*s**5 - 11\/12*s**4 - 9\/2*s**2 + 0 + 11\/6*s**3 - 15*s. Let o = -37 - -47. Determine y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(4 - 1 - 4)*(-t + t - 3*t**3).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/((-2)\/36) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3. Suppose 0 = 440*z - 437*z - 54. Suppose -6 = -4*x - z. Let t(w) = -2. Determine x*r(g) - 5*t(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (594\/(-12))\/(63\/(-84)). Calculate the highest common factor of n and 2607.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 14*z**2 - z + 1. Let j = -86 + 88. Let b(f) = 8*f - 4*f**2 - 8*f + 5*f**j. Let c(v) = -5*b(v) + g(v). Calculate c(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044063360 by -164.\nAnswer: -6366240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 21. Let i be t(0). Find the first derivative of -7*q**3 + 4*q**2 + i*q**3 + 53 - 2*q**3 - 3*q**3 wrt q.\nAnswer: 27*q**2 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065 - -3.26516?\nAnswer: -3061.73484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 + r**2 + (0 + 0 - r)*(-4*r + 3*r + 0*r) - 4 + r**2 + 4 + (7 - 7 + 2*r**2)*(3 + 0 - 1).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p + 3. Let n be t(3). Solve 3*a + 3*y - 3 = 0, n*y + 27 = 2*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 281 + -294 + (-1 - (-6 - 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*t + 5*s + 25 = 0, 4*t = 4*s + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093466 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lweg when four letters picked without replacement from xxlwlpegw?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8462163?\nAnswer: 3, 19, 31, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -239? (a) 3 (b) -2\/9 (c) -6 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**3 + 0*g**4 + 3\/2*g**2 + 0 + 0*g**5 + 1\/10*g**6 - g. Differentiate x(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62964 and 1732368.\nAnswer: 826339536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(44)\/sqrt(4) + sqrt(11) - (3*(1 + sqrt(11)))**2) + (sqrt(704) + (2*sqrt(704) - sqrt(704))*-5)**2*-5.\nAnswer: -56426 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Let o = -4 + j. Let p = -648.35 - -648.3. Which is the second smallest value? (a) p (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/1992)\/(18\/(-16))*(-84)\/28?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Let l(k) = -k + k + c*k + 1 - 5*k. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(8\/66))\/((-147)\/13328). Suppose -6*b - 88 + w = 0. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-34)\/(-4))\/((-1)\/6). Let h be 10\/p - 76\/18. Let z = h - -7. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040505 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 67959576?\nAnswer: 747555336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from {n: 1, u: 3, x: 1, l: 1, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:54 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -421, -441, -461?\n\"Answer: -20*q - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 1. Let w = 1414 - 1413.5. Sort -2, w, g, -2\/3 in increasing order.\nAnswer: -2, -2\/3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10100*l. Let r(z) = -2*z**2 - 52*z. Give o(r(s)).\nAnswer: -20200*s**2 - 525200*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 15 + m - 2*m**4 + m + 22 - m**3 - 73 + 13 to y*m**3 + s*m + x*m**4 + u + n*m**2 and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 3 - 15 - 14 + 32 - 32. Give j(27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2734 (b) -1\/5 (c) 1\/4 (d) -1\/4 (e) -0.102 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**2 - 4084*y - 139485.\nAnswer: -(y + 547)*(7*y + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15949419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 8823 - 1279 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 33*a - 52 + 99 + 42*a.\nAnswer: 75*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 + 214. Let s = -69 + w. What is the remainder when 20 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6956 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008669 to four dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -443, -1679, -3747, -6647, -10379, -14943?\n\"Answer: -416*z**2 + 12*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 3*z**2 + 2*z**2 + 8*z + 10*z - 26. Let x be r(11). Solve -3*p - 2*k = -2, 5*p + 2 = -5*k + x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let r(x) = -8*x + 7*x + 3 - 2. Let f(s) = 2. Let m(b) = -f(b) - 2*r(b). Let t(k) = k**3 + k**2 - 4*k + 8. Let p be t(-3). Determine p*h(d) + m(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332321.\nAnswer: 11, 30211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209846 is divided by 317?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-3*k + k - 2*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-10)\/(-1120)*(-69)\/23.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 - b**3\/3 - 60*b**2 - 7*b. Let w be g(0). Let x = w - -125. Solve x*o - 3*n + 5*n + 5 = 0, -2*o + n = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -798863*m**3\/2 + 860145*m**2 - 462882*m - 196.\nAnswer: -(13*m - 14)**2*(4727*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1739.\nAnswer: -1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 87*(-3)\/(-9) - -4. Let l be (-376)\/(-20)*(-45)\/(-18). Let b = h + l. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22541609 from 0.04.\nAnswer: -22541608.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 12\/25*a**5 + 0*a + 1\/10*a**6 - 9\/20*a**4 - 27 - 14\/5*a**3 - 12\/5*a**2. What is u in f(u) = 0?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000381 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w = 360*w + 13064 + 25712 + 7094 for w.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244006951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**3 + 6 - 3 - 3)*(c**2 - 20*c**2 + 8*c**2).\nAnswer: 187*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 - 7*p**3\/3 - p**2\/2 + 12*p + 1142. Give q(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + ((-540)\/(-5) - 4). Let s = d - 107. Which is bigger: s or -5\/42?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 2, q: 1, m: 1, p: 2, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 10, 7 in ascending order.\nAnswer: -0.1, 3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(1152) - (sqrt(1152) + 1)) - sqrt(1152)) + (sqrt(1152) + sqrt(1152)*-2 + 5 - (sqrt(1152) - (sqrt(1152) + 1 + sqrt(1152))*-1)) + -4)**2.\nAnswer: -1008*sqrt(2) + 56457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let b(t) = -2*t**2 - 7. Calculate n(b(w)).\nAnswer: 2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -4.28.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -5*f - 2*c, 2*f + 2*c + 46 = 164. Let x = 246 + f. Is 38 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + a**2 + a - 6. Let o(k) = -k**2 - k + 1. Let s be (-2)\/((-42)\/(-15)) + (-26)\/91. Give s*o(z) - f(z).\nAnswer: 2*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**6 - 23*z**4 - 6*z**3 + 25156*z**2 wrt z.\nAnswer: -240*z**3 - 552*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 140*o**2 - 10718*o - 1339. Give u(195).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1549404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 196, 190, 180, 166, 148?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258125 is divided by 171?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.02 (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + 0.5. Let i = l - -1.8. Which is the third biggest value? (a) i (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2 - p - 1. Let a(x) = 581*x**2 + 77*x + 77. Determine 6*a(y) + 462*k(y).\nAnswer: -210*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:04 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 8, b: 3, w: 4}. What is prob of sequence cyw?\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991*l + 3869*l - 1452*l - 1512*l.\nAnswer: -86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - 558\/81) + 14)*30\/8?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 8, d: 4, t: 2}. Give prob of picking 4 d.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 15*q. Let k(w) = 556*w**2. Calculate i(k(u)).\nAnswer: 8340*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 7478 + 14*v**2 + v**2 - 7478.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -16. Let s be (4\/l)\/(2\/10). Let v(y) = -y**3 - 4*y**2 - 3. Let x(w) be the first derivative of w**3\/3 + w + 3969. Determine s*x(q) - v(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a factor of 133055717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2\/(-1820))*(-83)\/(-166). Suppose -j*c + 453*c - 182 = 0. Is -90 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)*u)**(-2\/75)\/(u**1*u**(-2\/7)))**(-2\/55))**30 assuming u is positive.\nAnswer: u**(60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.66, 2\/13, 12.8 in decreasing order.\nAnswer: 12.8, 3.66, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3) + (-399)\/(-441). Which is the biggest value? (a) -2 (b) -5 (c) -0.6 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 99\/6 - (-54)\/(-36). What is the closest to -0.5 in w, 4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -2*m. Suppose y - 49 = -3*d + 178, y = -7. What is the least common multiple of d and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690757 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34 + 5*d**2 + 255*d**3 + 144 + 14*d**4 - 255*d**3 wrt d.\nAnswer: 56*d**3 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -419, -676, -1185, -2030, -3295, -5064?\nAnswer: -7421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 52407 divided by -2\nAnswer: -52407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + -5*sqrt(637)*-1*-2)*6*-3 + 0)**2.\nAnswer: 226800*sqrt(13) + 103195620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 2. Let y be x(2). Let v be (24\/14)\/(y\/(-28)). Let u(z) = z**2 + 3*z - 9. What is the units digit of u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 2091 + 6*n - 2091.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)\/v*v**2*v**(-1\/4)\/(v*v**2) assuming v is positive.\nAnswer: v**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v - 3*v + (-1 + 0 - 1)*(1415*v - 1026*v + 10 + 2986*v) - 1 + 1 - 2*v.\nAnswer: -6754*v - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 393 + -388. Let s = -5 - -1. Let l be (s\/(-5))\/((-8)\/60). Sort 1, l, i in descending order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819 + 9409 + 1272 = -115*w for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 174\/15 - (10 + -3 + (-148)\/20). Let z(a) = -a**2 + 14*a + 7. Determine z(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from vvtggvwwwvvvvtwvg.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2820, -11305, -25452, -45255, -70708, -101805, -138540?\nAnswer: -180907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by -1215118.\nAnswer: 77\/607559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 3*j + 2. Let i = -18 - -19. Let r be g(i). Let m = r + 0. Is m at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-4))))\/(t\/t**2))**20\/(t\/(t\/(t*t**(2\/11)))*t**(-5))**(-2\/25) assuming t is positive.\nAnswer: t**(-11084\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/4 - p**3\/6 - p**2\/2 - 2*p. Let r be a(-1). Suppose -3*t + 401 = 5*d, 0 = -r*d - 4*t + 111 + 134. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1065)\/14200 + 3\/(-10)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 1 + 0 + -1. Let g be 42\/15 + 5\/25. Suppose -g*v + 7*v - 4 = 0. Solve 5*h = -d - v, 0*d = -5*d + z*h - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((4\/14)\/2). What are the prime factors of ((-28)\/a)\/((-1)\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/336732 and -47\/45918.\nAnswer: 1010196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 2 - (218 - 207)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -2.3 = 0.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c + 3*c - 3*c**2 - 5 + 18*c**2. Is t(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -133, -283, -447, -631, -841?\n\"Answer: -p**3 - p**2 - 140*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/28 - (-27)\/(-18). Is -4 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.06 + 0.06. Let y = r - -13. Let q = y - 9. What is the second smallest value in -2\/13, 3, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:14 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -20*t**5 - 75*t**4 + 60*t**3 + 230*t**2 - 240*t + 45 = 0?\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*b - 189174, 4*b + 13*f = 18*f + 151347. What are the prime factors of b?\nAnswer: 3, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 - 10*h + 8. Let p(n) = n**2 + n - 1. Let j(f) = -k(f) - 4*p(f). Suppose 0 = -0*r + 3*r + 24. What are the prime factors of j(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 2*w. What is q(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43920 (base 11) in base 9?\nAnswer: -106302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 717 + -714. Suppose -4*h + f = -0*f - 19, 0 = -3*h - 4*f. Is (n + -2)\/(h\/1324) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142534 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let s be 1\/((-3)\/(-11)) - (-4)\/(-6). Suppose 0*y = y - s, -25 = -2*r - 3*y. Which is the biggest value? (a) -4\/7 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229658 divided by 8833?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-10) + 2)\/((-3)\/30). Let a = b + -24. Let x(r) = r**3 + 16*r**2 - r + 28. Does 11 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 21*p + 15. Let b(u) = 3*u - 13. Let s be b(-3). Let x be a(s). Calculate the common denominator of 2970\/336 - 2\/x and -37\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*s + 3. Let l(q) = -q**2 + 6*q + 9. Let c be l(7). Let p = c + s. Sort -2, p, -1.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/65 - 556\/(-10) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4383202826297.780121 - -4383424455463.78. Let l = x - 221629015. Let a = -151 + l. Round a to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8075*x - 80105. What is r(-10)?\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 856. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1453, -1412, -1371, -1330?\n\"Answer: 41*g - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*h**3*r**2 + 2*h**3*r + 38*h**3 - h**2*r + 6*h*r**2 - 60 wrt h.\nAnswer: 132*r**2 + 12*r + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -61*d**3 + 12*d**2 - 24*d - 35. Let f be u(-1). Solve 5*z - f*l + 30 = -66*l, -3*z + 4*l = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2846*b + 3. Let w(r) = 2846*r - 3. Let u(z) = -z**3 + z**2 + 6*z + 3. Let c be u(3). Let j(n) = c*w(n) + 2*p(n). Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777252164.\nAnswer: 2, 13, 1483, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w**4 - 5*w**3 - 7*w. Let b(o) = -o**4 + o**3. Let a be (5\/10)\/((-2)\/(-20)). Let z(k) = a*b(k) + y(k). What is the second derivative of z(j) wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = i - 11283, v + 3772 = 4*i. What is the remainder when 6\/(-45) - v\/75 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + -70?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 230. What is the remainder when q is divided by 23 - (-12)\/(13 + -11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 499*d + 4. Let m(u) = -8*u + 1. Give 6*m(b) - n(b).\nAnswer: -547*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-2)*20\/7. List the prime factors of 15\/n + 47\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1957 = 9*b + 10*b. Let u = b + -103. Sort 1, u, 4, -1.\nAnswer: -1, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-126)\/(-4) - 0)*(-2)\/(-3). Suppose 25*j - 28 = t*j. Sort -3, 0, j, -5 in descending order.\nAnswer: j, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2062380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -29. Let s = 40 - y. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 320730 - -1?\nAnswer: 320731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/400)\/(16\/((-1120)\/(-15))*(-1)\/3)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 4, j: 2, s: 3}. Give prob of picking 2 s and 1 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5 - 134*g**4 - 6033*g**3 - 109672*g**2 - 646016*g + 761856 = 0.\nAnswer: -64, -31, -24, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -32. Let l = f - 29. Solve 0 = -l*y + 4*w + 17, 3*w = 2*w - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*a - 127*a - 68*a.\nAnswer: -666*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9 + 6 + 50*w + 2. Is k(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4347348 decades?\nAnswer: 0.04347348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100000011000 + 1?\nAnswer: 110100000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - -5. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -14. Let y be -4*(g*-3 - (-72)\/32). Solve 6*r = y*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/7 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c + 10 = 0. Let h be c\/(-6) + 20\/3. Suppose u = -w + 5, -3*w = 6*u - h*u + 13. Calculate the highest common factor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 4\/152)\/(77\/(-28) - -3). Solve -4\/19*f + 2\/19*f**2 + 0 + d*f**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.212 - -0.082. Let c = x + 0.130000244. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((2 - 33\/7) + (-105)\/(-147)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*w + 62 - 461 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*j - 12 + 3, -1 = -r. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 + 149 = 47*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 12 (b) -103 (c) -7\/4 (d) 81 (e) 0.3 (f) 1 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311960938 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591655*b = 591214*b + 25137 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 880, -1331, -3542, -5753?\nAnswer: -7964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6496082, 6496076, 6496070?\n\"Answer: -6*g + 6496088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n + 6*n + 3*n - 3*n + 5*n + 9*n + 17.\nAnswer: -2*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-4*2\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -68784918\nAnswer: 137569836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 3?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 36*b**2 + 5905*b + 269. Determine k(-164).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = -3*i - 12*t, -14 = -i - 4*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 11. Let i be h(6). Let t = -7 + 17. Suppose 7*v + t = 2*v. Which is the biggest value? (a) v (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5176631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 bigger than 1790\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 7197376.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/20 - b**4\/12 - 7*b**3\/3 - 23*b**2. Let q be z(-10). Let y = q + 694. Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 64*n - 80. Give c(-33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7313110 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 116449566 to the power of 1\/2, to the nearest integer?\nAnswer: 10791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y + 15. Let x be c(4). What is the tens digit of (-36*x)\/(-4) - (2 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jcdaxaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 15) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -870, -128, 612, 1350, 2086, 2820?\n\"Answer: -z**2 + 745*z - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33053 - 14?\nAnswer: 33036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 9*z = -15. Suppose -4*n + n - 42 = 0. Let d be (-2)\/(9 - 7) + n\/(-8). Put -0.2, -3\/2, z, d in decreasing order.\nAnswer: z, d, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 0 + (-172)\/(-20) + -7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/11, -3, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -691*v**2 + 2432 wrt v?\nAnswer: -1382*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109525 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-8) - (-2)\/(-4). Let o(w) be the second derivative of 0 + 1\/6*w**3 + 2*w - j*w**2. Calculate o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 + 1 + 18*i**2 + 3*i**3 - 22*i**2 in the form a*i**2 + y*i**3 + b + d*i and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + 101111011101110100101111?\nAnswer: 101111011101110101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-6)\/p)\/(p*p**4))\/((p**(2\/7)\/p*p)\/p)**(-2\/31))\/((p**0\/p)**(1\/30)\/(((p*p**(-2\/9))\/p)\/(p**0*p))) assuming p is positive.\nAnswer: p**(-258479\/19530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-4*(sqrt(1088) + sqrt(1088) + 4 + (sqrt(1088) - sqrt(1088)*2)) - -3*(sqrt(1088) + 2*(sqrt(1088)*2 - sqrt(1088)))*5) + -5)**2.\nAnswer: -34000*sqrt(17) + 687225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 + (-5)\/(-25). Suppose -a = -u*a. Suppose a = -3*b + 5*b - 8. Put 2, b, 5 in descending order.\nAnswer: 5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796 - 2891 = 588*a + 4961 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3.4 (c) 1118 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1245 + 38574\/31. Let z = 1848\/155 - l. What is the common denominator of z and -1 - -1 - (-57)\/21?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10552521 + -201?\nAnswer: 10552320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 339*r - 425*r - 347*r - 134*r to i*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14456, 57343, 128822, 228893, 357556?\nAnswer: 514811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786367 divided by 1?\nAnswer: 1786367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 11*x**2 - 15*x - 24. Let n be z(-12). Find the common denominator of 43 and 63\/35 + (-3)\/n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(9) - sqrt(17)) + -2 + 3)**2*3 - (5*(sqrt(68) - (0 + sqrt(68)))**2 + -1*-1*sqrt(68)).\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4) + 1 + 165\/6. Solve -13*l = -u + 40 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/18 + 2*s**3\/9 - 8*s\/9 - 1. Factor g(c).\nAnswer: 2*(c - 1)*(c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/4)*d\/(d*d**10))**(-17) assuming d is positive.\nAnswer: d**(731\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 914 + -919. Suppose 3*r - 3*v = -3, -6*v = r - v + 13. Put r, -4, l in ascending order.\nAnswer: l, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001820273131 rounded to six dps?\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -51*k**2 - 10*k. Let g(f) = -49*f**2 - 11*f. Determine 4*g(l) - 3*x(l).\nAnswer: -43*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millisecond in microseconds?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (42\/56)\/(((-18)\/(-120))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037718 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine fifths of a tonne?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 5*g**2)*(0*g + g + 0*g) + (-1 - 2 + 5)*(g**3 - 2*g**3 + 0*g**3) + 3*g**3 + g**3 - 5*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o - o. Let x be 0*(-1 + 0\/3). Let j(c) = 0*c + c + x*c. Give g(j(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -925*c**2 - 1265*c wrt c?\nAnswer: -1850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 19, 4, -17?\n\"Answer: -3*i**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + -18 + 87 - 4) + -90?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -137, -588, -1\/4, 0.3 in descending order.\nAnswer: 1\/3, 0.3, -1\/4, -137, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 934 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 21798020.\nAnswer: -21798023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/13)\/y*y\/((y*y\/y**(-13))\/y))**(23\/2) assuming y is positive.\nAnswer: y**(-4117\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 201200 (base 3) in base 14?\nAnswer: 29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -822*a**5 + 9287*a**3 + 70725*a**2 - a - 11?\nAnswer: -49320*a**2 + 55722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 500*d**3*f**2 - 2361*d**3 + 91*d**2*f**2 - 9 wrt f.\nAnswer: 1000*d**3*f + 182*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -3 - (-1 - (-2 + 37)). Suppose 3*g - k - 54 = 0. Calculate the greatest common factor of 319 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-2701)\/666)\/((-2)\/(-6)). What is the closest to -0.2 in -3\/8, p, -127\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 9*q**2\/2 - 21*q - 151. Let f be j(10). What is the highest common divisor of 92 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae544 - -70d?\nAnswer: -add36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b. Let p(o) = o**2 + 7366439. Give p(n(d)).\nAnswer: 36*d**2 + 7366439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50811 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 15*h - 7*h**2)*((3 + 5 - 6)*(5 - 6*h - 5) + 4 - 2*h - 4).\nAnswer: 98*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 3*k - 2. Let w be n(0). Let r be w + ((-15)\/3)\/(-1). Solve -s + 29 = 5*o, r*o + 6*s = s + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -24. Suppose 5*j = -2*h + 10, g = -h + 2*j - 4 - 0. Solve -4*n + 20 = -h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 3*r - 12. Let i be x(5). Let u = i + 413\/2. Let y = -180 + 2161\/12. Sort u, -5, y in increasing order.\nAnswer: -5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2367255 (base 11) to base 5\nAnswer: 2023424430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3708835.131 rounded to the nearest 10000?\nAnswer: -3710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0)*(340*t - 827*t + 406*t).\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 9 + 31. Solve 3*t + c*w + 1 = 7*w, 0 = 3*t + w - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.9608846 to 0 dps.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8045*f. Let d(m) = 1153*m - 1. Calculate p(d(a)).\nAnswer: 9275885*a - 8045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50995\/284 - -120\/71. Let s = 180 - d. Which is the closest to 0.1? (a) 3 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/427 + 421\/1281. Which is the closest to 1? (a) -8 (b) 5 (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501754 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67174762 to the power of 1\/2, to the nearest integer?\nAnswer: 8196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498775688?\nAnswer: 2, 3, 229, 90901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose v = l + 1396564 + 1184067. Let f = l - -5180631. What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 248 + 262 = -3*k, -5*k = -6*y + 18 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 239, 241, 243, 245, 247?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -12. Let r be 4\/(-30) - (1336\/(-120) + 1). Suppose 0 = 17*p - r*p - 14. Solve -p*d + t = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 2, p: 2, d: 3}. Give prob of sequence epe.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.4 (c) 187 (d) 5.975\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -14, -0.4, -183, -0.376?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -6. Let v = -8 + h. What is the smallest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.804 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 1. Suppose -46 = -3*s - 5*l, 5*s + 0*s = -2*l + 83. Suppose 3*k + 5 - s = 0, -2*q = -k + 4. Suppose -3*a - 5 - 1 = q. Give g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 - 825056*v**3 + v**2 + 825056*v = 0.\nAnswer: -825056, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 4. Let u be ((-1808)\/(-5650))\/(14\/175). Let r(l) = 0 - 4 + 5. Suppose -z + 5 = 4*z. What is u*r(i) + z*b(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 40.8 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135464602 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((-9)\/3 - -2) + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-16) + (-196)\/(-16). Suppose 2*r = 4*a - c, 5*r + 3*a - 18 = a. Solve 1 + r = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 226145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287686 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.24925 + -0.85.\nAnswer: 2.39925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 388594177 to the power of 1\/2, to the nearest integer?\nAnswer: 19713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -219, -430, -641?\n\"Answer: -211*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1121\/144 + 71\/9. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 2 - 7) + -20 - -65?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 6*r - 6. Let l be h(-7). Suppose -4*s + 2*g = 26, -g + 2*g = -s + l. Sort s, 4, -3 in increasing order.\nAnswer: s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen quarters of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7175830 or 7175831?\nAnswer: 7175831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 157734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.032 (c) -0.2 (d) -0.13 (e) 313 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 35625\nAnswer: 1\/11875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6 - 6 - 4*q + 21 - 4 - 6. Let z(m) = -9*m - 2. Determine 13*l(t) - 6*z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8\/7 (b) 3\/5 (c) 4.7 (d) -125 (e) 2 (f) 216\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - -1101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -794650 divided by -1?\nAnswer: 794650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 15 = 17*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbv when three letters picked without replacement from {p: 1, b: 2, j: 1, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 26. Let s(n) = 43*n - 69*n + 26*n + 2*n**2. What is s(b(o))?\nAnswer: 8*o**4 - 208*o**2 + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2 + 0))\/(-5). Which is the closest to -1? (a) 1.5 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-52)\/(-8))\/13)\/((-1)\/(-4)). Find j, given that 0*j - 24*j + 2 + 6*j**y - 8*j - 26 = 0.\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 - -107. Is b a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 1. Let c be g(2). Let f = 15 + c. Solve 0 = 5*i - 5*v + 20, -3*v + 16 = -f*i + 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3757374 greater than or equal to -3757363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c22 - 1?\nAnswer: c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 10*b**2 - 3*b - 14. Calculate the lowest common multiple of w(-10) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 4644\/(-480) - 6\/(-48))*-12.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0 + 0)*(46 + 33 + 64).\nAnswer: -286*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -1.8. Let g = -6 - -11. Let h = g - 6. Is h > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -16. Suppose -35 = -4*o + d. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + 17 + 5*n - 4*n + 4*n - 2*n**2 + 3*n. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-33)*275\/(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 + 9 = 0. Suppose 6*u - m*u = 6, -2*i + 5*u + 4 = 0. Solve i*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 times -4?\nAnswer: -9740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 51*h**2 - 446*h - 6311. Calculate j(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.7 - 103.9. Let a = 186.64074 + c. What is a rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let i = -115908\/5 + 23181. Which is the nearest to v? (a) 13 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 4. Let p be y(-3). Let x(v) = -2*v + 2 - 7*v + 14*v - 1 - 2. Calculate x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -3*w + 4*w + 4*y, -5*w + 915 = -5*y. Suppose -4*r = -4*m + 224, 3*r + 0*m + w = -2*m. Let z = r + 118. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 6867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496261 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36767517877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7212a (base 13) to base 3\nAnswer: -101101120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k + l, 0 = -5*l + 4*l. Suppose 4*w = -8, -j + 10 = -2*w + 3. Solve 0 = -5*m + k*m + 4*x - 15, -j*x = -m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110011 (base 2) in base 14?\nAnswer: -3bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22300 is divided by 354.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -815 - -842.985. Let n = -0.015 - q. Let u = n + 28.19. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o**3 - 42*o**3 - 29*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -661010.8381 + 660969. Round a to 1 dp.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 7)\/((-14)\/(-49)). Suppose -c - 25 + 277 = 0. Calculate the greatest common factor of c and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3703500 divided by -1646.\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36659 is divided by 212.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 300*c + 32. Let f(o) = 151*o + 15. Determine 13*f(i) - 6*u(i).\nAnswer: 163*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = 745 + 1280. What is the first derivative of -l*k + 3 + 16*k**2 - 50 + 74*k wrt k?\nAnswer: 32*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 12*u**2 + u + 16. Let r be v(-12). Suppose -5*k + 5*y + 6270 = 0, 15*k - 4984 = 11*k - r*y. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -7. Let u(d) = d**3 + 7*d**2 - 8*d + 2. Let a be u(g). Solve -2*n = -4*t - a, -3*n - 2*n = 2*t + 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1\/6, -34, -5, 60.5?\nAnswer: 60.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 42?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442032 - 11795536 = -164*b + 84676900. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 = 14. Suppose -t*g + 5*g = -102. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585490*z + 0 + 585436*z - 2 - 1171007*z.\nAnswer: -81*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -73. Let o = -49186 - -49224. What is the remainder when b is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8406*u + 1380*u + 3925*u + 81*u - 1706*u in the form i + p*u and give p.\nAnswer: 12086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 15*i + 126 = 0. Let c(x) be the second derivative of -i*x + 0*x**2 + 0 + 17\/6*x**3. Let l(h) = h**2. Determine c(l(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - g + 5*g)*((3*g - 5*g - 2*g)*(1 - 2 - 1) + 0*g - g + 1 + 3*g) to u*g**2 + z + o*g and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17014 - 98.\nAnswer: -17112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 34. What is the lowest common multiple of (2 - 6)*10\/(-4) and u(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201223021 (base 4) in base 11?\nAnswer: 946a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3990 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6))**(-4\/7)\/(w*w\/(w\/w**(-5\/3)*w))**(5\/7))**(3\/14) assuming w is positive.\nAnswer: w**(23\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 127212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -558a65 (base 15) to base 6.\nAnswer: -223233505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11.66 (b) 2\/3 (c) 2\/11 (d) 4 (e) -5 (f) -14 (g) -45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 6*z - 5. Suppose 5*d - 12 = 8*d. Let b be l(d). Suppose -k = 2*u - 4*u + b, 0 = -2*u - 2*k + 68. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/408 and 41\/1411.\nAnswer: 33864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n + 472 = -8. Solve 12*y = n - 53 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 36. Let f = 21172 - 21175.9956. Let r = f - p. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = j - 3*d + 48, -j = -d - 231. Let z = -228 + j. Solve 2*x - 4*x - 14 = -m, x = z*m - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121296 and 28816464?\nAnswer: 201715248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-25)\/50*(-865)\/2520 and 113\/48?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675 + 1688 = -23*a - 79*a - 391 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 + 3*a**2 + 2*a + 3. Let k be x(-6). Is (-2)\/(k\/(-2)) - -3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 0.73, -4, -41.\nAnswer: -41, -4, 0.73, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 23, -109, -4, 25, -3, 4.\nAnswer: -109, -23, -4, -3, 4, 23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.5 times 4480?\nAnswer: 445760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -20.9979. Round r to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - o**3 + o**2 + 22. Solve x(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/280*8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/3 - 162326*m\/3 - 162325\/3 = 0. What is m?\nAnswer: -162325, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2944\/12 - (-2)\/(-6). Let w = -137 - -142. Suppose 5*q - 4*b + 2*b - 251 = 0, 5*q - w*b - i = 0. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 37885712?\nAnswer: 416742832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50912381347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:20 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 - 1 = 4*s, 0 = 5*u - s + 1. Suppose -2*n - 3*g + 19 = u, 4*g - 9 = 3*n + 5. Factor 0 + 2\/9*y**n + 2\/9*y.\nAnswer: 2*y*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*(-11606)\/(-429422).\nAnswer: -1\/222","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/423899301 - 2390973728681\/18651569244. Let g be 220\/(49\/28 + 0). Let h = g + u. Find the common denominator of -31\/36 and h.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = 3*c, -c + 39 = 3*g. Calculate the remainder when (5\/(-4))\/(2\/(-40)) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 7 (d) -36.7 (e) -3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36055342 to the nearest integer?\nAnswer: 6005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 343336558.\nAnswer: 343336557.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1121274 and 213576?\nAnswer: 4485096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fns when three letters picked without replacement from {m: 2, c: 6, n: 3, f: 3, s: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393*x = 5281*x - 412128 for x.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4359000 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/5094 and 13\/1616496.\nAnswer: 4849488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4880 and 119\/800.\nAnswer: 48800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t + 10. Suppose -55 = -5*v - 5*c, -5 = -3*v + 4*c - 0. Suppose -v*j - 37 - 5 = 0. Let q be r(j). Solve 3*s = -s + q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6122828 is divided by 222?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -437, -436, -435, -434?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i. Let h(p) = 85*p**2. Let o(u) = -u**2. Suppose 2*b - 14 = 3*f + f, b - 5*f = 16. Let y(q) = b*h(q) + 68*o(q). Give d(y(g)).\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 15 = 5*a. Suppose -a*c = m - 16, -4*c - c + 16 = -m. Let b be (1 - 0)\/(c - 5). Let i(w) = 3*w**3 + w**2 - 1. What is i(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22096146 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -944.7 take away -6?\nAnswer: -938.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -20. Let c = 7.99988 + y. What is c rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, -3, -1, 9\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a + a + 2*a - a - 3 + 3 - 2*a - 3*a + 4*a + (0*a - 2*a + a)*(4 + 2 - 4) + 21*a - 286 + 286 + (2*a - 6*a + 2*a)*(1 - 7 + 2) - 3 + a + 3.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 351883 divided by 20699\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-16) + (-360258)\/23280. Suppose 220 = -5*s - 0*s. Let i = 29 + s. Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -136*z - 2. Let l(p) = 338*p. Let b(n) = 48*n. Let o(k) = -56*b(k) + 8*l(k). Determine o(w(s)).\nAnswer: -2176*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22984, 9280, -13554, -45512, -86588, -136776?\nAnswer: -196070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -71026 divided by -3\nAnswer: 71026\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(28)*2)**2 + -4)*-2 + ((3*1*sqrt(1008))**2 - (-1*sqrt(1008) + -1))*6.\nAnswer: 72*sqrt(7) + 52430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 7. Let b be x(-10). Determine g so that -6 - g**3 + 5*g**b + 0*g**3 - g**3 - 9*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3972 - -3971. Suppose 0 = 3*m, -2*m - 9 = -4*k + 3. Sort c, 1\/4, k, 1 in ascending order.\nAnswer: c, 1\/4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 5) to base 8.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7152.529 + -7139. Let w = -12.64 + p. Round w to 2 dps.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3591941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 38*h - 5.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 5*k - 8. Determine g(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(162) + -1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 5. Suppose -16325 = 5*b + u*k, 5*k - 1356 = 2*b + 5139. Does 10 divide (-1)\/(-8) + b\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times -40\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*n + 23. Let c(d) = 2*d**2 + d - 2. Let o be c(-2). Suppose 6 = o*p - p. Calculate the greatest common divisor of p and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = -12, u - 2*i = 8. Suppose 5*k - 130 = s + 4*s, -k + 3*s + 18 = u. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24796*m**5 + 15706*m**2.\nAnswer: 1487760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37241.5 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/330 and -2\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/7 - 17512168*c\/7 + 87560790\/7 = 0.\nAnswer: 5, 8756079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1015 and 385?\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 10795728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*i**13)*i)))\/(i*(i\/(i*(i*i**(2\/3)\/i)\/i))\/i*i*i))\/(i**19*(i\/(i*i*i\/(i\/i**(5\/3))))\/i) assuming i is positive.\nAnswer: i**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*d - 20, 2*d - 14 = -v - 2*v. Suppose 0 = 2*s + s. Solve v*n - n = s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 319372939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 2:09 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/17 bigger than -24361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3039 - 132.5961. Let q = 121 + x. Let s = -11.8999906 - q. Round s to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1503 + 3?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 3, t: 1, l: 4, h: 1}. Give prob of picking 1 t, 1 l, and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - 0.71. Let s = c - 6.54. Let z be 57\/(-51) - -2 - 1. What is the biggest value in z, s, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-4 - -3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209\/7 + 30. Let h = -39.7 + 41.7. Sort h, v, -1\/5 in descending order.\nAnswer: h, v, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*l**5 - 20463*l**3 + l**2 - 16398*l - 6.\nAnswer: 280*l**3 - 122778*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.46. Let b = 0.01 + d. What is b rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-4)\/8*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5 - 24. Let g = k + 48. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -792*r - 7919. Give p(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**3 + 1316*z**2 - 1308*z - 7. What is h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**7\/420 + p**5\/20 + p**4\/6 - 3*p**3\/2 - 9*p**2. Let o(y) be the first derivative of b(y). Let o(i) = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 733\/588 + 1\/294. Let z = -8.7 - -8. Let y = -0.7 - z. Which is the closest to -0.1? (a) y (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-30)*(-3)\/((-6)\/(-10)). Let r = g + 27. What is the nearest to 9 in r, -2, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -702 - -702. Let q(g) be the third derivative of 0*g + 1\/90*g**6 - 6*g**2 + f*g**3 + 1\/18*g**4 + 0 - 2\/27*g**5. Suppose q(i) = 0. What is i?\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Let w = -37.05 + 0.05. Let q = w + 36.7. What is the second smallest value in c, q, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 391032.1 hours?\nAnswer: 1407715560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*x + 144, -4*w - x + 138 = w. Suppose -2*v = v - w. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - p)*(-3*p**3 - 8*p**3 - 67*p**3) in the form x + y*p**2 + o*p**4 + q*p**3 + w*p and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62799396284435377 + -62799396610520201.01700633. Let q = 326086397.017 + r. Let o = q - 1573. What is o rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317056?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b + 4*v + 12, -4*v = -3*b + 28. Suppose 13 = -b*h + 5. What is the units digit of h*(0 - (-22)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19081 - -19086. Let a(q) = -294*q**2 + 18*q + 18. Let k(v) = -84*v**2 + 5*v + 5. Give h*a(i) - 18*k(i).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, e: 2, m: 5, r: 1, o: 1}. What is prob of picking 1 m, 1 d, and 2 e?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wccxxvle. What is prob of picking 1 c and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 12 = -26*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.448 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 20 - 10. Let z(x) = -24 + 6 + 4 - 5 + y*x. Let u be z(6). Sort 3, -2, u in ascending order.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 1\/4 (c) 0.5 (d) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/10920 and 167\/787500?\nAnswer: 20475000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-551)*1\/(-5). Let p = 98\/285 + z. Determine g, given that -2\/3*g + 0 + p*g**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, -13, -4, 0.07, 3, -3\/20, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5767 + -9.4285. Let v = z + 13. Round v to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18731, -37473, -56217, -74963, -93711?\nAnswer: -112461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (79 - 52) + -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 4 = 16*f + 18*f - 403 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11027 and 11.\nAnswer: 121297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - (-10 + 12)) + -8. Let v(g) = 2 + 3*g**2 + g**3 + 10 + 2*g - 9*g. Does 12 divide v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3450)\/9)\/5*30\/(-25). Let l(v) = -64 + 3*v + 21 - 9*v. Let t be l(-11). Calculate the greatest common factor of t and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 168 = 7*s. Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84*-8*(-6)\/18. What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -9. Let r = -11 + l. Is 2878*r*1\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70254*a**2*d + 753*a**2 - 22*a*d - 106*a + 8*d + 362 with respect to d.\nAnswer: 70254*a**2 - 22*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-70)\/(-18) - 4). Let j = a - 13. Is 7*(-4 - (-111 - j)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/7)\/((-663)\/18564).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110.1 + -103. Let h = -4.1 + d. What is the nearest to -2 in 1\/5, 0.4, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhfhfhhffff?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069 divided by 38323.\nAnswer: 1069\/38323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92259*k**3 - 2*k**2*s**2 + 8*k**2*s + k*s**2 - 11598*k - 32*s**2 + 2*s wrt k?\nAnswer: 553554*k - 4*s**2 + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 474181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -0*u + 3*u + 4*w, 4 = -2*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z**3 + 8*z**2 - 7*z - 14. Let w(k) = -11*k**3 - 9*k**2 + 6*k + 12. Determine -6*l(f) - 7*w(f).\nAnswer: 11*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 386c950 (base 13) to base 6\nAnswer: 1430145211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*12\/(-4))\/(21\/(-35)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/18)\/(4\/6). Suppose j - 4*n - 265 = -277, -3*n + 9 = 4*j. Solve g*y - y - 6 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmual. Give prob of sequence umn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.79 + 0.8. Sort -4, -2, q.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313301213 (base 4) to base 16\nAnswer: 37c67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52638 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/315 + u**5\/5 + 77*u**2. Let h(m) be the third derivative of p(m). Let a(x) = 3*x**2. Give a(h(g)).\nAnswer: 12288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -16. Let h be ((-15)\/c)\/((-1)\/2). Let v = h - 2. Solve 4*o + 2*x - 16 = 0, -16 = -o - v*o - 4*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 2*q + 4. Let p be f(-1). Let y(j) = -j**3 + 6*j**2 + j - 5. What is y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-492)\/(-10) - (-4)\/(-20). Let r = n + -20. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.355294646 + 19.085296355. Let l = -9.27 - g. Round l to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:36 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102079159 + 186489159. Round r to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*a - 202. Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3257501 rounded to the nearest 10000?\nAnswer: -3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -211018*f + 1055104. Give p(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14339 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 2*y**2 + 5*y - 3. Let q be x(3). Calculate the highest common divisor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*g**4 + g + 154.\nAnswer: 68*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -9)\/(-4*5\/(-700)). Let n = l + -17. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/12 + 2*m**3\/3 + m**2. Let q(o) = 0 + 5*o - 13*o - 5 + 6*o. Let z(y) = 2*c(y) + 3*q(y). Give z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5681 = -40*y + 151599. List the prime factors of y.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 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: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*p + 39537 = -421*p. Suppose p = 23*c - 9453. List the prime factors of c.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuujoct. Give prob of sequence xtj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-o - 2*o + 4*o) + o + 3*o - 6*o - 173*o + 1187*o + 1344*o.\nAnswer: 2353*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 2, l: 1, t: 1, p: 1, w: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 69?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 + -210. List the prime factors of (o + 6)*-60*15.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2454427l?\nAnswer: 245.4427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182110.\nAnswer: 2, 3, 5, 7, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.04*0.00037.\nAnswer: 0.0140748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 48 + 8*z + 27.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/10 + (-40)\/100. What is the closest to -0.1 in 30, j, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -42?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -172470601.2 to the nearest one hundred thousand.\nAnswer: -172500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1623*u**6 - 3*u**5 + u**4 + 5165*u**2 wrt u?\nAnswer: -194760*u**3 - 180*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + sqrt(3024)*2)\/(sqrt(252)*-2) + (sqrt(3024)*-1)\/(sqrt(63)*-3).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11931.\nAnswer: 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 36*q**2 + 1396*q**2 + 3101*q**2 - 2084*q**3 - 2475*q**3 + 2099*q**2 wrt q.\nAnswer: -27354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjjjspjsjj. What is prob of picking 1 p and 1 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 10 in descending order.\nAnswer: 10, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.5952 + -28.59508. Let n = 6 - c. What is n rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/86*1*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 765\/12*8612\/(-6459)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -211?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1866 and -5.036.\nAnswer: 0.9397176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.16*-0.7323.\nAnswer: -19.156968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -68. Suppose 4*f + k = 7. Let u = f + 11. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 89*i**2 - 42*i + 84. Calculate k(44).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*b - 78 = 365, 2*r = -2*b + 176. What is the remainder when r is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740 and 132770.\nAnswer: 9824980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-55) + 100838\/(-279488).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose 2*y = -y + 5*c + 12, 0 = i*c. Let p = -26 - -28. Solve -y*f + 2 = -p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1216*v - 856. Let w(b) = 27*b + 19. Let a(y) = -272*w(y) - 6*z(y). What is the derivative of a(x) wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 4*p + 128, 0 = 2*o + 4*p - 68. Is ((-14)\/o)\/((-1)\/(-2278)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -305\/7. Let q = -21 + 23. Suppose q*o + 3 = 6*z - 3*z, z + 2*o = 1. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*j - 9, 35*q - 40*q - 3*j = -9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 3*q - 8. Let s be c(0). Let n = s - -8. Suppose n = -10*v + 2*v + 40. Solve -v*m + m = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-60)\/(-1166)) + 16\/120. Suppose -5*c + k = -137, 2*k = -0*c + 4*c - 112. Let b = c - l. Is b at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98687710 by 22.\nAnswer: -4485805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -150, -155, -160, -165?\n\"Answer: -5*p - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9730 + 18667*g + 9729 - 990*g)*(4*g**4 + g**4 - 4*g**4).\nAnswer: 17677*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6807871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2103 + -2094. What is the closest to 1 in -2, 3, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 + 339. What is the greatest common factor of 100 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*i**3 + 56*i**3 + 9*i**2 - 114 - 2*i**4 + 15*i**2 with respect to i.\nAnswer: -8*i**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12741 and 684.\nAnswer: 2904948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2 + (-27)\/(-12)). Suppose l + d*i + 11 = 4*l, 0 = -4*l - i + 21. Suppose j + 3*s - 41 = s, l*j - 4*s = 205. 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(c) be the first derivative of c**4\/12 + 19*c**3\/6 + 6*c**2 - 15*c - 6. Let r(x) be the first derivative of h(x). Is 3 a factor of r(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -202433?\nAnswer: -202312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 2*k**2 + k. Let w be x(1). Let v = -11 - -7. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*q = -40, q - 78 - 133 = 4*i. Let c = 104 + i. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**24*(f*f**(-3\/4))\/(f\/(f*f**(1\/4))) assuming f is positive.\nAnswer: f**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t + 15 = 0, 2*t - 24 = -0*m - 3*m. Let i(b) = b**2 + 1. Let n be -3*(-2)\/2*1. Let o(l) = 4*l + 9*l**2 - 4*l**2 - n*l + 6. Give m*i(s) - o(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 607 * -15885\nAnswer: -9642195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 322*b - 317*b. Let y be 12 + (-6 - b) + 8. Solve 4*k + y = 11*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/160 and -1\/147065424?\nAnswer: 1470654240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - 1.2. Suppose 8 = -3*j + k, 2*k = -6 - 2. Let n = 83 - 82. Sort n, z, j in descending order.\nAnswer: n, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 6*d)*(2 - 2 + 1)*(1 - 1 - 9)*(1 - 1 - 1).\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.536 - 5.1511. Round r to 2 dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284434457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -74. Let l = d - 73. Let u = -11.6 + l. Which is the nearest to -0.1? (a) 2 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(50) + (sqrt(204)\/sqrt(4) - sqrt(51))*3)\/(sqrt(6)\/sqrt(2)*2*-3*3).\nAnswer: -sqrt(17)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 52*k = -2*n + 9, 2*k - 21 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0 + 10. Suppose -5*v = -5*m + m - 23, -n*v = m - 4. Suppose -4*j + 38 = v*i, 0 - 8 = 2*i - 4*j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357 is divided by 293.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35168782, 35168770, 35168758, 35168746, 35168734, 35168722?\n\"Answer: -12*s + 35168794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251238 (base 9) in base 15?\nAnswer: 3a748e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.1. Let m = -4 - -3. Which is the closest to m? (a) s (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. What is the third derivative of 0*b**n + 3*b**4 + b**3 + 2*b**2 - b**3 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-24) - (0 + 692\/(-24)). Calculate the highest common factor of 11732 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -590, -1333, -2354, -3641?\nAnswer: -5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*q + 107 - 114, 0 = -3*u + 3*q - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2\/5 + 26492*y\/5 + 43797048\/5 = 0. What is y?\nAnswer: -3441, -3182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -64 - 14. Suppose -2*w = 5*p - 10, 3*w - 5*p + i - 4 = 0. Let d(k) = 2*k**2 - k - 7. What is the tens digit of d(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(63)\/(sqrt(18)\/sqrt(2))))\/((sqrt(4)\/sqrt(2) + sqrt(2))*-1 + (sqrt(2) - sqrt(56)\/sqrt(7))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -3*m**3 - 3*m - 9. Differentiate d(n) wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0 + 3*b**2 + 0 - 2*b**2. Suppose -3 - 1 = -2*t. Let j(a) = -3*a**2 + 3 - 3 + 4*a**t. Calculate d(j(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 - 9*n\/7 + 22\/7.\nAnswer: -(n - 2)*(n + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9294, -18644, -28086, -37668, -47438, -57444, -67734, -78356?\n\"Answer: -8*p**3 + 2*p**2 - 9300*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 143 + 5\/(5\/(-2)). Let s = -95 + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-6)*-197)\/((-24)\/36).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290394263778646 plus 0.5?\nAnswer: -290394263778645.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggcd when four letters picked without replacement from {m: 1, g: 1, c: 1, q: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -2*sqrt(170)*1)\/(2*sqrt(10)*2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*z**3 - 2 - 82*z + 2 - 717*z**3 + 228*z**3 + 234*z**3.\nAnswer: 3*z**3 - 82*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393 divided by 8?\nAnswer: 2393\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/60 + o**4\/6 - o**3\/2 + 1964*o**2. Suppose -5*y = l - 16, 4*l + 2*y + y - 30 = 0. Give n(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3)*v*v)\/v**3)\/((v**(-4\/5)*v)\/(v\/(v**(7\/6)\/v)*v)))**(1\/2) assuming v is positive.\nAnswer: v**(-71\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1053)*-3 + -4 - 4*(0 + sqrt(13))*-2).\nAnswer: -19*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t + 1. Let a be 4\/7 - 16632\/(-49). Let v(j) = -2*j - 340 + a. Suppose 2*f = 3*f + 7. Calculate f*v(h) - 2*c(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.53 + 5.53. Which is the third smallest value? (a) -0.4 (b) -2\/9 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 74 - 70*b)*(-3 + 2 - 1) - b + 2*b - 2*b to the form v + j*b and give j.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -9)\/(-1 + 0). Let i(y) = y + 1. Let d(l) = l**2 - 5*l - 1. Let n(r) = d(r) - i(r). Calculate n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 11)*(2*l**3 + 3*l**3 - l**3)*(0*l**2 - 6*l**2 + 3*l**2) + (5*l**4 - 2*l**4 - 2*l**4)*(-2*l + 3*l - 3*l) - 3*l**2 + 3*l**2 - 2*l**5.\nAnswer: -172*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 11*y**2 + 8*y - 9. Is q(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-14)\/(3*(-2)\/9). Let u be 27\/81*(0 + a). Calculate the remainder when 36 is divided by ((-72)\/(-63))\/(1\/u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -7172*b + 7167*b, 4*r + 28 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 0. Let i(z) = -z**2 + 9. Let a be i(v). Is (-30)\/a*33\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12837 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-306)\/16). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -234*f**3 - 6*f**2 + 6*f - 6. Let m(w) = -w**2 + w - 1. Determine -12*m(i) + 2*p(i).\nAnswer: -468*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j + 4*a - 8, 0 = j - 4*a - 12. What is the units digit of 1 - -2 - (-3 - -2)*j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 622 + -611. Let t(g) = 0 - 1 + 4 - 4. Let y(d) = 11*d + 11. Calculate z*t(h) + y(h).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.7, 0, 0.4, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984763879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 18 = -4*v, 10 - 34 = -4*y - 4*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {g: 6, a: 3, d: 2, t: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g, -3*i + 4*g + 20 + 3 = 0. Put -3, -32, i in decreasing order.\nAnswer: i, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 83 = 5*p + 4, 123 = -28*t - 16*t + 17*t + 3*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150634 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*d**2 - 4*d**3 + 237*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 11*o + 17. Let c(z) = -z**3 + 16*z**2 - 34*z - 6. Let p be c(10). Suppose -p = 17*y - 33. What is k(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 13*s**2 - 617*s + 5229. Calculate z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 3*r - 692. Calculate n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87320 by 8.\nAnswer: -10915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57820507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1117262*i**5 + 1272145*i**2 + i wrt i.\nAnswer: -67035720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13317 = -d + 2*d + 4*g, -4*d + 4*g + 53228 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9943 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 7*h + 94. What are the prime factors of ((-4)\/h + 0)*(-289476)\/264?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3864, 97, 2, 440 in descending order.\nAnswer: 440, 97, 2, -3864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7669102 - -20438157162\/2665. Let p = 4194 + -859776\/205. Let o = p - m. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22036 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))**(-31\/4))**43 assuming q is positive.\nAnswer: q**(-11997\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -34*v**2. Let o(w) = 1855530*w. Determine o(k(d)).\nAnswer: -63088020*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 55 = 4*u - 9 - 9, -2*i + 3*u + 19 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 5*z - 2. Determine f(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17512)\/(-648) - (56 - 30)) + 5 + -6?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18867221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -36*p. Let g(o) = 6*o + 2*o + 0*o + 0*o - 4*o. What is -52*g(f) - 6*l(f)?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60060 - 24500?\nAnswer: -114560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, 2\/11, -4 in descending order.\nAnswer: 2, 2\/5, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.353 + 9.353. Which is the nearest to t? (a) 11 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542683722 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4719000 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from rrnnrrrrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*44\/1540*252.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60867729 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = p, -36*n + 34*n - 3 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2582*h - 2572*h - 13610 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((7 - 7) + -3))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 120.71 and -0.04574184.\nAnswer: 120.66425816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44076 divided by 44076?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303\/2263 - 5\/31. Let j = 69\/146 - o. Factor 2*y**2 + j*y**3 + 1 + 5\/2*y.\nAnswer: (y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*v**4\/5 - 10326*v**3\/5 - 21837*v**2\/5 - 12444*v\/5 - 996\/5 = 0. Calculate v.\nAnswer: -1, -2\/21, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 997 - 767. Calculate the greatest common divisor of 20 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 398. Let l = 797\/4 + o. Calculate the common denominator of l and 71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 686 = -257. Let t be 4\/26 + 264\/z. Differentiate 90*m - 90*m - 7*m**t - 8 with respect to m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64199967 is divided by 242264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*m + 66 = 0, -3*f - m - m = -97. Is f less than 63\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 0 - (-9 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 (base 15) to base 4\nAnswer: -1222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1321.999997276 + 1322. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*p + 114*p - 4*p)*((4*p - 3*p + p)*(-2*p**3 + 3*p**3 + p**3) - 7*p**3 + 4*p**4 + 7*p**3 + (-p**2 + p**2 - 2*p**2)*(0*p**2 + 0*p**2 - 2*p**2)).\nAnswer: 1692*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -5*r + 49, 0 = 2*j + 4. Solve -4*x + r = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2\/11, 2, 1\/3, -2 in descending order.\nAnswer: 2, 1\/3, 2\/11, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3.75297.\nAnswer: 0.750594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1356451 = 6782251\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1 + 4 + 31*p**2 - 6 + 4. What is the remainder when u(2) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*2)\/sqrt(3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, -328, 8.2, 0.01 in ascending order.\nAnswer: -328, 0.01, 0.5, 4, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 16) in base 4?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 - -0.52. What is the second biggest value in 3\/5, -0.2, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 - ((1 - -4 - 6) + -73 + 70).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74960*w = -2*h + 74955*w - 116, -74*h + 3*w - 156 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10196, 9871, 9528, 9167, 8788?\n\"Answer: -9*l**2 - 298*l + 10503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = -j - 3*j + 5119062. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046436 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38 - 265 + 5*q**4 + 4*q**4 + 70 - 176 - 5*q**2 wrt q.\nAnswer: 36*q**3 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2. Let z be j(0). Solve -z*k + 0*k = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/32*(-84)\/126\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 + 92 - 79) + 54.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63981 divided by 1?\nAnswer: -63981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18838971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 17 = -7. Suppose -3*m + 0*m = -q*k - 29, -2*k = -3*m + 17. Find the first derivative of -17*b**3 + 2982*b**2 - 2982*b**2 + m wrt b.\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Solve -4*a = o - 2*o + 12, 3*a - w*o + 14 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130831335 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1869 = 191*m - 74*m + 150*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:21 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5687662*s**6 + 3277656*s**2?\nAnswer: -682519440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -305455?\nAnswer: -305454.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1512294 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p - 2*p)*(56*p - 110 + 110) + (0 + 0 - p**2)*(-3 - 1 + 2).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156081045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 105048 = -0*p. Suppose -3*r - 3768 = p. Round r to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - (4 + -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428107819?\nAnswer: 269, 307, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 + -0.1. Let l = 2 - o. Let h = -0.05 + -0.15. Which is the second smallest value? (a) l (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1003124.5 or 8\/51?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (38\/20 - 2) + 44\/160*284\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -268488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 12*q**2 + q**5 + 60)*(39 - 351 - 154 + 11 - 329).\nAnswer: -784*q**5 - 9408*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 12644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -19. Put -3, 5, v in decreasing order.\nAnswer: 5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -39*h**3 + 1448*h**2 - 193*h + 196. Calculate a(37).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -44*r - 16. Let d(f) = 3*f - 3. Determine b(q) - 6*d(q).\nAnswer: -62*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -25*w + 25*w + 2 - 6*w**2 - 2*w. Determine f(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -68. Let u = -12 + d. Let j = u + 57. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1559, -2182, -3221, -4676, -6547?\nAnswer: -8834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8847424 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 14*l + 44. Let d be q(-8). Calculate the common denominator of ((-42)\/(-60))\/7*242\/d and -143\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5891 - 4.510853. Round l to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from yaaygtttyzatataaz?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 544904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = -2*v, 31 = 5*v + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3 - z**2 + 80. Let j(c) = -2*c**2 + c. Let f(q) = -2*j(q) - y(q). Let u(x) = 11*x**2 + 3. What is u(f(h))?\nAnswer: 11*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7430348ns?\nAnswer: 0.0000000007430348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3592 from 434248.\nAnswer: 437840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3564272 is divided by 997.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 13220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 20*s**2 + s + 2. Let w be x(-2). Suppose m - w = -4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23160537 is divided by 359.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313130 - 403937737\/1290. Calculate the common denominator of -64\/387 and q.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*g*l**3 - 11*g*l**2 + 31928*g*l*r - 576*g*l + g + 3*l**3*r wrt r.\nAnswer: 31928*g*l + 3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 3. Calculate p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oixroqoxrxx. Give prob of picking 1 x and 1 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 11*i**3\/6 + 47*i**2 + 97*i. Calculate the least common multiple of y(-6) and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 3\/((-6)\/4). Let t(l) = -2*l**2 - 2*l - 1. Let k(m) = -98*m**2 + 13*m - 1. Let a(j) = -k(j) - 4*t(j). Is a(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10, -25*m - 3*g - 498 = -29*m. Calculate the lowest common multiple of 84 and m.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2666, -1, -724 in decreasing order.\nAnswer: 2, -1, -724, -2666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25715522 (base 8) to base 6.\nAnswer: 323020310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704783 is divided by 24354.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + 0 + 0. Let p be (6 - 4)\/((-7)\/(-1)). Suppose -4 = 2*i - i. Which is the nearest to p? (a) -0.3 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287562 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 9. Sort -5, 0, d, 3.\nAnswer: -5, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83, -336, -757, -1346?\n\"Answer: -84*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 215 + 142 = 0. Let j be k\/15 - -1 - 2\/5. Solve -j = u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/20 - j**4\/3 - 2*j**3\/3 - j**2 - j. Let o = -3 - -8. Let i be p(o). Solve -i*g - 10 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-2) - 3 - -3. Let u(d) = -55*d - 8. Is u(m) 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 778114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*p. Suppose -2 = -5*i + 13, p*i = -3*f + 6. Solve -2*v = 4*u + 6 + 8, f = 4*v + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.49 (b) -64 (c) -5 (d) 224 (e) -2 (f) 1 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 3766239.\nAnswer: -2\/1255413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -522369*j - 132024.\nAnswer: -522369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/8294 and 37\/140998.\nAnswer: 140998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose -12 = -p*u + 3*s, -2*u - 5*s = u + 4. Let c = 2 + 2. Solve -2*m - c = -2*l - 2*l, -m - u*l = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61943*s**2 - 1363296*s**2 - 899108*s**2.\nAnswer: -2324347*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfbx when four letters picked without replacement from {q: 4, z: 1, x: 2, f: 2, b: 4, h: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 17.960631 months?\nAnswer: 0.00149671925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/32 and 89\/1984.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 - 133 + 307 + 488*o**2.\nAnswer: 488*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 430504324*s + 23166746622837122.\nAnswer: 2*(s - 107626081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -625.8 - -593.8. Is -3.36 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -6\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 263819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -38*m + 11. Let s(x) = -2*x**3 - 13*x**2 - 35*x - 300. Let c be s(-7). Let q(o) = -19*o + 6. Calculate c*u(k) + 11*q(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 7*b + 6. Let j be f(4). Let x be j + (-3)\/(-1) + -3. Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 45. Let h = o - 28. Suppose -b - 2*b - 2*u - 20 = 0, -h*u = 5. Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5410*f + 3*d - 29 = 5405*f, 5*f = -5*d + 35 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/27*(0 + 1)\/(-2). What is the nearest to 2 in b, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let j = 11 - b. Let c = j - -7. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077767 is divided by 192358.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 93928902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*c + 263 = 59, u = -4*c + 76. Suppose 35*v = u*v - 12096. 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: Collect the terms in -173526 + 57805 - 18*c**3 + 57856 + 57865.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1797 - -1796. Let c(t) = -3*t - 11*t - 1 + 15*t. Calculate c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/8 + 137*w**4\/8 - 281*w**3\/8 - 413*w**2\/8 + 70*w + 139\/2 = 0?\nAnswer: -139, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/2 + 15\/(-6). Let v = 2\/181 - 388\/2353. Which is the closest to -0.1? (a) t (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1923.8 in 1\/3, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -1241, -2819, -5041, -7913, -11441, -15631?\nAnswer: -20489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*y + 1001, y + 1906 = 5*p - 603. Solve p*s = 510*s - 48 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 33 + (20 - 53 - -34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + w**2 + 0*w**2)*(-4 + 11 + 0)*(4*w + 3 - 3) to the form b*w + t + i*w**3 + o*w**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 148 = h + 241, 8*t - 192 = -0*h - 0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p + 37 - 23 + 38 - 50. Let t(z) = 10*z + 1. What is -2*s(u) + 3*t(u)?\nAnswer: 12*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = w + 2*w - 4*p, 2*p - 85 = -w. Calculate the remainder when 1295 is divided by w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l. Give o(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -501 - 647. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 7*u + 6 = -5*u, 3*v = -4*u + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/55? (a) 0.1 (b) 17 (c) -3\/5 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262.65 + 2.65. Let s = t - -260. What is the nearest to s in 3\/5, 5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -3 in decreasing order.\nAnswer: 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*t + 7*t. Let o(z) = 2*z**2 - z - 2. Let q be o(t). Let a be q\/(4 + -3) - -1. Solve -a*k = -4*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -217 (b) 5 (c) -0.2 (d) -4034 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9.4. Which is the closest to -0.2? (a) -3 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 45*c - 110. Let s(u) = 2*u**2 - 89*u + 223. Let x(w) = -4*s(w) - 7*z(w). Give x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-3 - 2374036\/88). Let f = -26978 - x. What is the common denominator of -25\/12 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00999977 - 0.01. What is z rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5\/4*s + 1\/4*s**2 = 0. What is s?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315810.626 + 223130622.374. Let v = 223446430.89999967 - y. Let k = v - -2.1. What is k rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -4*o = -2*h + h + 97, 0 = 4*o + h + 95. Which is the smallest value? (a) o (b) q (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32282 > 32282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/325*15\/70*-5. Let w = n + 762\/91. Is 2 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let p be (44\/7)\/r - -2. Which is the third smallest value? (a) 0.4 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-107)\/385 + 16\/44. Let z(g) be the first derivative of 12\/7*g**3 + m*g**5 - 8 + 9\/14*g**4 + 9\/7*g + 15\/7*g**2. Solve z(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115056354?\nAnswer: 2, 2557528177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 6*u = x - 15, 14 = -3*u - 2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 20 - 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17433 - 17328. Calculate the greatest common divisor of y and 9345.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-5 - 0) + 8 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 34*a - 195. Calculate the remainder when 733 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 87 (b) 1\/2 (c) 253 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55*(42000\/(-1100))\/28?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 5*b - 123. Calculate the smallest common multiple of b and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:44 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 345664639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/5*25\/(-10). Let f = 43 - 60. Let l = 17 + f. What is the nearest to k in -0.3, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5270 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6418?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + (-7)\/(56\/36). Let p be -2 + 12\/(-8)*w. Suppose 0 = 2*l + p, -5*l = 3*y - 3 + 7. Solve 0 = 5*g - 4*a + 2*a - 28, -y*g + a = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)\/((-145)\/(-58))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2178 and 9.\nAnswer: -19602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 66674?\nAnswer: -66680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075684 is divided by 2026?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-4))\/(-1))\/((-162)\/324).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402464*w + 3*w**4 - 402465*w - 3 + 0 + 9*w**3 to q*w**3 + j*w**4 + g + v*w + r*w**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 23 = -2*u, 0*u + 24 = 4*u + 4*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(1402*a - 468*a + 191*a + 387*a).\nAnswer: -1512*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26326075*9.\nAnswer: 236934675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15730309 + -4.\nAnswer: -15730313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5341 + -5345. Sort r, -1\/102, -0.5 in descending order.\nAnswer: -1\/102, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 - 4*f**2 + (0 + 0 + 1)*(3*f**2 + 0*f**2 + f**2))*(-39*f**2 + 10*f**2 - 6*f**2).\nAnswer: -70*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:43 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331 + -1201032?\nAnswer: -1200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -527*a - 24. Let q(f) = -f + 4. What is -5*q(x) - y(x)?\nAnswer: 532*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110021201010120 + -2?\nAnswer: -2110021201010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 129*j + 1389. Calculate i(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lveluuulnnuupn. Give prob of picking 1 l and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*k + 1218*k - 70503 = 0 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.793008 millennia to decades.\nAnswer: 479.3008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s - 918 - 2952 = 0. Solve 10*q - s = -110 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*q + 2, -1 = -4*q + 4*l + 11. Let a be (9\/6)\/(1\/2). Suppose 1 = -2*s + q, -a*s = p - 9. Solve 23 = -5*v - 0*v + 2*b, p = 4*v + 3*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjpha. Give prob of sequence jph.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 108*y**3 - 19*y.\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + g = -1141, -3*o + 2*o - 5*g = 575. Let u = -396 - o. Suppose -5*y = -d + u, -4*d + 2*y = -9*d + 789. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/4 + 52*r**4 - 1747*r**3\/4 - 2057*r**2\/2 - 540*r = 0?\nAnswer: -216, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -550098, -1100190, -1650282?\n\"Answer: -550092*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-b + 0*b + 0*b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b + 8. Suppose -28 = -0*g + 4*g. Let h be z(g). Let x = -44 + h. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 23*v**2 - 65*v + 101. Let j be a(20). Solve -5*q + 3*z - j = 0, 9*z = 2*q + 14*z - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -v + 14, -155*v = -156*v + 4*r + 7. Calculate the remainder when 6058 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-18))\/((-3)\/(54\/2)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-300)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 19*h**2 - 2*h + 20. Suppose 5*s - 129 = -39. Let p be k(s). Suppose 0 = -2*g + p + 118. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7513326 is divided by 683021.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**3 - 73*u**3 + 33*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7600 = 36*q - 16412. Let g(t) = t**3 - 8*t**2 - 6*t - 4. Let v be g(9). What is the highest common factor of q and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(19\/2)*(d*d\/d**1)\/(d\/(d\/(d**1\/d*d)))*d**(-2\/5)\/(d**(-1)\/(d\/d**5)) assuming d is positive.\nAnswer: d**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*h - 12330 + 12134, -19 = 3*h + 41*m for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.06 - 0.06. Let z be (-670)\/(-536) - 26\/40. Which is the closest to -0.1? (a) 4 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493687 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19637 + 20994. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1673 = 5*u, 3*a - 866 = -4*u + 480. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((0 + -3)\/21). Suppose -2*y + g = j, -4*y = -3*y - j - 11. Suppose y*m = -196 + 1924. Calculate the highest common factor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5641 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 659*j + 294*j - 290*j + 1706*j to the form a*j + b and give a.\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*c = 8, 0 = 3*y + 3*c - 25 + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 4, 19255754.\nAnswer: -2\/11, 4, 19255754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z + 16. Let f be r(8). Suppose -10*j + 10 = -f*j. Solve -2*x + 1 = j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 8*u)*(-u + u - 14*u**2) + 3*u**3 + 4*u**3 - 5*u**3 + (0 + 0 - 2*u**2)*(-3*u + 3*u + 2*u).\nAnswer: 110*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022010 - 111200?\nAnswer: -10210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(-2*v**4 + 0*v**3 + 0*v**3) - 88*v**4 - 79*v**4 + 244*v**4.\nAnswer: 71*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64112, 64098, 64084, 64070?\n\"Answer: -14*n + 64126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207.46*-19.\nAnswer: 3941.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3153740948 to four decimal places.\nAnswer: 0.3154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oby when three letters picked without replacement from byaoayyfzab.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 18*c + 3 - 70*c - 1. Let y(n) = 3*n + 17. Let d be y(-6). Is v(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 374 + -376. Which is the biggest value? (a) 2 (b) n (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {i: 8, l: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785\/4784 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/9 - 418*o\/9 - 2828\/9 = 0.\nAnswer: -202, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -627 divided by 10546\nAnswer: -627\/10546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-72)*-2*154\/(-77).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:14 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23, 6, 7, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 359*v**3 - 8*v**2 + 11*v + 12. Let h(a) = -180*a**3 + 5*a**2 - 6*a - 7. Calculate 7*h(s) + 4*i(s).\nAnswer: 176*s**3 + 3*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + -0.41. Let y = -11 + 5. Let w = -4 - y. Put h, w, -0.1 in descending order.\nAnswer: w, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83417938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91846 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -931.39 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 5. Let j(q) = 3*q**2 - 14*q + 14. Let m(w) = -w**2 + 5*w - 5. Let h(s) = p*j(s) - 17*m(s). Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5528871, -5528876, -5528889, -5528910, -5528939?\n\"Answer: -4*r**2 + 7*r - 5528874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193598720 and 9679936.\nAnswer: 193598720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (0 - ((6 - (-11 + 2)) + -14))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 1\/86 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 756.204108 to one decimal place.\nAnswer: 756.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 71397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212202011012 (base 3) in base 15?\nAnswer: -14ae48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02056 and -13?\nAnswer: 0.26728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 28*b - 500. Let w be l(18). Let m = -9 + 14. Suppose -m*u - 3 = -33. Sort w, -5, -2, u in decreasing order.\nAnswer: u, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 38056 + 38116 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.36. Let v = o + -1.56. Let t = -1.299865 - v. Round t to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5\/2 (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -168052940239689 and 2?\nAnswer: 168052940239691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -39*f**3 + f**2 - f - 10. Let z(u) = u**3 - 16*u**2 + 12*u + 43. Let w be z(15). List the prime factors of k(w).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxex when four letters picked without replacement from {e: 6, x: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 + 155*j + 1120. Let n be z(-7). Solve 15*u - 10*u - n = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 1896 = 13*k. Let j = k - 206. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8015153, -32060615, -72136385, -128242463, -200378849, -288545543?\n\"Answer: -8015154*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + -12. Let p = l + 38. What is the second derivative of -p*n**2 - 5*n**2 + 5*n**2 + 88*n - 92*n wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9 and 41\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1106, -2203, -3292, -4367, -5422, -6451, -7448?\n\"Answer: b**3 - 2*b**2 - 1098*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109b7 + -3a3?\nAnswer: -1119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/4, 105\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 12) to base 11.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80054 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12212 and -12.\nAnswer: -146544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-9))\/((-2)\/(-3)). Let y = -0.32 - -0.42. What is the nearest to y in -2, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124.9 and 174.57?\nAnswer: -21803.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800473231.\nAnswer: 1217, 657743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-88)\/(-66))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7763 is divided by 7677?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b**2 - 18*b**2 - 24*b**2 - b**2 - 4*b**2 + 4*b**2 + (-4*b + 3*b + 0*b)*(b - 3 + 3) in the form w + k*b**2 + m*b and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632 and 62351?\nAnswer: 39405832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-155)\/30)*(204\/224)\/(-17).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - (-7 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2118 - 1897 = 17*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 8*m + 3. Let k be x(-7). Suppose -5 = g - 6. Let a be (-3 - k) + 4*g. Solve 3*w + 10 = -a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8143 + -5505. What are the prime factors of d?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 21019*x**3 - 21020*x**3 - 1.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 14) to base 2\nAnswer: -11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-3))\/((-1)\/(-18)))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 841755 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3)*(10 - 0). Let w be (-18)\/(-4)*(-20)\/h. Let m be (-1)\/(-9) + (-385)\/(-99). Solve -2*j - w*i + 12 = -6*i, -2*j - m = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/6 - 641*i**3\/6 + 3902*i**2\/3 - 10448*i\/3 = 0.\nAnswer: -653, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 121, 141, 179, 241, 333, 461, 631?\n\"Answer: q**3 + q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1306547\/(-861) + (-6)\/7. Let v = -1518 - b. Factor 0 + 0*n + n**3 + 2\/3*n**2 + v*n**4.\nAnswer: n**2*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5864 - -6204. What is the highest common divisor of 748 and s?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931510*o = -931584*o + 3137 + 563 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and 13288.\nAnswer: 13287.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4187.8 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8392 at least as big as 25568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 5*c + 8*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138333396?\nAnswer: 2, 3, 1669, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 112967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 121304423 (base 5) in base 12?\nAnswer: 237374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 - 3*c**2 + 6. Let g be h(-5). Solve 5*k = g + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 17*r = -144. Does 20 divide 9\/(-6)*(r - 2528\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (3 - 1) - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 815261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1292988 in decreasing order.\nAnswer: 1292988, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l = 44*l. Suppose l = o + 12*o - 3224. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/90 - (-6)\/27)\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378\/5 + 2666\/35. Which is the closest to 6? (a) 3 (b) h (c) 1\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328 + 2621\/8. Sort 0.3, o, -1.3.\nAnswer: -1.3, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 2.\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3348 = -8*d + 4*d. Calculate the remainder when d is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 44, -1\/4, -0.3, 0.2.\nAnswer: -9, -0.3, -1\/4, 0.2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j**4 - 2*j + (-2*j**2 + 6*j**2 - 2*j**2)*(-3*j**2 + 6*j**2 - 2*j**2).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y - 4)*(-1 + 1 - 2) + 2*y + 0 + 0 - y - 2*y + 2*y + y + y - y + (-4 + y + 4)*(-4 + 3 + 2).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 40, y - 381 = -f - 23. What is the greatest common divisor of f and 4130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24579 is divided by 403.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -540?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -19*v**3\/6 - 3056*v. Let i(h) = -225*h**2. Give f(i(w)).\nAnswer: 4275*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2 + 58*o - 9. Let z be x(-6). Solve 10*r = -r + z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 152, 300, 446, 590?\n\"Answer: -h**2 + 151*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 + 5 = 2*r, -4*r - 2 = -g. Let f be r - (-3 + (-33)\/(-9)). Sort -7, 5, f in decreasing order.\nAnswer: 5, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 53 - 113)*(4*g + 3*g + g).\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199261968 to the nearest integer?\nAnswer: 14116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 49*d**5\/5 - 3824*d**4\/5 - 32527*d**3\/5 - 86278*d**2\/5 - 72276*d\/5 + 3096\/5 = 0.\nAnswer: -3, -2, 2\/49, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (8 - 8))\/4. Let m + 4\/5*h**3 - 1\/5*h**4 + 0*h - 4\/5*h**2 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -1103*m**6\/30 - 1235*m**4\/12 - 3179*m**2. Find the second derivative of p(v) wrt v.\nAnswer: -26472*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -60212698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -1\/2, 3.1, -483, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -4 - (-36 + -21 + 28)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*x - 1271 + 1271 to the form l*x + c and give l.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0 + -2)*2. Let v(w) = w + 1. Let z(q) = q**2 - q - 2. Let i(n) = y*v(n) - z(n). Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0199 + 0.3801. Sort y, 1\/6, 1\/2, 12 in descending order.\nAnswer: 12, 1\/2, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/42742 and 38\/387.\nAnswer: 384678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 16*y + 10. Let s be l(0). Solve 6 = -4*i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -21 (c) -3 (d) 1\/6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*v = 111*v - 35. Suppose -v*m = m. Suppose 0 = 3*l - 9, 5*l - 5 = w + 2*l. Solve 0 = h - m*h - w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -153401*b**3 + 1179*b**2 + 3537. Let w(p) = -650*p**3 + 5*p**2 + 15. Give 5*q(m) - 1179*w(m).\nAnswer: -655*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15226339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 14 = 3*s, -4*s + 10 = -6*s - 2*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + 7 - 163*p - 11 + 0*p**2 + 2 + 3*p**2.\nAnswer: 10*p**2 - 163*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/(-270)*(-23)\/368?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 76 = 8*p. Suppose -3*s - p + 196 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245796*-0.16\nAnswer: -39327.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1681 - 1680. Let f(l) = -l**3 - l**2 + l - 1. Let x(o) = -2*o**3 - o**2 + 5*o. Calculate d*f(h) - x(h).\nAnswer: h**3 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -10. Let t = w - 0.95. Let p be (1 - 0)\/(-7 + 4 - -4). Which is the second biggest value? (a) p (b) t (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 6 + 4 - 2. Let r be m(0). Let u = 0 + r. Put 2, 4, u in ascending order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-8492)\/1768. Let q = u + 72\/13. Are q and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -358802.\nAnswer: 1076406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.2 + -2.4. Let s = y + 66.3. Let b = s + -83. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*g + 2634*g - 8423*g - 3029*g.\nAnswer: -9817*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271344 by 33918.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let v(r) = 19*r**2 - 4*r + 2. Let j be v(h). Let c(m) = -m + 23. Let d be c(9). Calculate the highest common factor of j and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.277971049 to 5 decimal places.\nAnswer: 0.27797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/8 + 43*b**4\/8 + 231*b**3\/8 + 425*b**2\/8 + 167*b\/4 + 12 = 0.\nAnswer: -2, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) 1 (b) 2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajjjjjjjjjjjjjajj. What is prob of picking 2 a and 2 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539.8748 - -0.1252. Let d = -539.7 + r. Which is the closest to -1? (a) 1\/2 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -60. Let u(s) = 2*s + 17*s + 2 + s**3 - 14*s + 5*s**f. What is u(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let g(w) = 8*w**2 - 4. Let y be g(3). Let p(a) = -y*a + 2*a**2 + 68*a. What is i(p(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-58)\/(-68) + (-372)\/744?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 + 12. Let h be t(5). Suppose 3*g + 0 + 72 = -3*n, -6 = -g + 5*n. Let i = g - h. Is -6 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 462 + 759. Suppose 5*i = -20, 3*n + 3*i = -i + v. What is the remainder when n is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1 = -2*c, -5*d - 29*c + 25*c = 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/2 (c) 45 (d) 606.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 12. Let j be c(6). Suppose -4*r - 3*q - 76 = 0, 0*r + 2*r - 4*q + 16 = j. What are the prime factors of 23\/5 + r\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u - 64*u**2 - 1 + 46*u**2 - 2 + 14 + 31*u**2. What is k(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-5)*((-9)\/(-216))\/((-729)\/48600).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1266 divide 503002056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-12)\/(-9))\/4*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 4. Let g = h - -13. Solve 5*v - 23 = 2*y, -8 = -g*y - 5*v + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*v**4\/11 - 202*v**3\/11 + 597*v**2\/11 + 3932*v\/11 - 4960\/11 = 0. Calculate v.\nAnswer: -31, -4, 8\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -37, -61, -87, -115, -145, -177?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -558*b**2 - 58*b**2 + 3*b**2 + 6186*b + 2792*b**2 + 3401*b**2 wrt b.\nAnswer: 11160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-196) + (-58)\/(-14). Let c(b) = 3*b**3 + b**2 + 4*b - 13. Is c(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from oopxbtw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.98 + -0.02. Let z = 2.2 + g. Let k be 25\/45 - (-1 - -2). What is the closest to z in -2\/3, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 12.4. Let i = -59 - q. Let k = i - -49.047. What is k rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + 19*i - 1599. Calculate f(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172637356 is divided by 449.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492159904 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -76\/41?\nAnswer: -76\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*l = 5*n + 171, 2*l - 480 = -3*n. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 times -1\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27012 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = -3079 + 3226 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6267*p + 43825. What is k(7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152592, -152590, -152588, -152586, -152584?\nAnswer: -152582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*u + 150*u + 29*u + 42872 - 2405 for u.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -99906.203 rounded to zero decimal places?\nAnswer: -99906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/7 + 1212*t**3\/7 + 118722*t**2\/7 - 745380*t\/7 + 1134675\/7.\nAnswer: 3*(t - 3)**2*(t + 205)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013052 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*y. Let v(x) be the third derivative of -5*x**2 + 0*x**6 - 1\/945*x**7 + 0*x**4 + y*x + 0 + 1\/270*x**5 + 0*x**3. Factor v(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*n - 4*n + 2*n)*(1 + 1 + 0 - 4 - 1 + 4 + (5 + 1 - 5)*(1 - 1 + 2) - 2 + 3 - 2 + 1 - 4 + 0) to the form b + i*n and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 9. Let r be n(-6). Suppose -r*c = -3497 - 3340. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18599305?\nAnswer: 5, 73, 50957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2073007 - -5?\nAnswer: -2073002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:03 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476377?\nAnswer: 11, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c + 1. Let l be n(-1). Let k(v) = v**2 + 5*v - 46. Let a be k(-11). Suppose 0 = -l*i + a - 0. Solve -x - f = i*f + 8, x - 3*f = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-475389)\/(-18))\/(-522 - 1). Let p = -1\/523 + i. Let r = 527\/2 - 258. What is the common denominator of p and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68540, -137086, -205632?\nAnswer: -274178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457901911 to the power of 1\/2, to the nearest integer?\nAnswer: 21399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28626313 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785105143 plus -4?\nAnswer: 1785105139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.4. Let t = 3.57 - 152.57. Let g = 155 + t. Which is the smallest value? (a) z (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 8*x - 1. Let s(h) = -6*h**2 + 23*h - 3. Let l(z) = -9*z - 14. Let b be (-2)\/14 + 91\/(-49). Let v be l(b). Calculate v*s(j) - 11*a(j).\nAnswer: -2*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 1. Let n = z + 16. Suppose 742 = 2*v + 4*c, 2*c + 1819 = n*v - v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 12*x**2 + 4. Let v be c(12). Calculate the highest common divisor of v and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*v + 91*v - 52 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5 + 6*f + 4 - 4 - f. Let v(z) = 4*z - 5. Let t(w) = -2*k(w) + 3*v(w). Determine t(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 304.0516149 to the nearest integer.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = h. Suppose -p = h*t - t - 2702, -2*p + 5398 = -t. What is p rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149596*i*j - 73957*i + j + 7 wrt j.\nAnswer: 149596*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 4 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 966143447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 15. What is the smallest common multiple of 70\/245*(-105)\/(-3) and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 15*i - 4. Let b be h(-15). Calculate the remainder when (-8)\/(b + (-15)\/(-4)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 12*y**2 - 16*y - 17. What are the prime factors of t(-13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4\/3, 0.3, -4 in descending order.\nAnswer: 4\/3, 0.3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i - 9*i + 16*i + i - i + 2*i + (-3 + 1 + 0)*(-2*i + 2*i - 2*i) + 4*i - 6*i + 0*i)*(4 + 0 - 1)*(0 - 2 + 3).\nAnswer: 75*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m - 59*m = 315*m - 23744 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**2\/4 - 800823*y\/2 + 71257497481\/4.\nAnswer: (3*y - 266941)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s + 52. Let q be (7 - -3)*s\/6. Let u = -43 - q. What is the smallest value in 4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.644 - 42.986. Let g = 47 + k. Let r = 2.630131 + g. Round r to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 - 368328*h**2 + 105829632*h - 7613761536 = 0 for h.\nAnswer: 144, 91794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010100110100 - 0?\nAnswer: -10101010100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152035409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 325 + -244. Calculate the smallest common multiple of 21 and u.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 9:50 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o - 5. Let r(h) be the third derivative of -h**4\/4 + h**3\/3 + 2*h**2 - 464*h. Determine 4*i(s) + 9*r(s).\nAnswer: -10*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002300 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (608\/114)\/((-4)\/8*10\/30).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854285697 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - sqrt(4))*3)\/sqrt(2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - 1*(sqrt(2) + 0))*3)**2*-5 + (sqrt(2)*-1*-6)**2 + 5*-1*sqrt(2))*-4.\nAnswer: -288 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-510) + 88\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-5697)\/6)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2700)*-2*4 + 2 + -3*(2 + sqrt(432)*1))**2.\nAnswer: -552*sqrt(3) + 228529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*b + 14, 5*b = 5*f - 455 + 425 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v - 24. Let l(q) be the second derivative of 5*q**3\/6 - 4*q**2 + 3*q. Let c(r) = -11*l(r) + 4*p(r). Give c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, -2\/7, -8, 0.053, 1.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -55200 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 14*g + 9. Give b(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2068790, -4137582, -6206374, -8275166, -10343958?\nAnswer: -12412750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -29. Suppose 4*z - 6*z = -y. Suppose -i - 5*f - z - 2 = 0, -i - 4*f - 6 = 0. Solve -14 = -3*d + p, i*d - 2*p - 1 - 7 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3475 = 4*i + 5*w, 2*w - 1 = 5. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by (2 - (-1029)\/(-15))*1235\/(-741)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hehe when four letters picked without replacement from heeheehheheheeeeeee.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - 12*n + 3. What is t(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 115*x = -76*x - 629 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 373609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25131922 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - 1) - (12 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 280, 253, 216, 169, 112?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0, -256832 in decreasing order.\nAnswer: 0, -55, -256832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 1, j: 2}. Give prob of picking 2 c and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 61*o + 234. Calculate h(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*y = -252*y + 139*y - 528 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 14*d**2 + d - 18. What is f(-14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.3 times -3?\nAnswer: -123.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**17*r)\/r*r\/(r**(-12\/7)\/r*r))**(2\/57))**14 assuming r is positive.\nAnswer: r**(580\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 4 (b) -8 (c) 44 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {f: 16, q: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566614522*l**4*m**2 - 70*l**2*m**2 - 301*l**2*m + 2*l*m**2 - 188*l - 2*m**2 wrt l?\nAnswer: 13598748528*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1320 divided by 2\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p*p**(-7\/4)*p*p*p*p*p)\/p**(-2\/13)*p**(-2\/15)*p**(-1\/9))**(-13) assuming p is positive.\nAnswer: p**(-16753\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5035*c**2*d - 1031740*c**2 + 546*c*d - d - 10 wrt d.\nAnswer: 5035*c**2 + 546*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 3 = -4*i - 4*l, 4*l = 2*i - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 1. Let u be m(3). Let k = 42 + -10. Let z = k + u. Calculate the greatest common factor of z and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174745451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 94 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + k - 2*k**2 - 2 + 2*k**2 - 4*k**2. Let m(v) = v**3 + 3*v**2 + 2. Let h be m(-3). Give f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*c + 4*l - 32, 4*c = 4*l - 44. Calculate the common denominator of 61\/16 and 10\/c + (-20)\/108*7.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 269, 1026, 2265, 3974, 6141, 8754?\n\"Answer: -2*r**3 + 253*r**2 + 12*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 - -282. Let i = b + -59. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = 0. Suppose z = 4*b - 12, 5*b - 39 = 2*u - 98. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 729 and 3240.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -5257180?\nAnswer: 5257183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-9119)\/858 + (4 - 24\/18 - 4)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**2 + 101*h**2 - 52*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12509695.6409441 and 2.\nAnswer: 12509697.6409441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*21*(-1)\/(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3*(-3210)\/535.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 347, 364, 397, 446, 511, 592?\n\"Answer: 8*q**2 - 7*q + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423811*o + 423806*o = -305 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 + -5. Let p = -1.2 - -0.2. Let l = p - c. What is the nearest to 0.1 in l, 6\/5, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let k(f) = -12*f - 18287. Give q(k(z)).\nAnswer: -12*z - 18287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142447.\nAnswer: 181, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 510 = -4*q, -10*v + 12*v = -3*q + 384. Calculate the greatest common divisor of q and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40822, -36215, -28544, -17815, -4034, 12793?\nAnswer: 32660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3 - 2*b**2*x + 1567*b*v*x - v + 508*x wrt b?\nAnswer: -6*b**2 - 4*b*x + 1567*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 2*q + 2. Let c be w(-1). Let f be 174\/21 + c\/7. Suppose -2*m = -6*m + f. Solve -t = m*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 705.599995051 - 705.6. What is s rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/15 - (-31)\/5. Suppose -3*k - 3 = i. What are the prime factors of (1 - -4) + (-4 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 0 + 0 - 3 + (-2 + 1 - 1)*(3*g + 2*g - 3*g) + 2*g + 0*g - 4*g - 4*g + 3*g + 3*g.\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let v be (-26)\/143 - 14\/22*-5. Let n(t) be the second derivative of 0 + v*t - 1\/6*t**3 + 0*t**2. Calculate r(n(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(-32)\/40. Suppose 4*x = 185 + 55. Calculate the remainder when x is divided by 2\/(5\/(t - -42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 255*f - 57. Let b be g(7). Suppose 42*s - 46*s = -b. What is the greatest common divisor of 54 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Let z be 12\/h - 2\/(-2)*2. Let s be ((-6)\/9)\/(10\/6). Sort s, z, 3\/8.\nAnswer: s, 3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + u = 2*u - 40, 5*q = -2*u + 50. Suppose -1883 = 69*i - 2849. Calculate the smallest common multiple of q and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 4:25 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5323.3 + 5323. What is the second smallest value in p, 188, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1265107?\nAnswer: -632553.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 351, 368, 403, 462, 551, 676, 843?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 6) in base 3?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niui when four letters picked without replacement from {c: 5, n: 2, i: 2, x: 1, u: 6}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*i + 356 = 0, 2*s = -2*s + 4*i + 484. Suppose -15 = -5*d - s. Let w = -109 + 87. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -38*1\/(2\/(-2)). Suppose 20 = 4*x + x. Suppose -5*v - 19 = b, -b = -x*b + 4*v + w. 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 prob of picking 1 d, 1 j, and 1 b when three letters picked without replacement from jjjmbjmjjmjd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 916 + 181 = 0. Round y to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/281 (b) -4 (c) 2\/17 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (9\/1)\/3 - -995 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272895 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10 - 22370*z**3 + 11179*z**3 - 6*z + 9*z**2 + 11190*z**3. What is v(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.25590344 to 2 dps.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:07 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*g + 110*g - 133*g to the form a*g + r and give a.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 471349423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -147, -181, -245, -345, -487, -677, -921, -1225?\n\"Answer: -h**3 - 9*h**2 - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/120 + v**5\/10 - v**4\/4 + 7*v**3\/6 + 3*v**2. Suppose 1 = 5*z - 24. What is the units digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, -87, 2 in ascending order.\nAnswer: -87, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/114 + (-10)\/95?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -1, 19, -2\/9, -35, -9?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6124 (base 16) to base 8.\nAnswer: -3060444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 2*p**2 - 2*p**2 + 3*p + 4 + 2*p. Let x be u(5). Let k be 2\/(-1 + 3) + x. Solve w = 2*w + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8 + 6*v + 12 - 19. Let u = -179 - -183. Determine s(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 - 1266*d**3 + 4745*d**2\/2 + 6545. Find the second derivative of q(z) wrt z.\nAnswer: 6*z - 7596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10\/7)*a*a*a**(-10)\/a*a)**34 assuming a is positive.\nAnswer: a**(-2244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32058 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 888187 or 888188?\nAnswer: 888188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*t + 2*t + 11, 4*j - 32 = 5*t. What is the third derivative of -4*m**2 + 0*m**2 + 3*m**j + m**2 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/19)*m**(-1))\/(m**(-3\/5)*m)**(2\/7) assuming m is positive.\nAnswer: m**(-846\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 0.19. Let f = -3.7 + 4. Let z = 0.09 + -5.09. What is the smallest value in s, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from ggsesvssseege.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 31*x + 14. Let o be g(-33). Let f = 78 - o. Sort -5, 11, -0.5, f.\nAnswer: -5, f, -0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -111.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 > -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**7\/420 + d**6\/120 - d**4\/24 - d**3\/12 - 3*d**2. Factor u(q).\nAnswer: (q - 1)*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -70*b - 71. List the prime factors of w(-4).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:06 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.79, 3, 1\/3, 0.3, 1271, -5?\nAnswer: 1271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - (-133 + 174 + (0 - -2 - 1))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.1 and -9799575261.\nAnswer: -9799575264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 391.82 and 2?\nAnswer: 783.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jujj when four letters picked without replacement from jjggjju.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 324.69455 + 0.2.\nAnswer: 324.89455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 25. Let o(c) = c**3 - 4*c**2 + 2*c + 2. Let w(v) = -v**3 + 5*v**2 - 3*v - 3. Let l(a) = -3*o(a) - 4*w(a). Let n be l(s). Is 0 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:37 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*u + 129*u = -4. Let b(r) = 4*r**3 - 2*r**2 - r + 2. What is the remainder when 43 is divided by b(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*s = -1 + 2, -5*s = 5*r - 35. Let k be (-1)\/r*(-12)\/(-28). What is the biggest value in -3, -0.1, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/406478?\nAnswer: -3\/406478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.16 or 13?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1296 and 7190154.\nAnswer: 172563696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 25*q + 26. Let l(d) = 3*d**2 - 2*d - 1. Let b be l(q). Solve b*m - 4*s + 0 = 4, -3 = 3*m + 3*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 224*o**3 - 6*o**2 + 4*o - 131. Let i(h) = -448*h**3 + 10*h**2 - 7*h + 263. Let b(l) = -3*i(l) - 5*p(l). What is the second derivative of b(n) wrt n?\nAnswer: 1344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-175)\/21)*-5. Suppose 62 = l + 64, 0 = -3*y - d*l + 2061. Is y a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*b = -27, u + 2*u - 2*b - 3 = 0. Solve -u - 5 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, 0.7, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Suppose 0*b = -d*b + 18. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 5237 - 9437. Is q greater than 637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2526, 2497, 2468, 2439, 2410?\n\"Answer: -29*r + 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580992 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, 672, 49, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s. Let o(g) = -2*g**2 - 5. Let k(u) = 3*u**2 + 8. Let l(c) = -5*k(c) - 8*o(c). Calculate d(l(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001 (base 2) in base 16?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i. What is k(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4354410 (base 7) to base 15.\nAnswer: -a85ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d - 5*d**3 + 5*d**2 + 0*d**3 + 5*d**2.\nAnswer: -5*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25783288 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -18 (b) 0.1 (c) 0.3 (d) 5 (e) -241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -810 or -816?\nAnswer: -810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s**5\/5 - 16*s**4\/5 + 126*s**3\/5 + 64*s**2\/5 + 8*s\/5 = 0. What is s?\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -172*v**2. Let r(l) = -2*l**2. Calculate r(b(d)).\nAnswer: -59168*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -62 (b) -284 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -31*f - 46. Let i(p) = p**3 - 5*p**2 - 3*p + 3. Let s be i(4). List the prime factors of o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 14) to base 7.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -63*p - 3215 - 1349 - 149 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 - o + 61. Let d(x) = 5*x**2 + 21. What is -17*d(g) + 6*s(g)?\nAnswer: -g**2 - 6*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56132, -112350, -168568, -224786, -281004?\nAnswer: -337222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1487500 and -53\/3150.\nAnswer: 13387500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/6 - 133315*a - 53318667675\/2 = 0. Calculate a.\nAnswer: -399945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90037.52 millilitres?\nAnswer: 90.03752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, 1 in descending order.\nAnswer: 16, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 167382983 + 167382983.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 348 (base 10) to base 14\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/2)\/3)\/(20\/40)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -115\/14*o**4 - 1\/7*o**2 + 16*o + 0 - 1536\/49*o**7 - 320\/7*o**6 - 188\/7*o**5 - 10\/7*o**3. Factor r(m).\nAnswer: -2*(3*m + 1)**2*(8*m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1b39?\nAnswer: 1b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -647476 or -647470?\nAnswer: -647470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z - 195. Let h be i(11). Let n(x) = 357*x + 21. What is the units digit of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30494.87 years in months?\nAnswer: 365938.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(-7 + (-3501)\/(-36)) is divided by 117?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.55 in 0.5, -1\/3, -0.009?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*2*918\/(-9180).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8460118130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 50 = 11*n. Let h be (-990)\/(-25) + (-8)\/(-20). Let g = h - -31. What is the remainder when g is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**(-2\/3))\/(c*c**(-1))**(1\/20)*(c*c*c**0*c)**(-2\/5)\/(c**(1\/5)*c*c**6) assuming c is positive.\nAnswer: c**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/5)*q)\/(q\/q**(-10)))**(-3\/2)\/((q\/(q**2*q))**(-3\/22)*(q\/(q\/q**(-2)))**(-12)) assuming q is positive.\nAnswer: q**(-1251\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/24 - (-2)\/(-6). Let g be ((-1)\/(-18))\/(198\/(-36)). Let n = g - 181\/1683. Which is the closest to v? (a) -6 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 - 5*a + 7. Suppose -422 = -2*n + b, 2*b + 524 - 1588 = -5*n. Let q(u) = -3*u**2 - 414*u + 205*u - 4 + n*u. Determine 3*l(z) + 5*q(z).\nAnswer: 3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07967 - 0.1111.\nAnswer: -0.03143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 1:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258184.73 take away -8812?\nAnswer: -1249372.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmddmdgmmdmmdmmmmmdd. Give prob of picking 1 m and 1 d.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1, 5986 in increasing order.\nAnswer: -3\/4, 1, 5986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 150326 divided by -73\nAnswer: -150326\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -0.085268?\nAnswer: 0.614732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 662 = -3*y, 0 = -r + 3*r + 3*y - 269. Calculate the highest common factor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 187?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 409396 - 409396.05800264. Let o = 0.062 - 0.004. Let l = o + n. Round l to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 12483*c + 112590.\nAnswer: -3*(c - 9)*(c + 4170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 3.758.\nAnswer: -15.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 + 2*f - 5. Let y(q) = 5*q**2 + q - 5. Suppose -5*k + 3*m + 37 - 11 = 0, -2*k - 1 = -5*m. Let l(c) = k*y(c) - 6*x(c). Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = 5*w + 127, 5*w + 123 = 2*t. Let x = 48 + w. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h\/h**(-2\/5)))*h*h)\/h)\/h)**40\/(h**(2\/3))**38 assuming h is positive.\nAnswer: h**(212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -57411, -4, 125 in descending order.\nAnswer: 125, -4, -57411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b + 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + u + 2. Let t be g(0). Is 1\/t*14*37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 57. Suppose 4*q - 6*q = -f. Suppose q*y = 14*y - 35. Which is smaller: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2293 - -903. What is j rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*c + 4*c - 3*s, 2 = 4*c - 2*s. Factor c*w**2 + 13\/9*w + 23\/9*w**3 + 7\/9*w**4 + 2\/9.\nAnswer: (w + 1)**3*(7*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + n + 3*n + n - 2*n + (5*n - 5*n - 2*n)*(-1 + 3 + 0) + 3*n + 3*n - 5*n)*(76 + 24*n**2 - 76).\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(117))*-4.\nAnswer: -12*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*u = 19, 0 = -4*b - 2*u + 3*u + 11. Let x = -4 + b. Let r be (2 + -2 - 0) + x. Solve r*i + 3 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let k(a) = -31*a**2 - 6. Let y(w) = 435*w**2 + 85. Suppose -2*b + 5 + 7 = 0. Let l(x) = b*y(x) + 85*k(x). What is l(d(q))?\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 2 h when four letters picked without replacement from hpaahppp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let s = -37 + 43. Let p(m) = 2*m. Let u(h) = 2*h. Let j(k) = s*p(k) - 5*u(k). Give j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*n - 5*p + 5, 7*n + 5*p + 121 = 128 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -784745 or -784673?\nAnswer: -784673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16296734 to the power of 1\/2, to the nearest integer?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/4, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 6\/(-3))*23. Let p(j) = -j**3 - 22*j**2 - 52*j + 10. What is the units digit of p(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/3 - 17*g**3\/3 - 6*g**2 = 0. Calculate g.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. What is the third derivative of -2*m**2 + 2*m**5 + 3*m**l - 3*m**5 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(0 + 16). Let w = 5 + p. Calculate the remainder when -9*w\/9*1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r + 24. Let a(t) = t - 4. Let l(s) = 3*s - 9. Let b(i) = -5*a(i) + 2*l(i). Calculate b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**10)**(2\/23)*(s**11\/s)**(-19\/2))**19 assuming s is positive.\nAnswer: s**(-41135\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from jsazppsh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -212470 and 0.122?\nAnswer: 212470.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.836 + 23084.164. Let c = z - 23025.0047. Let k = -61 + c. What is k rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(5*u**4 - 2*u**4 - u**4) + (-3*u + 2 - 2)*(u**3 + u**3 - 4*u**3).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 671*i**2. Let s(u) = -23*u + 5. Calculate k(s(y)).\nAnswer: 354959*y**2 - 154330*y + 16775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 27*i**2 + 32*i + 46. List the prime factors of v(26).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, h: 2}. What is prob of sequence vhv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2071766 and 224424?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.89 to zero dps.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*25)\/(((-126)\/(-168))\/(15\/20))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3386 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -101110211122?\nAnswer: 101110211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 113 = -5*v, -4*l = 5*v - 171 + 54. Solve -j = -2*m - 82 + 74, 0 = 3*m + 4*j + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 103. Suppose f*t + 22 = -5*n - 13, 5*t - 2*n = -7. What is the nearest to -2 in 5, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 7 + 14. Let d be 1\/1*(o - 2). Suppose 5*c - d = a, 35 = 5*a + 2*c + 3*c. Solve a*r = 3*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3289, 6578, 9867, 13156, 16445, 19734?\n\"Answer: 3289*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 363 = 5*o - 357, -q + 3*o = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 5*r**3 - 4*r**3)*(-2*r - 1 + 1) - 2*r**4 + 5*r**4 - 2*r**4 + (-r + 0*r + 0*r)*(r**3 - 2*r**3 - r**3) + 3*r**3 - r**4 - 3*r**3 + 1 - r**4 - 1.\nAnswer: 19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 divided by -6.\nAnswer: -287\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 1 + (-7 - -4) + (39 - -5) + -31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11042, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**3 + 7*j**2 - 9*j + 1. Let u(i) = -2*i**3 + i**2 - i. Let k(d) = -4*u(d) + v(d). Let z(f) = 2*f**3 + 5*f**2 - 9*f + 1. Give -5*k(h) + 3*z(h).\nAnswer: h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559481.\nAnswer: 13, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubnsusubsunubusiss. Give prob of sequence bi.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 19 + 41*x + 9 - 16*x + 2*x**2 - 18. Let y(h) = -2*h**2 - 28*h + 29. Let w(j) = -4*g(j) - 3*y(j). Differentiate w(t) with respect to t.\nAnswer: 4*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-6))\/(105\/252))\/(7\/(-35)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/3 (b) -2 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(63)\/sqrt(7)) - ((sqrt(5)*2 - sqrt(5)) + 4))*2 - (sqrt(640)*3)\/(sqrt(1152)*1).\nAnswer: -8 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 30699790?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/21 + g**3\/7 - 2*g**2\/7 + 36*g. Factor f(y).\nAnswer: 2*(y + 2)*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3901*p + 22 = 3903*p, 4*r - 5*p = -28. Calculate the remainder when 331 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*j + j + 2*j - 5*j + (4*j + j - 3*j)*(-3 + 2 - 1) + j + 0*j - 4*j - 3*j - j + 6*j - 1 - j + 1.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 282037823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(1\/23)*d))**(-15\/4)\/((d**(-8)*d)\/((d**(-35)*d)\/d)))**(3\/41) assuming d is positive.\nAnswer: d**(-1662\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 19*v + 18*v + v.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t - 7 = 102*t. Which is greater: t or -45\/26?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 194*x**2 + 199*x - 279. What is n(98)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -235050, -470102, -705154, -940206, -1175258, -1410310?\n\"Answer: -235052*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p - 3*p - p)*(2 - 1 + 0) - 4767*p - 5 + 1 + 19 - 12.\nAnswer: -4763*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -822 + 300. Let s be y\/(-24) + 2\/(-8). Let k = -139 - -139.1. Which is the closest to 0? (a) k (b) s (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2107 + 5837. What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*f + 33. Suppose -21 = h + h - 3*l, 4*h + 4*l + 32 = 0. Is h smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c**2 + 3)*(23 - 79 - 51) - 3*c**2 + c**2 - 2*c**2.\nAnswer: 210*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 84 = 4*i. Find the third derivative of -2 + 32*h**3 - 44*h**3 - i*h**3 + 21*h**2 wrt h.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2940) + sqrt(2940) + (1*2*sqrt(2940) - sqrt(2940))))\/(5*sqrt(72)\/sqrt(6)*-2*4).\nAnswer: -21*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 - 77*w**3 + 158*w**3 + w**2 - 80*w**3 - w - w**4 to a*w**4 + l*w + z + c*w**3 + r*w**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 8*r + 2. Let y be w(-8). Suppose -y*s = -118 + 102. Calculate the common denominator of -121\/24 and 1\/4*-81 - 4\/s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8040344091?\nAnswer: 3, 13, 137, 167, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 5*p + 4*p)*(p + p + p + (3 + 5 - 6)*(2*p - p + 0*p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - 2 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a factor of 41971078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 - l - 3. Suppose -3*c - 47 = -59. Let k(p) = p**3 - 6*p**2 - 2*p - 4. Let j(z) = c*y(z) - 3*k(z). Calculate j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, v: 1, y: 2, l: 2, m: 3, a: 1}. What is prob of picking 1 y and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*l*s**2*v + 2*l*s*v - 3*l*s - l*v - 26*s**2*v - 256*s**2 - s - 12*v - 85873 wrt s?\nAnswer: 242*l*v - 52*v - 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3\/4, 1\/42, -0.8, -278?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -8.09. Let w = z + -7.7. Let s = -0.7 - w. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -64. Let n(f) = -3*f + 7. Let x be n(g). Solve -x*m + 13 = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*x + i - 46, 4*x = -i + 69. Let u be (-96)\/20 + 9 + (-2)\/10. Put -1, x, u in decreasing order.\nAnswer: x, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 + 3*m - 2. Let n be j(-4). Solve 2*g = -n*p + 6, 0*p - g = -5*p + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {u: 1, i: 9, c: 2, h: 1, z: 4}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 106*d**2 - 102*d + 3. Let m be c(-1). Put m, -5, 3, -13, 4 in ascending order.\nAnswer: -13, -5, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554941638 by 8781.\nAnswer: -63198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (-1 - (-17 - 10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:11 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 74 + 36 = 0. Let y = l - -13. Suppose -3*q - 33 = y*t + 20, -5*t - 107 = -q. Which is bigger: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72600 and 13200.\nAnswer: 145200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 27. Let v be b(8). Let t be (v - 0)\/((-2)\/2). Solve -4*i + 18 = c, -t*i - 2*c = -i - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 + r - 20. Give o(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2048)\/(-48128) + 8076\/188.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 145. Let v(l) = 216*l - 1312. Let s be v(6). Give m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.667 times 3.8?\nAnswer: 1761.9346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10608651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 47*f - 538. What is w(13)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -6) + (0 - 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 268*b**5\/5 + b**4\/2 + 7*b**3\/3 - 56*b**2 - 2000. What is the third derivative of l(r) wrt r?\nAnswer: 6432*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 438 and 0.4.\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4998*f + 145 = 4978*f + 25 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 432 + 586353?\nAnswer: 586785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/8 + (5 - 6))\/((-219)\/(-730)). What is the third smallest value in 21, -10\/19, n?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 5*z + 4*z)*(-692*z + 1129 - 1129).\nAnswer: 1384*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose -12 = -4*t - g*u, -4*t - 3*u + 8 = -0*u. Suppose 4*s - 5*s = j - 13, -j - t*s = -13. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q)*((-7*q**3 + 3*q**3 + 0*q**3)*(0*q + 4*q - 2*q) - 2*q**4 + 6*q**4 - q**4)*(-2 + 0 - 2)*(6 + 4 - 3).\nAnswer: 140*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/10515 and -2\/1899.\nAnswer: 6655995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fofo when four letters picked without replacement from {f: 2, o: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**3*d**(-6)\/d**(2\/5)*(d**(-4)\/(d**(2\/7)*d))**32 assuming d is positive.\nAnswer: d**(-6102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2913775586.\nAnswer: 2, 167, 8723879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 19 + 11 = 7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 141*k - 2779. Determine i(-110).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -164, 2, -1\/5 in descending order.\nAnswer: 3, 2, -1\/5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.63052 rounded to 1 dp?\nAnswer: 506.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -0.009 in decreasing order.\nAnswer: -0.009, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 15, 0, -257 in ascending order.\nAnswer: -257, 0, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.96 (b) -5 (c) 2\/3 (d) 200\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 5127*x\/2 - 8762043\/4.\nAnswer: -3*(x + 1709)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(612) - sqrt(612))*2)**2*3*-5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 171, 157, 137, 111, 79?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318967963*n**4 + 54195*n - 388 wrt n.\nAnswer: -3827615556*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 760*g**5 - 2337*g**5 + 1 - 1405*g**5 - 1 + 1378*g wrt g.\nAnswer: -59640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4376 + -10238?\nAnswer: -8b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let m = 4 - q. Let h = m - 1. Which is smaller: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*t - 4 = 392*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 + y - 4. Let d = -3 + 0. Let m be v(d). Solve -m - 7 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2056 - 1439. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - y - 17, 23 = 6*q - q - 4*y. Suppose -q*c + 3 = -2*c. Suppose m + 22 = -v + c*v, 5*m = -4*v + 58. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvzvzz. What is prob of sequence vvzv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 89*q**2 + 10*q - 140. Let w be f(-18). Solve -3*s + 3*u = 50 - 29, -u - 3 = w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57324154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/2 - 4*d**2 + 16. Find the second derivative of n(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -49\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011110011100011 - 1?\nAnswer: 110011110011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4 = -4*n, -65*b + 63*b + 4 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:30 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1280*w**4 - 15*w**3 - 2*w**2 + 217897*w.\nAnswer: -15360*w**2 - 90*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2295 (base 10) to base 6\nAnswer: 14343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -4 (c) 0.13 (d) 2 (e) 15 (f) 5.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.82 decades in millennia?\nAnswer: 1.3282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (396\/2)\/(-3)*(-16)\/48?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*m - 94 + 99, m - 11 = 4*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-26) + (-270)\/65. Let h = -1 - s. What is the second derivative of -39 + 39 - 6*j - 7*j**h wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2222*(-3454)\/(-33). Let u = 2\/303 + g. Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 505 and 19291?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 12*q - 6. Let w be c(-17). Let f = w + 165. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4 + 5. Suppose 3 - w = o. Solve 1\/3*b**4 - 2\/3*b - 1\/3*b**o + b**3 + 0 - 1\/3*b**5 = 0 for b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010101100101 - -10?\nAnswer: 1101010101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 76. Let r = 34 - q. Let u(b) = -b**3 + 13*b**2 + 13*b + 17. Let x be u(r). Solve 2*f - x*t - 1 = -0*f, -3*t - 8 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 20.9. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27138376*b**2*j**3 + 228*b**2*j**2 - 53*b**2 + b*j**3 - b*j**2 - 14*b*j - 5*j**2 + 1 wrt j?\nAnswer: 162830256*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 15 = -1. Put f, 11, 0 in increasing order.\nAnswer: f, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmzjh. Give prob of sequence hj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74339659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 - 17*h - 15. Give o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 14\/8. Let s = 474 - 129. Suppose 0 = 351*j - s*j - 30. Solve 3*n = g*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 8. Let p(y) = -4*y**2 - y**2 + f*y**2. Let l(a) = -2*a - 52. Let b(i) = 6. Let u(n) = -52*b(n) - 6*l(n). Calculate p(u(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/14*32\/36. Solve 5*f = g - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*210*714\/8330.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26940883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680263222452 + -2.\nAnswer: 680263222450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 + -591. List the prime factors of ((-1)\/2)\/(2\/n).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c + 10. Let f = -483 - -503. Calculate the highest common factor of f and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159.786 - -0.414. Let l = y + -19.6. Round l to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6257820.\nAnswer: 2, 3, 5, 104297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Suppose 0 = 3*u + 3*i - 9, -5 = -4*u + 3*i - 0*i. Let s(m) = -2*m + m - m - u*m. Calculate f(s(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -301524*u + 3316777. What is l(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-7*f + 6*f - 31*f)*(2*f + 0*f - 3*f).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03152 and -318.\nAnswer: -10.02336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24873772*p*s - 36088244*p wrt s.\nAnswer: -24873772*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004879850156 rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*i**3\/5 + 4077126*i**2\/5 + 1812032*i\/5 + 201336\/5.\nAnswer: 2*(i + 25167)*(9*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/9 (c) -1\/12 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + (-4)\/(-14). Suppose 4 = l + 8. Let b be 0\/l - -1 - -12. Solve 2*n + 1 = -a*t + t, n - b = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -65, -155, -281, -443, -641?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2. Let x(n) = -10*n - 16. Let o be x(-7). Let i(h) = -37*h - o*h + 104*h. Determine i(p(l)).\nAnswer: -104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**(-3\/16)\/t)\/t)\/t)\/t)\/t)\/t**1)\/(((t\/(t*t**4))\/t)\/t)**(-8\/11) assuming t is positive.\nAnswer: t**(-1681\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 133*t**2 - 1. Let h be d(-1). Suppose -4*n = h - 368. Suppose -5*x + n = -1. Solve -3*p = -p + 3*q - x, -p + 3*q - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27386, 54764, 82142, 109520?\n\"Answer: 27378*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40*(-7)\/(-21))\/(2\/27).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -877, 175, 13, -8 in increasing order.\nAnswer: -877, -8, 13, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 518781769 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 697.79412 to the nearest integer.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 6*z = -3*t - 22*t + z + 220, -t + 6*z = 278 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = -5*u + 23, -4*k - 16 = -4*u. Suppose -2510 = -2*d + m - u*m, -5*m = -2*d + 2465. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55, 144, 211, 262, 303, 340?\n\"Answer: n**3 - 17*n**2 + 133*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.125 - 10. Let m = p + -0.025. Which is bigger: m or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/530 - 927\/265. Calculate the common denominator of -99\/2456 and b.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(32\/55)\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(63) + (sqrt(252)\/sqrt(4))**2 + sqrt(63))*-4*-4.\nAnswer: -3024 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44509, -44658, -44807, -44956, -45105?\nAnswer: -45254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -788, -1182, -1576?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18138, 18150, 18162, 18174?\n\"Answer: 12*n + 18126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 4422092?\nAnswer: 13266276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 673\/1701, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Suppose 0 = g*c + c + 20, -3*n + 10 = 2*c. Suppose -3*p - 51 = -n*p. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-2 - 1 - -3). Suppose 8 = v*n - 0. Solve -n*o - 3*d = 15, -o - 7 - 5 = 3*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 9*w + 92 + 6 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let i(s) = 4049*s**2. What is i(j(a))?\nAnswer: 101225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.9, 2, 0, -2.44?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 395\/28 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16733901, 16733899, 16733895, 16733889, 16733881, 16733871?\nAnswer: 16733859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 12. Is p > 2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((-12)\/24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-572)\/19305*81)\/(6\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56\/557 - 50693\/11140. Find the common denominator of -85\/12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 1. Let d = n + 5.6. Let x = d + 5.4. Which is the third biggest value? (a) x (b) -3\/5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.115 - -0.385. Put 3\/4, -1\/9, -1\/3, x in descending order.\nAnswer: 3\/4, x, -1\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9547, -18174, -26801, -35428, -44055?\n\"Answer: -8627*h - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3 = -y - 4, 3*y - 9 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {d: 1, l: 3, z: 4, k: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + 40\/12. Suppose c - 6*k = -11*k + 25, -2*c + h*k - 6 = 0. Let a(d) = 10*d + c*d - 14*d. Let s(u) = -u**2. Calculate a(s(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3*(-12)\/4)\/(-1). Let k be -1 - u\/(1 - 4). Suppose 0 = k*c - 4*w - 14, w - 1 = -3. Solve -y = -c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 2. Let q(l) = -1. Give 2*f(s) + 4*q(s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 18358.7 to the nearest 100.\nAnswer: 18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (11 + (0 - 1) - (1396 + -1282))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3\/3 + 2. Let v(q) = 14*q. Let o(u) = u. Let x(j) = -3*o(j) + v(j). Give c(x(f)).\nAnswer: 242*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -23937 to the nearest 100.\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/((-856)\/(-18))*8\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 336. Let u(o) = 647483*o + 2. Give u(d(i)).\nAnswer: 1294966*i + 217554290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45787 + 45787 - u + 37*u**3.\nAnswer: 37*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 179*p**2 - 5*p + 16. Let q(c) = -119*c**2 + 4*c - 10. Let d(n) = 5*o(n) + 8*q(n). What is the second derivative of d(w) wrt w?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 7c322?\nAnswer: -7c322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(1 + 2 - 1)*(-3*l + 0*l + l) + (3 - 4 + 0)*(-6*l + 37*l + 0*l) + l + 0 + 0 to the form f*l + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let a(f) = 77539988*f**2. What is a(z(c))?\nAnswer: 77539988*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 30*m - 81. Let j be x(27). Let a be (j - 5)\/(-5 + 4). Solve -a*h - 4 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*(-15)\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*j - 32*j + 6402 + 462 = 0. Suppose 0 = k - 5*h - 46, 3*h - 186 = -3*k + 6*h. What is the highest common divisor of k and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613.6546 rounded to the nearest 10?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -12*y + 8*y. Solve -a + 5*f + 29 = 0, 2*a + 2*f - y*f = 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18 = 5*r - 3*t, 2*t - 4 = -2*r. Let k(n) = -n**2 - 13*n - 7. Suppose 4*g - 15 + 63 = 0. Let o be k(g). Solve l + r*l + o = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.36621 * 0.17\nAnswer: -0.0622557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 3*c**2 + 2*c. Let z(w) = 2*w**3 + 6*w**2 - 4*w - 1. Let n(u) = -9*q(u) - 4*z(u). Let l be n(-4). Let m = l - -4. Solve m = 2*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2642*x - 73455. What is g(-28)?\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/8 - 207*v**2\/4 + 102*v.\nAnswer: 3*v*(v - 136)*(v - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26925384 divided by 13336.\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7302317 is divided by 529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let o(a) = -14*a + 11. Let d(r) = -9*r + 7. Let s(b) = 8*d(b) - 5*o(b). Calculate s(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -2 - (11 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 31*m**2 - 24*m + 26. Is r(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -28*c - 310. Let d be x(-11). Let v(r) = r**2 - 3. What is v(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1330*u**3 + 1089*u**2 - 296*u + 28. Let s(h) = h**3 + h + 1. Let k(t) = -5*g(t) + 5*s(t). Factor k(y).\nAnswer: 5*(11*y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -50, 11, 128, 319, 602, 995?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 28*r - 73. What is the remainder when 637 is divided by k(-33)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 25. Suppose -w*z = -8*z + 276. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.6 + 0.4. Let l = g - 84. Which is the smallest value? (a) 0 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/18*(-6)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/11 (b) 2\/9 (c) 9 (d) -4 (e) 53.4 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 29 = 3*g - 5*l, 4 = -3*g + 2*l. Suppose 4*d + 0*d - 52 = -h, -4*d + 40 = -g*h. Solve 4*c - d = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + 1 + -1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let a = f - -36. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4779?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 - -111?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 52*a**2 - 4. Suppose 2*g - 3*y - 7 = 1, 0 = 2*g - y. Does 35 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 101451780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 35*u. Let a(t) = 134 + 3*t**2 + 10*t**2 - 134. What is a(d(v))?\nAnswer: 15925*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 0 - -2) + 1. Suppose 4*o = 0, d*v = -6*o + o - 35. Let r(n) = n + 4*n**2 - n**3 - 2 + 2*n**3 + 3*n**2. Calculate r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2310 + 2296. Let r(f) = -f**2 - 16*f + 9. Give r(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let u be (-14)\/(-8) - 1\/(-4). Let q(x) = -x - u*x - 2 + 0. Suppose -g + 6 = 11. What is g*l(f) + 2*q(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 91.7. Put y, 4, 10 in decreasing order.\nAnswer: 10, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose -p = 5*v - 4 + 9, -3*p - 15 = 2*v. Sort 3, p, 2, k in decreasing order.\nAnswer: 3, 2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 12:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.8232ml in litres?\nAnswer: 0.9518232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6.747 (b) 1\/35 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 47 = 4*w - w, 4*w + 3*d = -71 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 7*q**3 + 68*q**3)*(-32 + 100 + 17).\nAnswer: 5610*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b - 2*b**3 + b**3 + 4 - 4 to s*b + x + j*b**3 + o*b**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1485 - 771. Suppose -5*n - n = -u. What is the remainder when n is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/(6\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1006 and -0.254.\nAnswer: 255.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*f + 259*f + 108*f + 138*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 0.0073.\nAnswer: -20, -1, 0.0073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/5 - 2\/(-5). Let v be (-23)\/((5 - 77\/21)\/8). Let k = d - v. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*t = -346*t - 5460. Suppose 10*f = 3*f + t. Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/(q**(-1)\/q)*q**1\/((q**8\/q*q*q)\/q)*((q**7\/q)\/(((q*q*q*q**6)\/q)\/q))\/(((q\/(q*q*q**2*q))\/q*q)\/q*q**(1\/14)) assuming q is positive.\nAnswer: q**(-137\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -748 by 3.\nAnswer: -748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/((-32)\/(-128))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250 + 232. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14*10\/286 + 14\/(-77). Find h such that z + 2\/13*h**2 + 6\/13*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 15. Let z be ((-45)\/(-10) - 4)*0. Calculate the remainder when 41 is divided by f(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27863052.\nAnswer: 2, 3, 7, 89, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 + 324.9. Let d = v - 57. Let k = d + -4. Put -2, 2, k in increasing order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442750997 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k)**47\/(k\/((k\/(k*k*k**0\/k))\/k))**(-24\/13))**(-16\/9) assuming k is positive.\nAnswer: k**(-25208\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.6. Let z = 0.1 + 0.1. Let g = z + d. Which is the biggest value? (a) g (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 884*f - 24740. Calculate n(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -420*f**2 + 864*f**2 - 367*f**2. Let h(v) = 2*v. What is g(h(t))?\nAnswer: 308*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 + 6*g**4 - 2*g + 2 + (4*g**2 + 2*g**2 - 4*g**2)*(-7 + 4*g**2 + 7) to b + i*g**2 + p*g**4 + l*g + v*g**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28371, -28382, -28397, -28416, -28439, -28466, -28497?\n\"Answer: -2*l**2 - 5*l - 28364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*z + 4*z - 73 = 0, -3*m + 3*z + 511 = 547 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5913, -2296, 3739, 12198, 23087, 36412, 52179, 70394?\nAnswer: 91063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (183\/(-45) - -3)*(60 + (-4095)\/70)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 + 8\/(3840\/(-156)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13490778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 98670.\nAnswer: 98665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = 15. Let o be w\/(6\/(-8)) + 1. Let v(m) = m**3 + 3*m**2 - m + 3. Determine v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32233500 divided by 900.\nAnswer: 35815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 176*n**2 + 1748*n - 4232.\nAnswer: 4*(n - 2)*(n + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 6*m + 12*m)*(69*m**3 - 91*m**3 + 104*m**3 + 7*m**3).\nAnswer: 445*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -160.96.\nAnswer: -643.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138202*c**2 + 51998*c**2 - 74095*c**2.\nAnswer: -160299*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15517, -62034, -139561, -248092, -387621, -558142?\nAnswer: -759649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 - 52179*x**4 - 13*x**2 + 1037*x?\nAnswer: 60*x**2 - 1252296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - g**4 + 0*g**4)*(1 - 4 - 3)*(-2 + 3 - 2).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-55)\/20*-36. Calculate the greatest common factor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**3 - 74*h**2 + 32*h - 12. Give d(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/10)\/(23\/115). Solve 4*p = b - 1, b - 17 + z = -5*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -821, -1829, -3237, -5045, -7253?\nAnswer: -9861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, b: 2}. Give prob of sequence vvb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -578, -581, -584, -587, -590?\n\"Answer: -3*p - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 34. Let u = 30 + s. Let d be (12\/(-4) - -1)*u. Which is the biggest value? (a) 0.5 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009913643 rounded to six dps?\nAnswer: -0.000991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.2 + 12.436. Let v = s - -0.064. What is the nearest to 0.19 in v, 3, -2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 7*s)*(-3 + 1 + 4)*(0*s**2 - 3*s**2 + s**2) as p + l*s + f*s**2 + b*s**3 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 - 753?\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568543 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 7*a - 20. Let f be k(-6). Sort f, -1, -5, 0 in decreasing order.\nAnswer: 0, -1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594660 by 2332.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5330920 is divided by 1332727.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184160049 and 13543.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + (-705)\/(-135). Suppose -16 = v*s - 4*w + w, -s - 12 = -5*w. Let g be 3\/(1*4\/s)*-2. Solve 0 = -n + 3*h - 2, -3*h = g*n - 7*n + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.97 - -3.97. What is the nearest to 1 in 2, l, 0.01?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 = 843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -1478, -4916, -11550, -22430, -38606, -61128, -91046?\nAnswer: -129410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88557161?\nAnswer: 7, 11, 164299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 16\/21 (b) 0.3 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 1, n: 5, l: 3, m: 1, x: 6}. Give prob of sequence vvn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14*f*f*f\/(f*f\/(f*f**(1\/2))))\/(f**(-1\/2)\/(f\/(f**(-5)\/f))) assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14622.\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*h*j**3 - 3*c**2*h + 80*c**2*j**2 - 3*c**2 + c*h*j**3 - 11*c - j**3 wrt c?\nAnswer: -2*h*j**3 - 6*h + 160*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36642 or -36635?\nAnswer: -36635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 106. Let f = z + -51. Solve 0 = -0*x - f*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.053 + 27.753. Let n = -27.69855 + g. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-30)*5\/(-2). Suppose 0*o + o - 5 = -5*d, -s*d + 17 = 2*o. Suppose 0 = w - 4*g - o, 3*w = -4*g - g - 4. Solve w*p = a + 2 - 0, -5*a + 17 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4788\/643 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.1 + 6. Let q = -1033042 - -1033041.89999986. Let l = v - q. What is l rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 6*a - 437. Calculate t(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/9 + 9303092*u - 97365960855522 = 0?\nAnswer: 20931957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*w**2 - 401*w**2 + 752*w**2.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 231224?\nAnswer: -231352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1201 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47440365557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 23 - 3. Suppose -4*x - 7 = 5*k, -3*x + 8 = 5*k - i*x. Is k bigger than -3\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/5 + 8*r**3\/5 - 7*r**2\/5 - 10*r + 48\/5 = 0.\nAnswer: -8, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 - 3388*y - 1692.\nAnswer: -4*(y + 423)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-three fifths of a millimeter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -752 + 422. Let r = m + 620. Suppose -79 = -z - 3*x, 0 = -2*z + 6*z - x - r. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(175) + sqrt(175) + sqrt(175))\/sqrt(7))\/(sqrt(15)\/sqrt(27)) - ((sqrt(60)\/sqrt(8))\/(sqrt(864) + 1*sqrt(864) + sqrt(864) + sqrt(6)))**2.\nAnswer: -5\/5476 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 - 207. Solve 28 - z = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050654 = 14241*m - 700034 + 771189 for m.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3798a (base 12) to base 9.\nAnswer: -124757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, -2, -177, -532, -1127?\n\"Answer: -10*d**3 + 15*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 6*b + 3. Let p be q(6). Let i(n) = n - 3. Let z be i(6). What is the second derivative of -h**3 - 3*h**p - 3*h + 3*h**z wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 105*w = -90. Let n be (-9 - -3)\/((-4)\/((-40)\/w)). Sort 2, -4, 1, n in increasing order.\nAnswer: -4, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.09\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 74, 5, -3, -0.3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97419676 is divided by 24354919.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c*c*c*c\/c**0*c)\/((c*c**(-2))\/(c\/(c\/c**(1\/12)))) assuming c is positive.\nAnswer: c**(487\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**4 + 16*a**3 - 409?\nAnswer: -28*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -665c4 (base 13) in base 2?\nAnswer: -101101010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + sqrt(175) + -2*sqrt(175) + -4)*1 + -4)*3*-6 + -3)**2.\nAnswer: 19881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1850*r**3 - 18*r**2 - 7923923*r + 1?\nAnswer: -11100*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.189 from -0.16.\nAnswer: -0.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/24*(-42)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -626.8 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -88*q**3 + q**2 + 4*q - 4. Determine y(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 14, 2, -10, -22?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577258 by 1381.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t**6 + 30*t**2 + 24*t**6 - 2*t**2 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 82. Suppose -z - 2 = -6*z + 3*u, z = -u + 2. Sort o, z, 0 in descending order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -2*z**5\/5 - 3*z**2 - 4*z. What is the first derivative of y(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78812, -156308, -233802, -311294?\n\"Answer: m**2 - 77499*m - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + 2*x**2 + 266 + x**2 to the form i + z*x + a*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 15258254*t**2\/5 + 30516523*t - 76291320.\nAnswer: -(t - 5)**2*(t + 15258264)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2716 and 1036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-2*-5 + (sqrt(405) + -1)*-6)**2 + -1*((sqrt(405) + (sqrt(405) - -2*sqrt(405)))**2 + sqrt(405) + -2))*-6.\nAnswer: -2538*sqrt(5) - 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-42))\/(18\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 5*z + (1 - 1 - 1)*(-5*z + 0*z + 3*z))*(-2*z - z + 0*z)*(3*z**2 - 7*z**2 - z**2).\nAnswer: 45*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:04 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 260941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9738338.\nAnswer: 2, 23, 269, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 168. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 - 18*t + 25. Give q(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 + 3*i**2 + i**2 + i**2 - i**2 + (-5*i + 2*i + 2*i)*(-2*i - 3*i + 3*i))*(-24688*i + 24688*i + 1426*i**2).\nAnswer: 7130*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 2496*n + 204935 = 0. Calculate n.\nAnswer: 85, 2411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 1:11 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2743940230\/3003 - -913733. Find the common denominator of w and -43\/130.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + 5*(sqrt(2592) - -4*-1*sqrt(2592))*-6*-6)**2.\nAnswer: -77760*sqrt(2) + 755827203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/(2\/4). Let r = 8 + m. Suppose -6*f = -r*f + 192. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -y - 9, g - 10 = 3*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111101?\nAnswer: 10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w**3 - 23*w**2 - 36?\nAnswer: 12*w**2 - 46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 5*k**3 + 20 - 20.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**8\/420 + u**6\/30 - u**5\/15 + 7*u**3\/6 - 3*u**2. Let l(a) be the first derivative of y(a). Find j such that l(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 12. Let y be (m\/(-6))\/(2\/(-6)). Suppose 48 = -q + y*q. Calculate the lowest common multiple of 4 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -4\/7, 2, 0.2, 17\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*r - 10, 7*r = 10*r + 15. Sort 0.88, -8, i in descending order.\nAnswer: 0.88, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - -3 - 4) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 + 92. Let g be u\/18 + (-2)\/(-9). What is the remainder when ((-2)\/(-8))\/(g\/(-32)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660192 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65\/4 + -17. Let z = -50.06 - -51. Let b = z - -0.06. What is the closest to b in 1, 2, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*-5*(-3)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 11) to base 10.\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-1 - 12) - (-3 + 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54153 and 3829.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 1. Let t be (-32)\/56 - 10\/7. Let x(a) = a + 3. Let f be x(t). Give o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -72*x - 999. What is the tens digit of j(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 - 7)*((-5 + 4 - 3)*(2 - 1 - 3) - 5 + 2 + 1)*(10*v + 34*v - 10*v).\nAnswer: -1020*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 4 = -454. Suppose -36*s = -p*s - 165. What is the remainder when s is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*b*p*q + 7*b*p + 3*b*q - b + 4*p**2 - p*q - 2481*q wrt p.\nAnswer: 6*b*q + 7*b + 8*p - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g - 13*g + 5*g in the form x + n*g and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 2*i - 87, 0 = -5*i - 4*d + 212. Calculate the highest common divisor of i and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2097.714 to the nearest integer.\nAnswer: -2098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918538, 1837082, 2755628, 3674176, 4592726, 5511278?\nAnswer: 6429832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78848 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24 + 3*y**2 + 52 + y - 30. Let m(i) be the second derivative of i**4\/3 - i**2 - 2*i. Let l(z) = -3*j(z) + 2*m(z). Determine l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 621.98 - 622. Which is the second biggest value? (a) 2\/7 (b) -6 (c) s (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m = 38*m - 356. Let o = m - -92. Suppose 0 = -o*y + 5*j - 9*j + 33, -3*y = -j - 33. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/68*(-4)\/10\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89\/780 + -2\/65. Is -2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 6*w - 6*w)*(8*w**2 + 11*w - 11*w) to the form y*w**2 + j*w + o + u*w**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - 18*a)*(-3 - 1 + 5) + (-a + 1 - 1)*(-2 - 3 + 2) + a + a - a + 2*a + 8*a + 10*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015760 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 134259084 and -0.01049?\nAnswer: 134259084.01049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5204*j**2 - 79*j - 66*j + 145*j - 13106*j**2.\nAnswer: -18310*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 11. Let x(u) be the third derivative of u**4\/2 + 22*u**3 + 72*u**2. Let z be x(-11). Determine r(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -92*l + 87*l. Let j(n) be the second derivative of 5*n**4\/12 - n**3 - 10*n**2 - 8*n. Let o be j(-3). Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 o, and 1 w when four letters picked without replacement from gttwkkkwxxgowxwgtgtk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 22 in decreasing order.\nAnswer: 22, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*m - 12, n = -0*m + 3*m + 5. What is the highest common factor of n and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 0*k = 48 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*j - 3*j = 22, 5*v + 2*j = 30. Solve 3*z + z = v*p - 16, -16 = 4*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/5)\/((-14)\/35). Suppose -15 = -3*y - f*y. Suppose 3*i = -2*v + 13, y*i + 8*v = 4*v + 23. Calculate the least common multiple of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2 (b) -4 (c) 0.0284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54290.\nAnswer: 2, 5, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21980 less than -0.66?\nAnswer: -21980.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 55. Let b be d(-18). Let u = 0 + 0. Solve u*w - h + 10 = 4*w, -3*w = 5*h + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227.9 - -192. Let i = t + -3.1. Let v = 38.9 + i. Which is the nearest to v? (a) 0.1 (b) -0.2 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 7. Suppose x*k = 3*k + 35. Suppose -k*t + 42 = -2*t. What is the lowest common multiple of t and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*6*(sqrt(204) + sqrt(204)*-1 + sqrt(204)))\/((sqrt(84) - (1*sqrt(84)*4 + sqrt(84)))\/sqrt(7)))**2 + 0.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -10)*-1 + -3. Find t such that -24*t**4 - t - x*t + 48*t**3 - 2 - t - 2*t**2 - 8*t**4 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18630 = 2*r + 105*a - 100*a, 2*r = a + 18642. Is r a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3853\nAnswer: 7706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose 0*w + 4*o + 8 = -w, -5*w + i = -o. Is w smaller than 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/16)\/(3\/16). Let d be (6\/(-3) + 0)*(7 - 8). Solve -g - a = d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.03\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3*m**2 - g**3 + 28273731*g**2*m**4 + 2946*g**2*m + 3043*m wrt m?\nAnswer: 6*g**3 + 339284772*g**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1681865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 27 (b) -0.9 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n, -a + 2*n = 6151 - 71680. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 15.\nAnswer: 124\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 0 - 3 - 2*u + 1 + 3*u**3. Let y(q) = -16*q**3 + 11*q**2 + 11*q + 9. Let g(h) = 11*p(h) + 2*y(h). Differentiate g(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.88963 litres?\nAnswer: 8889.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n**2 - 5*n - 2. Let z be r(-3). Suppose z*m + g = 2*g + 649, 818 = 5*m + g. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 13*y - 18. Let s be z(11). Let k(x) = x - 2. Let j be k(s). What is the third derivative of -4*v**2 - v**3 - 2*v**2 - v**j - 3*v**3 wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:55 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-86)\/(-11) + (-10)\/(-55). What is the remainder when 29 is divided by (-2 - (-68)\/4)*q\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 335708*t**2\/9 - 20808130*t\/9 - 322496224\/9.\nAnswer: -2*(t + 31)**2*(t + 167792)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + n = -5595, -3*n - 5570 = -5*o - 7*n. List the prime factors of o.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 177285?\nAnswer: 177280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03703, 2, -4\/19, 0, -0.1 in increasing order.\nAnswer: -4\/19, -0.1, 0, 0.03703, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 2 + 18*r**3 + 5*r**3 - 2*r + 3*r**2 in the form u*r + z*r**3 + x*r**2 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*i**3 + 28 + 1362*i**3 + 3*i - 28 - 2*i in the form j*i**3 + d*i + c*i**2 + a and give j.\nAnswer: 1693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -3 (c) 25 (d) 2\/679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1580 + -1583.013. Let f = g + 0.013. Which is the smallest value? (a) 0.1 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232013 (base 6) to base 14.\nAnswer: 7361","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: (2 - -12)*((-108)\/1404 - (-25)\/(-13))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/10 (b) 0.7 (c) 1\/4 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) -0.4 (c) -2 (d) 498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:38 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1495659.483 and -0.017.\nAnswer: -1495659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, j: 1, n: 1, b: 5}. Give prob of picking 1 b and 1 t.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose -3*d = -u*d - 39. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 29.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:52 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-15 - -7)) + 11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 1836008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*p = -4, p + 3 = 1. Suppose -n + t = -1. What is the highest common factor of 18 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 45. Let r(a) = -8*a**3 - a**2 - a. List the prime factors of r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**6\/540 + v**5\/180 - v**3\/3 - 1. Let m(u) be the third derivative of s(u). Factor m(z).\nAnswer: 2*z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/20)\/4*0. Which is the nearest to -0.2? (a) k (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-278)\/(-7367) + (-410)\/2438?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69600010 = 2*z - 0*u - 2*u, 4*z - 3*u = -139200015. What is z rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 431 (base 6) to base 16\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*r**2*u**2 - 4*r**2*u + 2684*r*u**2 - 1870495*r*u + 10*u**2 wrt u?\nAnswer: -78*r**2 + 5368*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 14. Let h be v(6). Let f be (h - 2)\/(-1 - 0). Is f equal to 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540369569992.63 take away 0?\nAnswer: -540369569992.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*b = -21, 3*b + 11 + 17 = -4*l. Let c be l*(19\/7 - 3). Solve 0 = -4*i - 2*z - c, -37 = 4*i - 7*z + 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 - 3*s**4\/4 - 3*s**3\/2 + 5*s**2\/2 + 21*s\/4 + 9\/4.\nAnswer: (s - 3)**2*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -2.6, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/2 + 948277*y**3\/3 - 5268281*y**2\/6 - 210731*y = 0 for y.\nAnswer: -210731, -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1410?\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181885748 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) + (24\/28)\/((-8)\/(-28)). Solve -3*h - 1 = n*z - 15, -5*h + 15 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w - 38. Let a(n) = -7*n + 13. Determine 17*a(v) + 6*d(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7215369, -14430744, -21646117, -28861488, -36076857, -43292224?\n\"Answer: f**2 - 7215378*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -11*m + 5*m. Calculate the remainder when 48 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -34. Let o = -0.03 + 0.33. Which is the second biggest value? (a) -2 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5 + 25*b**4 + 15*b**3 - 65*b**2 - 40*b + 60 = 0. Calculate b.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2325325, 4650662, 6976013, 9301384, 11626781?\n\"Answer: f**3 + f**2 + 2325327*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20) - (72\/(-80) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2))**(-24)\/((f\/f**(7\/5))\/f**(-7)) assuming f is positive.\nAnswer: f**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - (2\/(-5) + (-297)\/(-55))\/((-480)\/960)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m - 52. Let d(k) = -k**2 - 20*k - 106. Let o(g) = 2*d(g) - 5*j(g). Let o(h) = 0. What is h?\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2050*j + 876*j - 958*j in the form s*j + h and give s.\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - 4*n + 5. Let h be g(-5). Factor 0 + h*j + 1\/2*j**2.\nAnswer: j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/12)\/((-5)\/20). Factor -1\/3*d**4 + 2\/3*d**2 + 0 - h*d**3 + 0*d.\nAnswer: -d**2*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 12*c**2 - 13*c. Let y(s) = -5*s - 5. Let m be y(-3). Let d be 8\/m - 671\/(-55). Let v be u(d). Solve v*n = 3*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -430 + 2540. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Is 6 a factor of h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 48. Let g = -37 + s. Let h = g - -8. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*w**2 - 6368*w\/5 + 48\/5.\nAnswer: 4*(w - 6)*(265*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156618949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*o + 15, -183*b + 187*b - 12 = 3*o. Let t(r) = 0*r - 4*r + 2*r. Let i(p) = p. Determine b*i(s) + 2*t(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -50. Let n(r) = r**3 - 9*r**2 - r + 17. Let p be n(k). What is the third derivative of -5*w**2 + 15*w**4 + 3*w**2 - w**2 + p*w**2 wrt w?\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*f = 2766 + 271 + 883 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -134, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-6.79.\nAnswer: 312.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45434, 90873, 136316, 181763?\nAnswer: 227214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2851160000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, g: 1, d: 2}. Give prob of sequence js.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v + 18. Let w be n(8). Let b(x) = 36*x - 33*x - w - 6. Let y be b(12). What is the highest common divisor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12544 - -12543.3. Which is the nearest to 1\/2? (a) i (b) 24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1\/3 (c) -0.3 (d) -0.6247 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*n - 7*b + 7, -3*b = -n - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6208 and 17945.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 158\/6 - 2\/(-3). Let s = 39 - r. Suppose 0 = -3*q - 0*d + d + s, 3*q = 4*d + 12. Is q not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 4, e: 2}. Give prob of sequence eb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 15*u**2 + 246*u - 2841. What is v(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42271584 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*a - 589*a + 264*a - 2446 = 3212 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2908 = -384*f - 1070*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 11*p + 9*p + 7, 0 = 6*s - 5*p - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -20101200?\nAnswer: -20101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 1116938 - 1116938.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b1a (base 14) in base 6?\nAnswer: -3430232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 - 1. Let n be i(1). Suppose 81 = 4*q - 5*l, -2*q + 0*l + 38 = -2*l. What is the units digit of (-4)\/n - (-122)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from xhxttthhxhhx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 16*c - 4. Let q be n(0). Is 36 a factor of 328 - 0 - -1*(q + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 141 = -c - 5*w, c + 4*w - 38 = 0. Let g be (-2)\/(-2) + -30 + c. Solve -5*x = -g*t - 15, 0 = -5*x + 2*x + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 3 - -7) + 0. Suppose 4*f = a*f - 348. Suppose 0 = 4*d + 3*i - f, 2*i = 2*d - 5*d + 65. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 + 4*s - 2. Let q(j) = -5*j**3 + j**2 + 4*j - 3. Let a(f) = 4*m(f) - 5*q(f). What is a(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(50) + (sqrt(200)\/(-5*sqrt(4)))**2.\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b**2\/4 - 18*b + 123\/4 = 0 for b.\nAnswer: -41\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 69. Calculate the highest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44496 by 1648.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118737 is divided by 1310.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 6*h - h**2 - 8*h**2 + 766*h**3 - 777*h**3 in the form f*h**2 + v*h**3 + a*h + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 + 6807*d**4 - 1123*d**3 - 3*d - 1365605?\nAnswer: 60*d**3 + 81684*d**2 - 6738*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1323 - -1?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 - 116 = 6*x. Suppose -5*b + 31 = 3*j, 2*j - 15 - 14 = -5*b. Suppose -14 - x = -b*h. Solve -4*k - h = 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a8 (base 15) in base 13?\nAnswer: 8c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31843877899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 12.41243964207\nAnswer: -15.41243964207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**7\/630 - n**6\/120 + n**4\/18 - 223*n**2\/2 + 206. Let x(w) be the second derivative of u(w). Let x(z) = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34978 - 34978.1. Which is the fifth smallest value? (a) 1\/10 (b) x (c) 29 (d) -6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:17 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/114 and -3\/4.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 1 + 1)*(-f - 2 + 4*f - 2*f).\nAnswer: -2*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132.9143 and -169.\nAnswer: -36.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -34*u**2 + 5366*u + 502. Determine v(158).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/23 (b) 112 (c) -1\/4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrcsrrrrrcrsrzs. What is prob of picking 1 z and 3 s?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1\/4, -13, 0.01, -5 in descending order.\nAnswer: 5, 0.01, 0, -1\/4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21448*n**2 + 42223?\nAnswer: 42896*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 77095, 154828, 233811, 314668, 398023?\n\"Answer: 104*q**3 + q**2 + 77002*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/273*(-456)\/(-304)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = y + 3*r - 5, -42 = -y - 5*r. Let p be (22*(-2)\/4)\/((-2)\/6). What is the greatest common factor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 7 - 9\/2*t**3 + 3*t**2 + 18*t + 0*t**4 + 3\/10*t**5. Factor i(s).\nAnswer: 3*(s - 2)**2*(s + 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by -417\nAnswer: 712\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + h = -2*p - 20, 4*h + 2 = p. Let t be 4\/(-6) - 220\/p. Let l = t + -22. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-0.093\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 92*z**2 - 53*z - 280. Determine m(-31).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:23 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(304))**2 - sqrt(304)).\nAnswer: 12*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32123 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 11877273?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000238965264 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-320)\/(-384))\/(((-45)\/72)\/((-1)\/((-186)\/3))).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/12 + 1 + -1)*48\/84.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 - 2*c - 5. Let v(h) = 5*h**2 - 2*h - 6. Suppose 5*w + 2*r = -r + 33, 0 = w + 5*r - 11. Determine w*f(t) - 5*v(t).\nAnswer: 11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, r: 2, h: 1, g: 3, k: 1}. Give prob of picking 1 r and 1 d.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrhrremmmrrrhmermr. Give prob of picking 1 e and 2 h.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137*z - z**2 - 1 - 117*z + 0)*(-5*z - 5*z + 7*z)*(1 - 1 - 2*z) to the form u*z**4 + y + d*z**2 + w*z**3 + q*z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1432.4797446 and -4?\nAnswer: 1436.4797446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 1. Let u(o) = o**2 + 8*o - 9. Let m(k) = 2*d(k) - u(k). Let p be m(7). Suppose 0*y + 2*y + 18 = 2*x, p = x + y - 15. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -796771, -4 in decreasing order.\nAnswer: 24, -4, -796771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(12\/74) - 4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 + ((-384)\/84 - -18). Sort -45, -5, w in decreasing order.\nAnswer: w, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13208005 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -69*o - 1476. Calculate the remainder when 1887 is divided by p(-22).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -42, -59, -76, -93, -110?\n\"Answer: -17*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -5, 2.3, 2\/5, 0.1, 193, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/18 - 6) + -18*(-24)\/(-144).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 3. Let i(l) = l - 2. Let b(m) = -5*i(m) - 3*y(m). Let u(f) = f**3 + 3*f**2 + f + 4. Let v be -4 - (-4 + 3) - 0. Let r be u(v). Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*3\/(18\/8). Suppose -70*k + 68*k = 0. Let f be -1*(-1 + 2\/(-2)). Put q, f, k in increasing order.\nAnswer: k, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -4. Let z be (-50)\/f + (-18)\/54. Solve -4*t = -4 - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15653669*q**3*w + 8*q**2*w + 17022*q*w - w + 4 wrt q.\nAnswer: 93922014*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + 66\/(-88). Sort g, 5, 22, -5.\nAnswer: -5, g, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 466 - 361 = -3*u, -2*o = -u - 38 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4591 - -7842. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 899344906 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/13 + 1966*m\/13 - 13664\/13 = 0. What is m?\nAnswer: 7, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 2068*q + 149167. Determine b(-70).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -64) + (6 - ((-7 + 31 - 4) + -9))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/1410 - 28\/(-690)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -6, -108, -0.21, -5.\nAnswer: -108, -6, -5, -0.21, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j**2 + 0*j + 7 - j - 3*j + 18*j**2. Let s be y(10). Suppose 4*f = f - 5*x + s, 5*f = -3*x + 85. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:28 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72008 is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Suppose -3*k + k = -16. Let i(l) = 4*l + 12. Let q(f) = k*z(f) + i(f). Differentiate q(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2, -2243.42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 3*b = 15*t + 18420, -5*b = t - 3684. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 15, 9 = 4*s - 4*q + 45. Let p be 6\/4 + 7\/s. Suppose -2*a - k = -44 - p, -3*a + 70 = k. Calculate the remainder when 61 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*w - 134 = 5284 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202118*o**2 - 245860*o.\nAnswer: 404236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*(-1348)\/(-2696).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = -3*r, -r + 15 - 19 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31888 + 31883. Sort 3, -128, 32, c in descending order.\nAnswer: 32, 3, c, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -25*v**4\/6 - v**3 + 16*v**2. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 89031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12645 and 10116?\nAnswer: 50580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) -0.1 (d) -0.186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**3 - 1\/24*k**4 + 0 + 0*k + 1\/60*k**6 - 3*k**2 + 0*k**5. What is the second derivative of i(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4579609 - 0.0523736\nAnswer: -2.5103345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Calculate the common denominator of (r\/6)\/((-8)\/(-279)) and (0\/(-1))\/(-1) + 498\/72.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186 - 88 + 41)*(2*a - 6*a + 2*a).\nAnswer: -278*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36494485.\nAnswer: 5, 7298897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29918099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 39*m = 63. Suppose 5*v + f = -8, v + 4*v - 5*f = -20. Sort v, 0, 5, m.\nAnswer: m, v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 18*h**2 + 19*h + 46. What is the remainder when 538 is divided by x(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from zeoodzzzezz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 476 = 4*m, 5*m = t + 89 - 233. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Give t(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -3232?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*1254\nAnswer: -6270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24534*t**5 + 670*t**3 - 8*t**2 - 24940*t - 4 wrt t.\nAnswer: 1472040*t**2 + 4020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 571288183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 2. What is the second derivative of -2*l - 2*l + 7*l**5 - 11*l**o wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1246.3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1754, -1634, -1330, -752, 190, 1586, 3526, 6100?\nAnswer: 9398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/(-28))\/(2\/8). Suppose -4*a - 7 = -b, 2*b + 0*b = -10. Which is greater: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/13770081?\nAnswer: -46\/13770081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 996973 - 21166185 = -4*l, l + 3*z - 5042282 = 0. Round l to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 496357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + 4*f + 4. Let y be l(4). Let g be 2 + (-164)\/y - -1. Is g greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g - 1325. Does 55 divide q(60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17636290?\nAnswer: 2, 5, 7, 251947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 25 + -5 + -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 64984 = -7*h - 64934, q = 3*h - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h\/(h\/(h\/(h*h*h*h**(-6)\/h*h)))*h*h*h)\/h*h)*h**2\/h*h)\/(((h*h\/(h\/(h**(-4\/7)\/h)))\/h)\/h**(-8)) assuming h is positive.\nAnswer: h**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124a3 + 28?\nAnswer: -1247a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 + -206.202. Let v = m + -0.098. Let c = -8 + v. What is the second biggest value in 0.1, c, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 23, 10, -9, -34?\n\"Answer: -3*b**2 + 2*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -129208 and -129204 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30488.165 rounded to the nearest 100?\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*l + 18 - 18)*(-3*l - 2 + 2)*(-l + 0*l + 2*l) as k + y*l + o*l**3 + f*l**2 and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(2 + 0\/1). Let r = -10 + 15. Solve -14 = -v*t + x, -r*t = x - 24 + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:59 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -334. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6062, -5841, -5610, -5363, -5094, -4797, -4466?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*z - 0*z + 1009, 2*z + d - 404 = 0. Let u = -203 + z. Factor u - 2\/19*y**2 - 4\/19*y.\nAnswer: -2*y*(y + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -5 + 10 - 7 - (-49 - 12)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.3, 2\/3, -19, -4 in ascending order.\nAnswer: -19, -4, 2\/3, 12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291036758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595873, -595869, -595865?\nAnswer: -595861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -9572830389.\nAnswer: -9572830389.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-32))\/((-1)\/2). Suppose -3*b - 11 + 29 = 0. Let m = b - w. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 3*b**2 - 3*b**2 + (4*b**3 + b**4 - b**3 + 9*b**3)*(-3 + 0 - 1) to the form i*b**4 + a*b + o*b**3 + m + q*b**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Find the second derivative of -5*p**a - 2*p**3 - p + 3*p**3 + 3*p**3 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15438, -61863, -139238, -247563, -386838?\nAnswer: -557063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3 - (-312)\/60) - (-145)\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddbbdd. Give prob of picking 1 b and 1 d.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -223, -436, -733, -1138, -1675?\n\"Answer: -4*m**3 - 6*m**2 - 107*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*r**2 + r**3 + 681*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.88 + 0.12. Let g = 141 - r. Let x = g + -132.999917. What is x rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2240887?\nAnswer: -2240885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Suppose -26*a + 27*a + 25 = 3*l, l - a = 5. Solve -2*v = k + l, -x*v = -5*k - 3*v - 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (24 - 25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a**2 - 2*a + 1. Let y be k(1). Let f(r) = r**2 - 9*r + 7. Let o be f(y). Let u(d) = 2 - d + 2 - 3. Let w(g) = 3*g - 6. Determine o*w(z) - 5*u(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 1681 = -1519. Is 57 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2 times -0.5?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.05 + -2.95. Let d = -109 - w. Which is the nearest to 0.9? (a) d (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*n + 4, n - k + 2 = 2*k. Let j be 2\/(-6)*(-6 + 3). Let w = j + 2. Sort -1, n, w in descending order.\nAnswer: w, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -261, -248, -219, -168?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.498 + -0.53. Let h = x - 1.968. Which is the nearest to -2\/7? (a) -5 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*s + 1329*s + 28*s**3 - 669*s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**2 - 1896*s - 3796. Determine x(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508 + 1507 - 81*p - 505 + 10*p - 495.\nAnswer: -71*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.360459002 to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*k + 2679 = 0, -p - 3*k = -6*k - 651. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2 (c) 0.06 (d) -7.8 (e) 0.92\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -46. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121130760 + -20?\nAnswer: -121131000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 0, -1, -86 in increasing order.\nAnswer: -86, -7, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3648 = -10*h + 4*h + 5580. Solve 321*m + 14 = h*m + 3*c, -20 = 5*m - 3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, f: 2, d: 4, k: 3}. What is prob of picking 1 r, 2 f, and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/7)*d)**36\/(d**2\/d**(-3\/5)) assuming d is positive.\nAnswer: d**(629\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500.928km to nanometers.\nAnswer: 500928000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.0145868.\nAnswer: 0.0291736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 820912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5866972 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219.972916 + 0.017084. Round s to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f3 (base 16) to base 3\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q)*(-8 + 9 - 5).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24926 is divided by 211?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5))**(-23\/6)*d**(-3)\/(d\/(d*d*(d**1\/d*d)\/d*d)))\/((d**(-6)*d\/(d**(2\/15)*d))\/(d*d*(d*d**5*d)\/d*d*d*d**(1\/10))) assuming d is positive.\nAnswer: d**(503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*s**5 + 16\/5*s**2 - 4\/5*s**4 + 0 - 32\/5*s + 24\/5*s**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 296?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 39584?\nAnswer: 19792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000077956 to seven dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)*s)\/(s**(4\/9)\/s)*s**7*s**(-2\/3) assuming s is positive.\nAnswer: s**(169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37488\/(-198)*(-14)\/16*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*(1 + -1). Suppose v + r = -1, q = -6*v + 2*v + 3*r + 10. Does 19 divide 54 - ((-2 - 2) + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6\/(-2)*-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**4*u - 497*n**4 + n**3*u - 2*n**3 - 222419*n**2 + n*u wrt n?\nAnswer: -144*n*u - 11928*n + 6*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/568 and 83\/22.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Suppose -2*b + 9 = 4*s + 5, -3*b - 15 = -s. Sort 5, b, w in descending order.\nAnswer: 5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*k + 12, k = 5 - 0. Let b = -30 + y. Solve -b*i = i - o + 11, -5*i - 4*o = 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488708*q**2 - 243974*q**2 - 261673*q**2.\nAnswer: -16939*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*g - 157, 4*n - 4 + 63 = g. Let j(s) = 25*s - 11. Let w be j(2). Let r be -3 + (w - (-2)\/(-1)). What is the highest common divisor of r and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4536 and 2268.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1688)\/(-12) + 2\/6. Let j = y + -46. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d + 2696. Let l(m) = 2*m - 12. What is -g(s) + 4*l(s)?\nAnswer: -2*s - 2744","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10. Let w be h\/(-9) + (-106)\/(-9). Let f = 17 - w. Solve 0 = -f*y + 5*r + 20, y - 3*y + 5 = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128519748?\nAnswer: 2, 3, 7, 41, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1099.2 + 1099. Let o = -2 + 0.8. Let x = 0.2 + o. Which is the closest to x? (a) -8 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, 9917, -5, -0.3?\nAnswer: 9917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 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: Let t = -25 + 23. Let y be ((-1)\/t)\/((5\/(-6))\/(-5)). What is the derivative of -15 - y*z**2 + 24*z**2 - 7*z**2 wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -94.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 - g + 4. Let y(z) = 297*z**3 + 2331*z**2 - 36*z + 144. Let k(p) = -36*f(p) + y(p). Find the third derivative of k(r) wrt r.\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 44*k + 7. Suppose 11 + 5 = -3*y + 16. Calculate z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*a - 16, 2*a + 18 = -3*a + 2*j. Let d be -3 + (a - 2) + 3. Is -5 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-81) - (-50)\/(-45))\/(-1 - 66\/(-68))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -472*s**5 - 804*s**5 + 268*s**5 - 2*s**5 + 0*s**2 + 0*s**2 + (-s**2 + 3*s**2 - s**2)*(-3*s**3 + s**3 + s**3).\nAnswer: -1011*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:10 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17121*4.\nAnswer: 68484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 177?\nAnswer: -82\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 1. Let c(b) = 15*b**2 + 5*b + 4. Let k(g) = c(g) - p(g). Let a = 7 + -10. Let i be k(a). Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494221 = 1482659\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v - 64. Calculate the remainder when 6\/((-24)\/14)*-18 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11628*z - 459. Let x(a) = 153*a + 6. Give 6*l(t) + 459*x(t).\nAnswer: 459*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(4\/6). Suppose -5*q + 2*o - 3*o + 10 = 0, 5*q = -3*o. Suppose -q*x - 10 = -p. Sort -1, -5, x in descending order.\nAnswer: -1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1791 and 57711.\nAnswer: 34453467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaazvzvvzzvha. Give prob of picking 2 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - j**5 - j**5 + (-4*j**3 + 2*j**3 + 0*j**3)*(0*j + 3*j**2 + 0*j) + 5*j**5 - j**5 - 2*j**5 + j**5 + 0*j**5 + 0*j**5 + j**5 - 4*j**3 + 4*j**3.\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 1927744.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2*(-281 + (-259851)\/(-999)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/3703181 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018866122 a multiple of 2932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*s - 17 + 166, -3*s + 447 = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437009?\nAnswer: 43, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*z - 22, 3*q = -2*q + 3*z + 14. Suppose 0 = -q*n + 3*u + 1141, -n - 140 + 424 = -2*u. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b - 3*b - b - 5. Let v be a(7). Is 4 a factor of (v\/4 - 3)*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 3) + 6 + -9 - (-31 - -10 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 - ((-103 - -30) + 30).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 1.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 84. Suppose -2*x - m + 3*m + 110 = 0, -g*x + m + 108 = 0. Let z = x - 51. Solve -2*r + z = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(63)*-4)\/(1*sqrt(9)*2))**2 + -1 + -5 + -5 + (sqrt(175) - (sqrt(175) - (2 + sqrt(175))) - sqrt(175)) + sqrt(175) + 1.\nAnswer: 5*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38599.93 times -0.3\nAnswer: -11579.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 79*b + 255. Let u be q(-36). Solve -83*k + 82*k = -u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4193881796 - -5.4194. Round f to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*a + 5, -m - 3 = -2*m + a. Put -1, m, 4, -5 in decreasing order.\nAnswer: 4, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -126. What is the greatest common factor of j and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2229*u + 2224*u - 2*w = -1192, 4*u - 947 = 5*w. Solve 33*h + u = 40 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 145 (b) 0 (c) -4 (d) 0.05 (e) 118 (f) -1\/5 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 10, 4 in increasing order.\nAnswer: -11, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112011 + -1021311?\nAnswer: -1133322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -542, -1087, -1616, -2123, -2602, -3047, -3452?\n\"Answer: o**3 + 2*o**2 - 558*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*w - w**3 + 71*w - 4*w**3)*(w + 3*w - 5*w).\nAnswer: 5*w**4 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-1)\/(-9756)). Suppose 2*l + l = n. Suppose 3*g + 714 = -l. What is g rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a - 5. Let w = 143 + -147. Give v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*r**3 - 77*r - r**3 + 711*r.\nAnswer: 3*r**3 + 634*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-3) + 5)\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 4, n: 3, c: 1, l: 1}. Give prob of sequence lc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2925 and 123\/6080.\nAnswer: 3556800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10*(2 - 4))\/((-2)\/3). Find l such that -g - 2*l**3 + 20*l - 2*l**2 + 11 + 3 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*g = -217 + 274, 0 = -4*k + 2*g + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 2\/4715, -7\/4, -0.07, 1\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 310 (b) -3 (c) 100 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + 6.9. Let t = -7.9999867 + z. Round t to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516301207 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1472 - -1505. Calculate the remainder when 2831 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)\/sqrt(5)*-1)\/(3*(sqrt(5) - sqrt(20))) + (sqrt(5) + -2*sqrt(405) + -4 - ((2 + 1 + sqrt(5) - sqrt(5)) + -3))**2.\nAnswer: 409*sqrt(5)\/3 + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2.04. Let j = b + -0.44. Which is greater: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891428 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.05, 5, 6\/13 in ascending order.\nAnswer: -1.05, 6\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(sqrt(28)*1 + sqrt(28)))\/(sqrt(16)*1) - (2*sqrt(84)\/sqrt(3))\/((sqrt(112)\/sqrt(4))\/sqrt(7))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5029541, 10059099, 15088667, 20118245?\nAnswer: 25147833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-20) + (-2)\/8. Let n(z) be the third derivative of 1\/12*z**4 + 0*z**3 + a*z + 3*z**2 + 0. Let v(b) = -6*b**2. Calculate v(n(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-12 + 10)) + -7 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:49 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024597275746 to seven dps.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47218216\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((16\/(-6))\/(-8))\/((-3)\/(-279)). Differentiate -1 - x*l - 34*l + 26*l with respect to l.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 1598.\nAnswer: 7990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1584 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 143 = 13*p. What is the remainder when 94 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2. Suppose 0 = -3*z + 4*x + 166 - 13, z = -5*x + 70. Let h(q) = 55 - z + 7*q. Give h(w(t)).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -42*f + 89. Let u be r(-5). Calculate the greatest common factor of 39 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8153*w - 10336?\nAnswer: -8153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s + 1. Let v(k) = -9*k**2 + 3*k - 6. Calculate 6*o(i) + v(i).\nAnswer: -3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(3 + 3*(sqrt(700) - 2*-2*sqrt(700))))**2.\nAnswer: 32400*sqrt(7) + 5670324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8514 - -2?\nAnswer: 8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert c692 (base 15) to base 13.\nAnswer: 1615a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10079 by -15491.\nAnswer: 10079\/15491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, 13.658 in ascending order.\nAnswer: 2\/11, 4, 13.658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 128 + 151. Let c = r + -75. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*h**3 - 265*h**3 - 264*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 639*h**2 + 5*h**2 - 1 + 123*h**2 - 127*h**2 as r*h + p*h**2 + v and give p.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 1. Let i be d(2). Let h be (-1)\/i - 92\/660. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 188 = -5*d - 116, 0 = d - 5*v + 40. Calculate the remainder when (-4788)\/d + 8\/(-10) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1319, 5296, 11931, 21224, 33175?\n\"Answer: 1329*h**2 - 10*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -20 + 5. Let g(p) be the second derivative of -1\/6*p**4 + 5*p + 0*p**2 + 0 - 1\/3*p**z. Factor g(q).\nAnswer: -2*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 + 6*l**3 - 3*l**3 + (2*l + 8*l - 3*l)*(0*l + 2*l**2 + 0*l) + (-l - l + 2 + l)*(1 + l**2 - 1).\nAnswer: 21*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 42. Suppose -3*u = -4*k - 100, 2*u + 3*u = -3*k + 186. Let r be u\/42*s\/(-2). What is the highest common divisor of 54 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 5\/4, -178, 3, -2?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 808956 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 27 = 5*l, 11 = -5*i + 6*i + 2*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*g - 822*g - 3 = -b, 2*b = -5*g + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 4*o - 2*o)*(2*o - 4*o + 0*o)*(-17 + 226 + 573)*(-2*o**2 + 3 - 3) to the form h*o**4 + n*o + t*o**2 + c + q*o**3 and give h.\nAnswer: 6256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(2400\/(-175)))\/((-35)\/6)*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -409, -1945, -5091, -10327, -18133, -28989?\n\"Answer: -80*t**3 - 325*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -5. Suppose -16 = -3*k + 2*k + 2*m, -3*k + 26 = s*m. Let j(g) = g**2 - 4*g + 3. What is the remainder when j(-4) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3)*1)\/(-2))\/(1064\/22344)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39153 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let c be (-45)\/(-4) + a\/4. Suppose g + 2*t - 71 = 0, -5*t - 8 = 7. Calculate the greatest common factor of g and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/24 - 9*v**5\/20 - 15*v**4\/8 - 23*v**3\/6 - 33*v**2\/8 - 9*v\/4 + 44. Factor i(u).\nAnswer: -(u + 1)**3*(u + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*y = 2*v - 21, 0 = -4*y + 20. Calculate the remainder when -2*(-1)\/v - 5588\/(-33) is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*2074\/11407.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295815 - 13*j**3 - 42*j + 295815 to the form r + f*j**3 + u*j + t*j**2 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 4. Let n be s(11). Let g = -2 + n. Suppose -4*u - g*a + 30 = 0, -5*a + 3 = -3*u + 8. Solve 0 = u*y - 4*r + 39 - 13, -4*r = 2*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5855?\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -2\/5 (b) 1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 18*d + 32*d = 9*d + 1800 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -12. Let f = t - 2. Which is smaller: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (10 - (-3 - -2) - -13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44659.32l in millilitres?\nAnswer: 44659320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*d + 203*d + 196*d + 2399*d**3.\nAnswer: 2399*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*u**2 - 1 + 107*u**2 - 7*u**2 - 2 - 72*u.\nAnswer: 14*u**2 - 72*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 401520 divided by 336\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let k = -1 + z. Let w be (7 - (3 + -3)) + k. Let i(h) = h**3 - 4*h**2 - 7*h + 1. Calculate i(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.117 (b) -4 (c) -0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8 - (-5)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13 - 41*m + 12 - 18. Let h = -647 - -644. Does 13 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -98\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2661 - -2663. Let i(x) = 6*x**2 + x - 1. Determine i(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*(-28)\/7*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, j: 4, v: 2}. Give prob of picking 2 o and 1 j.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/((-7 - -3) + 5). Suppose -x + d + 1329 + 8 = a, 0 = 4*d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-80)*(-20)\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.288 + 0.088. Let r = -15\/7 + -5\/14. What is the nearest to d in -1, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382490 divided by 76498\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 188874 (base 9) in base 5?\nAnswer: 12234314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Calculate the remainder when (((-142)\/(-6))\/1)\/(23\/69) is divided by w(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 4*v)*(-5 - 2 + 1) + (2 - 5 + 1)*(1 + v - 1) + 3*v + 0*v + 0*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-2)**2*2 + -4.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m*r**2*w + 5*m*r**2 - 71*m*w + 17*m - 33358*r**2*w + 2624*r - 81 with respect to w.\nAnswer: -11*m*r**2 - 71*m - 33358*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7483*r + 7492*r - 72 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 18 = -2*a. Suppose 0 = 3*t + 2*b - 3*b + 4, -t - 4*b = 23. Let p = -1 - t. Solve 2*v - a = 5*m, -7 = -p*m - 4*v + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 139*t**2 - 1\/12*t**4 + 0 + 0*t + 1\/3*t**5 - 17\/2*t**3. Find the first derivative of b(c) wrt c.\nAnswer: 40*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21303301211 + -2?\nAnswer: 21303301203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let q be m(-5). Let s(f) = q - 3*f**3 + 3*f**2 - 6*f**2 + 4*f**3 - 1. Let d be s(3). Solve 4*o + d = -4*x, 0 = 4*x - 4*o - 10 + 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6*u + 260*o**4*u**2 + 23*o**2*u**2 - 3*o*u**2 wrt o.\nAnswer: -120*o**3*u + 6240*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -58.96. Let x = l - 0.04. Which is the smallest value? (a) -4 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -5 (c) -444 (d) -0.05 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 33 = 5*d. What is the least common multiple of d and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20067 - -16947. What are the prime factors of l?\nAnswer: 2, 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a + 10. Let o be u(0). Let s = 292 + -202. Calculate the greatest common factor of o and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4434 and -0.03.\nAnswer: -0.4734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 24. Let k be c(22). Solve 2*a + k = -4*p, -5*p = -0*p + 4*a + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2 + 2. Let o = 2 + 4. Let l = o - 3. Solve a = -m - l*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, e: 1, r: 1, d: 1}. Give prob of sequence ers.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.2 - 11.9. Let o = n - -2.1. What is o rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665755103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 10. Let h = -33 + 48. Suppose -k*z = -z - h. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 - 9*z**2 - z - 28. Let c(p) = -4*p**3 + 9*p**2 + p + 27. Let j(l) = 6*c(l) + 5*w(l). Let v be j(-9). Solve v = 4*t - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/60 - u**4\/24 + u**3\/6 - 5*u**2. Let i be v(1). Which is greater: -2\/15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*r + 24 = 0, 3*p - 5*r - 26 = 11. Let n = -37 + 22. Which is the third biggest value? (a) -1\/2 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/21780*275)\/((-2)\/12).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 939654138 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 294336.4 meters in centimeters?\nAnswer: 29433640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.21740796 + -3\nAnswer: -2.78259204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 - -394. What is the least common multiple of -1 - (-5)\/((-15)\/(-66)) and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2 = c, -16*y + 17*y - 27 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 1, f: 2, d: 1, g: 4}. What is prob of picking 1 j, 1 g, and 2 f?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/7 - 4*z**3\/7 - 416*z**2\/7 - 1724*z\/7 + 306 = 0.\nAnswer: -9, -7, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/8)\/d**(-18))\/(((d\/((d*d\/(d\/((d*(d\/(d\/(d**(1\/6)\/d)))\/d*d)\/d))*d)\/d)*d)\/(d\/d**(-3\/4)))\/d**6) assuming d is positive.\nAnswer: d**(553\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37797 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18868 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 + 4*a**2)*(12845 - 91*a - 50*a - a**2 - 12808).\nAnswer: -2*a**4 - 282*a**3 + 74*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1412771059.2 - -1412770735.19999863. Let c = l - -324. Round c to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 4:28 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 314*q**2\/9 - 956*q\/9 + 640\/9.\nAnswer: 2*(q - 2)*(q - 1)*(q + 160)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1456*g**2 - 35*g - 3. Let k(a) = 485*a**2 + 10*a + 1. Calculate 7*k(w) + 2*v(w).\nAnswer: 483*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, y: 2, l: 1, o: 1}. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17713 to three decimal places.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:09 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(7) - sqrt(7)) + 4 - sqrt(7) - sqrt(1008)*-1)**2 + -3).\nAnswer: -1738 - 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -43. What is the biggest value in -5, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, -3, 244, 0.5?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 14, -3 in descending order.\nAnswer: 14, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -113958*z + 113958*z - 216*z**3 + (-1 + 0 + 2)*(5*z**3 + 3*z**3 - 4*z**3) as k*z**3 + b*z + l + g*z**2 and give k.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-16) - -4 - ((-102)\/12 - (11 - 17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -14. Suppose a - 7 + 3 = 0. Let x = h + a. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = 5*l, 0 = -5*f - 4*l + 5*l + 11. Suppose 0 = -4*v + f*v + u + 56, 141 = 5*v - 3*u. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.38 - 149769.119869.\nAnswer: -149769.499869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let t(p) = 2*p. Let y(s) = -s. Let k(d) = -5*t(d) - 8*y(d). What is m(k(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -3*3*(sqrt(76)\/sqrt(4) + sqrt(19)))**2.\nAnswer: -216*sqrt(19) + 18480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58\/9, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1889879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 207*d + 33. Let v(l) = 13*l + 2. Let i = -100 - -67. Let p(a) = i*v(a) + 2*y(a). Let q(t) = 2*t**2. What is p(q(s))?\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*m + 50, -348 = 21*m + 6*p - 288 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -556438575 - -556438662.29620965. Let o = -0.29619405 + f. Let m = o + -87. What is m rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506\/(-220) - 12\/(-15)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56.48 = 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 929116.\nAnswer: 51\/232279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145465 and 9000260?\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5940 and 163\/9504.\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/129, 0.5, -3?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*q + 19101 - 16860 = 46045 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 13 = -75*r + 71*r, 4*b - 3*r + 29 = 0. Sort 5, 377, b.\nAnswer: b, 5, 377","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*y + 20, 4*j + 2*y = 5*y + 16. Let s = -95 - -96. Let q = -0.07 + -0.93. What is the nearest to q in -4\/5, s, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06608 + 0.00578. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16322\/103 greater than 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 - 404796309753?\nAnswer: -404796309749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4533*f**3 - 9*f - 114. Let t(p) = -1511*p**3 - 3*p - 41. Let c(b) = -4*j(b) + 11*t(b). What is the second derivative of c(o) wrt o?\nAnswer: 9066*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22925821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-15) - 19\/19. Let t = -144 + 246. What is the fourth smallest value in 1, -4, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605368590 to the power of 1\/2, to the nearest integer?\nAnswer: 40067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + (-95 - (-93 - -14)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 24 = -o, o + 10 = -4*w - 2. Solve -o*h - 1 = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) + 1)**2 + sqrt(95)\/(sqrt(20)\/sqrt(4)) + -1.\nAnswer: -155 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -40.9?\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8318209 nanograms in milligrams?\nAnswer: 0.0000008318209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19757.711 + -19772. What is v rounded to 1 dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4153 or -4165?\nAnswer: -4153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17263, -17255, -17241, -17221, -17195?\nAnswer: -17163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 4*j**3 - 4 + 0 - 3*j**2 - 1 + 0*j**3. Let v be c(-4). Suppose 3*l + 15 = 0, 3*l = 2*y - v + 70. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.656 take away 62?\nAnswer: -67.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.892223 micrograms in grams?\nAnswer: 0.000007892223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkd when four letters picked without replacement from kdkhkkhhhkkhvkkkk?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4 + (-4 + 2 + 1)*(1 - 1 + 2))*((2 - 2 - 3)*(-z - z + 0*z) - 3*z + 0 + 0)*(-2*z**2 + 2*z**2 + 2*z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 2 + 9 - 15 + (-i - 3*i + 5*i)*(0 + 1 + 1) - i - i + 4*i to z*i + r and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/45 + 29\/9. Suppose -5*g - 2*m - 26 = -i, 2*g = 2*m - 12. Let h(b) = b**3 + 5*b**2 - 4*b - 15. Let s be h(g). Which is smaller: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))\/f*f**(-4\/11)*f**(-3)\/f*f*f\/f**(-2\/13)*f assuming f is positive.\nAnswer: f**(-745\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/4)*o))\/((o*o\/(o*o\/(o\/o**(1\/3))))\/o)*o**7*o*o**(-2\/5))**(-1\/47) assuming o is positive.\nAnswer: o**(-491\/2820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -5*r + 71. Let w = -23 - r. Let x be 38\/w + (-8)\/(-14). Calculate the greatest common factor of 18 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.29 (b) 9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -15*c**2 + 30*c - 3. Let n be v(-5). Let l = 1028 + n. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.19544 milligrams to grams.\nAnswer: 0.04119544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, -4, 2, 92, -13 in increasing order.\nAnswer: -13, -4, -1, 2, 19, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {h: 2, i: 2, f: 1, y: 3, e: 1, b: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 12. Let b be y(-11). Let k be ((-12)\/(-5))\/(b\/70). What are the prime factors of k*(-3 + 18\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*j + 39, 38 = 3*j - 2*n + 3. Solve m + j = -4*i - 6, -15 = -4*m - i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011110011 (base 2) to base 5.\nAnswer: 24104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:42 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*((-2 - 1 + 2)*(3 + 2*q - 3) - 134656 - 157*q + 134656).\nAnswer: 318*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (8 - 52) - -28.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*t**2 - 125*t**2 - t**3 + 2*t**4 - 3*t**3 - 1 + 27*t to the form c*t + n*t**4 + p + h*t**3 + v*t**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -49. Suppose j*r = 6*r - 60. What is the remainder when r is divided by 3\/((6\/(-8))\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -439 (b) 2\/13 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360362 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 5*o + 3*m, 10*m = -3*o + 11*m + 214. What is the lowest common multiple of 18 and o?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*l + 227 + 52*l - 227 + 49*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833488775 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) + 2 + sqrt(11))**2 - sqrt(77)\/(sqrt(49)\/sqrt(7)).\nAnswer: 7*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 586572*r**2 - 4 + 586586*r**2 + 4*r.\nAnswer: 14*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 279875*c + 7*c**2 - 280634*c)*(3*c**2 + c**2 - 3*c**2 + 1) as u*c**4 + g*c + m + q*c**2 + y*c**3 and give g.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-4\/5)))\/b)\/(b*b*(b\/(b*b**(-2)*b))\/b))\/(b**(-2\/7)\/b*b*b*b\/b**(-1\/4)) assuming b is positive.\nAnswer: b**(-583\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 - -0.5. Let r = a - -1. What is the nearest to r in 5, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314*u**3 - 3*u**2 - u - 22543.\nAnswer: 942*u**2 - 6*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -254895633 divided by -17301\nAnswer: 14733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1962?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/22276 and 65\/8?\nAnswer: 44552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.76 + -17.66. What is the fourth biggest value in 1\/157, d, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-4) - (-1)\/(-2). Let v(o) = 6*o**2 - 4*o - 4*o + 14*o**3 + 0*o - 3*o. Let c(j) = 5*j**3 + 2*j**2 - 4*j. Determine s*v(k) + 11*c(k).\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/8 + 9*f**3\/4 - 1659*f**2\/8 - 1739*f = 0. What is f?\nAnswer: -47, -8, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-50)\/15*(-3)\/3. Let t be (-70)\/l*(0 + 1). Suppose -t*f = -0*f - 658. Calculate the remainder when f is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 97*s**2 + 3. Let j(i) = -390*i**2 - 13. Determine -3*j(x) - 13*o(x).\nAnswer: -91*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 11. Let b(n) = -9*n + 33. Let r(s) = -2*b(s) + 7*k(s). Let g(c) = -c + 1. Determine 5*g(z) - r(z).\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s - 3. Let i(v) be the second derivative of v**4\/2 + 198*v. Calculate i(c(o)).\nAnswer: 600*o**2 + 360*o + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-9 + 7 + (-2 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7\/3, -3\/172, -5, -13, -0.5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313674, -313673, -313672, -313671, -313670, -313669?\nAnswer: -313668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 3, l: 4, n: 3}. What is prob of sequence ioon?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52094, -104182, -156270?\nAnswer: -208358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/200476 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -333099322749+0.5\nAnswer: -333099322748.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/252 + o**6\/60 - o**5\/60 - o**4\/36 + o**3\/12 - o**2\/12 + 213*o. Factor k(m).\nAnswer: -(m - 1)**4*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - w + 2. Suppose -16*d = -20*d - 2*o + 680, 0 = -2*o - 8. What is the remainder when d is divided by x(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1381*s**3 + 11*s**2 + 2*s - 11. Let u(a) = 460*a**3 + 4*a**2 + a - 4. Let l(t) = 8*u(t) - 3*y(t). Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 771*n**5 + 8*n + 16.\nAnswer: 15420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 5, r: 4, w: 2, h: 4}. Give prob of picking 1 w and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 39539015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 243*x**3\/2 + 357*x**2 + 13*x - 13. What is the derivative of v(h) wrt h?\nAnswer: 729","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2146, 20937, 39728, 58519, 77310?\n\"Answer: 18791*g - 16645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (108833\/(-129))\/(2*2\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:56 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(13) + sqrt(13)) + sqrt(65)\/sqrt(245).\nAnswer: -55*sqrt(13)\/7 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2898*p + 21479 - 10361 = 3112*p - 14776 for p.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4258180, -5, -0.5.\nAnswer: -4258180, -5, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 123. Let d = q - -637\/5. Let p = 0.12 + -2.12. Which is the smallest value? (a) p (b) d (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 9. Let o(a) = 4*a + 9. Give -5*m(y) - 4*o(y).\nAnswer: 4*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 189?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20384, 40887, 61486, 82181?\n\"Answer: 48*v**2 + 20359*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i. Let r(m) = 12418*m. Calculate f(r(d)).\nAnswer: -124180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*o - 88*o. Which is the nearest to 5? (a) o (b) -1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 1 - 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -122?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2108609240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 + 94\/14. Let c(b) = -f*b**2 + b + 6*b**2 + 2*b**2. Calculate the lowest common multiple of 8 and c(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6897*k**2 + 2683*k**2 + 2651*k**2 + 2757*k**2.\nAnswer: 1194*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -19770527.5280575.\nAnswer: -19770527.8280575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 2976*h**2 - 137396*h + 817320.\nAnswer: -4*(h - 695)*(h - 42)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*a + 2*v, -4*v - 29235 = -29227 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 28 = 5*u - 3*j, -5*j + 40 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 11. Determine z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13836 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 3547299 and 3547300 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -704*p - 4. List the prime factors of k(-1).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t**2 + 1. Let a be w(-1). Suppose 4 = 5*v - a. Let r = 7 - v. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 4, z: 8, x: 1, u: 2}. What is prob of sequence eue?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(13\/((-13)\/(-3))). Let c = 964\/19 + -51. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - k + 11, -k - 3 = -4*k. Factor 2\/3*i**d + 2\/3*i + 0.\nAnswer: 2*i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-16)\/(-10) + (-89488)\/(-470) and 224.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 50. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 26*c**2 + 6*c + 29. What is h(26)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/18*7\/((-105)\/18)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 39. Find the common denominator of (-1)\/(-3) + -3 + 604\/(-120) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/(-28) - (-6)\/14. Let o be (4\/(-10))\/((-1)\/(-5)). Put o, r, -1 in descending order.\nAnswer: -1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = 5*d - 2*d, -k + 5*d - 21 = 0. Let n(o) = 9*o**3 - 1. Let y be n(k). Let t = 13 + y. Solve -2*v - t = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -t - y, 3*t - 9 = 3*y. Suppose -13*q = -16*q + 114. Let f(u) = -5*u**3 - 36*u**2 + q*u**2 + 4*u**3 - 2 + 3*u. Calculate f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -448, -836, -1486, -2404, -3596, -5068, -6826, -8876?\n\"Answer: -s**3 - 125*s**2 - 6*s - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 7933. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 67 = 2*x - 2*m, 4*x + 5*m = -205. Suppose -3*z - 124 = 2*n, -2*z = -0*z + n + 82. Let h = z - x. Does h = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7177.489cm to millimeters.\nAnswer: 71774.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -bd8 (base 14) in base 12?\nAnswer: -1436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0 + 2\/7*u**2 + 2\/7*u**3 - 2\/7*u**5 + 0*u - 2\/7*u**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**(2\/9)\/q)\/q)))**(-36)*(q\/((q*q*q\/(q\/(q**(3\/7)\/q)))\/q*q))\/q*q*q**(1\/2)\/q assuming q is positive.\nAnswer: q**(883\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1740\/(-240) - (-8 + 1). Let y = 1283 - 1282. What is the biggest value in -19, k, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -347019.8 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*c + 5 - 15 - 143*c - 407*c**2 + 53*c + 47*c to the form j*c**2 + h + s*c and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 556310.7 millennia?\nAnswer: 55631070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 0*g + 2*g + (570*g + 65612 - 65612)*(-5 + 1 + 1) in the form x*g + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 272 + -372?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 3. Let f(d) = -2*d - 4. Let w(p) = -3*f(p) - 4*q(p). Let y(g) be the third derivative of 7*g**5\/60 - 31*g**2 + 4. Give w(y(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(21\/6 - 4). Suppose 3*u - o - 17 + 2 = a, 27 = 5*u - o. Calculate the common denominator of -83\/12 and 119\/(-70) + u\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**4 + 6373*o**3 - 57*o**2 + 74 wrt o.\nAnswer: -120*o + 38238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.425317nm in meters?\nAnswer: 0.000000006425317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*w - 44*w**3 + 21*w**3 + 24*w**3 + 75*w**2 + 82*w.\nAnswer: w**3 + 75*w**2 + 241*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or 5669\/39?\nAnswer: 5669\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -752d (base 14) in base 10?\nAnswer: -20229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/10 and (820\/(-360))\/((-5)\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.092 + 0.027. Let g = 2.065 + p. Let r = 40 + -198\/5. What is the nearest to r in 3, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 10636*u - 120 - 109 + 345 in the form r + v*u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -3.9. Let o = 1.565 - l. Let m = o - -22.035. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c088bb - 1b?\nAnswer: -2c08909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 8.8, 0.06038, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k**2. Let m(x) = -2*x - 1. Calculate q(m(v)).\nAnswer: -36*v**2 - 36*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77603?\nAnswer: 71, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 328*z**2 + 143*z + 1335. Give q(-109).\nAnswer: -2371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 - 8*w**3\/3 - 8*w**2 - 16*w + 9. Let h be t(-6). Let b(l) = l**2 + 3*l - 8. Does 20 divide b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23*-14*(-6)\/1932)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2403799\nAnswer: 2\/2403799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 418 + -242. Let p = 184 - w. What is the lowest common multiple of p and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 2*l**2 + 2*l + 1. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8162977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112643464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 268, 421, 588, 769, 964?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 2*v - 6 = 5*v + u. What is the hundreds digit of (-124)\/(-6)*v*105\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 20124706635?\nAnswer: 20124706635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 plus 1220.98749?\nAnswer: 1379.98749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*w**3 + 2*w**2 + 78 wrt w.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/32 + (-923)\/4. Let g = f + 62. Let w = g - -262. What is the highest common divisor of 230 and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 547*g - 9306. Determine n(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*d + 2 - 261*d - 70*d - 2.\nAnswer: -255*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Solve -w*h - 5 = -3*g, 3*h - 3*g + 3 = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2 - 7*o - 10. Let t be w(-3). Calculate the common denominator of -5\/7 and 39\/(-26)*t\/(-5) - -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -8*j**3\/3 - 45. Let v(k) = 15*k. Give v(w(f)).\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/9 + 4*l**4\/3 - 592*l**3\/3 - 29216*l**2\/9 - 10592*l - 9792 = 0 for l.\nAnswer: -18, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -83562*u - 919178. What is l(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, d: 4, t: 2, e: 5}. Give prob of sequence dft.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 + -114?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/92082453 and -43\/18.\nAnswer: 552494718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341571 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 + 2*o**3\/3 + o**2 + 2*o + 29. Let t(x) = -2*x**3 - 4*x**2 - 5*x - 5. Calculate -5*h(p) - 2*t(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2 - 10*v + 6. Let g be b(5). Let x(r) = r + g*r + 0*r - 7*r**2. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*y = -f - 1071, 5*y = -3*f + 777. Suppose 11*q = 3*q + f. What is the greatest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -722.7 - -382.3. Round u to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769768 is divided by 5454.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 12*l + 13. Determine g(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j**(-18))\/(j*j**(2\/3)*j*j*(j**(-11\/5)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(368\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 284.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35634556 or -35634575?\nAnswer: -35634556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.8 - 7.69. Let r = j + -0.41. Sort -2\/11, -0.1, 1\/3, r in ascending order.\nAnswer: r, -2\/11, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.723 micrometers to kilometers.\nAnswer: 0.000000974723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 194, 197, 200, 203, 206?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111033 + -3001?\nAnswer: 104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589240 divided by -40.\nAnswer: 14731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 35583224*d + 106749654 = 0.\nAnswer: -17791609, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 2*a**2 - 2*a**2)*(-3 + 3 - 2*a**2) + 5 + 19835*a**2 - 19835*a**2 - 34*a**4.\nAnswer: -36*a**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/8, 20, 1\/6, 2\/13 in decreasing order.\nAnswer: 20, 9\/8, 1\/6, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 + 27*d**3*g**2 + 264*d**3 + 3*d**2*g + 32551*d*g**2 wrt d.\nAnswer: 60*d**2 + 162*g**2 + 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((j - j - 3*j)*(4 + 13 + 3) - 1 - j + 1)*(-1 + 1 - j) to the form c*j**2 + m + t*j and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - 30\/(-9). Suppose -7 = -a*c - 1. Let u = 3 - 3. Solve u = c*z + 4 - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-3 - (-8 + (-585)\/(-55))*-1). Factor 2\/11*f**2 + 14\/11 - a*f.\nAnswer: 2*(f - 7)*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**15*a\/a**(-16\/3) assuming a is positive.\nAnswer: a**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 15713473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7177422635439 and 0.15?\nAnswer: 7177422635439.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1771, -7105, -16041, -28615, -44863, -64821?\n\"Answer: -6*f**3 - 1765*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -240 (c) 8 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 98 - 17*n - 110 - 102 + 418.\nAnswer: -17*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318\/(-2968) + (-3)\/(-14)*4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*t**4 + 5*t**3 - 49*t**2 - t - 1016372 with respect to t.\nAnswer: -136*t**3 + 15*t**2 - 98*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 10*h**3\/3 + h + 12. Let g(s) = s**2. Calculate 22*g(u) - 2*j(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, 429, 1881, 3909, 6513, 9693, 13449?\nAnswer: 17781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -503572*p - 7049993. Give h(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2 + 3*o + 3. Let j = 602 - 378. Suppose -64 = -36*h + j. What is the remainder when g(-3) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69 and 102.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000789 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -264*m + 72. Let k be (-25)\/30 - (-62)\/(-12). What is the units digit of c(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.376835 centuries?\nAnswer: 0.0376835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1900 greater than -1901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*h + 4 + 2 = 0, 5*j = 4*h - 44. Let n(q) = -56*q - 111. Calculate the remainder when n(j) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 11*b**2 - 19*b + 167. What is w(-7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcjqcqjjqqccqjj. What is prob of picking 1 q and 3 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 956 and 15057.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/4, 1, 3, 1\/3, -2\/365943?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(320))\/(6*sqrt(90)\/sqrt(10)).\nAnswer: sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72468, -144888, -217310, -289734, -362160, -434588?\nAnswer: -507018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-19)*l\/(l*l**14))\/(l**28*l**(-22)))**(-7\/10) assuming l is positive.\nAnswer: l**(259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2*(-30)\/(-96).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/3 - 295079*r\/3 + 98360 = 0.\nAnswer: -295080, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - -2.92. Let n = 3.1 - a. Put n, 3, -5 in ascending order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let x = -31.85 + -0.15. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64388 or -3155007\/49?\nAnswer: -64388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25112 and 688.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2874*s**2 - 3*s - 2. Let j be (-108)\/8*2\/(-3). Suppose 0 = -t + j - 11. Let q be k(t). Round q to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3 + 1. Let m(g) be the first derivative of -g**4 + g**2 + 2*g + 2\/5*g**5 + h*g**6 - 4\/3*g**3 - 3. Factor m(a).\nAnswer: 2*(a - 1)**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-85 + 56 + 41).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**3\/3 - 4*k + 2. Let t(p) = p**2 + 5. Let b = -16 + 11. What is b*r(c) - 4*t(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 260 = -19 - 153. Is 51 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (-3 + -4*(sqrt(684) + -2 + sqrt(684)))**2)*-5.\nAnswer: -219008 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13542162 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4320897*k**4 + 6617933*k**2.\nAnswer: -103701528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/4 of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p. Let r(z) = -z**3 + 2*z**2 + 3*z + 1. Let x(o) = -r(o) - 3*v(o). Calculate x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18560 and 2288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a factor of 131859054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -548735332877\/37708 + 160074506\/11. Let i = 1\/3428 + n. Calculate the common denominator of i and (50\/32)\/(2\/12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 9*w + 7. Let l be u(-3). Suppose -7 = -l*i + 14. Suppose -2*n = -2 - 2. Solve n*o = 2, 4*g + i*o - 2 = 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 + 2*n + 4. Let a(p) = -11*p**2 - 5*p - 9. Let s = -10 + 29. Suppose s = 4*y - 1. Let k = 9 - y. Give k*a(g) + 9*f(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)*(n\/n**(-5)*n)\/n*(((n*n\/(n**0*n)*n*n)\/n)\/n)\/n**2*((n\/(n\/n**(-1)*n))\/((n*n\/((((n\/n**(3\/7)*n)\/n)\/n)\/n)*n)\/n))**30 assuming n is positive.\nAnswer: n**(-1107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207709.\nAnswer: 107, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/5, 19\/6, -1\/3, 9110 in ascending order.\nAnswer: -0.4, -1\/3, 2\/5, 19\/6, 9110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 22*d**2 + 5*d + 343. Determine w(23).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863573382.\nAnswer: 2, 3, 7, 1867, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. What is the closest to a in -2\/11, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -982139*y**2. Let v(b) = 4*b. Calculate v(p(j)).\nAnswer: -3928556*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 37 + 87)*(2*p**4 + 2*p**4 - 6*p**4 + (0 - p + 0)*(4*p**3 + p**2 - p**2) + 0*p**3 + 0*p**3 - p**4).\nAnswer: -105*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -8711527.\nAnswer: 29\/8711527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 79038520 to the nearest one hundred thousand.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20726\/2611 - 7\/746. Calculate the common denominator of (2\/390)\/(72\/(-60)) and v.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15165 - 71028. Let d = z - -3619937\/42. What is the common denominator of -49\/10 and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)*(-10)\/(-4). Suppose 0 = 4*q - 4*y + 3 - 7, 3*q - 5*y + 1 = 0. Suppose p - 69 = -x*o, -q*p + 2 = -4*o + 61. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1422)\/729*1 + (23 - 21)\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (253\/(-2530))\/((18\/(-70))\/(-3))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 8*d**2 + 3*d - 4. Let h(n) = -n**3 + 9*n**2 + 10*n + 11. Calculate the remainder when j(8) is divided by h(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-13))\/k**(-1\/11))**(4\/3) assuming k is positive.\nAnswer: k**(-524\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -113126.\nAnswer: 56563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1642272)\/231840 + (-5)\/(5\/(-6)). Let i = 4\/345 - l. What is the common denominator of i and 113\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 4*c + 78 = -7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:51 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Suppose 3*c - 14 + 5 = 0. What is the nearest to 0.1 in c, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0*q**2 - q**2 + 13 to s + w*q + d*q**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-34))\/((-10)\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05095966851 - 0.03.\nAnswer: 0.02095966851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let f be (-56)\/(-40)*5 + 4. Suppose 101 = -f*o + 189. Solve k = n + n - o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/9 of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14314788)\/(-36)*4\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37188.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = k - 25 + 7, 57 = 4*k + 5*o. Suppose -5*z + k = n, -4*n - z + 0*z = -13. Let l be (-22)\/(-6 - (-1 - n)). Solve 3*p - l = 2*c - 4, p - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -34 - 16\/(-8). Let f = 39 - v. Suppose -4*d = -f*w - 12, 0*d - 5*w = -3*d + 9. Solve -z = d*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -50. Calculate the remainder when 43 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5042 + -6)\/(14\/7) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9882701 kilograms?\nAnswer: 0.0009882701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbddbdbbbdb. What is prob of sequence bd?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-36) - -1*-1*(-6)\/(-18). Let n = -11\/8 + 23\/40. What is the smallest value in n, 10.2, k, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.023387, -6\/31, 0?\nAnswer: -0.023387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*y + 1103 - 1085, -5*v = -y + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5627.8953 + 5628.55530043. Let w = c + -0.66. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/28 + 2*(-12)\/(-42). What is the second biggest value in 2, 0.1, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*c - 6*c + 105, 48 = -q - 5*c. Let u(y) = -10*y + 228. Is u(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89074, -89530, -90290, -91354, -92722, -94394, -96370?\n\"Answer: -152*y**2 - 88922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 15 = 6*a. Let y(q) be the first derivative of 5 - q**a - 3 + 6. Let f(h) = -2*h. Calculate f(y(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 4*p + 72, 542*p + 2*g = 539*p - 54 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 13*t - 11*t)*(1 - 2 + 3) in the form i*t + p and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**5 - 12147*s**4 + 2*s**2 - 373*s + 9614 wrt s?\nAnswer: 180*s**3 - 145764*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 0, 5\/4, 1\/5, 633?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79703 is divided by 116?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -37. Suppose 2*y = 3*y + m. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01914088 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54567, -109130, -163693, -218256?\n\"Answer: -54563*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 5. Let n(y) = -y - 2. Let x be n(-1). Let g be (1 + -1 + -1)\/x. Put s, g, 5 in increasing order.\nAnswer: s, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387 + 61116*x + 2*x**2 - 61110*x - 4*x**2.\nAnswer: -2*x**2 + 6*x + 387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.4, 3, -83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 110*p + 146. Let q be o(-32). Let g = q + 4953. What are the prime factors of g?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-6)\/(-2))*-3. Let z(j) = j + j + 4 + 118*j**2 - 5. Is z(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640244013?\nAnswer: 3, 213414671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18728675.\nAnswer: 5, 7, 107021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = -c + 5*q + 57, 496 = -2*c - 4*q. Let b = 261 + c. Solve -9*z + 12*z = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/20, 0.1, -838, 3, -71?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 438, 1742, 3936, 7038, 11066, 16038, 21972?\n\"Answer: 3*k**3 + 427*k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142400*z**2 + 142255*z**2 - 284654*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/45*12230\/8561.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from ubuclcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -1\/120*b**5 + 0*b + 0*b**4 + 1\/1440*b**6 + 0 - 23*b**2 + 25\/6*b**3. Let c(v) be the first derivative of g(v). Factor c(r).\nAnswer: r*(r - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066477 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*v = 288*v + u - 329, -2*v - 32*u = -35*u + 87 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -2*r**3\/3 - 9*r**2\/2 + 2*r - 649. Determine b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 163. Calculate the smallest common multiple of (b\/10)\/(5*5\/(-125)) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3520) - 1*sqrt(3520)) + sqrt(3520))*6)\/(sqrt(396) + 2*sqrt(396)*-3).\nAnswer: -8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4277174 (base 8) to base 9.\nAnswer: 2136620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 809325.6l?\nAnswer: 809325600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/31)*a*a**(2\/11))**(-10) assuming a is positive.\nAnswer: a**(-7660\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326604616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/11)\/d)\/d*d**26 assuming d is positive.\nAnswer: d**(287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**5 + 13*j**3 + 32*j**2 + 2 wrt j?\nAnswer: -240*j**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.094 + -0.094. Which is the smallest value? (a) -2 (b) -3 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -0. Let f(q) = q - 2. Let u(n) = 4*n - 17. Let k(z) = 4*z - 16. Let g(h) = 7*k(h) - 6*u(h). What is c*g(s) + 14*f(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 25 - (-1 + 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 1935 - 642 - 657 - 636.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 650.1 - 3470.1. Let k = 1969 + z. Let q = 850.99509 + k. What is q rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-12))\/(6\/144). Which is smaller: 34 or g?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 7*x + 5. Let j be m(4). Let u = -5 + j. Suppose -u*t - 5*r = -138, -3*t + 0*t - 3*r = -105. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*q + 18 = -0*x, -15 = -4*x - 3*q. Suppose -x = -2*f + 2. Is 4 a factor of (-1)\/(6\/f)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7007570*f**3 + f**2 + 3*f - 486827?\nAnswer: 42045420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8541 (base 13) to base 6.\nAnswer: 221310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 8*r. Suppose b - 273 = -r*b. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1\/((-21)\/12) + 32\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 11*d - 1 + 22 - 23 = d + 4*f, -3*d = 6*f + 39 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394041?\nAnswer: 11, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 20850804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16820*b**3 + 5336*b**2 - 615*b - 225.\nAnswer: (5*b - 1)*(58*b + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((-18 - -2) + 9 + 13 + -10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*n**3 + 29*n**2 - 81*n**3 + 188*n**3 + 2*n + 4331 - 17*n**2 wrt n.\nAnswer: 555*n**2 + 24*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 53 + 142936*d - 142935*d.\nAnswer: d - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000358641523 to seven dps.\nAnswer: 0.0003586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - 4*l**4 + (l - l + l)*(4*l**2 + 2*l**3 - 4*l**2) - l**4 + 4*l**3 - 4*l**3 - 16*l**4 + 9*l**4 - 32*l**2 + 8*l**4.\nAnswer: l**4 - 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/9 (b) 1 (c) -3\/11 (d) 57 (e) -4 (f) 4\/15 (g) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 = 2*g - 4*g, -4*g + 3*u + 15 = 0. Let q(p) = 28*p + 1. Let h be q(1). Suppose c + g = h. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 - 28022065*a = 0.\nAnswer: -5604413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397922, -795846, -1193770, -1591694, -1989618, -2387542?\nAnswer: -2785466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -609 less than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/1 - 1) + -7. Let m(d) be the second derivative of -13\/6*d**3 + 5*d + q*d**2 + 0. Let v(i) = -2*i**2. What is m(v(g))?\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 10187554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 2. Let p be z(1). Calculate the smallest common multiple of 6 and (6\/p - 1)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18\/19 + -458\/323. Let r = b + 81\/136. Factor 3\/8*s**3 - 3\/8*s + r*s**4 + 1\/8*s**2 - 1\/4.\nAnswer: (s - 1)*(s + 1)**2*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*h = 0, -2*l + 45 = -7*l + 4*h. Let v = -9 - l. Is (-6)\/(-5)*(-90)\/v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996362981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/150 + b**4\/6 + 5*b**3\/3 + 6*b**2. Factor j(y).\nAnswer: 2*(y + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 14. Let w(c) = -2*c**3 - c**2 - c + 24. Let p be w(q). Suppose 95*a - 99*a - p = 0. Are a and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 30. Let a = f - -9. What is the second biggest value in -0.11, 0.1, a?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -669.24, -40 in decreasing order.\nAnswer: -2, -40, -669.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196 - 122. Suppose 4*b - 106 = -2*o, -o - 1 = -2*b - i. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15859400 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*r + 2*r**4 - 6*r + 3*r)*(-3 + 0 + 0).\nAnswer: -6*r**4 - 6*r - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 742\/723169 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/27 in -5, -2, 1, 129, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 18*v + 17. Let t be f(19). Let a be -3 - (t\/(-3))\/((-10)\/75). Suppose -3*n + a*n = -161. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 4*m. Let b be d(-3). Let o = -17 + b. Let n = o - 2. Put -4, -5, n in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 2, n: 4}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6 - 4) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/3 (b) 0.3 (c) -1\/6 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98722944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -57. Let f = u + 14. Let k(y) = 7*y**3 - 7*y - 11. Let x(q) = 2*q**3 - 2*q - 3. Let n = 81 - 75. Calculate f*x(g) + n*k(g).\nAnswer: -2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 - -236. What is the remainder when 183 is divided by s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(2\/93))\/v)\/v)\/v**43*(v*v**(4\/15))**(-24))**(-4) assuming v is positive.\nAnswer: v**(138424\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1806 and 1032.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-15) + (-4)\/10. Suppose h*s = 8*s - 2210. Suppose -2*w = 3*w - s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116587947, -116587951, -116587959, -116587971?\nAnswer: -116587987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxccxxxccxxxccx. Give prob of picking 1 x and 1 c.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7691 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: Which is the third biggest value? (a) -2 (b) 1481 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-72)*4*-18. Solve 4*s - s - y = u, 5*u + 8 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = -9. Suppose 48 + 0 = -4*u. Let x = u - -8. Which is the closest to 1\/4? (a) j (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6214626*t**3 + 11441026*t**2.\nAnswer: -37287756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n. Let h(j) = -7*j**2 - 1448*j. Give h(z) - 6*i(z).\nAnswer: -z**2 - 1454*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -f - 20, -2*f - 2*f = 4*j. Let m = 11 - j. What is the second derivative of 4*s**4 - 6*s + s**4 - m*s**4 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h)*(-8 + 5 - 3)*(-1 + 1 - 8) - 2*h - 3*h + h.\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2091 = 5*i - 18*r + 17*r, 3*i = 3*r + 1245. Solve -9*l - i = -464 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 + -274 - (-28 - 20).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 11*g - 10*g + (g + 1 - 1)*(2 - 5 + 1) + g - 4*g + g to u*g + n and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 50. Sort 1, n, 6, -3 in ascending order.\nAnswer: -3, n, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 2*t**4 + t**4 + (-6*t**3 + 3*t**3 + t**3 - 5*t + 8*t**3 + 5*t + (-6*t**2 + 3*t**2 + 4*t**2)*(-2*t + 0*t + 0*t))*(-71*t + 15*t + 4*t).\nAnswer: -205*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 11*w**2 - 24. Let m be c(-11). Is (-468560)\/m - (28\/12 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 + 4*w**4 - 4*w**3 - 4*w**2.\nAnswer: 4*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 2.\nAnswer: -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 141. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81551791\/906 + -90013. Calculate the common denominator of w and 125\/18.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 - 207?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6.874 times -4\nAnswer: 27.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3972*k = -3975*k + 36. Suppose u - 2*i = 40, i - 88 = -2*u + 3*i. Calculate the highest common divisor of u and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 6*s - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x - 6. Let t be z(3). Suppose -6 = -t*a - u + 9, 25 = 5*a - 2*u. Suppose -a = 6*p - 7*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2664*g - 7994. Calculate l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6 - 66*x**3 + 5*x**2 + 65*x**3 - x + 8*x. Let n be j(6). Solve 28 = -3*r - n*o - 5*o, 15 = -5*r - 2*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 249. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2646.5 and -9.\nAnswer: 23818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 2041*y**2\/2 - 96288*y - 4778037\/2.\nAnswer: -(y + 51)**2*(2*y + 1837)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let m(f) = 5*f - 22*f + f + f. What is p(m(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36187 is divided by 5024.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*((-450)\/120*249*(-1)\/(-117) + 8)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 13) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*y + v + 39, v = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.83658us to seconds.\nAnswer: 0.00002183658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*n - 2255 + 40535 = 0 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**6\/300 + 83*s**5\/50 + 171*s**4\/4 + 1295*s**3\/3 + s**2 - 16*s + 15. Let y(c) = 0. Calculate c.\nAnswer: -5, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1*1 + 16. Let m = 4 - 1. Suppose -4*a - v = q, -4*q - 13 = 5*a + m. Which is greater: q or 3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10053 - 40209\/4. Which is the biggest value? (a) p (b) -0.2 (c) -0.1 (d) 0.4 (e) 2\/1093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*z + 2634 = 0, 4*z + 273 = l - 620. What is the smallest common multiple of 388 and l?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 - 4\/6). Let w be 126\/4 - 2\/p. Let c(k) = -2*k**3 - 36*k**2 - 102*k - 20. Let z be c(-3). Calculate the highest common factor of z and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (64\/24)\/((-4)\/(-6)). Suppose -d*n = -39 + 7. What is the remainder when 28 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 31*j**2 + 24*j - 2. Let h(i) = 7*i**3 - 61*i**2 - 43*i + 5. Let t(s) = 6*h(s) + 15*r(s). Factor t(f).\nAnswer: -3*f*(f - 34)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by 166.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 28 = 7*w. What is the remainder when (2 + 22\/(-8))*-36 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -121\/3. Let q be (-14)\/(-15) - 4\/12. What is the nearest to 1 in q, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64641 and 92481.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 875445.21 + -875424.2099998. Let g = -21 + j. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*t = 1489*t + 9959 + 3437 + 19980 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1597 + -1?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -5, 3 in decreasing order.\nAnswer: 3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1906)\/6)\/((-3)\/18). Let n = 3339 - c. Is n\/3 - (-8)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) 8755 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 133?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26820, 53646, 80474, 107310, 134160, 161030, 187926?\nAnswer: 214854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 838.409 - -341543.591. Let r = 342416.0121 - w. Let f = -34 + r. Round f to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 - 164*f**2 + 532*f + 196.\nAnswer: 4*(f - 7)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97993032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/7)*w**(8\/3) assuming w is positive.\nAnswer: w**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 8*z + z**2 + 3*z**3 + 3*z to the form i*z + f*z**3 + o + u*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62935916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -53. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 46386*u + 1485347. Determine t(-32).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 2*b - 2014 + 2009, 4*b + 40 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 43*y + 1286. Is 9 a factor of a(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/135 and -76\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhb when four letters picked without replacement from bhhhhhhhbbbhb?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r = 216 + 540 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {a: 3, z: 7, v: 2, y: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.022220215+2\nAnswer: 2.022220215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -23.2. Let t = -4.4 - -5. Let r = 0.7 - t. What is the biggest value in r, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -77*z + 189. What is i(4)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/(-182) + (-1)\/((-390)\/1640). Factor 1\/9*o**3 + 2744\/9 + 196\/3*o + t*o**2.\nAnswer: (o + 14)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12450 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16383 is divided by 5364.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120 - 0)*4270000\/42. Round t to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {w: 1, h: 2, d: 2, o: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 14*r + 4*j - 1, 40*j - 45*j = -8 - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (-12 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 14. Let a be f(0). Suppose 156 = 3*q + 147. Calculate the remainder when (0 + 1)\/(2\/a) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181725*h**3 + 2*h**2 + 4*h + 1984.\nAnswer: 1090350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - 5) + (-28 - (21 + -64)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -69, -104, -139?\n\"Answer: -35*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x - 1 = -g, 4*x + 7 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (1540\/8)\/5 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12418400 and 101600?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 9*t - 12. Suppose 2 - 2 = 16*m. Solve u = -j + t - 7, m = -5*u + 4*j - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(700)*-3 - sqrt(700)))**2.\nAnswer: -1200*sqrt(7) + 33675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 4, g: 1, r: 1, z: 2}. Give prob of picking 2 d and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - z - 2. Let s(c) be the third derivative of c**5\/60 + c**3\/6 + 18*c**2. Let b(t) = -6*s(t) - 3*x(t). Factor b(r).\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*q = q - 148, 5*a + 182 = 4*q. Let b be (-48)\/36*9\/(-2). What are the prime factors of (a\/b)\/(3\/(-9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5808)*2 + sqrt(5808))**2.\nAnswer: 145200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 244*l - 7304.\nAnswer: 4*(l - 83)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/120 - m**4\/24 - m**2. Let f be 2\/2 - (-2 + 3). Let i be k(f). Solve i = -2*u + u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 6*f - 1. Let g(r) = -2*r - 18. Let s be g(-8). Let w be l(s). Find the third derivative of -13*j**w - 16*j + 7*j**2 + 16*j - 5*j**2 wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*t - 675*t = 592*t - 1260 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -945 + 939. What is the third biggest value in -18, 5, h?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 10*a + 6 - 59*a.\nAnswer: -60*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + (-1 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 0.2. Let x = -1 - g. Which is the third biggest value? (a) -4 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 31 = -29 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 5. Let b(l) = l + 6. Suppose 0 = -26*m + 31*m + 65. Let v be b(m). Let h be x(v). Solve 4*o + 25 = -3*t - h*t, -2*o = 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 363. Let t = s - -304. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100100011110101 (base 2) to base 5\nAnswer: -3121240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249780 by 10.\nAnswer: -24978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5 + 17*v**4 + 6239*v**3 - 346425*v wrt v.\nAnswer: 20*v**3 + 204*v**2 + 37434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -31, 0, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-189)\/(-145506)) - 18\/63. Let v = d + -27857\/12. Calculate the common denominator of 37\/22 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)*z)\/(z*z**(-1\/15)))\/(z**(-2\/9))**(-9) assuming z is positive.\nAnswer: z**(-161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-18)\/(-225))\/5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = 4*i, -6 = 4*g - 7*g. Find the common denominator of ((-69)\/48)\/(i*(-1)\/(-6)) and 139\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348420*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/18504 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + (-19 - (-18 - -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457992291.\nAnswer: 3, 17, 73, 123017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.3. Let q(g) = -g**2 - 16*g - 48. Let a be q(-4). What is the second biggest value in a, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-10)*(-12)\/64.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*i**2 - 250012*i - 45456.\nAnswer: -2*(i + 11364)*(11*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/(-110))\/((-4)\/((-80)\/12)). Suppose -4*c + 3*v = -30 + 5, -2*c = 2*v - 30. What is the highest common factor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3668 = -9*j + 5*j. Round j to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o. Let b be r(1). What is the first derivative of 11*u**3 + b - 17 - 2 wrt u?\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43577*o**3 + 127*o**2 + 110 wrt o.\nAnswer: -261462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 14 = 3*w + 6*i, -2*i = w - 10. Suppose 3*x - 10 = x. Solve x*j + 2*r = 7, j + 4*r = -w*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q - 448 - 12 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 742.5 * 0.1\nAnswer: 74.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -335507 (base 9) to base 6\nAnswer: -4150011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*s + 115*s + 113*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 5*n. Let s be v(6). Suppose -s*c - 3*c - 36 = 0. Let r = 9 + -16. Sort c, -5, r, -3 in ascending order.\nAnswer: r, -5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(((sqrt(1053) - sqrt(1053)*-1) + -4 - (3 + sqrt(1053)*-4)) + 1 + 0)**2.\nAnswer: -2592*sqrt(13) + 151776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(3*g + 2*g - 2*g)*(2*g**3 - g**3 + 0*g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10957 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a. Let c(m) = m**3 + 22*m**2 - 2*m - 42. Let n be c(-22). Let i(k) = k**2 + 8*k. Calculate n*i(g) - 5*z(g).\nAnswer: 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0 - 25*x**2 - 1\/10*x**5 + 1\/60*x**6 - 1\/12*x**4 + 2\/3*x**3 + 0*x + 1\/105*x**7. Suppose j(b) = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 202 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -17.8 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000657391964 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:26 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egt when three letters picked without replacement from kgdgtggetekgktkgekgd.\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33827651 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.4, 2, 0.25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r - 0. Suppose -3*o = 3*w - 0*w - 126, r*o = w + 78. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from ppuppuxugueu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14288606.1736 and -378?\nAnswer: 14288228.1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3) - 20\/60\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-12)*(-5042 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(484) - (-2*sqrt(484) + sqrt(484)))*-5)\/sqrt(11) + -1*sqrt(4400) + 1 + 1)**2.\nAnswer: -160*sqrt(11) + 17605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4020.658 - 0.55.\nAnswer: 4020.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:49 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 + 17*c**4\/12 - 432*c**3 - 1557*c**2. Differentiate t(q) with respect to q.\nAnswer: 3*q**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*597434\/(-10797).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1879630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/15606688 and -55\/568.\nAnswer: 1108074848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5312 = -2216. Let z = k + -593. Is z a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -1) - (-194 - -200)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by -523\nAnswer: -330\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 546*i + 2 + 8 + 107*i in the form u + w*i and give w.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*w + 133*w - 2*z = 4, -8 = 4*w + 4*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -7?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and -9195 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 260 (b) 0.5 (c) -217 (d) 1 (e) 0 (f) -3.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122001210121 (base 3) to base 14.\nAnswer: -188148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 12*o**2 - 9 - o**3 + 1328*o - 1340*o - o**2. Let q be z(-11). Suppose -3*h + 5*n = -4*h + 4, -4*h + 16 = -q*n. Solve -8 = h*x + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3650243.417 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/285)\/((-3)\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24841, -99377, -223603, -397519?\n\"Answer: -24845*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 3 = -4*b. Let o = 4 + b. Factor -2*t**o - t**3 - 2*t**2 - t**4 - t**4 - t**3.\nAnswer: -2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, v: 2, z: 4, j: 1}. Give prob of picking 1 z and 1 s.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -27723456880 to the nearest one million.\nAnswer: -27723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(39)*-2)\/sqrt(3) + -2).\nAnswer: -12*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -135. What is the nearest to 1 in 5, i, -17, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7907)\/(-11) - -1 - 900\/(-4950). Sort 1, 4, s in descending order.\nAnswer: s, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 213*v + 552. Give u(-109).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 14850.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -6 - (-3 + 2 + 4)) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0216 - -0.0484. Is 3\/5 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34532?\nAnswer: 2, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2)*((-39)\/6 - -2). Let l be 216\/30 - f - -2. Factor 1\/5*g**3 + l*g**2 + 0 - 2\/5*g.\nAnswer: g*(g - 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1101 + 1274. Which is smaller: 169 or a?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 2*h - 9. Let f be d(-4). Let y(r) = -4*r**3 + 10*r**2 + 2*r. Let c(b) = 12*b**3 - 29*b**2 - 7*b. Let o(m) = f*y(m) - 6*c(m). Factor o(a).\nAnswer: -4*a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 5*b - 3*b)*(-2*b**2 + b**2 - b**2) - b + b + b**3)*(20*b + 23*b - 63*b).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -9 + (133 + 11)*1 and 111.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let q(c) = -3*c**3 - 11*c**2 - 6*c + 7. Let i(h) = 4*h**3 + 7*h**2 + 4*h - 6. Let u(v) = -3*i(v) - 2*q(v). Determine 4*f(d) - u(d).\nAnswer: 6*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290 + -252 + -1 + -15 - -17.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128569 times 0.057?\nAnswer: -64328.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 1739 + 3445 - 1677 - 111*d.\nAnswer: d**2 - 111*d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by -2849314\nAnswer: -71\/1424657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and (504\/(-98))\/(-3 + 81\/28)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149 = -2*z - 5*f, 572 = -5*z + 6*z + 5*f. Let r = z - 273. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 31\/2, -2, -2\/23, -50?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519734 divided by 13?\nAnswer: 3519734\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*b - 3)*(-167*b - 123*b + 20*b - 1).\nAnswer: -810*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-356)\/(-267))\/(22\/9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 4688*z\/7 - 4686\/7.\nAnswer: -2*(z + 1)*(z + 2343)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 393211412.24137.\nAnswer: 393211408.24137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 2272380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 - 2*a**2 + 2*a**3 - 3*a**2 + 15 + 3*a**2 + 2*a**4 + 6*a**2 in the form m*a**4 + o*a**3 + v + y*a + s*a**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 13. Let w be s(-4). Let m = w + 40. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*s + 88, 0 = 3*s - h - 4*h - 74. Which is smaller: s or 29?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {g: 4, d: 2, t: 1, m: 1, l: 4, y: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 432\/(-54)*12\/(-1920)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*y - 5, 5*y + c - 5*c = 7. Suppose -y*o = -2*i - 38, -2*i - 8 = -o + i. What is the remainder when 55 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/12 and 20\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 + 1423301?\nAnswer: 1424141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 751*c + 5944. Let y be h(-8). Let q(w) be the third derivative of 0*w - 3\/7*w**4 + y + 46*w**2 - 54\/7*w**3 - 1\/105*w**5. Solve q(f) = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50734298, -101468600, -152202900, -202937198, -253671494?\nAnswer: -304405788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 8*s - 8*s**2 + (-1 - 3 - 4)*(-3*s + 3*s + 3*s)*(2*s - 3*s - 2*s).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/160 and -23\/576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**6*x - 54*r**6 + r**2*x + 3*r*x wrt r.\nAnswer: 840*r**3*x - 6480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22 = -2*t, -4*v + 2*v + 31 = 5*t. Let j(p) = -t + 1 + 3 + 0*p + 2*p. Determine j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**4\/8 + 4*i**2. Suppose 0 = -5*n + 3 + 2. Suppose -1 = t + n. Give k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -3*h + 3*k, -2*h = 5*k + 1. Does 6 divide 66 + -4 + 4\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/11 + 88*d**2 - 3898*d\/11 + 2928\/11 = 0 for d.\nAnswer: -488, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269692*k**4 + 720*k**3 - 31*k**2 - 880208*k + 1 wrt k.\nAnswer: -6472608*k + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 2, q: 1, x: 2, e: 1}. Give prob of picking 1 q and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*20\/6. Let d = u + -1. Let t be 7*d - (-1 - 1). Calculate the greatest common divisor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*p - 1 = -9*p, 5*m + 25 = -5*p. Put 3, 2, 4, m in decreasing order.\nAnswer: 4, 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 80*i**2 - 88*i - 600. What is c(-79)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.3. Let o = -33\/7 - -257\/56. Sort -4, o, w.\nAnswer: -4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02403 - 0.27597. Suppose 2*r - 1 - 1 = 0. What is the closest to r in m, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062734466?\nAnswer: 2, 3, 177122411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2105644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31855*g**3 + 72652*g wrt g.\nAnswer: -191130*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 169, 354, 599, 898, 1245, 1634, 2059?\n\"Answer: -u**3 + 39*u**2 + 9*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122200011110 (base 3) in base 13?\nAnswer: 3a5171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p + 150. Suppose -z + 8 = 3*z. Suppose z*l + 3*l - p = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**3 - 14*p**2 - 8*p + 8. Let q(f) = f**3 + f**2 + f - 1. Let r(z) = 8*q(z) + u(z). Find the third derivative of r(g) wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -78 + 68 - 482\/(-48). Which is the second smallest value? (a) j (b) -2\/15 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -16, 9\/2 in increasing order.\nAnswer: -16, 0.3, 4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i**6\/70 - 57*i**5\/70 + 87*i**4\/28 - 36*i**3\/7 + 30*i**2\/7 + 2*i - 18. Suppose n(l) = 0. Calculate l.\nAnswer: 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1518 * -2.13\nAnswer: -23.753334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9164 divided by 4?\nAnswer: -2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 10. Suppose 2*y + n = 0, 5*l = -y + 4*y + 335. Suppose 4*g = l + 68. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*y - 19, -11 = -4*y - w + 6*w. Solve y = 3*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1527 - 1495. What is the highest common divisor of b and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 2. Let l(t) = -4*t + 9. Let q(m) = -9*c(m) - 2*l(m). Let z(o) = -2*o**2. What is z(q(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 380\/1077?\nAnswer: 380\/1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 6 - -1) + -2 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c - 1. Let v(i) = -2*i**2 - 2*i - 6. Let a = -5 + 6. Let g be 5*(a\/5 - 1). Determine g*u(s) + v(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 14 - (-3 - 4 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 20, 90, 230, 464, 816, 1310?\n\"Answer: 4*o**3 - o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i**3 + 66*i**3 - 131*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -137895.4798 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136544?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 887 and 890 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1)\/(-9 + 3 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(2\/15)*h)**32\/((h*h**(4\/3))\/h**(2\/15)) assuming h is positive.\nAnswer: h**(1823\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c + 3*z, -2*z + 4*z = 3*c - 14. Let j be -1 + 3 + c - 4. Suppose j*q - 7 = -5*s - 0*q, -16 = 4*q. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 541892 and 9022.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 13 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 413460 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a - 6. Let w be t(3). Suppose -4*p + 11 = -2*u - 13, 2*p - 4*u - w = 0. Calculate the lowest common multiple of p and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + m = 55, -4*o - 4*m + 2*m = -74. What is the lowest common multiple of o and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 3397*t**8\/336 - t**5\/60 - 227*t**4\/12 + t**3\/6 - 12000*t**2. What is the second derivative of c(y) wrt y?\nAnswer: 67940*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114842, -5, -1 in decreasing order.\nAnswer: 114842, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 241261?\nAnswer: -241254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 20 = -7*v. Let u(t) = -9*t + 9. Let g(i) = -2*i + 2. Give v*u(f) + 21*g(f).\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -581, -159.3, 0.2?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:45 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 22. Let -2\/3*p**h - 10*p**3 + 4\/3 - 6*p**4 + 14\/3*p = 0. Calculate p.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, 6, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 2278*j**6\/15 - 5*j**3\/6 - 25*j**2 + 2*j + 397. Find the second derivative of v(t) wrt t.\nAnswer: 54672*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) 1 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86b (base 13) to base 6.\nAnswer: -10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 6.1 (c) 67 (d) -1\/9 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22021 = -5058*o + 215705 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (264\/308)\/((-16)\/70) - -3. What is the closest to -0.2 in d, 21, -1.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:49 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Let a(h) = -h + 1. Calculate -3*a(w) + 2*z(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73.7 in 4, 21\/10, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 3 + 2 - 3 + 2*p - 5*p - 2*p + (-5*p + p + 2*p)*(2 - 5 + 1) + 10 - 2 - 2*p + 5.\nAnswer: -4*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4862 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + 79. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0015, 5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206*m + 184 - 30 = -1195*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + 4*j**2 - 4*j - 1. Let a(u) = -7*u**3 + 6*u**2 - 6*u - 1. Let z(i) = 2*a(i) - 3*f(i). What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w + 4*w. Suppose f + 33 = 3*g + 105, w = -2*g + 4. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 493 - 493.05. What is the closest to 0.1 in h, -4, -1, -0.07?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 2*i + 1. Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 8, -2*y = 2*i + i - 20. Solve 9*x = y*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/75)\/(-9)*(1 + 4)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30190\/9 or -3353?\nAnswer: -3353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1584) - (sqrt(1584) + -1 + sqrt(1584))).\nAnswer: -12*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d**2 - 109*d**2 + 3*d**2 - 106*d**2 - 105*d**2 + 39*d**2.\nAnswer: -231*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1\/206 (b) 695 (c) 0.2 (d) -2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-380)\/(-228)*(597 + 0)?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*w - u + 26, -5*w + 98 = -13*u - 0*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 - -167. Let h = j - 23. Let s = 29 - h. Let q(z) = z**2 - 3*z - 2. Calculate q(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 798 = 75*u - 15 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3226 + 10602 = -194*l - 1886 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 8, -4*i + 4*z = -0*i. What is the smallest value in i, -0.3, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 563.627 to the nearest integer.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3957757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/4 + 51*c**4\/4 - 477*c**3\/2 + 3915*c**2\/2 - 26325*c\/4 + 30375\/4 = 0.\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382036397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301361.\nAnswer: 301361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/((-2)\/(-10)). Let s = 32 - 32. Suppose s = -3*c + c - b. Which is bigger: c or -10\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7160437891?\nAnswer: 113, 251, 252457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4741.9 - 5013. Let a = -271 - w. Are a and -123 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -356 in 1\/9, 13\/3, 5, 15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - 46\/4*(-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/11, 0, -1\/7 in decreasing order.\nAnswer: 0, -1\/7, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/(5\/((-90)\/4)). Let r(g) = -130000*g**2 + 2*g + 6. Let n be r(t). What is n rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 214992540 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(2\/25)*g)*g))\/g)\/(g*g*g**19) assuming g is positive.\nAnswer: g**(-527\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6 - 3 - 2*p + p. Let b be l(-9). What are the prime factors of (-16)\/b*3\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r**3 - 122*r**2 + 21*r - 20. Calculate b(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:00 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1*(-4)\/22. Which is the fourth biggest value? (a) l (b) -1\/5 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 4, -0.159, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 54188*j + 18149*j - 4738*j - 3.\nAnswer: 67599*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303*a + 5*i = -1335*a + 2603*a + 235, a + 2*i = 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((8\/(-1))\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224516 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17969665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*i + 110, -4*i - 3 = -5*i. Let z = b - 22. Solve 0*h**3 + 1\/3*h**2 + 0*h - 1\/6 - 1\/6*h**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.91888 - 0.92. Round o to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 9697?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*3 - sqrt(9)) + sqrt(9))\/(sqrt(363)*-6).\nAnswer: -3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - r. Let a(u) = -7*u**3 + 3*u**2 + 107*u. What is -a(s) - 3*j(s)?\nAnswer: 7*s**3 - 104*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14 (b) -0.4 (c) 6 (d) 1\/4 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97.5 - 94.507. Let q = -2.6 + -0.4. Let y = q + o. What is y rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 0*l**4 + 1\/6*l**3 - 1\/20*l**5 - 1\/4*l**2 + 2*l + 1\/60*l**6. Let g(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 17*c**2 - 5*c**2 - 4*c**2 + 4*c.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:52 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 + 19*t + 3. Suppose -4*k = -6*k. Does 7 divide w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*x + 4*k, 0 = x + 2*x + 3*k - 51. Let h = 36 + -37. Let i = h - -13. Solve -5*c - 1 = -2*m + i, -5*m + x = c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236884 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -170, -366, -630, -956, -1338, -1770?\n\"Answer: k**3 - 43*k**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 68*q**2\/5 + 4*q\/5 - 272\/5.\nAnswer: -(q - 68)*(q - 2)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 53*y + 98. Let v(d) = -50*d - 90. Give -5*b(n) - 6*v(n).\nAnswer: 35*n + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upzzpqz. What is prob of picking 1 u and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 3*s + 3*s)*(-3*s + 5*s - s)*((2*s - 2*s + 2*s)*(-1 - 3 + 1) - 10*s - 7*s + 16*s) to the form y + f*s**2 + q*s**3 + b*s and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33*((-5)\/(-30) - (-2)\/(-4)). Let u(w) = -188*w + 81. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(10\/3)\/(a**(-1\/4))**(-16) assuming a is positive.\nAnswer: a**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 728671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 12*j + 21 - 6*j**2 - 9*j**2. Let d(g) = 7*g**2 + g - 10. Suppose -4*q - q - 30 = 0. Let b(x) = q*m(x) - 13*d(x). What is b(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.223?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2*l**3\/3 + 5*l**2 + 8*l - 16. Let t be g(-6). Let o be 3*(1 + -1 - -1). Solve -16 = 3*c + 7*i - 3*i, -5*i - t = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**6 - 29\/24*a**4 + 1\/105*a**7 + 0*a**3 + 0*a + 21*a**2 - 1 - 5\/12*a**5. Find the second derivative of g(u) wrt u.\nAnswer: 24*u**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let u(j) = 7*j - 4. Let g(r) = -3*c(r) + u(r). Let n be g(5). What is the greatest common factor of n and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190588609?\nAnswer: 29, 271, 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31833237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/2 + 9\/(-18). Suppose d*z = 2*g + 3*g - 8717, 3 = -z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222021220011 - 1?\nAnswer: -12222021220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129547639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-2*2\/(-4). Suppose m = -s + 3. Let t be s\/(-6) + 32\/42. What is the closest to -2\/3 in 0.1, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15305 - 15243. Sort 2, 5, -12, p, -4.\nAnswer: -12, -4, 2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388406124 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaauuaauauiiiiu. Give prob of picking 2 i and 1 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.871 - 7.471. Let p = -0.3 + 0.1. Which is the third smallest value? (a) p (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-45) - ((-70)\/9 - -5). Suppose 4 = -3*q + 67. What is the highest common factor of s and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*s + 4446 + 4080. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-382 - -42)*-14.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32400, -64640, -96880, -129120, -161360, -193600?\nAnswer: -225840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 10*g**2 - 42*g**2.\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 18*c - 7. Let m be f(14). What is the highest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**3 + 70*t**2 - 1067*t - 4.\nAnswer: -90*t + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 749760438415?\nAnswer: 749760438415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 - 1 - -23 - (92 - 93)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6900*c - 74*c + 50*c + 455*c + 2356*c as m + d*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 3*x - 40586 = 0. Let v = -1502 + x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 times -4797.8\nAnswer: 1952704.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/5 + -6. Let g = -0.147 + -114.853. Let z = g - -119. What is the third biggest value in h, z, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -1\/4 (c) 2 (d) -6 (e) -652\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.5, 1, 4 in descending order.\nAnswer: 4, 1, 0.04, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871788 is divided by 269.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 1424.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**3 - 7*b - 3*b**3 - 5 + 7*b wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2977 and 8015.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41 + -2.41. What is the nearest to 0.4 in m, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -495480 + 495634. Suppose g - 2*z - 69 = 0, 5*g - 400 = 2*z - 3*z. What is the remainder when c is divided by g?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 2*p - 3. Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34\/(-221) - (-167)\/(-13))\/(-5 + 4). Sort -5, 2, -1, 3, k.\nAnswer: -5, -1, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*t + 830*t = 16*t - 537*t + 176003 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 3934.\nAnswer: 169162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0598191371 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 3. Let j be s(-10). Let a = j + 120. Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12010 is divided by 166?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 1150 = 84*d + 33*d - 2945 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -4, -2026\/5, -874 in ascending order.\nAnswer: -874, -2026\/5, -4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 96.1753\nAnswer: 192.3506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*x - 41 = 0, 3*a + 4*x = 19 + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*o - 3*a, -5*o + 0*o + 34 = 2*a. Let r be (-2)\/o + 41\/4. Suppose 0 = -12*z + 14*z - 10. Calculate the greatest common divisor of r and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) -1\/3 (b) -17 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -4. Let d be 2\/(-16)*2 + 1. Let a = 10 - 12. What is the nearest to 1\/2 in a, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 700\/40)*(-2 + 0 - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 97.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 165098377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/205 and -1\/10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -2571280.4358.\nAnswer: 2571253.4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10247651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 281?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*-368183\nAnswer: 1840915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 + 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.33 - 0.33. Which is the nearest to -1\/4? (a) 0 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 5, 17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 22*t + 355863 - 1412429. List the prime factors of t.\nAnswer: 163, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 10 = -5*x + 5*a, -5*a = -5. Factor x + 17*u - 58*u + 7*u + 18*u + 2*u**2.\nAnswer: 2*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.153, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 + f**5\/15 - f**3\/6 - f**2. Let d be 1 - -1 - 0\/(-6). Let p be 0 + d - (-1 - -1). Calculate q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - (-45214)\/814 - (-3815)\/(-77)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(17)*5 - sqrt(136)\/(sqrt(32)\/sqrt(4)).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 456378.1m?\nAnswer: 456378100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7497.74 + 7325. Let r = y + 11.94. What is r rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5868*y**5 + 8028*y**2 wrt y.\nAnswer: -352080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 25 + -4*(-3)\/12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let j(p) = -5*p - 1. Let c be j(-1). Let q(f) = c*f**2 - 2*f**2 - 2*f + 2*f. Calculate w(q(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 2*x + 2*u, -2*u = 0. Let a(c) = 7*c. Give a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 818257 and 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/29, 32482, -1\/6, 1\/6, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -39*u + 1. Let k(x) = -2*x - 15. Let p(t) = 3. Let c(o) = -k(o) - 5*p(o). Determine d(c(r)).\nAnswer: -78*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15656, -31207, -46702, -62141, -77524?\nAnswer: -92851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*s + 85 = 0, -l + 5*s - 75 = l. Let v = 2 - l. Suppose 8*w + 11*w = 25*w. Solve -31 = -0*h + 4*h + 3*i, w = 3*h + 3*i + v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12895 - -64993\/5. Which is greater: 103 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/20*20\/(-36). Which is the fourth smallest value? (a) -3\/8 (b) -16\/5 (c) 2\/9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/(-18)*15*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33418.4 and 47?\nAnswer: -1570664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-2\/11)*m*m**(2\/25)*m assuming m is positive.\nAnswer: m**(1072\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000063 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose 2*h - 21 = -q + 58, m = h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 36. Let a(b) = -5*b + 9. Determine x(a(g)).\nAnswer: -35*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -506 + 5?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -5, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -92*p + 84*p + 16, 4*u + 20 = 4*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 9*p - 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74165, -148462, -222759, -297056?\nAnswer: -371353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*w**2 - 11*w**2 - 204 + 67*w**2 as z + d*w + p*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4254567973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 9. Suppose -2*o + 4*o - 4 = 0. Let w(p) = o*p**2 - 4*p - 4 - p**3 + 2*p**2 + p. What is w(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*i**2 - 2*i**3 - 674*i**2 - 1 + 218*i**2 + 242*i**2 + 577*i**4 to r + y*i**3 + l*i**4 + k*i + g*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 33*i - 240 - 690 + 205 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29.44, 0.5.\nAnswer: -29.44, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - b + 6*b - 445, 4*z = 3*b + 328. Let q = 84 - z. Is q greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.051? (a) 1\/2 (b) -2\/13 (c) 4 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 2*r, -4*p - 18 = -2*r + 2. Let u be (5 - (-12)\/p)*2. What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 12, 4*a - 2*i = i + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 895567883 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425926092.\nAnswer: 2, 6043, 100361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, -20606, -74, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3*-3 - -10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:54 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -546 + 543. Is p*((-2)\/(-6))\/(5\/(-230)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -86, -125, -164, -203?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32, 0 in decreasing order.\nAnswer: 0, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -357, -627, -959, -1353, -1809, -2327?\nAnswer: -2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 23*u**2 + 7*u - 15. What is the remainder when c(2) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -5, 1, -3, 16, 8 in increasing order.\nAnswer: -36, -5, -3, 1, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 2*o**2 - 9*o + 36. Let d be x(3). Solve d = 2*p + 5*z + 21, 4*p = -0*z - 5*z - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*r**4 - 2644*r**3\/7 - 2488*r**2\/7 - 496*r\/7 = 0. Calculate r.\nAnswer: -62, -2\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 5*p - 24. Let g be f(-17). Let z = -173 + g. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 3*r + 7, 1 = -c + r. Solve 0*s + c = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - d**3\/2 + d**2\/6.\nAnswer: d**2*(d - 1)*(2*d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.357 + 0.023. Let y = -1.92 + 2. Let g = n - y. Is -2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2, 2*i = 13*j - 132 + 17 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11)\/g)\/g*g)\/(g*g**3*g*g)*(g**(-1\/4)*g)**3*(g**(-3)\/g**(2\/7))\/(g**(-1\/3)\/(g*g**(-3))) assuming g is positive.\nAnswer: g**(-9133\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-14)*f\/f**(-14)*((f*f**(-5\/2)*f*f)\/f)\/f**(-8\/7) assuming f is positive.\nAnswer: f**(429\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 16. Solve 0 + 25 = -h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5367 + -5291. Let q = 29 - -9. Calculate the highest common divisor of x and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124604872 divided by 502439\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 43. Which is the third biggest value? (a) -2\/5 (b) l (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -220, -339, -466, -601?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.1 + 4.1. Which is the nearest to 0.1? (a) 0.05 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(2 - 2*i - 2) - 3*i - 3*i + 5*i - 706 - 47*i + 706 + 3*i - 5*i + 3*i in the form v*i + x and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1687 - -3035?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853066921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 1470 = 5018. What are the prime factors of f?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Suppose 0*n - 13 = p*w + 3*n, w - 5*n = 0. Let u be w\/6*(-9)\/30. Which is the nearest to u? (a) -4 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbwnbbwbb. Give prob of sequence bww.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3cc9 + 15bab?\nAnswer: 11bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (94 - 35) + -29\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(1\/2*-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3195 - -3194. Which is bigger: c or -95?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 994 + 5*o + 1020 - 1993 to the form u + w*o and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*z + 25461. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-8)\/(-10)) + -2. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-176) - (-358)\/16. Let a be (r\/(-55))\/((-4)\/5). Factor -1\/2*k + a - k**2.\nAnswer: -(k + 1)*(2*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + n)*(0 - 3 - 5) - 2*n - 2 + 2 + (-3*n - n + 2*n)*(0 + 0 - 2) + (-1 + 3 + 1)*(-3*n - 7*n + 4*n).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/39)\/((-46)\/(-897)) - (-18 - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 9297*u - 149520.\nAnswer: 3*(u - 3115)*(u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-10 - (-11 - -19)) - -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025201131 + -107.6.\nAnswer: -107.574798869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 + 944 = 68*j. Calculate the remainder when 107 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 171. Find the first derivative of 7*k - s*k - 96 + 15*k + 14 wrt k.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + 2*d**4 + 5*d**4)*(-12 + 12 + 5*d + (-7*d - 31 + 31)*(-2 + 5 + 0)).\nAnswer: -64*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12\/c)\/((c**(-2\/11)\/c)\/c))**(-10) assuming c is positive.\nAnswer: c**(-1450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**4 + 20*v**3 + 283139*v**2 + 29 + 2*v - 283139*v**2 - 15*v**4 to k*v**2 + n + l*v**3 + g*v**4 + d*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -141, 1 in decreasing order.\nAnswer: 2, 1, -4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1010448 and -107\/360.\nAnswer: 5052240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3520, 22370, 53786, 97768, 154316, 223430, 305110?\n\"Answer: 6283*z**2 + z - 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s - 2. Let y(n) = -780*n - 143. Let q(c) = 143*k(c) - 2*y(c). Let o(x) = -10*x**2 + 4 - 4 + 11*x**2. What is q(o(b))?\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -111 + 3*o + 112 - 2*o. Let m(v) = -6*v**3 + 4*v**2 + 3*v + 3. Let k(y) = m(y) - 3*u(y). Find the third derivative of k(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61330790, -61330770, -61330750, -61330730, -61330710, -61330690?\n\"Answer: 20*q - 61330810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 13440 = 38*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 4*o, -4*s - 4*o + 26 = -46. Solve -6 + s = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5107 is divided by 497.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 72. Let n be l(-16). Let p = -75 - n. What is the remainder when p is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let q = 13 - -3. Let f(h) = 3*h**2 - h**2 - q*h + 16*h. What is f(u(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 28, 1\/32, -4, -6\/5, 3\/7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let a = -1.33 + -0.07. What is the nearest to 1 in l, 2\/11, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3794, 4027, 4260, 4493?\n\"Answer: 233*j + 3561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728105 at most as big as 2728103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831545059.\nAnswer: 1831545059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 147*l**2 + 275*l + 2132. Let x be z(145). Let o(y) = -y - 43. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1491 to 2 decimal places.\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.07 - -0.07. Let m = 0.01 - 0.41. Sort t, m, -0.3.\nAnswer: t, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 3*j**6\/10 - 5*j**4\/6 + 3*j. Find the third derivative of n(f) wrt f.\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216.1094 + 42.11232. Let x = -174 - h. Round x to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q. Let i(l) = -81178*l**2 + 81151*l**2 + 4 - 3. Give i(w(r)).\nAnswer: -2700*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 + -7.7. What is the third biggest value in 2, 4, x, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38731970 is divided by 84.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 - (8 + (-4 - (9 - 4))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**4 - b. Let l(m) = m**2 + 4*m. Let u(z) = 4*i(z) + l(z). What is the third derivative of u(y) wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1467569436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/(-18)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let v(h) = -2*h + 3. Let c(b) = -5*b + 7. Let s(a) = 3*c(a) - 7*v(a). Calculate z(s(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 307 + 448. Let l be -1 + 5*242\/8. Let g = a - l. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/16 + -13\/80. Let d = 1.3 - 6.3. Let b = 298.9 + -299.2. What is the nearest to b in i, d, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 - 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 45*l = 46*l + 4, -p + 2*l + 11 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(-4*(-1)\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1629 - 740. List the prime factors of x.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63088035 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136, -1052, -1966, -2878, -3788?\n\"Answer: a**2 - 919*a + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 646?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((873600\/2002)\/(-120))\/((-15)\/594)\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 - -2.52. Let k = -0.122 - -0.022. What is the smallest value in 3, -2\/21, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 85*d + 5465. Let r be z(-64). Calculate the greatest common divisor of r and 26225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a - 25. Let o(b) = 5*b**2 + 32*b - 125. Let z(y) = -22*f(y) + 4*o(y). Let g be z(-6). Solve -g*r - 4*t = 20, -2*r - 4*t = 2*r + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpllpe. What is prob of picking 2 l and 2 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 7*u**2 + 6*u - 3. Let b be ((-70)\/(-45))\/7 - (-25)\/9. Suppose -b*t + 24 = -f, -2*t + f - 6*f = -16. Calculate r(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 27*z + 110. Let o be r(22). Suppose o = 2*h - 3*u + 8, -2*h - 4 = -u - u. Solve 6 = -f + h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 8*x - 3. Let o = 67 - 63. Suppose -o*z - 221 = -n - 2*n, 0 = 5*z - 20. Calculate the remainder when n is divided by f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-17)*(t\/t**(2\/5))**10 assuming t is positive.\nAnswer: t**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*z - 615 = -139 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(24\/(-6))*10\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2311, 9314, 20989, 37336, 58355?\n\"Answer: 2336*f**2 - 5*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -588.161557 rounded to two decimal places?\nAnswer: -588.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -62.77. Let c = n - 0.43. What is the closest to -1 in c, 0.1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*d. Suppose -4*o = -0*z + 5*z - 36, 5*z - 8 = d*o. Let t be -1 + -1 - (0 - o). Solve 0 = 4*l - 12, -2*q = 3*l - t - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:15 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 348\/(-42) + (-4)\/(-14) - (32 + -44). Solve -15 = -k*m - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 - 4*d - 12. Let o be w(8). What is the greatest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 1541290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 23*a - 54. Suppose -4*r = -3*c - 25160, 5*r + a*c = 8*c + 31455. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4282, 4266, 4240, 4204, 4158?\n\"Answer: -5*v**2 - v + 4288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b = 1536 + 3596 - 617 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f - 455e5?\nAnswer: -45664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 6*m - 7. Let x be h(-4). Let k be 0\/x*(-1)\/(-2). Solve k = -3*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 230\/229?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s**3 + 6*s**2 - 9*s - 8. Let p(c) = -8*c - 6 + 4*c + 3*c**2 - 5*c**3 + 2. Let f(w) = -9*p(w) + 4*u(w). What is m in f(m) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*s*u**3 + 3*s*u + 2591*u**3 - 13258*u wrt u?\nAnswer: -174*s*u + 15546*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 - -4) + (5 - (3 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102)*-1 - sqrt(102)) + sqrt(102))\/(sqrt(216)*1).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 9*d**2 - 11*d + 4. Let c be j(7). Let a be (-1)\/3 + 33\/(-9). Let q be (10\/(-4) - 0)*a. Calculate the highest common factor of q and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -267 and 0.3.\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 511836222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 40*z + 1. Does 13 divide k(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 17*h**4\/12 + 35*h**3\/3 + 33*h**2 + 2. Differentiate b(j) with respect to j.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 4 + 34. Suppose u*d - 6*d = 2. Let j(c) = 8*c - 5. Let p(b) = -9*b + 6. Let h(r) = 5*j(r) + 4*p(r). What is h(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.79 rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-2*sqrt(5)) - (sqrt(272) + (2*sqrt(272))**2).\nAnswer: -1088 - 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171898 and 1803520?\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9633 + 6328882\/657. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 16 = 42*l + 5*w, 0 = 4*l + w - 1. Let x be 0\/(-15) + l*81. Calculate the greatest common divisor of 891 and x.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1685095?\nAnswer: -2\/1685095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6.7, 0, -3\/2, 4\/9 in descending order.\nAnswer: 6.7, 4\/9, 0, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(0 + sqrt(98)*-1 + (sqrt(98) + (-1 + sqrt(98) - sqrt(98)))*1) + 5 + 5)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7680*v + 7680*v + 101*v**3.\nAnswer: 101*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22052102 - 15?\nAnswer: -22052121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + (sqrt(170) - 2*sqrt(170))))*1 + 4*sqrt(170)*-1)\/((sqrt(10) - (sqrt(160) + sqrt(40))\/sqrt(4)) + sqrt(810)*1))**2.\nAnswer: 153\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 - -7. Let o = -1 - -3. Suppose 0 = -4*w - 2*m - m - 6, -6 = 5*w + 3*m. Which is the closest to x? (a) o (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 1. Let d(v) = -v**2 + 6*v + 3. Let p(u) = -d(u) - 3*t(u). Let i(n) = 10*n**2 + 4*n**2 - 8*n**2 + 4*n**2. Determine p(i(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*j**2 + 2*g**3*j - 3*g**3 + 3*g*j + 50*j**2 wrt g?\nAnswer: -6*g*j**2 + 12*g*j - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2 (c) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = 92*b - 2567 - 2406. Solve b = -3*n + 18*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170) - (-6*(sqrt(170) - sqrt(170)*-1) + sqrt(170))) + sqrt(170))*1)\/(sqrt(810) + sqrt(810) + (sqrt(810)*5 - sqrt(810))*2))**2 + -5.\nAnswer: -37627\/8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 2*t + 1. Let f be s(-1). Let z(k) be the first derivative of 2*k**3\/3 - 5*k**2\/2 + 2*k - 1. What are the prime factors of z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 6)*(6 - 222\/36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*d*q*r - 98465*d*r - 10*d + q*r - 83158*q - 14*r wrt q?\nAnswer: -20*d*r + r - 83158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5767*l - 4950*l + 10717 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkyk. Give prob of picking 2 k and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqjsvqqqjqqqjqqvqrj. What is prob of sequence rv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*s + 9*s - 6 - 86 = 22*z, -s = 41*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/14 - 18004\/(-3136) and -9\/536.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:37 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 397*g - 2*g**3 + 6*g**2 + 370*g to k*g**2 + v*g + o*g**3 + z and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, -36, -86?\n\"Answer: -50*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4\/11, -7, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 - 111.00073. What is r rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 7019.\nAnswer: 56152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 94*t - 97*t - 7, 6 = -t - 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14 and -3\/992.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 5 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 13. Let j be l(-11). Solve j = -f - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -3\/4, -0.7, -29019, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = -2*w + m, 267 = -3*w - 3*m - 432. Let i = 384 - w. Suppose -4*l - 66 + 693 = a, -4*a = 4*l - i. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 7*w - 19. Let c be l(8). Let s = c - 329. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 105*c**2 + 64*c - 4463. Calculate b(-106).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2. Let c(s) = -37*s + 37*s + s**2. Let g(m) = 3*c(m) - h(m). Let q(d) = 5*d. Calculate g(q(p)).\nAnswer: -125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.54 + 11.54. What is the nearest to -4 in -5, w, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454401427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/((-4)\/(-9)))\/(13*39\/(-5847062)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/(72\/9)*(25\/5)\/(-10)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 10*x + 6*x + (4 + x - 4)*(-3 + 0 + 2) - 1 + 2*x + 1 + 0 + 0 + 2*x)*(-79*x**2 + 211*x**2 - x**2).\nAnswer: -1048*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38467?\nAnswer: 11, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -87 - 153) + 1 + 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l**3 - 6*l**2 - 19*l - 63. What are the prime factors of g(-11)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 + 1348 = -133*z - 1749 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2.4837.\nAnswer: -2.4837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 + 3*l - 3. Let t be m(-4). Let p = -1359 - -152209\/112. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 379136 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -12212?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + ((-1)\/(-1) - 0). Which is the closest to -2\/5? (a) u (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4 + 3 + 6*a**2 + 0. Let b be (-9)\/11 + (-5)\/(330\/12). Let l be j(b). Solve 5*m = -15, -3*v - 6 = l*m - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -913 times -0.751\nAnswer: 685.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(140) + (sqrt(140)*-1 - sqrt(140))*5 - sqrt(140)))\/(2*sqrt(700) + sqrt(7) - (sqrt(112) + sqrt(112)*-1)).\nAnswer: -20*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x + 4*x + 1 + 0*x + 2*x. Let m(c) = -c**2 + 10*c - 12. Let i be m(10). Let q = 12 + i. Calculate z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-278)\/(-84) - (-4)\/(-1))*4. Let x = v + 295\/84. Which is the nearest to -4? (a) x (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483*n + 60783 - 60783.\nAnswer: -1483*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u**5 - 372*u**4 - 1893*u**3 + 45822*u**2 - 160800*u - 38016 = 0. Calculate u.\nAnswer: -11, -2\/9, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7997423705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117 and -53.3.\nAnswer: 6236.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -130, -372, -848, -1636?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -13.24. Let x = -35558.75938 - -35558. Let b = t + x. What is b rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552a (base 15) to base 7.\nAnswer: -103411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(50\/(-5))*90\/((-324)\/18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(105)*1)\/sqrt(7))\/(sqrt(750)\/sqrt(6)))**2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*v + 211*v + 2 = 2*f, -21*v + f - 200 - 116 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -1 + (-15 - (-15 - 19)) + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23129909765 - -0.6?\nAnswer: -23129909764.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 136, 268, 396, 520, 640, 756?\n\"Answer: -2*n**2 + 138*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 103*z - 109*z + 54, 4*g - 92 = 4*z for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 664 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 1 d when three letters picked without replacement from {z: 1, y: 1, x: 4, e: 2, d: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192897162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/78 and -92\/2175?\nAnswer: 56550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/60 and -56\/885.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/720 + c**5\/60 + c**4\/12 - c**3\/2 + 2*c**2. Let i(q) be the first derivative of d(q). Solve i(h) = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummrrmmpjmmmmmmrmmmm. What is prob of picking 1 p, 1 j, and 1 r?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/(33\/(-198)*6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50493*c**2 + 4167*c + 1?\nAnswer: -100986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*g**6 + 5*g**4 - 17*g**2 - 86*g?\nAnswer: -11040*g**3 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 49*x**2 - 131*x - 59. Is 10 a factor of y(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104090 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14*-0.058\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 983.8 and 0.048.\nAnswer: 983.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + -1 + -1) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/3, -31 in increasing order.\nAnswer: -31, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (104\/13 + -7)*-2*(-39)\/6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1568606 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 40. Let n = -18 - -28. Let v = 9.8 - n. What is the second biggest value in c, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 6310, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64.0355 + -0.0355. What is the third smallest value in -5\/4, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 27*k = -112. Which is the nearest to 1? (a) k (b) -1\/6 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 14033.\nAnswer: -28066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 9*l**2 + 213*l - 101. Determine g(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 409187 divided by 2?\nAnswer: 409187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -6*q - 11. Suppose -q*v + 15 = -0. Put -5, v, -3, 2 in descending order.\nAnswer: v, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {g: 5, b: 2, j: 6, w: 2, s: 1, f: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - w - 19. Suppose -5*i - 39 = -2*v - 5, -10 = i - 2*v. Let y be m(i). What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*w = 325, 3*l - 2*w + 7*w = 171. Let g be 52\/(-598) - l\/(-184). Which is the closest to 2\/9? (a) g (b) 0.07 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let f(o) be the second derivative of 5*o**3\/6 - 5*o. Determine a(f(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/6 + 5*x**3\/3 + 6*x**2 + 2*x + 15. Factor s(z).\nAnswer: -2*(z - 6)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z**(2\/9)*z)\/(z**(-5)\/(z*z*z**2\/z)) assuming z is positive.\nAnswer: z**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**4\/11 - 14304*j**3\/11 + 11329338*j**2\/11 - 272198640*j + 8880976800\/11 = 0 for j.\nAnswer: 3, 740, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (3 - 2))*-23. Suppose -t - 101 = -4*v. What is the tens digit of (-9 - -12) + v*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q + 1. Give j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24 and -5\/1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/108 and -5\/126.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211335, 0, -3 in increasing order.\nAnswer: -211335, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/248 and 161\/13068?\nAnswer: 810216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9564, 19124, 28694, 38280, 47888, 57524?\n\"Answer: v**3 - v**2 + 9556*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101 + 635*h**2 + 557 + 90*h**2 - 41*h**2 wrt h?\nAnswer: 1368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 4*h**6\/15 - h**5\/4 - h**3\/2 - 1372*h**2 + 3213*h. Differentiate v(q) with respect to q.\nAnswer: 32*q**3 - 15*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1460 - -2434. Let k = 1723 - z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/6)\/q**3)\/(q\/(q*q**(-1\/4)\/q))**(1\/28))**18)**(5\/3) assuming q is positive.\nAnswer: q**(-5395\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -433 + 433. Let f = -0.96 + -0.04. Which is the closest to -3? (a) o (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) -210 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 7*u = 70, 10*u + 38 = -4*x + 8*u for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3605, 0.3, -2?\nAnswer: 0.3605","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**6\/15 - 7*w**4\/4 + 23*w - 35. Let x(m) be the first derivative of j(m). Find the third derivative of x(q) wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*o = -7*p + 19722, 0 = 2*p + 8*o - 39448. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 9*w**2 + w + 9. Let t = 146 - 155. Calculate c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53404 divided by -26\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 10*q + 2*x + 131, 4*q + 5*x = 213. Calculate the highest common factor of q and 20821.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 53858299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11202022010212 (base 3) to base 5\nAnswer: 1121302420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 290 = a - 3*a, -3*a + 4*f = -435. Suppose 4*g = -a + 637. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 960*w**2 + 706392 - 706392 to the form o + h*w + k*w**2 and give k.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 6*p + 10. Let o be l(11). Let c = o + -12. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12854998, -12854997, -12854996?\nAnswer: -12854995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**3 - 3*d**2 - 20*d. Suppose -2*h = -h - 2. Suppose -h*x = -2 - 10. Let s(i) = -5*i**3 + i**2 + 7*i. What is x*a(r) + 17*s(r)?\nAnswer: -r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - v + 6. Let j be s(-3). Calculate the highest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59153 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-3)\/(-3) + -2). Solve 0 = 3*w - f + 4 - 5, w + r*f + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:08 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-20 - (0 + (-32 - -13))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(33\/(-6))\/11*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (32\/(-6) - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10912 + -10913. Sort n, -2, -8, 0.13 in descending order.\nAnswer: 0.13, n, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-3))\/2)\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -9. Suppose -3*f - 15 = -x. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 - 1871*d**4 - 40513*d**3 + 891565*d**2 - d + 1 wrt d.\nAnswer: -60*d**2 - 44904*d - 243078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/j**(1\/12))**21\/(j**2*j**(2\/25))**7 assuming j is positive.\nAnswer: j**(-22631\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27912 and 8?\nAnswer: 27912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((3 - (0 + -2)) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Suppose 0*k + 2 = 3*k - s*m, -2*k + 4*m + 4 = 0. Sort 3, k, 5 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-4))\/((-4)\/(-12)). Let x be (-135)\/(-6)*44\/s. Suppose 0*q - x = -3*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47395267631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**28*c)\/c*c)\/((c**(3\/4)*c)\/c)*(c\/c**26)**(-40))**(-47) assuming c is positive.\nAnswer: c**(-193311\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/45 and -11\/558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -26, -0.044 in ascending order.\nAnswer: -26, -0.044, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) - 2\/4*-4. Let w = -18 + 25. Solve -m*a - 2 = -w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*h + 90, 5*q + 0 = 2*h + 342. List the prime factors of (-42)\/q*(-125 - 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:03 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 9605.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2809 (base 11) to base 3\nAnswer: 11222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6750853.\nAnswer: 17, 67, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/8 - 17*b**4\/8 - 10*b**3 - 8*b**2.\nAnswer: -b**2*(b + 1)*(b + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -180 + 17 + 76*u + 256*u**2 + 322*u**2 - 576*u**2. Give f(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2376 and -101\/990?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2600415 - -21?\nAnswer: -2600364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7225*g. Let w(c) = 289*c. Determine 2*q(t) + 51*w(t).\nAnswer: 289*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52944, -105894, -158846, -211800, -264756, -317714, -370674?\n\"Answer: -p**2 - 52947*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 5*r**2 - 7*r**2 + 10*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(7\/3)))\/o**2)\/(o**1)**(-15))**(-31) assuming o is positive.\nAnswer: o**(-1426\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 + 203854*m**3 + 6926415276*m**2 + 78462428849128*m + 392139009344240 = 0?\nAnswer: -33974, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291828, 291830, 291834, 291840, 291848, 291858, 291870?\nAnswer: 291884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14744786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -0.073\nAnswer: -22.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let g(r) = -5*r**2 + 20. Determine l(g(m)).\nAnswer: -15*m**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 37. Let i be l(-8). Let d(q) = q**3 + 5*q**2 + 4*q + 2. Give d(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - h - 1. Let t(u) = 4*u**3 - 5*u**2 - 5*u + 1. Let g(r) = 5*r**3 - 7*r**2 - 7*r + 2. Let s(f) = 2*g(f) - 3*t(f). What is 3*m(x) + 3*s(x)?\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 231, 0.3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 109690.9 micrometers?\nAnswer: 109690900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p + 42. Let b be a(-8). Solve -3916*c**b + 0*c + 8*c**3 + 0*c + 3928*c**2 - 4*c**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 11947160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713, 1421, 2127, 2831, 3533, 4233, 4931?\nAnswer: 5627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*22\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 670330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 12891766?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2244 and 578085?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9946 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 0. Let k(f) = -f + i + 6 - 3. What is k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 61. Let d be (g + 5)*(-2 + 1) + -2. Is (67\/d)\/((-14)\/28) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24060, -23603, -22364, -19953, -15980, -10055, -1788?\n\"Answer: 65*r**3 + r**2 - r - 24125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from sstssstssssstss.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-31)\/(16864\/(-96))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11195 + -11140. Solve -r*k + 58 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37 and 836.\nAnswer: 30932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (62\/(-124))\/(7\/(-2)). Let o(g) be the first derivative of -6 + 0*g + 3\/7*g**2 - k*g**3. Solve o(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688d (base 14) to base 15\nAnswer: 55a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 2*o**7\/105 + o**6\/5 - o**5\/5 - 8*o**4\/3 + 8*o**3 - o**2 + 85*o. Solve u(h) = 0 for h.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, a: 3, v: 8}. What is prob of sequence aiav?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 + 8 = 30*b. Let n(l) = 389*l**2 - 7*l + 270. Let z(r) = 197*r**2 - 3*r + 135. Let x(w) = b*z(w) + 3*n(w). Differentiate x(p) wrt p.\nAnswer: -424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v)**(-5)\/(v**3)**(-33))**(-14) assuming v is positive.\nAnswer: v**(-966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(833) + 0)*4 + -1.\nAnswer: -1 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 m, and 2 i when four letters picked without replacement from {m: 2, i: 7, u: 4, j: 2, l: 2, v: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + -12 - 3) + -5 + 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583 - 582.999561. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -69*2871\/(-135) + 2\/(-5). Round u to the nearest ten.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223 (base 4) to base 15\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) 30.2 (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*p + 3*d, -4*d + 15 = 2*p + 3. Suppose r = -r + p. What are the prime factors of 2*(3\/3 + r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.255486um to meters.\nAnswer: 0.000009255486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 320*p - 1. Let t(a) = -2*a. Give t(w(u)).\nAnswer: -640*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*n - 26 = -2*f, -37*n = -17*n - 3*f + 101 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -40.138. Let q = -2.138 - n. What is the closest to -0.1 in 25, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 6. Let r be h(-6). Suppose r = -0*g + 2*g + 2. Calculate the remainder when 2*-1 - (-8 + g) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/145 (b) -2\/5 (c) 4 (d) -2\/819\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:05 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = b + 4, 34 = 4*b + 4*j - 10. Let z be 42 - (-5)\/((-10)\/b). Suppose 4*y - z = 2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**2 - 10*x + 294 + 3*x**3 + 297 - 587 as z*x + i*x**3 + l + q*x**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 29 - 19 = 3*g, -8*x - 20 = -3*g. Solve -g*p = -2*q + 2, -4*p - 6 = -3*q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598367565 to the power of 1\/2, to the nearest integer?\nAnswer: 50974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/5 + 622\/(-40))*-12. Calculate the greatest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4\/31)*(l*l**(1\/3))\/l)\/(l**(-1\/10)\/l)**11)**35 assuming l is positive.\nAnswer: l**(88291\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyyuzzzzyz. What is prob of picking 1 y, 1 z, and 2 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336\/5 - -66. Which is smaller: 28 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 135204?\nAnswer: 135154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose -7 = -5*l + v. Suppose 3*d = l*z + 7 + 2, 21 = 2*z + 3*d. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1. Let m(r) = 22*r**2 + 11*r - 7. Let d(q) = -4*q**2 - q + 1. Let z(t) = -6*d(t) - m(t). Give -j(p) + z(p).\nAnswer: 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 619*h + 1007*h + 8297*h + 164*h in the form y + t*h and give t.\nAnswer: 10087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44020 is divided by 1099.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2304 = -71*s + 263*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - 26\/(-4). Suppose w = r*w. Differentiate -2*s**2 + w - 2 + 3 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 + 16076*h + 52485120 = 0 for h.\nAnswer: -11520, -4556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 20. Suppose -4*v + 6*v = j. Solve 14 = v*x + 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, l: 14}. What is prob of sequence lsll?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/90 - 19*g**4\/6 + 39*g**3 - 4173*g**2. Factor o(m).\nAnswer: -2*(m - 3)*(m + 117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from kkpkpp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-18)*(69 - -1). What is the greatest common factor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2693 + 6*c**2 + 2693.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 4*o - 2*o**4 + 5*o**4 + (o**4 + o**4 - 3*o**4)*(-1 + 0 + 0) + 5*o**4 - 4*o**4 + o**4 as p*o**4 + v*o + d*o**3 + n + x*o**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 2.4. Is 1\/3 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 1 - 37*p + 37*p + 5*p**2 to u*p**2 + l*p**3 + i*p**4 + n + c*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17250 + 421*z**2 - 17278 + 34528.\nAnswer: 421*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298634*x + 492 = -298622*x for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 6*o**2 - 6*o - 3. Let m be j(-5). Suppose -188 = 5*q + 82. Let a be 3 + 202\/q + (-12)\/(-18). What is the nearest to 2\/5 in m, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -61?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -4*w - 185. Let a = -43 - w. Calculate the highest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q - 11. Let p(d) = 47*d + 572. Let v be p(-12). Give s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 32, 31, 30, 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586486.9s to milliseconds.\nAnswer: 586486900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let y be (2 + c)\/(-3) + 3. Suppose 2*x - 39 = l - 0*l, 2*l = 3*x - 58. Solve -5*o = 5*s + x, 7 = -2*s + y*o - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98934037 to the power of 1\/2, to the nearest integer?\nAnswer: 9947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10001100000000100011?\nAnswer: -10001100000000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-45)\/24)\/(-5)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - 7 + 3 + 35*v + 16 - 5 - 5 in the form j*v**2 + z*v + t and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360765086781 minus 0.5?\nAnswer: 360765086780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/9487 - 18956\/28461. Which is the closest to -0.053? (a) 38 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 4*x + f, -5*x + 5 = -5*f. Let g(r) = -x - r + 8 + 0*r + 0*r. Let d = -10 + 19. Calculate g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) - (sqrt(72)*2 - sqrt(72) - sqrt(72))) + sqrt(72) - -6*sqrt(72)\/sqrt(4))\/(3*(sqrt(72) + sqrt(72)*-1*-5)\/sqrt(12)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(2\/7)\/t))\/t)\/t*t)**(-1\/26)*t**6*t\/(t*t*t**(1\/4)*t))**(-12) assuming t is positive.\nAnswer: t**(-4065\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -69, -157, -281, -441, -637, -869?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25197148, -25197151, -25197154?\nAnswer: -25197157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n = 82*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123 or -0.3?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1\/4 (c) 539\/680 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4 + l + 3*l + 6*l. Does 8 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - t + 3, 0 = -f - 4*t - t - 1. Let n(y) = 3*y - 11. Let c(a) = 2*a - 6. Let i be 8\/(-1) - (-3 + 2). Give f*n(h) + i*c(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 3*s - 14. Let u be v(-6). Solve u*r = -3*f + 11, -f + 5*r - 2*r = 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)\/m)\/(m\/(m**(1\/3)*m))*m**(-2\/11)\/m*m*m**4 assuming m is positive.\nAnswer: m**(-424\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let k(o) = -520968*o**2. Give a(k(u)).\nAnswer: 1041936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {g: 2, r: 2, a: 2, h: 6, w: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 108 (b) 4\/31 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 231\/99 - (-1 - 2\/(-6)). Let x(c) = -2*c**3 - c**2 - c - 3. Let r(y) = 2 + 1 - y - 4. Give d*r(b) - x(b).\nAnswer: 2*b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 8*v - 6. Let o be x(9). Let r be (2\/1 - 0) + o. Solve 0 - 5 = r*f - 5*d, -f - 3*d = 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**33*(n\/n**(-3\/10)*n*n)\/(n\/n**(3\/4)) assuming n is positive.\nAnswer: n**(721\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u - u)*(37 - 9 + 57).\nAnswer: -170*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -582 + 394. Let z = -134 - w. Let f = z - 20. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1907, 2342, 3093, 4154, 5519?\nAnswer: 7182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*m + 73677, l - 77155 + 3433 = 5*m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -439, 0.3, 9, -181?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 - 3. Let q(v) = -v**2 + 4*v + 3. Suppose 0 = 3*b + b - 16. Let n be q(b). Give g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + (-3 - (-445)\/15). What is the highest common divisor of 663 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133690.\nAnswer: 2, 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 5) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 728.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 12. Let z be l(-3). Solve z = -22*d + 19*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/25840 and 101\/760.\nAnswer: 25840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521135 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2 - 15*x + 42. Give l(3).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89754 divided by 42.\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 22. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.70366171 rounded to two dps?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49627.5 hours in nanoseconds?\nAnswer: 178659000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 14) to base 16\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + 1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*r**2 - 176\/7 - 38\/7*r.\nAnswer: -2*(r + 8)*(r + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 2*o + 0*o + (0*o + 0*o - 8*o)*(-10 + 5 + 4) in the form d*o + b and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -11 (c) -38\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmqmmqmmqmmmqq. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 5*p + 4*b + 19, -3335*p + 3340*p - 46 = -4*b + b for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/570 - 31*q**4\/76 - 94*q**3\/57 - 302*q**2 + 2*q. Determine w so that y(w) = 0.\nAnswer: -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {o: 1, u: 1, z: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1053 - -1049. What is the fourth biggest value in 0.5, 2, l, 151?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-6*(sqrt(68) - sqrt(68)*1) - sqrt(68)))\/((sqrt(144)\/sqrt(4))\/sqrt(9) + (1*sqrt(12))\/sqrt(3)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27690 and 1466778066.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 3, r: 15}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(4\/16). Suppose -n - 2 = -l*n. Suppose 0*i + n*i = 28. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from {j: 1, p: 1, w: 2, v: 4, i: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -97. Let o(g) = 3*g**3 - 3*g**2 + 4*g - 1. Let l be o(m). Suppose -l*r + 1 = 3*x + 13, -4*r - 16 = 2*x. Solve -3*k + 0*k + 3 = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110323 (base 4) in base 14?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/42 and 93\/1190.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 397038 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 w(h) = -h**3 + 5*h**2 + 17*h + 37. Calculate the remainder when w(5) is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 + 3*h + 12*h**2 - h - 2*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519 times 0.2?\nAnswer: -303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120, 62, 4, -54, -112?\n\"Answer: -58*r + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17)**(-3\/32) assuming m is positive.\nAnswer: m**(-51\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/39)\/((-6783)\/4199)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 52*t. What is l(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 - 6*n + 7. Let i be ((-10)\/4)\/(5\/(-12)). Let c(x) = i*x**2 - x**2 + 14*x**2 - 17*x + 20 + x**2. Give 6*c(r) - 17*f(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*r + 3*x, -30 + 10 = -4*r + 4*x. Suppose r = o + 13 - 167. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 27?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -5, -1\/14, 0.3, 3, 0.047?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 + s**2\/2 + 46*s. Let i(u) = -10*u**2 + 3. Let l(h) = i(h) - 3*k(h). Let q(c) = -7*c**2. Calculate q(l(f)).\nAnswer: -343*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -7. Calculate the remainder when -6*m*(-1)\/(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 36 = -14. Suppose f*w = 6*w + 7. Which is the nearest to 0? (a) w (b) 1.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-24)*40\/6. Let a = -9 + 49. Suppose -7*i - a = -h*i. Solve 0 = -i*l + 2*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 10. Let v = 28 - 31. Is v at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*i = -840*i - 6 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52691 and 8.\nAnswer: -52683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + j**2 + 2*j - 4. Is 18 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - (4 - 1 - 1). Let j = k + -7. Let i(x) = -x**2 + 6*x - 1. Let p be i(6). Put p, j, -4 in ascending order.\nAnswer: -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 62 (b) -342 (c) 5\/7 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -38887\/427 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 671 = 75. Suppose -10*h = -j + 39. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 6*o + 5*o + 2*o. Let x(d) be the first derivative of -d**4\/4 + 2*d**3\/3 - 3*d**2\/2 + 14. Give 3*c(h) + x(h).\nAnswer: -h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -2\/387, -2, 0, -0.3 in decreasing order.\nAnswer: 202, 0, -2\/387, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 + 4*p + 8. Determine h(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 455399 = 5*h - 1803334, -4*m = h - 269565. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 31. Let p = -20354 + 20356. Let y be (6\/(-16))\/((-3)\/(-10)). Sort q, p, y.\nAnswer: q, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -7, -81\/8, 0.5, -2?\nAnswer: -81\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -26. Solve a = 5*l - 3*a - 4, 2*a = -j*l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 120. Suppose 5*p = 2*f - 20, 2*f - 2*p = p + u. Suppose s = 5*x - 46, 3*x - 16 = 4*s + f. Calculate the remainder when 25 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2329 and 9179?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/140 and -10\/11.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2524494 - 1149892.2524494. Let o = 1149931.999168 + r. Let k = o - 40. Round k to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3, -5*b = x - 5 - 3. Let k be (-369)\/123*(1 - 2). Solve k*o - 3*n - 13 = 2*n, -3 = -3*o + x*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13))**15 assuming t is positive.\nAnswer: t**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 2.\nAnswer: 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 < 133600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:44 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2536 and 1668054?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*d - b**3*q - 38*b**3 - 5*b**2*d*q - d*q - 2*q with respect to d.\nAnswer: -b**3 - 5*b**2*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277748 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - 1) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 11:25 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*362.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.59 + -25.59. Let v = -4.5 + -0.5. What is the closest to -1\/2 in k, -3, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1355 (b) -2 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36401 + -36398. Let v(i) be the first derivative of 2*i**3\/3 + 2*i**2 - 3*i + 2. Let u(r) = -6*r**2 - 11*r + 8. What is c*u(p) + 8*v(p)?\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - 2*f**2 - 4*f - 47. List the prime factors of n(7).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/6 - 2\/(-4). What is the derivative of -5 + 3*b - 5*b + k + 3 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.2 (c) 0 (d) -2 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.05 (c) 0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 3*k**6\/20 - k**5\/30 + 11*k**4\/24 - 13*k**3\/3 - 11*k**2. Let y(t) be the first derivative of m(t). Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 260401\/37 + -21112\/3. Calculate the common denominator of d and -55\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*b + 8*b**2 + 2*b**2 - 2405 - 5465 + 76*b**3 - 75*b**3 wrt b.\nAnswer: 3*b**2 + 20*b + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -33*y + 30*y - l, -23 = -5*y - 2*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d314f5 (base 16) to base 5.\nAnswer: 12020132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3622\/10 - 6\/30. Suppose 4*u + 3*s = -0*u + 367, -4*u + 2*s = -k. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/3 + 8*n**4\/3 - 19*n**3 + 100*n**2\/3 - 52*n\/3 = 0.\nAnswer: -13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.63431844 rounded to one decimal place?\nAnswer: -87.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.716875 litres in millilitres?\nAnswer: 9716.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27695 - 27695. Solve 2*m - 2*m + 13*m = v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 10956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2912.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15185294 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 3. Let n = 6 + -3. Let h(w) = -4*w + 3. Let l(m) = n*v(m) - 2*h(m). What is the first derivative of l(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*k = -8, -4*q + 2*k + 8 = -0*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2))*-5 - (sqrt(200) + 0)) + sqrt(24)\/(sqrt(1452)*-2).\nAnswer: -331*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-615)\/3)*2*-1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200104139 to the nearest integer?\nAnswer: 14146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 17*w**2 + 4*w + 7. Let v be q(-17). Let j = -59 - v. Find t, given that 5*t + t**j - 13*t + 7 - t + t = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4170 and -29\/1668?\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517460776*o**5 - 3810996*o - 93?\nAnswer: 10349215520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/212 - (-7692380)\/1060 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 302038859, 0.1, -0.1 in decreasing order.\nAnswer: 302038859, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6596*c**3\/3 - 1679784*c**2 + 3366320*c + 12256\/3 = 0.\nAnswer: -766, -2\/1649, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 6*l + 29. What is k(-10)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/45*-18 - (-21)\/(-45). Let q(h) = h**2 + 6*h - 7. Let o be q(-7). What is the biggest value in z, -3\/14, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*u + 124*u = -156. Suppose 3*h - 137 = -u. Is 37 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/3 - (21\/9 + -3). Let s = r + 503. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 489 + -202. Let x = o - 286. Solve x = -2*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/30569125 or -1?\nAnswer: -2\/30569125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 104. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*d - 12 - 4, 0 = 4*i + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 928321.8kg?\nAnswer: 928.3218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/24)\/u)\/u*u*u**36\/u*u**(-2\/11)*(u**(9\/2)\/u)\/u assuming u is positive.\nAnswer: u**(9599\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 31. What is the remainder when 51 is divided by c(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003333059 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-274)\/12*(-2 - 7\/(-2)). Let x = -669\/20 - m. Which is the second biggest value? (a) 2\/9 (b) -1 (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 96*w**2 - 4*w + 144. Let o(n) = -32*n**2 + n - 48. Suppose 11*q + 34 = 12. Let j(x) = q*t(x) - 7*o(x). Find the first derivative of j(d) wrt d.\nAnswer: 64*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18881, -19393, -20781, -23483, -27937?\n\"Answer: -73*p**3 - p - 18807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161.6 - -316.8. Let i = s + -155. What is the nearest to -0.1 in i, 4\/5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + 11*k + 8. Is v(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((12\/(-2))\/(-36) - 182\/39)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398 and 4577?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-1223796)\/57) + 30\/(-285) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Let m(y) = 7*y - 27. Let i = 8 + 0. Let k be m(i). Sort u, k, 0 in increasing order.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -1\/3, 1177, 1 in decreasing order.\nAnswer: 1177, 1, -3\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 187\/9 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82554847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 12. What is the second derivative of -47*r**5 + 40*r**5 - r**n - 6*r + r**3 wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 51925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191919050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and -6?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46048153 divided by 46048153.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231203203223 (base 4) in base 15?\nAnswer: 10ad618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2. Let n(o) be the second derivative of o**3\/6 + 61*o**2\/2 - 877*o. Determine n(s(b)).\nAnswer: -8*b**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (8 + 21 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210895658.\nAnswer: 2, 757, 139297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 82*k**2 + 84*k.\nAnswer: -2*k*(k - 1)*(k + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11 = b, 0 = -2*b + b + 5*g + 25. Let l = -9 + b. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -1\/4747635?\nAnswer: -1\/4747635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**4\/12 + o**3 - 2*o**2 + 3*o. Let f be (-1)\/(-2)*(-2 - 14). What are the prime factors of k(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = -5*i - 3*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -5 (c) -29\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**4\/12 + r**3\/6 - 3*r**2. Let v be m(-1). What is the third derivative of -7*c**4 - c**v + 6*c**2 + c**3 - 4*c**2 wrt c?\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let h be 159\/(-23)*(-1)\/42. Let r = h - 1\/46. Which is the closest to k? (a) 0 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgsgssggggsrs. What is prob of sequence sr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 29*i = -7276. What is the greatest common factor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108))\/((sqrt(9) - sqrt(144))*3))**2.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 11) + -131 + 142 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(4*(-3 + 1*sqrt(1100)) - (2*sqrt(1100)*6 + 0 + sqrt(1100) + 1)) + 0))**2.\nAnswer: 149760*sqrt(11) + 5713216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -47*d. Let o(n) = -90*n**2 + 396*n**2 - 95*n**2 - 102*n**2 - 97*n**2. Calculate x(o(t)).\nAnswer: -564*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.05, 79, -5, 3, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.82 rounded to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hssh when four letters picked without replacement from ssshsssshh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g = -245, -g = -2*x - 0*x + 97. Suppose k - 470 = -2*s, 24*k + 6 = 23*k. What is the remainder when s is divided by x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - 354412511?\nAnswer: -354412550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 50 = -33*q - 4*r + r, -2*q - 274 = 17*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 15*s - 9. Calculate the least common multiple of 10 and k(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 108*h + 711. Let w be p(-7). Find d such that 36\/5*d**3 + 44\/5*d**2 + 6\/5 + 26\/5*d + 14\/5*d**w + 2\/5*d**5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**4\/4 - 2*g**3 + 11*g**2\/2 - 5*g + 5. Let u be w(7). Let z(i) = -122*i**3 - 4*i + 2 + 2*i + u*i**3 - 5*i**2. What is z(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -31. Suppose -6 = -3*j - 0. Let b(v) = j*v + 3 - 2*v - 1 - v. Calculate b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 233343 and 35355?\nAnswer: 1166715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Suppose 2*y + 5*i + 236 = 0, -452 = 4*y + 2*i + 3*i. Let x = 107 + y. What is the smallest value in 1, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967519159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 263683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 94*p. Let z(y) = 200*y**2. Determine i(z(b)).\nAnswer: -40000*b**4 - 18800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95794096, -95794102, -95794108, -95794114?\n\"Answer: -6*d - 95794090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 + 17\/(34\/36) is divided by 166?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 52. Solve -4*p - q = -35 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3574 divided by -125\nAnswer: -3574\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -9048194 in decreasing order.\nAnswer: 8, 5, -9048194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -158 times 0.5756\nAnswer: -90.9448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 - (4 - 0 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148672.\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1650 and 9195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 405535.46*4\nAnswer: 1622141.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4 = 919*i - 920*i, -w = -2*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034 times 4?\nAnswer: 20136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 4974 - x**2 - 4974 + (0*x**2 - 2*x**2 + 3*x**2)*(1 - 5 + 2) - x**2 + 12*x - 12*x.\nAnswer: -4*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -1)\/(3\/(-9)). Let p be o\/((-608)\/202 - -3). Let l = p + -538. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 1, s: 2, b: 10}. Give prob of sequence dd.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olcocooclccoccccoc. What is prob of picking 1 o and 3 c?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 14. Let j(b) be the first derivative of b**4\/4 + b**3\/3 + b**2 - 2*b - 1. Let v be j(2). Let o be p(v). Solve 4*f + f = o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 3, -5, 2\/9, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.76, 3, -0.2, -10, -2\/19, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2737*a**5\/5 + 2*a**3 - 47*a**2 + 53. Find the third derivative of v(m) wrt m.\nAnswer: -65688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rure. What is prob of picking 3 r and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 573420.\nAnswer: -286710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1631)*((-97356)\/(-285))\/(-122)?\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 107 = -40 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 5, q: 9}. What is prob of picking 2 v and 2 t?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3941 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12924*w**2 - 36*w**3 + 12924*w**2 - w - 64*w**3 + 4 as a + i*w + m*w**3 + c*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/5, -2, 250?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 116837*f**2. Let s(l) = -2*l**2. What is s(p(t))?\nAnswer: -27301769138*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -7*k + 11*k. Calculate the greatest common divisor of 217 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 406*w + 2332. What is i(-9)?\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, 33 in descending order.\nAnswer: 33, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -85\/227412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.369? (a) 55 (b) -0.1 (c) -9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*f = -220, k - 3*k = -f + 148. Let z = -78 - k. Let q = 11 + z. Calculate the highest common divisor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 3*n + 3*n)*(-4*n**2 - 2*n**2 + 4*n**2) + 3*n**4 - n**4 - 3*n**4 + (-6 + 7 + 3)*(-5 - 3*n + 5)*(4*n**3 - 4*n**2 + 4*n**2).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 16. Let a be w(14). Suppose 0 = -3*b, -6*b + 2*b = a*q + 24. Let c = 29 + q. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -38*x + 3373. Determine l(89).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 4*c**2 - 6*c**2 + (-3*c**2 + 3*c**2 + c**2)*(-1 - 2 + 1) + (-5 - 2*c + 5)*(4*c + 3 - 3) to t*c**2 + r + h*c and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-1)\/1). Let o = 8 - 8. Is o equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 60 + 25)*(-x + 2*x - 2 - 19*x**2 + 7*x**2)*(4*x - x - 4*x).\nAnswer: 972*x**3 - 81*x**2 + 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1446.\nAnswer: 1\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -1644?\nAnswer: -9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 4) + (-14)\/(-2). Let n be 1\/(-2) - 114\/(-12). Let w(z) = -x + 5*z + n + 5. Let j(v) = v + 2. Calculate -11*j(p) + 2*w(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1096172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*w)*(18*w + 7*w + 5*w)*(1 + 1 - 3) to h*w**2 + z*w + b and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 547557252?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129502 - 903288. Let v = l - -773783.790214. Let n = -2.21 - v. What is n rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:08 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.83.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*y - 5*y - 19*y)*(-2*y**2 + 1 - 1) to the form h*y + c + m*y**3 + q*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(9\/(-12)*2). Let i = -48.8 + 132. Let r = i + -82. What is the second smallest value in -4, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 - 2\/19*a**2 + 8\/19*a = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l - 10 = 3*q, -q - 5*l = 20. Suppose -q*j + 3*z + 277 = 6*z, -5*j + 249 = -4*z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*x + 143. Suppose 0 = -10*w + 17 + x. Solve 9 + w = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/372 and -11\/5828.\nAnswer: 17484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 3 - 3)*(54*v + 13*v - 13*v + 7*v).\nAnswer: 122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2351 divided by 88448\nAnswer: 2351\/88448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60168)\/25070 + (-1)\/(10\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6)*(2\/(-2))\/12. Sort 2\/3, y, -16.\nAnswer: -16, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffqfqqffffffffff?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 4*a**3 - 14*a**2 - 40*a - 24.\nAnswer: 2*(a - 3)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.6901963 rounded to one dp?\nAnswer: 136.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 14) to base 3\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-476)\/(-374))\/(6\/(-33)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -151*r**2 - 4. Let x(j) = -2*j. What is x(q(b))?\nAnswer: 302*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1444.7907 + 1444.1. What is i rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 4*m + 15. Let f be z(-6). Let k be 117\/27*f\/1. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -7 - 2 - -16 - -29?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(225)\/sqrt(5))\/((sqrt(9) - (sqrt(9) + sqrt(27)\/sqrt(3)))*4))**2*2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 989*u**2 - 4 + 5.\nAnswer: 989*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -1\/2, -29, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2452 and -0.1134.\nAnswer: 278.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 15*a - 129*a = 1240 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-4))\/(75\/315475). Which is smaller: -3156 or y?\nAnswer: -3156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1*(1 + -2). Let i(h) = 2*h**2 - 5*h - 6. Let s be i(q). Let p = 6 + -2. Which is the closest to -0.1? (a) 0 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 + 13*i - 6. Let s be d(5). Let b = 100 + s. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107133758 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - ((6 - -5) + -3 - 12 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85300.85 millennia?\nAnswer: 1023610200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*d - 10 = 0, -3*t + 2 = -2*d + 5. Suppose r - 16 - t = 0. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53\/6 + -9. Let s be 3\/(3\/2) - -3. Which is the nearest to -2\/5? (a) m (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:58 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**2 + 8*f**2 - 2*f**3 + 3*f**2 + 6*f**4 to i*f**2 + k*f**3 + j + l*f**4 + n*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29014, -115917, -260706, -463381?\n\"Answer: -28943*r**2 - 74*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-835*v**3 + 704*v**3 + 514*v**3)*(0*v + 0*v + 2*v**2)*(2 + 2 - 6)*(-2 - 2 + 1).\nAnswer: 4596*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - 6*v + 1. What is the units digit of r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*n + 440, 4*n = 2*m - 7*m + 436. Solve -115*r + 1 = -n*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsdddssd. What is prob of sequence dss?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38644074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -218 in -0.1, 0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 7 + 688\/84 + 2\/14\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3076 + 3075.538. What is a rounded to 2 decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 8*y - 8. Let x be n(9). Let o be 4 + (0 + -3)*x. Let j = 8 - 8. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*v - 98 = -2*m, -2*m + 3*v + 77 = 0. Let r = -948 + 991. Do m and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47900*j + 5164*j + 5 - 6188*j + 136811*j.\nAnswer: 183687*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/560*2\/5\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jee when three letters picked without replacement from jjjjeejjjj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*z = 330 - 95, 2*z + 58 = m. Let n = -6 + 30. Calculate the greatest common factor of n and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 51*b - 3. Suppose -9*f - 24 = -5*f. Let d be 2*1 - (-1 + (-18)\/f). Solve d = -b*w + 5*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -741472 and -2965885\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzggzgyng. Give prob of sequence gzyg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3024, 6049, 9066, 12075?\nAnswer: 15076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - -650?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s**2 - 13*s - 1. Let q be c(-4). Let z(f) = -f**2 - 7*f - 8. Let a be z(-3). Solve 5*y + 5 = q*j, -j + 6 = -a*y + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 5, -167\/63, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/21 (b) -0.07 (c) 3\/7 (d) -1.6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 262*b**3 + 7*b**2 + 28*b - 10. Let s(f) = -87*f**3 - 2*f**2 - 8*f + 3. Determine -21*s(w) - 6*v(w).\nAnswer: 255*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 6*k + 14. Calculate the remainder when 64 is divided by r(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 3*i + 2. Let o be r(3). Let c = 6 + o. Calculate the lowest common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/38830228 and -53\/20?\nAnswer: 194151140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s = -353728, 13*u = 18*u - 4*s - 442169. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + sqrt(1008) + 1 + sqrt(7) - sqrt(7))) + sqrt(7) + (sqrt(35)*-1)\/sqrt(5))**2 + 2 + -5.\nAnswer: 24*sqrt(7) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7536*0.025.\nAnswer: -188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/107898 and 113\/138726.\nAnswer: 971082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/4 - 2*w**3\/3 - 5*w**2\/2 + 6*w - 4. Let a be d(4). Suppose 26 = 4*l - a. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -11, -1\/9, 3, 25.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 30*p - 3*p + 9 + 3*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-48*(-28)\/(-294))\/(8*391\/644)\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1*-4*2\/860.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 10344?\nAnswer: 51720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 1) + (6 - 3). Let s be -3 + (46\/(-11) - 10\/(-55)). Let n = a + s. Is n at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2. Let y(g) = -5*g**2. Calculate 7*m(i) - 4*y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 12 + 6 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80117 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-60)\/80).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58424.\nAnswer: 2, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9317?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, y: 1}. What is prob of sequence sys?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1287408 and 65718?\nAnswer: 1221690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + 2*b)*(109 + 123 + 36).\nAnswer: -268*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.48, -24, -5, -0.5, 3.\nAnswer: -24, -5, -0.5, 2.48, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46, 190, 598, 1402, 2734, 4726, 7510, 11218?\n\"Answer: 22*k**3 - 10*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 18. Let s(k) = k**3 - 8*k**2 - 11*k + 10. Let l be s(h). Is 84\/l*(-12)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -501, -503, -505, -507?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/3*13\/((-520)\/48). Differentiate -69*t**2 - 81 + 20*t**2 - 46*t**x - 20*t**2 with respect to t.\nAnswer: -230*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:37 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2497 + 2505. Solve -3*t + 7 = 2*g, -3*g = 2*t - s*g - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 196, 251, 342, 481, 680, 951, 1306?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -282 + 237 + -3 + 25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26838 by -6.\nAnswer: -4473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 540153*c. Let s(g) = -g**2. Give s(v(y)).\nAnswer: -291765263409*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77916172*t**2 + 16203555*t - 5 wrt t?\nAnswer: 155832344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 32000006 = 2*b, 5*b + 2*x - 3*x = -79999998. What is b rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2663 - 2668. Put 3, -3, 55, h in descending order.\nAnswer: 55, 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110806 at least as big as 110806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 1078?\nAnswer: 33418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 101.38. Round f to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36197 < 36183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-847)\/(-726))\/(4\/8).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**3 + d**2 - 2*d + 1. Let r be s(1). Suppose 0 = v + z - 3, 5*z = -3*v + 4*v + r. Is -0.1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - -44 - (-3 - (3 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(8\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 9) to base 6.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 - 3*r**2\/2 - r. Let n be p(-8). Factor 0*t**3 - 2*t**3 + 3*t**5 - t**n.\nAnswer: 2*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*p + 18. Let h be (35\/p)\/((-1)\/(-22)). Let c = -38 + h. Calculate the remainder when 32 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 - 2*g**3 + 0*g**2 + 4*g**2 + 132 - 3*g**4 - g - 167 - 30*g**4 to d*g**4 + c*g + f*g**2 + o*g**3 + n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 85. What is the least common multiple of q(-29) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + c + 851 = 0, 5*c + 550 = 2*i. Is 285 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5093 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/38 + (-3)\/2. Let n = 585 + -525.1. Let o = 60 - n. Is w bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 20711034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641778 is divided by 12344?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24557554 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 22*j**2 + 3*j - 32. Give i(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from tnfnnntt.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 331645722 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (32 - 5) + 0 + 4 + 93 + -12?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Let t(j) = 5*j**2 + j. What are the prime factors of t(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1316*f**4 - 1845*f**2 wrt f.\nAnswer: -31584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26640 is divided by 5263?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12008*o**4 - 20139 with respect to o.\nAnswer: 48032*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 15 = 3. Let s be -2 + 1 + q + -11. Let z(x) = x**3 + 15*x**2 + 20*x - 3. Let j be z(s). Round j to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -118.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -322916196 divided by 80729049?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/33)*f*f*(f\/f**(3\/2))\/f*f)\/(f**2)**(-2\/5))**6 assuming f is positive.\nAnswer: f**(1069\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (28 - 4) + 158 + -171?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i**2\/7 + 9460798*i\/7 - 2226072\/7.\nAnswer: 2*(i + 278259)*(17*i - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -294 + 293. Let x(d) = -d**3 + 9*d**2 - 9*d + 9. Let v be x(8). What is the nearest to f in 2, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02699 and -0.5.\nAnswer: -0.013495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i - 3. Let n be s(2). Let o be -2 - -1 - 15\/n. What is the second biggest value in -1, o, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72941.3 - -72995.3039. Let h = 48.3 - -5.7. Let d = w - h. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430285 divided by 235.\nAnswer: -1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 14*x**2 + x**3 + 0*x**3 - 3*x**3 + 12*x + 16. Let q be u(-12). Find the second derivative of -n**2 + 160 - q + 6*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 66*j**2 + 12*j + 378. Give i(-22).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1004918940.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 0*n + 32 + n - 20 + 0*n - n**3. Suppose v = -4*v. Determine g(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.507 to two decimal places.\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 12*z + 2. Let a be n(-12). Suppose -6*x + a*x + b + 9 = 0, 5*x + 2*b - 21 = 0. Suppose -x = v - 59. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12565 and -2.\nAnswer: 25130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 1:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p + 2*c = 7, 10 = 2*p + 2*c. Solve -p*d + 6 = -4*w + 26, w - 5 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 - -283. What is the second derivative of 15*w + 14*w - 212*w**5 - x - w - 6*w + 4*w wrt w?\nAnswer: -4240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + u. Let y(i) = 5*i**2 + 2*i. Determine -7*j(b) + 3*y(b).\nAnswer: -6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.786 or 41118?\nAnswer: -1.786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/16 + 50\/(-40). Which is bigger: 169\/8 or o?\nAnswer: 169\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1003111031 (base 4) to base 12\nAnswer: -113725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 7 (b) -0.169 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 9}. What is prob of picking 2 q?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 32*h - 247. Is f(30) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 = 4*g, -5*d + 71 = 5*g + 81 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 32 = -2*v, 0 = -2*v - 74669*l + 74693*l - 172 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*0)\/(12\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/5 + 18*y**2\/5 + 34*y + 30 = 0 for y.\nAnswer: -5, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -7, -82, -251, -550, -1015?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 4*q**2 - 6. Let n be (-6)\/(-3) - (-1 - -2). Let u(d) = 3 + 9 - 14 + d**2 + 3. Calculate n*i(y) + 5*u(y).\nAnswer: -2*y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57 (b) 0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 6\/5*f**5 + 0 + 0*f**2 - 1\/3*f**3 + 32*f + 1\/6*f**4. What is the third derivative of k(c) wrt c?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2. Let f(w) = 135569*w. Give r(f(b)).\nAnswer: 110273722566*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36860 + 3.\nAnswer: 36863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = -r. Let s = r + 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)*1)\/sqrt(9) + sqrt(12) + sqrt(108)*1)\/(6*-1*sqrt(6)*2) + 4)**2.\nAnswer: -10*sqrt(2)\/3 + 1177\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 182194067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t + 5*k, -2*t + 2*k - 41 = -67. Calculate the greatest common factor of t and 1310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a - 851820 = -50*a + 45*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 5*f**2. Let w be o(-5). Suppose w = 4*m + 2*s - 2, 12 = 2*m - 5*s - 7. Suppose m*y - 9 + 3 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -15*r - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 4:53 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 21. Suppose 0 = 19*x - o*x - 2970. Let f = -289 + x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102819135763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24500*f**2*v**3 + 4*f**2*v**2*y + 128152*f**2*v**2 - 72*f*v**3*y - y wrt v.\nAnswer: -147000*f**2 - 432*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 83. Suppose -5*i + z = 3*c - 355, -5*c = -3*i + 212. Let q = 36 - -2. What is the remainder when i is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-11 - ((-1 - -9) + -5)) + -43)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 166 + -136?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2032166 - 868345. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 7*u**2 + 3*u**2 + 31*u**2.\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 4*q + 10. Let y(f) = 16*f**2 + 15*f**2 - 4 + 25 - 9*f - 20*f**2. Let m(u) = -13*k(u) + 6*y(u). Give m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -18, -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181461604?\nAnswer: 2, 17, 2668553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -0*b. Let t(i) = i**2 + i - 1. Let x be t(1). Let v = x + b. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -15 + -15 + (-16 + 33 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-5 - 1 + 0)*(4 - 4 - 1)*(52 + 27 - 21)*(0*o + 7*o + 13*o).\nAnswer: -13920*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(-2*u**2 - 2*u**2 + 6*u**2) + 7*u**2 - 7*u**2 + 2*u**3 - 2*u**3 + 21*u**3 + 32*u**3 + (u**2 + 2*u**2 - 5*u**2)*(-u + 4*u - 2*u).\nAnswer: 53*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 388*w**2 + 8*w + 8. Let d be s(-1). Suppose 6*i - 4*i - d = 0. What are the prime factors of i?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 31 - 14 = 0. Let x = 11 - n. Solve 4*l - 2 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 261 = -22*q + 101*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -487.0001195 - -487. What is r rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1186125)\/20)\/(-3) + 60\/240?\nAnswer: 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-4 + 4 - a**2) + 26*a + 9*a**2 - 26*a - 1 + 16*a**2 - 16*a**2 - 2*a**2)*(-5*a - 13*a**3 - 6*a + 11*a).\nAnswer: -104*a**5 + 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 3\/2, 1\/3, 6, -1\/4, -318, -43?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/5*(-30)\/9. Suppose 0 = -4*h - 8, -5*l = -l + 3*h - i. Solve -n + l*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 6*v + 4. Let t = 23 - 28. Does 6 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-105))\/((-84)\/(-30)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t - 132 = 0. Solve 3*q - 4*i = 4*q + 22, t = -4*q - 5*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -97. What is the remainder when f is divided by ((-144)\/30)\/1*-5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370767427*m**3 - 563301008*m wrt m?\nAnswer: -2224604562*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 29*c**3 - 10*c**3.\nAnswer: -43*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*v - 16 = -151*v + 5*g - 3*g, 62 = -v + 17*g for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Let m be r(-3). Let g be 4\/14 + 264\/(-42). Let q(i) = i**3 + 7*i**2 + 5*i. Let t be q(g). Solve 3*z - 3 - t = -m*w, 5*w = -2*z + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 527 + -3ca?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 306974 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -624945417508 - 0.4?\nAnswer: -624945417508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -45*l**2 + 3*l - 17 - 39*l**2 + 83*l**2. Let f be t(8). Let v = f - -136. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 25, 4*r + 8 - 20 = 4*l. Solve l + 2 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.000029 + -15. Round h to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/3 - -18. Let j = -2\/491 - 964\/4419. Let u = 41\/100 - -21\/25. Which is the second smallest value? (a) j (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - g + g)*(2*g**3 - 3*g**3 + 3*g**3)*(-235 - 16 - 1179) to the form y + w*g**2 + b*g**4 + x*g**3 + i*g and give b.\nAnswer: 2860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/2 - c**3\/3 - 3*c**2\/2 + 3*c + 1938. Let r(u) = -u**3 + u - 1. What is -3*r(v) - t(v)?\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:51 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 4}. What is prob of sequence ccoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93540, 375585, 846138, 1505199, 2352768, 3388845?\n\"Answer: 94254*s**2 - 717*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/3)\/2 - -2. Suppose -11 = 2*a + q. Let t(y) = -y**3 - 5*y**2 + 5*y - 6. Let n be t(a). What is the closest to 2 in -2, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (234 - 1)\/((-19)\/(494\/(-117)) - 4) is divided by 150.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {j: 2, p: 3, z: 8, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2299)*2)**2 + (-3*(sqrt(2299) + 3*sqrt(2299)))**2.\nAnswer: 377036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 37*q**2 - q + 2*q**3 - 2 + 39*q**2 as g*q**2 + n + r*q**3 + i*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 - 100. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*m - 1, 5*c + 5 = 8*m - 13*m. Let a be (-1)\/(12\/42)*44\/c. What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*p + 15, 63*d - 58*d = 2*p - 10. Let c = -4 - -4.1. What is the nearest to 0.1 in -145, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*g - 2382*g = 35070 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*g - 51*g + 25. Factor g*c**3 - 4*c**2 + 49*c**2 - 9*c**2 - 21*c**2.\nAnswer: 5*c**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5148355551855 + 59\nAnswer: 5148355551914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*((4*sqrt(704) + -1 - (-5 + -2*sqrt(704) + sqrt(704))) + 2))**2.\nAnswer: 12000*sqrt(11) + 440900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - a = 1, 5*a + 6 = 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662605 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 2*p + 6608 - 13223 + 6617 + 188*p**3 to the form s + y*p + q*p**2 + x*p**3 and give x.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7515 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*m + 11, m - 70 = 5*u + 73 - 152 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-6*sqrt(1088)*-2)**2 + 2 + 1 + sqrt(1088))*3*6.\nAnswer: -14101020 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*z - 56*z + 4*z)*(2*z**2 - 2*z + 2*z) + (-2*z**2 + z - z)*(-4*z - 3*z + 5*z).\nAnswer: -170*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from ncccccccnccccpcpcp.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 174, -1604, -5246, -10752?\n\"Answer: -932*c**2 + 1018*c + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13754 at least as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3656659117 to the nearest integer?\nAnswer: 60470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 631 + -577. What is the smallest common multiple of o and 52?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(144) - sqrt(9)) + sqrt(17) - (0 + 1*sqrt(17)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5 + 5*w**2 + w + 6 - 7*w**2. Let g(p) = -54*p**2 + 2*p - 52. Let s(c) = -2*d(c) + g(c). Find the first derivative of s(t) wrt t.\nAnswer: -100*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from moqmqqmmqmqqqm?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6670087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**2 - 50*w + 54. Let b be (-279)\/248*(-32)\/6. Let s(v) = -30*v**2 + 99*v - 108. Let t(x) = b*s(x) + 13*j(x). Find k such that t(k) = 0.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/2)\/(9900\/1350)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7682010\/(-877912))\/5 + (14\/(-8))\/(-1). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s + 3. What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6117518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n + 2*p = 890, 3*p - 719 = -4*n. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 34*y**2 - 71*y + 33. Let j be t(-36). What is the second biggest value in -4, j, -375, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -8. Suppose -3*y + 0 = -z*o - 26, 0 = -3*o - 2*y - 27. Let i = o - -12. Solve -37 = -4*b - i*a, 0 = 3*a - 14 - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218985441 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.8 + -81.8. Sort -0.3, q, -92, -5 in descending order.\nAnswer: q, -0.3, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 1. Let c(n) = -4 + 2*n**2 - 4*n**2 + n - n**2. Suppose -4*p = 29 - 33. Give p*c(q) + 4*a(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:37 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + 2*d**2)*(24*d - 10*d - 15*d + (-4 + 1 + 6)*(d + d + 0*d)).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*b + 5*m - 174, -4*b - 5*m + 724 - 433 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1394, -2, -3, -56, -0.1?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -211 (b) 3\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)**(-15\/7)\/(a**(-3\/11)\/(a**(-4\/3)*a)))**29 assuming a is positive.\nAnswer: a**(-14761\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 660327?\nAnswer: 660327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 39. Let c(i) = -i**3 + 4*i**2 - 70*i + 270. Let v be c(4). Calculate r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a0e (base 15) in base 6?\nAnswer: -42035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112541, 450176, 1012901, 1800716, 2813621, 4051616, 5514701?\nAnswer: 7202876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -276452 and 2?\nAnswer: 276454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(0*r - 5*r + 4*r) - 6*r + 3*r + r + (1 - 5 + 3)*(0*r + 2*r - r) + (2*r + r - r)*(-2 + 2 + 1).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584)*2 + 0 - (-3*sqrt(1584)*-2 - sqrt(1584) - sqrt(1584))) + 4*(-4 + sqrt(704) + -1))**2.\nAnswer: -1760*sqrt(11) + 21696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61055\/7 != 8723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/5, -132417 in increasing order.\nAnswer: -132417, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*l = 140*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 9*v + 18. Let c be d(2). Solve 0 = -2*b - 5*g - c, 18 = 5*b - b - 3*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 21*o - 94. Let r(l) = 2*l**2 + 11*l - 47. Let j(c) = 5*r(c) - 3*w(c). Calculate the remainder when 92 is divided by j(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/7, 5, -31.54?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -15, -1\/11, 4, 1, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**8\/56 + 169*w**7\/105 + w**5\/60 - 2839*w**4\/12 + 13941*w**2. What is the second derivative of u(l) wrt l?\nAnswer: 120*l**3 + 4056*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064542 (base 11) in base 3?\nAnswer: -10111202211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 7. Let z(f) = f + 1. Let m be z(8). Let l be r(m). Solve -3*q + 5*k = -13, -3*q + 2*k + 2*k = -l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 + 1382 = 16*u. Let r = -67 + u. Let l = -28 + 39. Solve -5*z - k - 4*k = -15, -r*k = -3*z - l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2 = -2*i, 5 = -5*j + 2*i + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 8*m + 6*m as u + c*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 110*v\/13 + 96.\nAnswer: 2*(v - 39)*(v - 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-20)\/(-9)*(-24)\/(-20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467894, 467938, 467982, 468026, 468070, 468114?\nAnswer: 468158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 690*t - 12760.\nAnswer: -5*(t - 116)*(t - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 22 = -3*m + 7*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 7*y - 8. Let m be c(3). Calculate the greatest common divisor of 30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38448741 - 2*p**2 + 10*p + 38448741.\nAnswer: -2*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27584\/8620*10\/(-6)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -51*l + 496. Suppose -a - 4 = -18. Calculate the smallest common multiple of l and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - c**2 - c**2 - c**2 - c + c + 3 - 3 - 2*c**2 + (-1 + 2*c + 1)*(1 - 2*c - 1) - 5*c**2 + 2*c**2 + 4*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/((-4)\/(-48)). Suppose -h + 34 = 2*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5\/2 - 39*t**4\/2 - 81*t**3\/2 + 1031*t**2\/2 + 1077*t + 540 = 0.\nAnswer: -36, -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3505604 to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15339 - -736231\/48. What is the common denominator of i and 36\/10 + -2 + 2?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = o - 4, 2*o - 1648*u + 8 = -1650*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 11:34 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.56 + -644.56. Let v = 636.96 + f. Let h be (2\/(-5))\/(35\/25). Which is the fourth smallest value? (a) v (b) -1\/4 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 + c**3 + 2*c**3 + (2*c**2 + c**2 - 4*c**2)*(-3*c + 3*c - c + (-4 + 0 + 3)*(3*c - 4*c - 3*c)).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/((11\/605)\/((-4)\/(-10))).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 571005, 571011, 571017, 571023?\n\"Answer: 6*p + 570999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -32*u**6\/3 + 2*u**5\/5 + 5*u**2\/2 - 7*u + 24. Find the second derivative of l(t) wrt t.\nAnswer: -1280*t**3 + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32057535 is divided by 10685842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.17 + 26.17. What is the closest to -2\/3 in -3, 3, -4, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 726, 2180, 4642, 8112, 12590, 18076?\n\"Answer: 504*d**2 - 58*d + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, q: 2, a: 2}. What is prob of sequence qya?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2330211 - -20?\nAnswer: 2330231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.193 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 26*f - 24. Suppose 92 = 21*u + 2*u. Is 16 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 18*q**2 - 19*q + 2. Let n be w(19). Solve -3*s + 13 = n*b, 0*b + 4*s - 23 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-51)\/(-85) + (-1)\/10)*216. Calculate the greatest common factor of 144 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r. Suppose 4*y - u - 5 = 0, -y + 5*u = -0*y + 13. Let d(i) = -6*i**y + 6*i**2 - 3*i**2 + i**2. Give q(d(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -535445, -535437, -535427, -535415, -535401, -535385, -535367?\n\"Answer: k**2 + 5*k - 535451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 3*g**5 + g**5 + (g**5 - 5*g**5 + 5*g**5)*(2 - 2 - 2) - 3*g**5 - 9*g**5 - 5*g**5.\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -69.19, -0.4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/4))\/(k\/(k\/k**(-2\/13))))\/((k*k\/k**1)\/k)**(-26\/5))\/((k**(2\/7))**(-1\/32))**(-31) assuming k is positive.\nAnswer: k**(1641\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4*m - 3*m)*(-3*m + 0*m + m)*(1 - 4 + 1) + (4*m + m - 4*m)*(2*m + 2 - 2).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21121 - -10?\nAnswer: -21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 4. Let b(g) = 4 - 3 + 3*g - 2*g. Let y = -60 + 61. Calculate y*o(p) + 3*b(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259535 is divided by 128973?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 + 2\/4 - -1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s - 666 = 3*g, 3*s - 1081 = 5*g. Let k be (-10)\/55 + g\/11. Let q = k - -38. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/31290 and 11\/5.\nAnswer: 31290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - -38*(-3)\/180. Let r = -2.5 - -2. Which is the nearest to -2? (a) p (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212639 is divided by 410?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 158. Suppose -5*j + a = -0*j. Suppose 1 = -w + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.1. Let f = p + -1. Let o = 0.2 - f. Does o = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*p. Suppose 27 = 3*d - p*r, -3*r - r = 20. Solve 0 = 2*w - 6*w + 5*y - 32, -d*w + 2*y - 20 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52572583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 105*n + 38. Give a(20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416745 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12. Which is the second biggest value? (a) -3 (b) 6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812689847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5*l + 3. Let y be q(-2). Let c be -4*(-3 - 20\/(-6))*y. Sort -2, c, -8 in ascending order.\nAnswer: -8, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*s + 22, -2*h + 3*s - 2 = -0. Let r(k) = -k**3 - 45*k**2 - 121*k + 210. Let u be r(-42). What is the second biggest value in h, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 5*n + 0*n)*((2*n + n**2 - 2*n)*(0*n - 3*n + 2*n) + (-3 - 4*n + 3)*(n**2 + 3*n - 3*n)) to h*n**2 + f*n**3 + l + q*n + r*n**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 15*n + 10. Let z be v(8). Let o = 21 - z. Solve 0*w + 3*w = 0, -o*q + 5*w + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 35*z - 24. Let p(o) = 326*o**2 - 12*o - 325*o**2 + 0 + 8. Let s(m) = -4*d(m) - 11*p(m). Determine s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27228 (base 11) to base 13.\nAnswer: 14901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -4*b - 3*b - 5 - 1 - 2*b**2 + b**2. What is the first derivative of r(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 + 218 = x. List the prime factors of x.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, 0.2, -774, -2, -0.23, -2\/11, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -441.661 to 0 decimal places.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(7))\/sqrt(4) - (sqrt(192) + -4).\nAnswer: -7*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10658694*a**2 + 4 - 14*a - 10658694*a**2 - 2*a**3.\nAnswer: -2*a**3 - 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 123. Is 11 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*v + 92*v + 138*v + 136*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-8)\/(-6))\/(30\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -647, -1.551 in descending order.\nAnswer: 1, -1.551, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 266. Let n be z(-30). Is -350 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 336, 767, 1552, 2685, 4160, 5971, 8112, 10577?\n\"Answer: -c**3 + 183*c**2 - 111*c + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54667\/6 + -9111. Let v be (-10)\/(-12) - (2 + -1). Let w = -2\/3 - v. What is the second biggest value in w, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (4 + 2 + (11 - 13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3a38?\nAnswer: 3a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9620 and 19906?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3 - 9, -6*p - 152 + 128 = -v + 5*p - 4*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 101*l - 98*l. Suppose -44*a - 245 = -l*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z - z = 10, -4 = 2*u - 4*z. Let h(y) = 9*y**2 + 2*y - 1. What is the units digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*h**3 + 458*h**2 - 16141*h + 141.\nAnswer: 702*h + 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*u + 220*u - 8*u - 3 + 55*u + 490*u to the form h*u + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (47 + -1)\/(-7 - 5 - -14). What is the highest common divisor of h and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 + 6*s + 4. Let x be h(8). Let q = 28 + x. Suppose n + 0*n - q = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 51867 and 0.3.\nAnswer: 51867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 4*m + 6. Let c be r(-6). Let k be c*(138\/(-72) - 2\/(-8)). Solve k*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 36 = -4*j - 16*t, 0 = 6*j + t - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13023 - -10?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(15\/10*4\/(-16)*4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165 + 165 - 11*n)*(-7 + 12 + 12)*(2*n + n - n) to the form a*n**2 + m*n + q and give a.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 799 - 798.97. Which is greater: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -134, -434, -1032, -2030, -3530, -5634?\nAnswer: -8444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6 = -14 - 47. Put 5, -4, 105, f in increasing order.\nAnswer: f, -4, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**2 + 15\/4*d**3 + 3\/4*d**4 - 63\/4*d - 27\/2.\nAnswer: 3*(d - 2)*(d + 1)*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -45*r**3 + 2*r**2 - 4*r. Calculate x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u - 3*u + 4*u + 4*u. Let z(n) = 7*n. What is z(r(w))?\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*-8*(20 - (-14574)\/(-728)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -219*a**4 - 5*a - 286. Let l(x) = 109*x**4 + 3*x + 143. Let k(d) = -3*h(d) - 5*l(d). What is the first derivative of k(y) wrt y?\nAnswer: 448*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*p = 2*g - 120, 2*p = -2. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let v(s) = -3*s - 2. Let q(f) = 5 + 19 - f**2 - 3*f - 22. Let z be q(-4). Calculate z*v(a) + 5*k(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2918628 divided by 9036\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1893626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - l - 5 = 0, 0 = -5*h + 3*h + 2*l + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5130.98268 + -5131. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5557178 by -1.\nAnswer: -5557178","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 + 85*u + 99. Give y(19).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5513*v + 40 = 5518*v. Solve -5*l - 4*w + v = -3*l, -4*l - 5*w = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2 + 2)*(408 + 7*s + 11*s - 406) to b + f*s**2 + h*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1477 and 6736597?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*p - 11 = -191*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 5*j - 1. Let f be z(3). Suppose 0*m - 2*m = -2*k + 2, 2*m + f = 0. Solve k = 2*l - 5 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -734*(-5)\/2*(-1)\/(-5). Solve -10*w + k = 397 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2 + 2*sqrt(3)) - (sqrt(3) + sqrt(3)*3*1))**2.\nAnswer: 20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 55*d - 24. Let m be x(-27). What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121819.1732921 + 2?\nAnswer: -121817.1732921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 300\/(-250)*(0 - 5\/2). Let j = 0.4 + -7.4. Let n = -0.3 - -0.1. Which is the biggest value? (a) x (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - -1a23?\nAnswer: 1a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 - 27 = -3*d, 0 = d - 2*w - 7. Suppose 0 = -0*n + 5*n + 2*o - d, -5*n = -o - 3. What is the units digit of -2*4*-1*n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - -6) - (-5312)\/(-1162).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/216)\/((-8)\/(-48)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/5 + 7*j**2\/2 + 5*j. What is the derivative of g(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 16. Let h = -16 + 3. Let w be h + (-1 - (-4)\/2). Let i be g(w). Calculate the greatest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5169.\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*u**6 - 7*u**4 + 223*u**2 - 2*u.\nAnswer: -17640*u**3 - 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3638 = -235*c - 157*c + 282 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/20 + (-6)\/10 + 5 + -4. Sort -2.6, -5, n in decreasing order.\nAnswer: n, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 + 1, -30 = -3*v + 3*h. Let b be ((-8)\/3)\/((-4)\/v*2). Solve 26 = b*q + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3592304092 - 3592308811.010002. Let j = -4719 - b. Let c = 0.01 - j. Round c to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65, -105, -163, -245, -357, -505, -695, -933?\n\"Answer: -a**3 - 3*a**2 - 24*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 77. What is the third biggest value in -5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 12*j.\nAnswer: 2*j*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7*c = 0. Suppose c = 4*n - q + 4*q - 334, -5*n + 417 = 4*q. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 7. Let b = -6 + 18. What is the remainder when b is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*18\/(-30) - -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -28*a**2 + 2699*a + 1650. Calculate h(97).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/15 - p**2\/10 - 2*p\/5 + 17. Factor g(q).\nAnswer: (q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 5*h**2 + 5*h + 3. Let d(o) = -o**3 - 27*o**2 - 27*o - 30. Let l be d(-26). What is b(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3275622 and 3587586.\nAnswer: 75339306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-306)\/(-7) - 12\/(-42). Let t be b\/6 - 14\/42. Sort -4, t, 0.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*f - 12 + 74 = 0, -3*f - 9 = 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207086 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2988 is divided by 739.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.7760981 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 123. What is u(-31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 424\/3 + -140. Factor 0*m + 0 - 2\/3*m**2 - s*m**4 - 2*m**3.\nAnswer: -2*m**2*(m + 1)*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 34*z = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/432 + (32\/(-30))\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 3215, 8407, 15973, 25907?\nAnswer: 38203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 244 = 3*w - w, 5*w + 70 = -l. Let n be l\/18*24\/(-100). What is the second biggest value in n, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let k(u) = 1 - 2 - 8*u + 2. Give k(m(j)).\nAnswer: -16*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1972 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.053 - 2.047. Let x = 0.1 + a. What is the biggest value in x, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 7, t: 1, g: 2, j: 4, m: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + (-48)\/(-9))*(9 - -132)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i + 336. What is m(16)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 1 - (64 + -53)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67173 (base 11) to base 5\nAnswer: -11103424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 13*f - 616. Calculate the greatest common factor of f and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.62 in -5\/6, 3\/5, -0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, o: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 603 = 2*w - 4*s, -4*s + 1200 = 4*w. Is w\/105 + (-2)\/(-15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6558738 divided by -101\nAnswer: -64938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(208)\/sqrt(4))\/sqrt(4))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -5*g**8\/14 + 5*g**4\/4 + 32*g. Find the third derivative of i(m) wrt m.\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*x + 128*x + 21060 = -126*x - 25*x for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 265*m + 2718 = -416*m, -4*g - 5*m = 90 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -17455108?\nAnswer: -17455111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.673975l in millilitres?\nAnswer: 1673.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvxff. Give prob of sequence vf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-24)\/(h*h**5*h*h*h*h**(-1)*h) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/4596750 and 48\/275.\nAnswer: 50564250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 20*q - 24 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*t - 2150, 5*t - d - 2130 = d. Suppose -g = 3*h - 100, -6*g = -g - 3*h - t. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -775*o - 44906 + 17006 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (2 + (9 - 4)) - -24?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/7, 0.056, -3\/2, 2, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353912.7 rounded to the nearest 1000?\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21064, -39282, -57498, -75712?\n\"Answer: x**2 - 18221*x - 2844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**3 + 7*w**2 - w + 7. Let h(k) be the second derivative of -3*k**5\/20 - k**4\/6 - k**2 + 3*k. Calculate 7*h(q) + 2*i(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w - 5. Let p be r(-4). Let o(k) = -5*k - 5. Let c(d) = 2*d + 1. Let y(z) = 5*c(z) + o(z). Calculate y(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 0.3, 5\/4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.24 litres in millilitres?\nAnswer: 4240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 68.2*4\nAnswer: 272.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**3 + 4*o**3 - 30*o**3 + 15*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12778029, -12778042, -12778073, -12778128, -12778213, -12778334, -12778497, -12778708?\nAnswer: -12778973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s**2 - 3*s - 6. Let g(t) = 22*t**2 - 2*t - 5. Give 4*g(u) - 3*l(u).\nAnswer: 19*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29990 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 55*u**2 + 15560*u**5 - 15425*u**5 + 2 wrt u?\nAnswer: 8100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {i: 2, h: 9, u: 1, n: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g\/g**2)**(-4)\/(g**(5\/3)\/(g\/(g*g**(-6)*g))*((g**(-1\/9)*g)\/g)\/(g\/g**(-1\/9))) assuming g is positive.\nAnswer: g**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5327 - 5331. Let j = -0.1 + 10.1. What is the nearest to -1\/2 in j, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4113222, -4113217, -4113196, -4113153, -4113082, -4112977, -4112832?\n\"Answer: n**3 + 2*n**2 - 8*n - 4113217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*s + 478*s + 14649 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -803153*f**2 - 1201842*f - 1 wrt f?\nAnswer: -1606306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -507338*z**5\/5 + 827346*z**4 - 11278302*z**3\/5 + 10770598*z**2\/5 - 1404384*z\/5 - 72\/5 = 0.\nAnswer: -1\/19513, 2\/13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 29*y + 34. Let i(v) = 15*v + 17. Let k(n) = 4*g(n) - 9*i(n). What is the hundreds digit of k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -35*u + 4078. Let g(z) = 158*z - 16313. Calculate 2*g(h) + 9*r(h).\nAnswer: h + 4076","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.16 (b) -10\/23 (c) -114 (d) 1\/5 (e) 2\/11 (f) 0 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 17290 = 10*q. Let l = q - -14808. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/((-72)\/(-38)))\/((-4)\/(-37)). Let j = 85\/16 - c. Find the common denominator of ((-738)\/(-96))\/((-6)\/(-4)) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 3*u. Calculate l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146044838 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1215 = -5*f, j = 47*f - 46*f + 413. List the prime factors of j.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n + 0*n)*(-246 - 1066 + 230) as u + f*n and give f.\nAnswer: 2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 21*j - 22. Let u = j + 7. Suppose 18 = -3*v + 4*v. Calculate the greatest common factor of v and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 + 317. Let g be 186\/4*(-720)\/x. What is the third smallest value in 2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:02 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/2 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppxpovppvppgovov. What is prob of picking 1 g and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**2 + 3*v**5 + 8*v**2 + (v**4 + v**4 - v**4)*(-3*v - v + 2*v) - 508*v**5 - 341*v**5 + 11*v**5.\nAnswer: -837*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9767 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -62.1. Let b = 5 - z. What is the closest to 1 in b, -4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2865757 (base 9) to base 12.\nAnswer: 641874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-4)\/(-8)*-2. Suppose v = x*v - 10. Solve v*i + 5 = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 174662.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 6411*n\/5 + 1282.\nAnswer: (n + 1)*(n + 6410)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.32762 decades in months?\nAnswer: 10839.3144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b - 1354 = -2*v, b - 2*v = 686. Suppose -4070 = -5*w + 5*k, -k + b = -2*w + 2307. List the prime factors of w.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254200 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 1. Let z(g) = 7*g**2 + g + 3. Let h(n) = n**3 + 4*n**2 - 10*n - 44. Let j be h(-3). Determine j*l(a) - 2*z(a).\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n. Let h(y) = 2*y**2 - 6420. What is h(t(i))?\nAnswer: 512*i**2 - 6420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Let y = 8 - u. Suppose w = y*w. Solve w = -a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let q(p) be the second derivative of -9*p**4\/2 - 5*p + 3. What is q(l(c))?\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 7194599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 16. Suppose 2*k + 0*k - c = 0. Suppose -2106 + 2127 = 7*t. Put -1, t, 1, k in ascending order.\nAnswer: -1, 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = d - 1716, 4*d = 4*j + 6872. Suppose -27*l = -1845 - d. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 52*w**2. Let v(n) = -n**3 + 5*n**2 - 6*n + 10. Let g be v(4). Let s(i) = 9*i**g + 3*i**2 + 3*i**2 - 14*i**2. What is j(s(h))?\nAnswer: 52*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 - 4*s - 2. Suppose 4*l + 9 = 53. Calculate the least common multiple of x(-2) and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 566101 - -763895. Suppose -3*h = 2*w - 4*h - 2660004, n = w + h. What is w rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-21))\/(-7*9\/(-84)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.296 * -0.11\nAnswer: -0.58256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6128 + 10770. Let y be j\/4 + -7 + 91\/14. Let h = -2717 + y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.134 or 7?\nAnswer: 5.134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.18 in -0.5, -5, -3, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54497713301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-91)\/45 - (28 - (29 - -8)))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 2, u: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16764 is divided by 180?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + 9*v**4)*(-2*v - 3*v + 4*v) - 2*v**3 + 0*v**3 + v**3 + 3*v**5.\nAnswer: -6*v**5 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -922 - 915 + 6*c + 17*c + 732*c**3 - 23*c wrt c.\nAnswer: 2196*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 3*p**2 - 4*p**2 + (-1 + 0 + 4)*(2 - 3 - 3)*(-18*p + 2*p**2 - 11*p**2 + 13*p).\nAnswer: 109*p**2 + 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 5*q = 13*q - 136, -12 + 1 - 1 = -4*x - 4*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 10920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59721 is divided by 101.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 17*b - 59. What is n(4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -3401444141?\nAnswer: -3401444221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-15)\/4)\/((-6)\/4960)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -165*f**3 - 1. What is d(1)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:08 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2479 (b) -3 (c) -0.251 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 184. What is l(-9)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/3 - 2*i**4\/9 - 22*i**3\/9 + 2*i**2 + 8*i\/9 - 8\/9 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*(-9)\/(36\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -385. Let z = 544 + x. Suppose -q + v + z = 0, 515 - 1746 = -5*q + v. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -658 + 1a2?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.077983 micrometers to kilometers.\nAnswer: 0.000000003077983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r**2. Let n(t) = -15616699*t**2. Give n(p(w)).\nAnswer: -7558482316*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + w - 82 + 84 = -5*u + 36, -w + 5 = u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - (-1 - -2). Suppose -c = 4*p - 6. Solve 0 = 2*v - 5 + p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/7 - 17\/21. Let x = 117 + -117.1. Which is the third biggest value? (a) x (b) q (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*(h*h**(-1\/5)*h)\/h)\/h)\/h)\/(h\/((h\/(h\/(h*h**(-3\/7)\/h)))\/h)*h))\/(h**(-1\/2)*h*h**8*h*h))**(-2\/3) assuming h is positive.\nAnswer: h**(989\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198009424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/1725)\/((-8)\/80). Let q = s - -757\/690. Find h, given that -1\/3 - q*h**2 + 3\/2*h = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -12477 (b) 9.9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 + 6*u - 3. Let c be d(-7). Find the first derivative of c - 3*m**3 + 4 - 4 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 - 7*x - 121. Give c(-10).\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:23 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/84 - (65 - -151)\/54.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**3 - 79*q + 79*q + 9*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/12 + 5*q**3\/6 + q**2\/2 + 5*q - 4. Let m(d) be the first derivative of f(d). Let r(v) = v. Give m(k) - 5*r(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.4, 364?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 14*a**2 - 25*a - 3. Let r(v) = 2*v**2 - 15*v + 6. Let k be r(6). What is the units digit of c(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6. Let y(x) = -x + 1. Let v = 412 - 436. What is v*y(n) + 4*m(n)?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2274 - 2274.3. Which is the fourth biggest value? (a) -2 (b) -214 (c) 0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16508, 16510, 16512, 16514, 16516, 16518?\nAnswer: 16520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2 - 16. Give g(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + y - 4 + 0 = 0, 4*y - 16 = 2*l. Suppose 12*g - 5*g - 35 = 0. Solve l = -0*h - g*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 133\/4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10130133031 - 0?\nAnswer: 10130133031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 295252337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2429494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuquuuqqtutuuuuuut. What is prob of sequence tu?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 597, 1193, 1777, 2343, 2885, 3397, 3873?\n\"Answer: -n**3 + 603*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 4*c. What is f(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-1\/4)*w)**(-40))**(-11\/2))**(-17) assuming w is positive.\nAnswer: w**(-10285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -74994475 divided by -14998895?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83686076 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(2 + -5)*-1. Find the second derivative of -3*c - 2*c**k + 5*c - c**2 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 877536?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -23, -28?\n\"Answer: -5*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 83949.\nAnswer: 167898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 297586960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 32832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*v + 295, -3*c + 8*c = -v + 307. What is the highest common factor of c and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/2*36\/(-30). Let b = 14 - t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-10\/9)*v))**(-20)*v**(-10)*v**(-2\/47))**(-20) assuming v is positive.\nAnswer: v**(442160\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-49) - 2\/(42\/(-123)). Put 22\/19, -3\/2, p in descending order.\nAnswer: p, 22\/19, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3aa - 6f?\nAnswer: a33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 12.\nAnswer: 3*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2968 and 901.\nAnswer: 50456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159918083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-66) + 7\/(84\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-28))\/((-10)\/((-560)\/(-14)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13*(-5 + 6\/2). Let l = -18 + c. Suppose j = 81 + l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (7 - 12) - 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822118666.\nAnswer: 2, 411059333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 - 3*n**4 - 2*n**4 + (-205 + 205 - 28*n**2)*(n**2 + 4 - 4) - 5*n**4 - 6*n**4 + 5*n**4 + n**4 - 4*n**4 + 0*n**4 + 2 - 2*n**4 + 2*n**3 - 4 + 3*n**4.\nAnswer: -37*n**4 + 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 15. Let j = -22 + w. Solve j = -5*o - 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-9)*6\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/8259 and 73\/15.\nAnswer: 41295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3) + 0 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 3. Let n(g) = 2*g - 9. Let h be n(6). Let a(j) be the first derivative of 4*j**2 - 6*j + 39137. Calculate h*a(y) + 5*c(y).\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = 3*x, 0 = 3*d - 5*x + 11. Let m = -4 + 6. Sort d, -1, m.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 7*p**3 - 5*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*n + 0*n = 1816, -4*n + 4 = 0. Suppose -1153 - s = -7*i. What are the prime factors of i?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/129? (a) -4 (b) -548 (c) 6\/5 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let l be (-8)\/12*(-1 + -2) + 1. Let k(o) = -l*o**2 + 15*o**2 - 2*o**2. Determine v(k(j)).\nAnswer: -200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 8*u - 4. Let n be g(-6). Calculate the greatest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 232*o + 213. Is n(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14330 and 219.\nAnswer: -3138270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/18500 and 157\/7215000.\nAnswer: 7215000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j + 0 - 1\/10*j**5 + 9\/40*j**6 - 8*j**2 + j**3 - 9\/8*j**4. Solve w(f) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = 90. Let o = b - -43. Solve -t - 4*t = -o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/6 + h**3\/3 - 2*h**2. Let w be n(4). What is the tens digit of 2\/(-7) + (-284)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o + 16. Let d(n) = 12*n + 63. Let y(g) = 4*d(g) - 15*u(g). Is y(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -3\/20*d**5 + 0*d**2 + 0 + d + 0*d**4 - 1\/6*d**3. Give g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 561 = -l + 3*x, -x = -4*l + 738. What are the prime factors of l?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:07 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 8, 36, 98, 206, 372?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(18) - sqrt(18)*-2)\/sqrt(6).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2. Let u be g(0). Suppose u = -l + 2*p + 33, 2*l - 5*p - 99 = -l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) -14\/123 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*j**3 - 483*d**2 - 2*j**3 - 112*j - 2 with respect to j.\nAnswer: 6*d**2*j**2 - 6*j**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.2. Let g = -4.006 - -0.006. What is the third biggest value in v, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 199?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-444399998)\/11 - -20*11\/(-1210). Round r to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/2, -12, -2, -4, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbwu when four letters picked without replacement from {x: 1, w: 2, u: 2, b: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/12)\/((-3)\/549). Suppose -6*o + 13 = y. Suppose -2*w - 9 = 1. Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voi when three letters picked without replacement from ilnogvo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41220866?\nAnswer: 2, 20610433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/24 - 2*j**2. Let h be (-6)\/(-9) + 4\/3. Let b(w) = -w + 5*w + 0*w - h*w. Determine 2*b(z) + 5*k(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25657486 take away -5?\nAnswer: -25657481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*q - 4154 = -31*q - 3938 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51181 and 16740?\nAnswer: 27637740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19502, 19407, 19312, 19217, 19122, 19027?\n\"Answer: -95*d + 19597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1575, 5, 23 in descending order.\nAnswer: 23, 5, -1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*u - 912 = 785 - 341 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9024 - -9028. Solve -3*z = 5*u + 15, 5*u + 15 = v*z - 3*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 37. Let o(f) = 2*f + 2. Let d(s) = 5*o(s) - w(s). Let q be d(6). Solve -q*u = -19*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43328 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3850666, 7701344, 11552022?\n\"Answer: 3850678*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/13914930 and -9\/55.\nAnswer: 153064230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 6 - 2)*(3 - 5 + 0)*(-2*w + 4*w - w)*(-1 - 1 - 5) to the form h*w + b and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 3, 0.5, -1\/6, 56 in ascending order.\nAnswer: -1\/6, -1\/7, 0.5, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2903311, -2903311, -2903313, -2903317, -2903323?\nAnswer: -2903331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -276\/5. Let x = o + 2\/15. Sort x, -0.5, -0.3 in increasing order.\nAnswer: -0.5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245236.2 less than 4?\nAnswer: -1245232.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - z - 15, -3*c + 0 = 2*z + 4. Let k = -0.9 + 0.7. Sort 2\/3, k, c.\nAnswer: k, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x - 44 + 64. Suppose g + x*a - 8 = -6, -3*g - 3*a + 3 = 0. Solve -6*l + 18 + 6 = g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lukt when four letters picked without replacement from {k: 2, y: 1, m: 5, l: 1, t: 7, u: 1}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 612558, 1225099, 1837626, 2450139, 3062638, 3675123, 4287594?\n\"Answer: -7*m**2 + 612562*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjtztojjjjobjz. What is prob of sequence zbto?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*w + 59 - 25, -2*w = 4*f + 6. Let n(g) be the second derivative of 0*g**f + 1\/6*g**4 - 24*g + 0 + 0*g**3. Let h(i) = -6*i. Calculate h(n(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012176 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777202678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - y = -4*y + 2, 5*q + 2*y = 14. Suppose 4*o = 2*s + 70, 7*o + 3*s = q*o + 82. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20334035 (base 7) to base 5\nAnswer: 414043413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71610)\/(-1705)*3\/(-9)*8.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 14\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-18) + -1 + 3 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:53 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47068 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.525549l in millilitres?\nAnswer: 9525.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b3 + -664730?\nAnswer: -664a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 41 + 2*p**2 + 41)*(-4 - 6 + 5).\nAnswer: -10*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 7, -0.03, 0, -395, -0.6, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3 - 1 + 1 - 2*t. Let j be c(2). Let n be j*(0\/3 + 0). Is n greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -33*v**4\/2 - v**3\/3 - v**2 - v - 11. Let f be i(-1). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(1\/4))\/((s\/s**(1\/4))\/s) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w + 12. Let q(a) = -23*a - 33. Let j(o) = 4*q(o) + 11*x(o). Let y(z) = -9*z**2. What is y(j(f))?\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 19*m - 128. List the prime factors of t(-16).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12313 + 12313.02. Which is the smallest value? (a) q (b) -13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(21*(-38)\/12768)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183\/7 + -26. Which is the closest to -0.5? (a) 4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 0*f - 5 + 13. Let r(u) = u**2 - 4*u + 3. Let o be r(3). Does 4 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (31 + -27) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*j**2 - 16*j**2 - 20*j**2)*(-39*j + 21 - 46 + 24).\nAnswer: -468*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 7*m + 8. Determine g(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377167629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let c(y) = 2*y**2 - 8*y + 5. Let l(g) = c(g) - 4*j(g). Give l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 42 = -4*o, -109*o + 30 = 5*w + 82*o - 186*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 16005.\nAnswer: 1216380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -57?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2633 - -334. Does 77 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let w be 4\/(-10) - (0 - 78\/120). Are l and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 7*t + d, 0 = 5*t - 5*d + 1106893 - 1106903 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5164 = 8*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226921 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**3 - 8*d**2 - d + 17. Let r(o) = -o**3 - o**2 + 2. Let v(a) = 51*r(a) - 6*t(a). Find w, given that v(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 (base 10) in base 7?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*h - 6*g, -4*h - 2*g - 13 = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let i(h) = -92330*h. Give r(i(x)).\nAnswer: 184660*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -8 - 1 - (-6 + 7)) + 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325*l - 3 + 3 + 272*l - 185*l + 323*l**3 wrt l.\nAnswer: 1938*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918942 (base 10) in base 7?\nAnswer: 10545063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-7)*92\/(-4)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4142, 4145, 4150, 4157, 4166, 4177?\nAnswer: 4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110011110000000001100 (base 2) in base 10?\nAnswer: -7987212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46711 and 0.5.\nAnswer: -23355.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 142*g**2 + 24*g - 1. What are the prime factors of z(3)?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -15. Factor 1\/3*u + 0 - 1\/3*u**f.\nAnswer: -u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*f**4 + 7 + 6*f - 90*f**4 - 85*f**4 + f**3 as x*f**4 + q*f + c*f**2 + a*f**3 + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/(o**(3\/7)\/o))\/(o**(2\/3)*o*o*o*o\/(o\/(o*o*o**2\/o*o)*o*o)*o) assuming o is positive.\nAnswer: o**(-275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = g - 18, -6 = -4*z - 86*g + 88*g. Put -4, -20, z in decreasing order.\nAnswer: z, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) 19.03 (c) -0.3 (d) -0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.48, -2, -0.055, -5, -0.5?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-1 - 106) + 0). Suppose 110*r = q*r + 18. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/11 and 77\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -12. Let m(h) = h**2 - 8*h + 8. Let z be m(j). Let i be (-1)\/3 + (-10)\/6. Sort z, i, -3.\nAnswer: z, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 2*m**2 + 15 - 7*m + 3*m**2 - 22 as u*m + w + c*m**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 49. What is the second smallest value in x, -23, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 5*j**2 + 5*j + 5. Suppose -5*a + 7*a = 6. Let o = a + 0. Let q(r) = -2*r + 2*r**2 - 1 + 6 + r**o - 7. What is -5*q(g) - 2*y(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -313\/1737480 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112\/25 - 514\/75. Is w greater than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 - 7. Let x = -292 + 292.5. Let h = 7\/48 - -157\/240. Which is the smallest value? (a) x (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**3 + 0*w**6 - 3\/112*w**8 + 0*w**4 + 0*w + 0 - 5\/4*w**5 - 1\/70*w**7 - 3*w**2. What is the third derivative of a(y) wrt y?\nAnswer: -540*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/8, 1\/11, 0.2, -2\/173?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -71\/705 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**4 - 7*d**3 - 3*d. Let l(v) = 9*v**4 - 6*v**3 - 4*v. Let z(j) = -4*a(j) + 3*l(j). What is m in z(m) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16494056546\/2875 + 5737063. Let m = 2561 - 320127\/125. Let i = m - d. Is i at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, 0.02, -16, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 - 67*t**2 + 30?\nAnswer: 3*t**2 - 134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 74*b**2 + 25*b + 1945. Give a(38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -439000 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/78 + (-58)\/39 - -2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/3 - 998*a**4\/3 - 11208*a**3 - 126656*a**2\/3 + 3084928*a\/3 - 1792736 = 0 for a.\nAnswer: -463, -22, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0620894nm to micrometers.\nAnswer: 0.0000620894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 117, 125, 149, 195, 269?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-126) + (-34)\/(-30)*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517876341 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.217 - -16.783. What is the closest to 3 in -4, -0.7, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 150. Suppose f - 4*f = -h. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 34 - (4 - -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 54. Suppose u*r - 6 = -c + 1, 0 = -4*c + 3*r + 5. Suppose -3*a + 6 = -c*a. What is the lowest common multiple of a and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 22*p**2 - 39*p - 132. Determine u(18).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195.71 + 205. Let p = -0.29 + a. Let s = 9.0000013 - p. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*h - 42824 = -308*h - 371*h + 181*h for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1683*g**2 - 160*g + 125. Let m be i(-55). What is m rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176\/1095 + -2\/73. What is the nearest to -1\/3 in 5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1222.8845 to the nearest integer.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (1 + -4*1). What are the prime factors of (-78)\/(-8)*p\/3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:01 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 31*p + 8868600 = 0. Round p to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.336143mm?\nAnswer: 6336143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 62*y - 4. Let g be l(-1). Let u = g + 150. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + -211?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/552)\/(2\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456488 take away 843.64?\nAnswer: -843.183512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 8) to base 7\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 18 = b. Suppose -b - 30 = -v. Suppose -w - 33 = -2*a, -3*a + v + 14 = -5*w. Solve 0 = 4*m - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/232 (b) 18 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 25 = -8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) + (sqrt(85) - (sqrt(85) + -3*sqrt(85)))) - 6*sqrt(85)*-3)\/((sqrt(50) - sqrt(800))\/sqrt(10) + sqrt(5) + -2*sqrt(5)*4).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10232000 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3498708.3 to the nearest 10000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1\/4, 4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 75 = -4*g + 63, -22 = 5*g - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 1. Let x be l(-1). Let w(t) = -2*t**2 - 3*t. Let b be w(x). Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let v(m) be the second derivative of 11*m**3\/2 - 130*m. Calculate v(f(p)).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6 - 275\/(-66). Suppose h - 143 = 4*m, -g*h + 497 = -m - 0*m. List the prime factors of 1\/(-3 - (-372)\/h).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56 in -6, 0, 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -5, 2, -10, 1 in increasing order.\nAnswer: -72, -10, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 801*u**6 + 714*u**2.\nAnswer: 96120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*l - 21*l**2 + 30*l - 4 + 32*l - 142297*l**3 + 142281*l**3 to y*l**3 + i*l + o*l**2 + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9058 is divided by 647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/11 and -57\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3443808 divided by 2474\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/12)\/(2\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.3 and 0.9386415524.\nAnswer: -2.3613584476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 1)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 3. Let a(r) = -246*r**2 + 5*r - 37. Determine a(x(s)).\nAnswer: -12054*s**2 - 10297*s - 2236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 128a90 (base 11) to base 3\nAnswer: 101021111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (-25 + -21 + 32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -22000012022?\nAnswer: -22000012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -493*a**7\/70 + 125*a**4 + 856*a**2. Find the second derivative of w(p) wrt p.\nAnswer: -17748*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2827*p**3 - 6*p - 3. Let b be h(-4). Suppose 3*f = -b - 80051. What is f rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -8*h - h. What is the greatest common factor of h and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-14) - 954\/(-21). Calculate the common denominator of 4\/(-18) + (-2)\/r and (1 + -92)*(30\/(-36))\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162652124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 40*g + 7. Let a be (-1 + 1)*(-6)\/6. Suppose a = 4*w - 6 - 6. Is b(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = 2*i, 2*i = -4*m - 3*i + 36. Let h = m - 5. Let q be 0\/(3*h)*1. What is the biggest value in 4, q, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + -5 + 14 + 2. Suppose 0 = q - 2. Let b(h) = q*h + 2 + 3*h - 4*h. Calculate b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*l = -1725644 - 818727, 4*w - 4*l = 3392504. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36632 is divided by 52.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 8*u**2 + 2*u + 10. Let m be c(-7). Let x = m + -4899. Let v = 8965 + x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. What is the second derivative of n - n - 2*n - w*n**5 wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6677 + 6679 + 117*x - 2467*x.\nAnswer: -2350*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12219 + 12219.5. What is the fourth smallest value in 0.024, 3, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(2040\/(-95795)))\/49?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208758 to the power of 1\/2, to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1132341 + 279687693\/247. Let c = q + 44\/19. Is 0.1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 19*z - 64. Let l = -115 + 99. What is the hundreds digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 1)*(1 - 2 + 2)*(2 - 3 - 1)*(4*p + 0*p - 3*p).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4353980.708 to the nearest 100.\nAnswer: -4354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7222848, -7222849, -7222850, -7222851, -7222852, -7222853?\nAnswer: -7222854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:06 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i + 56. Is g(14) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*c**3 + 0*c - 3*c + 52*c + 12*c.\nAnswer: -335*c**3 + 61*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14135 is divided by 1565.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244871974 - -349981974. What is i rounded to the nearest one million?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/253 and 39\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-36) + 14014\/(-12). Let k = 4595\/4 + c. Find the common denominator of k and (-2)\/(-5) + 1324*(-19)\/3040 - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -32.2. Let g = f - -0.6. Let k = 5 - 4.8. Which is the nearest to -1? (a) k (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10214 or -10118?\nAnswer: -10214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 720\/117 + -3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 628338114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*g + 11 = 0, 14*l - 19*l + g - 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 41*l + 29. Let a be k(3). Let s(m) = 303*m - 151*m - a*m + 2 - m**2. Calculate s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 39 + 55 + -58\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-3)\/10)*3\/(-6). Suppose -5*v + 2*s = -9, -s + 1 + 1 = 4*v. Solve -b*i + 24 = -v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j\/(j**(-1\/4)\/j*j)))))\/j*j\/j**(-1)*j)**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001 (base 2) in base 11?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10220 + 57*t + 10220)*(1 - 2 + 3)*(4 + 1 - 4).\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.656 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-405)\/12)\/3)\/(5*(-225)\/(-3000))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhcchcccchcchhhcchch. What is prob of picking 3 h?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jbbodbcboccb.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 3*x - 1 + 5*x)*(-4*x**4 - 4*x**4 + 5*x**4).\nAnswer: 12*x**5 + 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16318 or -0.029241?\nAnswer: -0.029241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 161. Is 3 a factor of (-18)\/24 + (-2910)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-52 - (-3339)\/63)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 1. Is 12 a factor of j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3095 - -15477\/5. Which is the closest to -1? (a) -9\/20 (b) v (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 81 = 2*u - 5*u, -3*a + 5*u + 97 = 0. Calculate the remainder when (2 - 0)\/(((-1)\/3)\/(2968\/(-336))) is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 280 + -266. Calculate the remainder when 321 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857 - 2815 = 171*x - 1813 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 100. Let k = -1385 + 1396. Calculate the lowest common multiple of k and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -843313*u**4 - 8455*u**2 + 24*u + 3.\nAnswer: -20239512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -7\/10, 3 in decreasing order.\nAnswer: 3, 0.4, -7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 7*w**2 - 8*w - 9. Let j be u(-6). Suppose 2*n + 2*n + j*y = 26, n + 5*y = -2. Calculate the lowest common multiple of n and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 156613 - 7?\nAnswer: 156604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let u(l) = 1501*l. Give g(u(o)).\nAnswer: 4506002*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let f be 1\/j + 19\/(-4). Let n(k) = -k**2 - 3*k + 3. What is n(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464073*o**2 - 2928057*o**2 + 1463980*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2249 divided by -1.\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4160364.59 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 89*b**2 - 237*b**2 + 1.\nAnswer: -326*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 6. Let a be x(-7). Let z = 9 - a. Is (33\/44)\/(z\/628) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - 38\/(-8). Let a(z) = z**2 + 2*z - 4. Let n be a(-4). Solve -y*j + 2*x - x = 13, n*j = -3*x + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2 + 1\/(-2))*3. Let l(h) = 3*h - 1. Let f be l(2). Solve -2*t + 10 = 3*m, -5*t + f = -m - c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -8183.\nAnswer: -3\/8183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64 + -3*5\/15. Calculate the greatest common factor of 42 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -31. What is the nearest to -2\/3 in 1, 1\/2, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x - 878 = -722 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g**2 + 311 - 40*g**2 - 346 to t*g**2 + s*g + c and give t.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 1581, 4975, 11577, 22455?\nAnswer: 38677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8040597, 32162373, 72365333, 128649477, 201014805, 289461317, 393989013?\nAnswer: 514597893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.25 - -21.95. Which is the second smallest value? (a) 0.3 (b) -0.1 (c) o (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - t**3 + 0*t**3 + (-2*t**2 + 4 - 4)*(t + 4*t - 4*t) + 0*t**3 - 4*t**3 + t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 3*q**2 - 6*q**3 + (0*q - 3*q + 2*q)*(-81 + 81 - 10*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407350.\nAnswer: 2, 5, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -207 + 213. Let g(z) = 2*z**2 + 3*z + 2. Suppose -n = 4*n + 10. Let t(y) = -4*y**2 - 7*y - 5. Let c(r) = n*t(r) - 5*g(r). Give c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.8. Let i = 14 - 13.93. Let o = -0.23 - i. What is the nearest to -0.2 in -5, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13636902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 - 403. Let k = -311 - w. Let y = 249 + k. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/2)\/(-3*(-102)\/(-9)). Sort 11, 0.3, r, 4 in ascending order.\nAnswer: r, 0.3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73916069.\nAnswer: 149, 431, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(1300) + -1 + sqrt(1300)*2 + sqrt(1300) + -3 + 1*sqrt(1300)*-1 + (sqrt(1300) + 1)*-4)**2.\nAnswer: 140*sqrt(13) + 1354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9299.776 * 17.\nAnswer: -158096.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 313\/219?\nAnswer: 313\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10640.587 to the nearest integer.\nAnswer: 10641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) 1 (c) -2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 4. Suppose -9*c = -8*c + 6. What are the prime factors of o(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21680 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {o: 4, k: 4, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -a396?\nAnswer: -a391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 + 17*p**3\/6 - 5*p**2\/2 + p. Let r be h(16). Let f = r - 8. What is the highest common factor of f and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282 - -279. Let n = -8 - -7. Let j be n\/(((-16)\/(-10))\/4). Is j <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -446, -454, -462, -470, -478?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-1 + 7)) + 8 + -5 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135\/8 - 3121\/184. Let v be (2\/(-9))\/((-8)\/(-6)). Which is the second smallest value? (a) v (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 6*i - 6. Let u be c(4). Suppose -5*a - y + u*y + 184 = 0, y + 40 = a. What is the remainder when a is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1022\/2313 - 2\/771. Suppose 4*k - 15 = k. Let i be (k\/6 - 1)*5. Put i, j, -5 in ascending order.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 + 7*r + 5. Let o be p(-5). Let s be (-5)\/(o\/78) - (-6)\/21. Solve -l - s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 5*n + 3. Let b be m(-8). What is the common denominator of (0 + b\/24)\/1 and (-136)\/33 - (-5)\/(-15)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:23 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041020 (base 6) to base 2.\nAnswer: -1100101101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5*y - s**4*y**2 + 10*s**4 - 2*s**2*y**2 - 221*s**2 - 3*s*y**2 wrt s.\nAnswer: 60*s**2*y - 24*s*y**2 + 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.36 + -0.36. Let c = -9 + t. Let p = 52\/3 + -17. What is the third smallest value in 0.2, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102570 + -43438. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8824961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 42. Let d(r) = -5*r - 22. Let b be d(-10). Let u be t(b). Sort 2, -2, u, 1 in descending order.\nAnswer: u, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 3. Let h be k - 1 - 2\/(-2). Is (-155)\/(-3) - 2\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 + -154. Factor d + 1\/4*d**a + 1.\nAnswer: (d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-803 + 2232 + 935)*(2 - 2 + 2*h).\nAnswer: 4728*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 1, u: 1, a: 1, b: 1, m: 1}. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -33.2899.\nAnswer: -13.31596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -34645414444.\nAnswer: -34645414443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17371552.\nAnswer: 2, 11, 17, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9.93 times 4\nAnswer: 39.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -172, -572, -1350, -2632, -4544?\n\"Answer: -21*a**3 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-40)\/(-15). What is the third derivative of 2*q**2 + 0*q**v - 4*q**2 + 3*q**4 - 6*q**4 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 19. Let x be b(-14). Suppose x*l + 9 - 24 = 0. Suppose 1 - 49\/4*u**5 - 6*u + 73\/4*u**l - 21\/4*u**4 + 17\/4*u**2 = 0. Calculate u.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -769526.\nAnswer: -153905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*n**2 - 12*n**2 + 35*n**2 in the form d*n**2 + y*n + x and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:37 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s, 4*h - 75 + 59 = -5*s. Which is the closest to -1.2? (a) 3 (b) h (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45227 + 7252 = -1029*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:21 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7442, -7343, -7222, -7067, -6866, -6607?\n\"Answer: 2*o**3 - o**2 + 88*o - 7531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + x = -9*o - 13, -7*o + 31 = -3*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (6 - 1)) + (-5 + -6 - -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:05 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/708 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 23 - 2. Suppose m*q - 2*q - 3*d = 32, q - 32 = -3*d. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k - 576 + 89 - 177 = 656 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 6*m**2 + 13*m + 46. Let r be y(-7). Sort 5, -4, r, 15.\nAnswer: -4, r, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -17. Suppose -9 = -o*n + 735. Let x = n - 67. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36809 - -3?\nAnswer: -36806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 31 (c) 4\/15 (d) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69650461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.9386*-14106.\nAnswer: 140193.8916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*o - 8, -o - l = -3*l - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-588)*-14)\/(-1*(-4)\/138).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 32. Solve -2*g + 3 = -d*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -79*y**2 + y**3 - 85*y**2 + 3*y + 165*y**2 + 3. Determine u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 204. Let p = 128.0000134 + x. What is p rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + -1.1. Let k = -0.6 - p. Are 0.04 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 714 - 590. Suppose 49*b + 2168 = 5402. What is the remainder when a is divided by b?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -5 (c) -3 (d) -4 (e) -324428 (f) 2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffv when four letters picked without replacement from mqmqfqmqmfvqqmf?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15532115 times -0.9\nAnswer: 13978903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/r**(-5\/3))**(1\/23)\/(r\/(r**(-7)*r)*r\/(r\/((r*r**(1\/3))\/r)))**(1\/7) assuming r is positive.\nAnswer: r**(-635\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.436 * -833\nAnswer: -1196.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/3 + 2462*b**4 - 13697069*b**3\/3 + 216707560*b**2\/3 + 343810500*b + 1086338000\/3 = 0 for b.\nAnswer: -2, 20, 3685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 604, -6, -3, -192, -4 in decreasing order.\nAnswer: 604, 24, -3, -4, -6, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - (-64404)\/14. Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*q + t - 9, -2*t + 4 = q. Suppose -6*d = -18 + 6. What is the derivative of 25 - 6*v**2 + d*v**q - 23 wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 691080 and 15720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*l**2 - 208*l**3 - 586 - 16*l**2 - 808 + 319 + 28*l**2 wrt l.\nAnswer: -624*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -813 + 896.9. Let u = r - 88. Let j = u + 1.1. Which is the third biggest value? (a) -2\/15 (b) j (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(38) - 2*sqrt(3078) - sqrt(114)\/(sqrt(3) + sqrt(3)*2))\/(sqrt(10)\/(sqrt(5) + (sqrt(60)\/sqrt(3))\/sqrt(4))).\nAnswer: -208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 13 + 1 + 14 - 2*x**4 + 1 + 5*x**4 - 1 + (x**2 + 5*x**2 - 3*x**2)*(x**2 - x**2 + x**2).\nAnswer: 6*x**4 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5445, -10943, -16461, -21987, -27509, -33015?\nAnswer: -38493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 2, b: 9, t: 4, h: 3}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 + 11*o - 12. Give x(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 19*o - 28. Let u be y(-17). Solve -u = -m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*i**3 + 68*i**3 + 6*i**2 - 1889*i - 9415*i.\nAnswer: 2*i**3 + 6*i**2 - 11304*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = o - 2 - 1, -4*g = 0. Suppose x = 1166 - 1166. Solve -5*p - o - 2 = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (sqrt(200)*-1 + sqrt(200)))\/sqrt(10))\/(-2*sqrt(144)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/((g*g**(5\/13)*g)\/g*g)))\/g**(-13))**(-24))**17 assuming g is positive.\nAnswer: g**(-81600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*1)\/sqrt(7))\/(sqrt(6) - sqrt(1350)\/sqrt(9)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34740330 by -1.\nAnswer: 34740330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.09 - 0.09. Let l = 3.5 + 0.5. Let d = -28.3 + 28.4. What is the nearest to u in 3\/5, l, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.7082 years?\nAnswer: 0.77082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**2 + 5960*f\/3 + 1985\/3 = 0.\nAnswer: -397, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68332*r**2 - 33831*r**2 - 34132*r**2.\nAnswer: 369*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from rjqjqjqqjjjqjqqrqj.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -14.5 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttttit. What is prob of picking 1 t and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/24 + l**3\/6 + 21*l**2\/2 - 62*l. Let a(n) be the first derivative of b(n). Calculate a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/324*(-9)\/(-5 - -32).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*w - 10 = 0, -2*v = -3*v + 5*w + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcdrcfvcfccfdcff. What is prob of picking 1 r, 2 c, and 1 v?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*t + 27. Let m be (-2)\/((-2)\/(-2)) + 6. Suppose -h - 3*h + m = 0. What is the least common multiple of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-100)\/6)\/(8\/(-72)*-3). Let z = w + 202. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:46 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712 + 1964. Suppose -2048 = -10*c + l. Is 30 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.42 - 0.58. Let x = -70.4 - -86. Let m = j + x. What is m rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 3*m**3 - 4*m**3 + 74*m + 6*m**3.\nAnswer: 2*m**3 + 74*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 4. Let n(s) = 1. Let x(a) = -j(a) + n(a). Let k be x(-2). Put -5, k, -1, -3\/5 in descending order.\nAnswer: k, -3\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h - 48 + 34 + 670 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354539020?\nAnswer: 2, 5, 11, 23, 70067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 7*t - 18*t**2)*(-8*t - 4*t + 13*t)*(2*t - 6*t + 2*t).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17554 + 17578. Solve 87*g - x*g + 189 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 2046 = 13364. What are the prime factors of f?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-2) + -2 + -1. Suppose t*y - 4*d = d + 200, -2*y + d = -80. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 94, 209, 370?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 4*n - 4, -n - 2 = 0. Let i = -48 + 53. Sort i, o, -1.\nAnswer: o, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283879 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 6*y**5 + 3*y**5 - 3 + 3 - y**5 + 4*y**5 + 3*y**5 - 5*y**5 + 3*y**2 - 3*y**2 + 2*y**5 + 2*y - 2*y - y**5 + (y + 2*y - y)*(y**4 - y**4 + 2*y**4).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811*g = -830*g. Is g bigger than -44\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -12. Let b(m) = -7*m**2 - 14*m - 29. Let x(d) = 4*d**2 + 7*d + 15. Let o(q) = -3*b(q) - 5*x(q). Is 10 a factor of o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*l**3 + 1524405*l**2 + 12907772000*l - 38737036860.\nAnswer: 5*(l - 3)*(3*l + 50818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/(-9)*4*(-33)\/(-440). Factor -78*k - c*k**3 + 144\/5*k**2 + 20.\nAnswer: -2*(k - 5)**2*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12138*g**3 + 38227*g?\nAnswer: 72828*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 81 - 260 + 84 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -19875583*c. Let r(n) = 3*n. Calculate r(z(m)).\nAnswer: -59626749*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 253233*b - 20744934.\nAnswer: -3*(b + 82)*(b + 84329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*r + 1 = 0, -57 = 4*f + 6*r - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 8*b**2 - 4*b + 5. Let m(y) = 4*y**3 - 10*y**2 + 5*y - 5. Let p(q) = -2*m(q) - 3*u(q). Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:37 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325624 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -8, -3, -11\/5, 1\/3 in ascending order.\nAnswer: -8, -3, -11\/5, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((1*sqrt(75) - sqrt(75)) + -1 - (-2*sqrt(75) + -3)) + 3*(sqrt(75) - (-2 + sqrt(75) - sqrt(75)))*-5 + -5)**2.\nAnswer: 4290*sqrt(3) + 13764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*23\/(690\/72). Which is the second smallest value? (a) m (b) -0.093 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1489 (base 14) to base 3.\nAnswer: 12000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 240 = -2*v + 430, -4*i - 5*v = -553. Calculate the least common multiple of i and 176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 383 = 51*h. Suppose 2*q + 2*d + 4 = 0, 0*q - 5*q = -5*d - h. Solve q = 3*u - u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - -26 - -1 - 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - p**2 - 3*p**2)*(-1185*p + 2022*p - 1166*p) - 3*p**2 + 3*p**2 + p**3.\nAnswer: -328*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 12*x = 3*p - 15, 0 = x - 3. Put p, -2, -5, 1, -9 in descending order.\nAnswer: 1, p, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391999\/36 + -10889. Suppose -4*s + s = -3. Is s greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j**2 - 26*j + 42. Let r be n(-6). Is -338 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 24*l + 36. Calculate d(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/266508 and -19\/4885980?\nAnswer: 14657940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -5, 4, 24, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*m**3 + 236548*j**2*m**2 - 87*j**2 + 31*j*m**2 + 3*m**3 + 878996*m wrt j?\nAnswer: 4*m**3 + 473096*m**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 62*h**2 - 233*h - 7. Determine r(3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -46*p - 324. Determine m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31029 (base 13) to base 8.\nAnswer: -253553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/11279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2 + -2)\/(-2). Let v be 2\/(-4) + (1 - i). Let d be (-165)\/308 - 1\/(-4). Which is the second biggest value? (a) d (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/5)*s)**(-1\/10)\/(s\/s**15)**(19\/3) assuming s is positive.\nAnswer: s**(13303\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/((-2)\/(-12)). Let a be 78\/84 + -1 + (-3)\/14. Is b at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002727518 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/552 - -503\/3864. Find z, given that -s - 1\/7*z + 1\/7*z**3 + 1\/7*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.72 (b) 3 (c) -2\/15 (d) -11 (e) -3 (f) -10 (g) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/17, -0.4, 656\/9 in decreasing order.\nAnswer: 656\/9, 22\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:26 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b**3 - 3*b - 6. Let j(m) = -10*m**3 - 4*m - 5. Determine -6*j(l) + 5*k(l).\nAnswer: 5*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 1. Let m(l) = -7*l**2 - 2*l + 215. Let b(c) = -m(c) - 3*r(c). Differentiate b(f) wrt f.\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 420ca - -1?\nAnswer: 420cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let o(s) = -11 + 16 + 0 - 4*s - 1 - 1. Suppose -3*f + 3*p = -15, 0 = -5*f + 5*p - 4*p + 17. Give f*o(t) + 8*j(t).\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28019, 112068, 252155, 448280, 700443?\n\"Answer: 28019*p**2 - 8*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/29)\/r*r**(1\/9)\/r)**(-11) assuming r is positive.\nAnswer: r**(5621\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.65, -34, 5, -4?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by 1.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33006762, 33006766, 33006770, 33006774, 33006778, 33006782?\nAnswer: 33006786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/20 - 11*g**4\/12 - 4*g**3\/3 + 9*g**2\/2 - 176*g + 6. Determine n(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457040.\nAnswer: 2, 5, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 2, n: 2, h: 1, d: 5}. Give prob of picking 1 n, 1 h, and 1 d.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 6. Suppose 0 = 4*y - f + 3*f - 24, -4*f + 8 = 0. Let z(j) = -y*j + 5 + 4*j + j - j. Suppose -15 = -3*i - 0. Determine i*d(u) - 6*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 21 + -5 + 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 8. Let m be r(4). Suppose -w - m*w = -5. Suppose 0 = -0*p - p - w, -c + p + 4 = 0. Solve -4*a + c*a = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38881*l - 38884*l = 5*h + 11, 0 = 6*l + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z - 6. Let y be m(-10). Let s = y + 2. Solve -5 = s*t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1190, 2\/199, 1\/2, 0.04?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:43 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 9 = 8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*m - 5*c, -17 = -5*m - 2*c + 3*c. Let b(v) = v**2 - v - 4. Let s be b(m). Solve 2*f**3 + f**2 + 3*f**2 - 2*f**s - 2*f - 2 = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751268.\nAnswer: 2, 13, 157, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14814413.\nAnswer: 113, 131101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 3 + 3)*(-3 + 0 + 2) + y**2 - y**2 - 2*y**3 + 310*y**3 - 96*y**3 + 95*y**3.\nAnswer: 306*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2045 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 7)\/((-4)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 960\/31?\nAnswer: 960\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(-160)\/30.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9 - (218\/48 - 4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 55. Let s = 43 - j. Let i be 3*(-3)\/s + 1. Solve 2*m - v = -5*v + 10, 5*m = -i*v + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337140 to the nearest one thousand.\nAnswer: -337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let f(q) be the second derivative of -q**7\/1260 - q**4\/4 - q. Let z(k) be the third derivative of f(k). Give z(c(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180062 rounded to four dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-24)*x\/(x*x**2\/x)*x*x**(-2)\/x assuming x is positive.\nAnswer: x**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 21*y + 16*y - 885, 5*p + 2*y - 878 = 0. Calculate the least common multiple of 144 and p.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.35 - -3.45. Which is the closest to m? (a) 0.2 (b) 0.4 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -67. Suppose 0 = 6*h - k*h - 11. Let f = -596 - -23841\/40. Are h and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000328470468 to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*r = 4*x + 345*r - 10, -3*x + 6*r = -144 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445600 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457775948.\nAnswer: 2, 3, 8231, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*m - m = 15, -5*x + m = -27. Let p(j) be the first derivative of -j**4\/4 + 8*j**3\/3 + 7*j + 1. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**7\/70 + s**6\/360 - s**5\/120 + 61*s**3\/3 - s**2\/2 - 19. Let k(z) be the third derivative of u(z). Determine k(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - s = 61*p + 11602, 0 = 3*p - 3*s - 6966. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = -2*b, -2*x = 10 - 2. Does 14 divide 2\/b + (-4960)\/(-176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.358 times -0.928\nAnswer: 12.396224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-40) + (-2)\/5)*-4. Solve 1 = u*f + 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(576)*2)\/(sqrt(128) + 2*sqrt(128)*1) + -3.\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8876 - 5145 + 4404)*(4*q - 2*q + 0*q).\nAnswer: -19234*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3977*i + 23830. What is o(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 8*r - 5. Let y be x(7). Let c = 4 - y. Suppose c*i = -0*i + 3*h + 34, -4*i = -4*h - 72. Calculate the remainder when 38 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -9*q + 2*h + 6*h + 180, 5*h + 98 = -82 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.872 + -0.028. Let v = d + -97.1. Let j = 101.99929 + v. Round j to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -73. Suppose 4*k - 9 = 3*i + 84, -3*k + r*i + 69 = 0. Solve -3*y - 5*u + k = -4, -y - 2*u = -11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1377) + sqrt(1377) + 1)**2.\nAnswer: 216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 49171 + 7517 = 0. Suppose -6*l + 1536 = -n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((558\/(-18))\/(-31))\/((-1)\/(-4)))\/(2360\/20).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92b - 4ab1?\nAnswer: -4182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -1 - -5 - (16 - (-8 - -20))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 4)*(2*j - 8*j - 5*j)*(-2*j + 2*j + 4*j**3) in the form g*j**4 + w + t*j**2 + y*j**3 + q*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/4 + 582*g**4 + 118803*g**3\/4 - 30282*g**2 = 0 for g.\nAnswer: -49, 0, 1, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040362 rounded to 6 dps?\nAnswer: -0.000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 2023347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, 0.2, -1, -3, 15\/46?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68, -0.1, -1, 4, 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + -1 + sqrt(540)\/sqrt(5) + sqrt(3))**2 + 2*sqrt(30)\/(sqrt(10) + sqrt(40)\/sqrt(4)).\nAnswer: -31*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*f = l - 1925, 0 = -4*l - f + 1540. Let d = l - 168. What are the prime factors of d?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)\/l)\/(l\/l**7))**(1\/4)*((l*l*l**(-6)\/l)\/(l**(-1)\/l))\/(l\/((l**(2\/5)*l)\/l))**50 assuming l is positive.\nAnswer: l**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 * -0.20478\nAnswer: 2.395926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 8) in base 5?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwcvbxcwvwwwcy. Give prob of picking 1 x, 2 v, and 1 y.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1249*k**4\/12 - k**3\/2 + 3633*k**2 - 6557*k. What is the derivative of y(j) wrt j?\nAnswer: -2498*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/377 in -2, 0, 213\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -759, -1291, -2041, -3009, -4195, -5599?\nAnswer: -7221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 1. Let u be b(1). Suppose -u = -r - 2. Let v be (-4)\/r - (-24)\/9. Solve -3*m + v = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvjjeedgtdtevd. Give prob of picking 3 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-1705) - 1915\/275.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 2 + 4)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 3, 6118.\nAnswer: -94, 3, 6118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 73. Let a = x - -52. Suppose 5*j - a*l = 1576, j = 2*l - 6*l + 329. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.5 + 7.1. Let z = -1.1 - -1. Sort q, z, -2\/13.\nAnswer: q, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15383*z**2 + 17894 wrt z?\nAnswer: 30766*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490.8*3.\nAnswer: 1472.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1135, 1137, 1141, 1147, 1155, 1165?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.306.\nAnswer: 1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/q*q)\/(q**15*q) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 7*y + 7. Let t(b) = -b**2 - 8*b - 8. Let l(k) = 5*k**2 + 41*k + 41. Let h(a) = -2*l(a) - 11*t(a). What is 6*c(x) - 7*h(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 12a0?\nAnswer: 12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21469, 42933, 64395, 85855, 107313, 128769?\n\"Answer: -j**2 + 21467*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 5122663.\nAnswer: 5122663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 89005 = -u - 0*u, -3*n = -u + 88975. Suppose t - d + 61990 = d, 3*t = 3*d - 185970. Let o = t + u. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 303546\nAnswer: 30354.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6958 (base 11) to base 3\nAnswer: -110112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51601 is divided by 2112?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/7 - 4*u\/7 + 16\/7 = 0. What is u?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17380339 + -17512661. What is a rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*m - 18*u, 443*u + 24 = 2*m + 438*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 417*c + 5916. Determine x(-14).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146186 is divided by 245.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037281305 a multiple of 631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*(6\/(-15))\/((-4)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6070.9 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -284\/7. Is a less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -650 + 670. Solve 16*j - 8 = f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 - 2*v + 4. Let b be n(-3). Let i = 3 + b. Solve 4*p = 2*y + 8*p + 8, 5*y + 14 = -i*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35646*u**2 - 58070?\nAnswer: -71292*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(110) + sqrt(110) + sqrt(110) + sqrt(110))*6*-1)\/(-4*sqrt(360)*5).\nAnswer: 3*sqrt(11)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wia when three letters picked without replacement from {a: 1, q: 2, i: 1, w: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 31*s + 14. What are the prime factors of z(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2\/7)\/x))\/x)**4)**(-50) assuming x is positive.\nAnswer: x**(-1800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580688?\nAnswer: 2, 29, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.5, -64, -1 in decreasing order.\nAnswer: 3\/2, 0.5, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/207 smaller than -107\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19624, -156837, -529272, -1254541, -2450256, -4234029, -6723472, -10036197?\nAnswer: -14289816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(3915\/1102))\/(46\/345).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.97 + 0.87. What is the closest to 0 in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**3 - 97*n**3 + 17*n**3.\nAnswer: -124*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -1291\/9. Let c(d) be the first derivative of 1\/9*d**2 + 1 + 4\/27*d**3 - k*d - 1\/18*d**4. Determine s, given that c(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7813\/76 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - (-2)\/4. Suppose 2*r + 4*t = -0*t + 24, n = -r - t + 9. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17418882 divided by -6.\nAnswer: -2903147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1 + n**3 + 3*n + n**2 - 4*n + 0*n. Let i = 96 + -94. What is the remainder when 20 is divided by d(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 15. Determine k(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((66\/22)\/(261\/(-6)))\/(1\/1)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, a: 5, t: 1, i: 5}. What is prob of sequence atia?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*233\/466?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 = -30494*d + 30517*d + 93 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/289 and -79\/1156.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1661 (base 7) to base 2\nAnswer: 1010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/9 + (-4)\/6. Solve 3*q = h*n + 3, -3*q + 3 - 15 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (-2*sqrt(49) + sqrt(49)))\/sqrt(7)*2.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9574 + 9453. Which is the fourth smallest value? (a) 5 (b) -1\/14 (c) 0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (4\/1 + 19). Let z = d - -23. Let v be (6\/4)\/(z\/(-2)). Solve v*x = 7*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-610)\/(-244)*(-2)\/(-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1165\/13 - -47257\/468. Let l = 55\/9 - f. Let t = l - -5. Is t at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -11, -22, -45, -86?\n\"Answer: -q**3 + 3*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 + 7)*3\/(-90). What is the closest to 1 in -0.2, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 244, 134, 24, -86, -196?\n\"Answer: -110*i + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let v(s) = -13*s - 2. Let q(u) = 19*u + 3. Let z(j) = -5*q(j) - 7*v(j). Give z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4 - 3*i + 8*i + 8 - 42*i. Let w be p(-6). What is the remainder when ((-6)\/9)\/((-4)\/w) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*x + 1978 = -526*x - 2252 - 646 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o - 18*o - o + 8*o**2 - 3*o wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-7)\/(-735)*-9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -216\/17*k + 82\/17*k**4 - 12\/17*k**5 + 48\/17*k**3 - 56\/17 - 206\/17*k**2 = 0.\nAnswer: -1, -2\/3, -1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvahf. Give prob of sequence gvfh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*h\/h**(5\/2)*(((h*h**(-6))\/h*h)\/h*h)\/((h\/(h*h*h*(h\/(h\/h**(-6)))\/h*h))\/h)*(h**(2\/7)*h*h)**9*h*h*h**6*h*((h*h**(-5\/4))\/h)\/h assuming h is positive.\nAnswer: h**(555\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-3)))*m*m*m**11*(m*m**(2\/5))**(4\/13))**(-4\/7) assuming m is positive.\nAnswer: m**(-2972\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k - 5. Let a(b) = b**3 + 7*b**2 - b + 1. Let t be a(-7). Let f(q) be the first derivative of 17*q**2\/2 - 8*q - 129. What is t*v(o) - 5*f(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 24. Solve s = -o - 0*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 16, 62, 138, 250, 404?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-72)*-111)\/(11\/99*-6)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441293859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y, -3*y = q + 4*q - 354. Suppose 9*i - q = i. Suppose 0 = -i*k + 10 + 35. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(343)*2)\/(sqrt(7) - (sqrt(1008) - -1*sqrt(1008))))\/((sqrt(7) + sqrt(567)*-1 + sqrt(567) + (-2*sqrt(42))\/sqrt(6))*5).\nAnswer: 12*sqrt(7)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/568560 and -191\/162840.\nAnswer: 33545040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53367 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.21.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l - 2*o, -2*o - 22 = -5*l - 5. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-2\/11))))\/(m\/m**(-3\/7)))**(-3\/13) assuming m is positive.\nAnswer: m**(141\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.2. Let f = -21 + 14. Let l = f + 10. What is the nearest to l in 0.5, r, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/15*(-74)\/333)\/((-4)\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 12*w**2 - 2*w + 31. Let f be h(12). Suppose -3*o = f*o. Factor -4\/7*g**3 + 2\/7*g**4 - 2\/7 + o*g**2 + 4\/7*g.\nAnswer: 2*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m - 2. Is 19 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*-2 - (sqrt(132)*1)\/sqrt(6))\/(1*-1*sqrt(539) - sqrt(539)).\nAnswer: -3*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 22*a + 3*a)*(-2 + 0 + 0)*(1 - 3 + 5) in the form y*a + s and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3166 + -3072. Solve p + l = 93 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -22, 74, -1.7, -1\/7, -4\/5, -2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.1882 nanometers in meters?\nAnswer: 0.0000004061882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48389361355970 from 0.1.\nAnswer: 48389361355970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -5 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-8) + 2)*(12 + -4). Suppose 0 = l*o - 2*o. Let x = 3.09 - 0.09. Which is the smallest value? (a) 2 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/12 and -121\/352698.\nAnswer: 705396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.017, 164\/29, -0.11?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4794.332 - 11.332. Let u = j - 4717.71. Let q = u + -65. Round q to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -98783*d**2. Let y(l) = -9*l. What is y(h(w))?\nAnswer: 889047*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-48 + (-120)\/(-28)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(75).\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -485 divided by -924\nAnswer: 485\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043591926 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -85 + y**2 - 2*y - 1\/3*y**3. Give d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1587*r**4 + 27807*r**3 + 39576*r**2 + 15084*r + 1728 = 0. Calculate r.\nAnswer: -16, -1, -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 5.06. Let n = -2.4600167 - h. Round n to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. List the prime factors of (-35)\/k + 2\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -1\/60*a**5 + 0 - 1\/9*a**3 - 1\/12*a**4 - 13*a + 0*a**2. Suppose l(o) = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 101*o**2 + 9*o - 33. Suppose 4*s - 1 = 7*s + 4*z, 13 = s - 2*z. Is x(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2*h. Let k(n) = 76*n**3 + 8*n**2 + 26*n. Let f(x) = -k(x) - 8*q(x). Find the second derivative of f(p) wrt p.\nAnswer: -456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41336.38 micrograms to milligrams.\nAnswer: 41.33638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/(-2*1\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6684 + -6684.5. Which is the biggest value? (a) -12 (b) 2 (c) -3\/11 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z + 1. Let p be q(1). Let a = 23 + -14. What is the least common multiple of (-2)\/p + 84\/22 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 27 = -103. Put g, -2, 5, 0 in increasing order.\nAnswer: -2, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.237096 to 4 decimal places.\nAnswer: -0.2371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -55. Let r = -37 + g. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1049, 1041, 1027, 1007?\n\"Answer: -3*f**2 + f + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -16. What is the third smallest value in c, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5019901\/156 - -32178. What is the common denominator of -42\/5 and q?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -152, -379, -712?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*f**2*h - 3418*f**2 + 3119235*h with respect to f.\nAnswer: -332*f*h - 6836*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8237\/5 or -1647?\nAnswer: -1647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 687940995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 33146720?\nAnswer: 99440160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6308 or 6315?\nAnswer: 6315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {v: 3, s: 13, x: 2}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-243170)\/300*5*-6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {u: 2, k: 2, i: 5, z: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861, -1724, -2587, -3450, -4313, -5176?\nAnswer: -6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q. Let y(d) be the first derivative of d**2\/2 - 2*d - 57. Let s(z) = 4*z - 4. Let r(h) = s(h) - 6*y(h). Determine m(r(k)).\nAnswer: -14*k + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(36\/(-9)) + -4. Solve -11*d + i - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1405)\/1686 - (51\/(-15))\/(18\/(-165)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.352712 - 50792.3527\nAnswer: -50791.999988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 663600 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 61 = -19*n + 4*s, 3*s = -n + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3\/5 (c) 0.36 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 + -0.65. Which is the closest to k? (a) -1\/3 (b) 2\/19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 25*v**2 - 78*v**2.\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 17*c = 2*b + 614000, 4*c - 5*b + 2456000 = 0. What is c rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -781.6, 21\/2?\nAnswer: -781.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/10927 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h - 7. Let z(t) = -25*t - 15. Give -13*g(m) + 6*z(m).\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14*(-21)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in years?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -4*m, 38 = -0*t - 2*t - 2*m. Let v = -7 - t. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 824.0971ml?\nAnswer: 0.8240971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351637 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/(-10))\/(-4))\/((-2)\/4*24768\/(-720))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*g + 6*q + 183, -5*q = -5*g - 165. Let a = 124 - g. Calculate the remainder when a is divided by -41 + (-19 - -96) + 4.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by -118?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.94259 - 5.057468. Let y = p - -44. What is y rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1262 - 41641\/33. Calculate the common denominator of -61\/15 and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-92) - 275\/253. Sort l, 14, 0 in descending order.\nAnswer: 14, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -420 + 419. Which is the second smallest value? (a) -0.3 (b) t (c) 0 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 50501555?\nAnswer: 50501555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8*v + 1)*(v + v - 4*v) - 4*v**2 + 3*v**2 + 5*v**2 to j*v + m*v**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709037021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 142.8. Round r to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2\/3, 0.5, 216, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3377, 14231, 32303, 57599, 90125, 129887?\n\"Answer: d**3 + 3603*d**2 + 38*d - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 7 = -m. Suppose 0 = 4*g + 2*x - 10, -3*g + 0*x + 5 = 4*x. Suppose -78 = -g*a + a. Calculate the highest common factor of a and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 - 95*j**3\/2 - 2875*j**2\/2 - 28125*j\/2.\nAnswer: -j*(j + 25)**2*(j + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)\/o**8)**(-23\/2)*(o**5*(o**(-1)*o)\/o)\/((o\/o**(-2\/3))\/o*o*o**(-1\/13)\/o) assuming o is positive.\nAnswer: o**(16811\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*o + 3. Which is the nearest to 0? (a) o (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997 is divided by 832?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -16 in descending order.\nAnswer: 5, 3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 9*f + 4. Let i = -314 + 307. Give p(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -3.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29245634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 606*h**2 + 196*h - 288*h**2 - 309*h**2 as v*h**2 + m*h + d and give m.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3. Let l be w(-5). Let p = -21 + l. Let g(v) = p + 2*v + 4*v + 2. Determine g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 0.4, 43\/5, -2\/7?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634400.3 centuries to millennia.\nAnswer: 63440.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29284, -58568, -87852?\n\"Answer: -29284*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -79, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l + 39*l - 3*l**2 - 54*l - 173 in the form n*l + u*l**2 + r and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614199391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from xlwjs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -32818*z - 951720. What is t(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (177\/15)\/((1\/(-2))\/((9945\/78)\/51))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/3)\/((-4)\/20). Solve 0 = 2*r + 5*m + 10, 0*r + 2*m - o = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 20*c - 46*c - 27 + 38*c - c**2. Calculate the lowest common multiple of r(8) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -863230.5455 to the nearest ten.\nAnswer: -863230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3320325 - -1?\nAnswer: -3320324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3827001 bigger than -3827001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - -6)) + (9 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 78*c**2\/5 + 756*c\/5.\nAnswer: 2*c*(c - 21)*(c - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a**2 + 3*a + (0*a + 4*a - 5*a)*(2*a - a + 0*a) - 29*a**2 - 6*a**2 + 15*a**2 - 2*a**2 + 5*a**2 - 4*a**2.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/18 (b) -2\/25 (c) 1 (d) 0.133 (e) -29 (f) 0 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 18 - 33. Let w be v + -2 + 4 + 5. Suppose -w*b - r + 453 = 0, 0*b + r + 555 = 5*b. Calculate the greatest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323 by -4.\nAnswer: 323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 4. Suppose 0 = x - 0 + 6. Let b be r(x). What is the units digit of (-204)\/(-26) - b\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -23 + (109 - 86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 5*k**4 + 0*k**4 + 3*k - 16*k**3 + 190 + 14*k**3 in the form i + a*k**2 + w*k**3 + u*k + m*k**4 and give i.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036*0.2164.\nAnswer: -0.0077904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:19 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5600 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/16)\/60*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145921?\nAnswer: 337, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 24 - 56 + 32 + 3*v.\nAnswer: -7*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 18. Let l be b(-6). Suppose -2*a = -5*g + 14, 11*a + 10 = l*a. Let k be -1 - (-5)\/(2\/2). Solve g = -2*h - k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -42*((-6)\/(-3))\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**(-1\/28)*((v**(-6\/5)\/v)\/v)\/v**10 assuming v is positive.\nAnswer: v**(-3701\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.2 + 24.9. Put 2\/11, q, 1 in decreasing order.\nAnswer: 1, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12.93. Let n = 27 + -30. Let a = 7.3 + -7. Sort n, f, a.\nAnswer: n, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22213322 - -13?\nAnswer: -22213303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(4\/((20\/(-55))\/(23\/(-3542)*7)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -254, -1, -5, 1, 11.\nAnswer: -254, -5, -1, 1, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.2133 hours to milliseconds.\nAnswer: 177167880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1002*b - 6. What are the prime factors of u(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:02 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25824, -25826, -25830, -25836, -25844, -25854?\n\"Answer: -s**2 + s - 25824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:51 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-4)\/(-56))\/((-20)\/14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 440 + -435. Suppose 5*y = m*p - 830, 0 = -y - 7 + 2. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 34 + h + 41*h**2 + 16.\nAnswer: 41*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 60. Suppose -2*g + j = 2. Let i(s) = -g + s + 15 - 1. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u = -50*u - 1924 + 5752 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**4 - 2*y**4 + 16*y + 36*y**4 - 16*y + (3*y - 1 + 1)*(y**3 + 0*y**3 - 4*y**3).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4341 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -31. Calculate the smallest common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (2 + -2))\/(-2). Suppose -12*x = 28*x - 120. Factor 0*q + 1\/2*q**2 + 0 - b*q**4 + 0*q**x.\nAnswer: -q**2*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -11\/624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let o be p(1). Let a = o - 7. Let n = a + 18. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:25 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/60 and 43\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {x: 1, d: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -95\/3. Which is the third smallest value? (a) -3 (b) n (c) -0.8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 20. Suppose 4*o - x = 3. Solve m - 6 = -o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 8*a + 31. Let j be d(3). Sort 2, 4, j.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 7*f - 6. Let a be g(4). Let d(l) = l - 1. Let p(z) = 8*z - 5. Determine a*d(u) - p(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 2\/9. Suppose m*d = 5*d + 30. Let b = d - -18. Calculate the least common multiple of 14 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -190468*l + 3. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3829168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2\/5 - 169914*v\/5 + 169917\/5 = 0.\nAnswer: -56639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 1. Let r(a) = -71*a**2 - a + 3. Give -r(z) + 2*v(z).\nAnswer: 69*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 + 7*q. Calculate w(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**3 - k**3 - 2*k**2 + 4*k**2 - 2 - k + 2*k**4 - 2*k**3 to p*k**3 + q*k**2 + v*k**4 + d + l*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4591 (b) 2110 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1125172*f**3*v**3 + 2993*f**3*v + 3*f**2*v**2 - 40*f**2*v wrt v?\nAnswer: -6751032*f**3*v + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 2*l**4 + (-l - 3*l + 3*l)*(0*l**3 - l**3 + 0*l**3) + 9*l**2 - 3*l**4 - 9*l**2 as n*l**4 + b*l + q*l**3 + s*l**2 + a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1228 - -2093. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6471110646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/883116 and -23\/40885?\nAnswer: 4415580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1047315 divided by -127\nAnswer: -1047315\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 1. Suppose 1 = -5*x + 6. Let s be u(x). Let b(g) = -s*g + 2*g + 2*g + 2*g. Let a(c) = -2*c. What is a(b(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(7*b**3 - 5*b**4 - 7*b**3)*(b - 4*b + b).\nAnswer: 30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208053 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 757 - 755. Sort -4\/7, x, -4, -4\/3 in increasing order.\nAnswer: -4, -4\/3, -4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeemzszemmx. Give prob of sequence xm.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 2. Let o be f(-5). Is 10 a factor of ((-7)\/(-3))\/(o\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwkkkw. What is prob of sequence kk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -9*w**2\/2 - 6*w + 1. What is the first derivative of l(o) wrt o?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 4*x = 2*x. Let p = -100 + 152. Let v be ((-6)\/p)\/(12\/16). Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*f + 0)*(379*f - 358*f + 54 - 51 - 129) in the form r*f + p*f**2 + u and give r.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 3. Let h = 167 + -164. Let p be (1\/2)\/(2\/(-4)). Let w(c) be the third derivative of -c**4\/24 - c**3\/6 + c**2. Calculate h*w(t) + p*k(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + 6. Suppose -39*r + 13*r + 10*r = -14*r. Solve 0 = -4*j - s*l - r*l + 20, 0 = l - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + b - 12*b + 2*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 734. What are the prime factors of x?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460 + -256. Suppose 4*d + 200 = -4*h, 2*d + 3*h = -2*d - r. Find the common denominator of (414\/d)\/((-28)\/30) and -25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 24*h. Let m(p) = -81401*p. Calculate f(m(k)).\nAnswer: -1953624*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-2))\/(1025\/(-123)))\/((-3)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2450838446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.9+39945246866\nAnswer: 39945246871.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2214, -2496, -2968, -3630, -4482, -5524?\n\"Answer: -95*x**2 + 3*x - 2122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(35\/6) - 1012\/(-935)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/3 - i**3\/6 - 7*i**2 + 61*i. What are the prime factors of r(10)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.39509mg to micrograms.\nAnswer: 75395.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 138a + 3ed2?\nAnswer: 525c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (1664\/(-130) - -36).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9385853 times -0.3\nAnswer: -0.58157559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 3*g, -11*b + 8*b + 3*g + 39 = 0. Suppose 0*k = -2*k + 6. Suppose -2 = -3*r - r - q, -4*q = k*r - b. Solve 2 = -2*o - r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.3950897 to 2 dps.\nAnswer: 128.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14 + 2*g + 0*g - g. Calculate the smallest common multiple of 3 and h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2442 and -79\/1452.\nAnswer: 53724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79953879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21318 = -6*f. Suppose -2*p + 3*t + f = -7126, 0 = -5*p - t + 22677. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, w: 2, h: 2, z: 4, d: 1, y: 1}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2570766 and 60?\nAnswer: 25707660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 126 = -5*s, -5*f - 36 = -s - 0*f. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t*(t**3\/t*t)\/t*t)\/t)**(8\/17) assuming t is positive.\nAnswer: t**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629720 to the power of 1\/2, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*m**2 + 38*m - 70773 + 141544 - 70771 to the form f*m**2 + q*m + t and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2\/617, 0.17, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 225860540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 - (-178)\/(-6). Let t = -23334 - -23307. Which is bigger: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1163*p + 1161*p + 16 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -22. What is the nearest to 0.1 in 1\/3, 179, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y + 340. Determine i(-29).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zduzdzdzuzdddd. Give prob of picking 3 d.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4*(-9)\/72)\/((-1)\/12). What are the prime factors of 8\/(-6)*1575\/p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57689 and 57696 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -16. Let z(m) = 69*m - 40*m - t*m. Let n(d) = -2*d + 17. What is z(n(a))?\nAnswer: 10*a - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z - 15*z - 4661 = -3*z. Solve 0 = z*r - 28 - 209 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 3. Let n(z) = -35*z - 28. What is -3*n(h) + 28*s(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/40 - 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*n**2\/7 + 964*n\/7 - 456\/7.\nAnswer: 4*(n + 19)*(13*n - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -2. Let x(u) = -u**3 - 10*u**2 - 8*u + 5. Let a be x(v). Let s be ((-20)\/6)\/(a\/6). What is the greatest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.117 + 45.8. Round a to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from xyyfyxujuxyyy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 163 + 12952*r**2.\nAnswer: 12952*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, -3\/2, 1 in decreasing order.\nAnswer: 1, -3\/10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/60 + p**4\/24 + p**3\/2 - 7*p**2\/2 - 5*p. Let h(g) be the first derivative of s(g). What are the prime factors of h(-8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 4*l, 0 = -3*l + 2*l + m + 4. Differentiate 62 + 82*h**2 + 76 - l*h + 5*h wrt h.\nAnswer: 164*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.559518283 rounded to four decimal places?\nAnswer: 1.5595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*a + 14, -2*a + 10 = 3*d - a. Suppose 0 = -2*z + 3*i + 961, 3*i = -d*z + 1048 - 105. Suppose -2*o - 157 = -n - 0*n, -3*n + z = -o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let h = k - 3. Let w = 7273\/2 - 3637. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -11\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-2 - sqrt(190))*-3)\/sqrt(10))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = g - 4*y + 22, -5*g - 26 = -y. Let f(p) = p**3 + 5*p**2 - 8*p - 8. Calculate f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/(-100))\/((-5)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 2*t)*(-4 + 1 + 1) + 9*t + 6*t - 2*t + (0 + 0 + 2)*(3*t - 3*t + t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4135015278 and 2322?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*16\/(-136952)*(-1530)\/(-60)*8\/(-6)?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*g = 40, 0 = -2*z - 0*g - g + 40. Suppose 0 = 4*l + 3*p - z, -4*l = 2*p - 7 - 13. Let d = 23 - l. What is the lowest common multiple of d and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/2 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7557.\nAnswer: 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4163.9 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/210 + 278*h**5\/105 + 3266*h**4\/7 + 25392*h**3\/7 - 2077*h**2. Find x such that s(x) = 0.\nAnswer: -138, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293159 is divided by 1765?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16.00000011. What is h rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1170000 and 41\/26000?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 20*f - 24. Let u be f\/(-6) - 48\/(-36). Solve u = -2*v - 7 + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**2 + 0*n**3 + 0*n**5 - 1\/12*n**4 + 0*n + 9\/40*n**6 + 0. Find the second derivative of x(m) wrt m.\nAnswer: 162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*u + 6. Solve -5 + u = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4 - 14 - -2 - (1 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6032 = 5*z + 31907, 5*z + 10353 = 2*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.22 and -0.485332.\nAnswer: -1.56276904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373518?\nAnswer: 2, 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 8*q + 84 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 5*k - 25490*k**2 + 25965*k**2 + k**3.\nAnswer: k**3 + 475*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/((-840)\/(-108)))\/((-63)\/24).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3871.85 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -3 - 1)*-4. List the prime factors of (52 - r - 2) + -1*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.4 + 6.313. Let j = a + -0.113. Put -2, j, 3 in descending order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45917 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171618876 by 442.\nAnswer: -388278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-57)\/133)\/((-297)\/(-154)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812864.8 micrometers to millimeters.\nAnswer: 812.8648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2001?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11807.6 and -25.2.\nAnswer: 297551.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*q + 2\/5 - 2\/5*q**2 + 1\/5*q**3.\nAnswer: (q - 2)*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/292*(21\/(-65) + 191\/191) and 1\/52.\nAnswer: 3796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 + 4*o + 3. Let m be r(6). Suppose 0 = 5*b - 2*b - m. Suppose -2*n + b = 5*v + 1, 0 = -v + 2*n + 4. Solve -4*p - 10 + v = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 13*i**2 + 16*i - 13. Let j be d(14). Suppose -j*u + 3*u = -2352. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*t**4 - 158*c*t - 127*c + 1 wrt t?\nAnswer: 8*c*t**3 - 158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 6811, 40.\nAnswer: 2, 3, 40, 6811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - 105\/(-10). Let g(j) = j**2 - 8*j - 9. Let m be g(q). Suppose -3*h - 2 = -m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 11. Let k(n) = 1. Let i(t) = -f(t) + 2*k(t). Let y be i(10). Let m = y + 21. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t + 69. Let d be s(4). Find the second derivative of -20 - 7*u + 27 + d*u**2 - u**2 wrt u.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + ((-3233)\/183 - 4\/3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 2 + sqrt(204)\/sqrt(3) + 0)**2 + (2*sqrt(2448) + sqrt(1088) + -2)**2.\nAnswer: -112*sqrt(17) + 17688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -276. Suppose -2*i - 2*i + z = 0. Let k = i - 16. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**3 + 3*g**2 + 219*g + 220. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066755451?\nAnswer: 3, 1022251817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -378033 bigger than -5292443\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 18*k - 15. What is n(18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.98 - 27.9. What is l rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 136?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 5. Let v(a) = -4*a + 6. Let o(b) = -3*d(b) + 2*v(b). Let m be o(3). Suppose m*x = -3*x + 21. Calculate the remainder when 19 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(25\/6))\/(105\/525). Suppose 8*o - 9*o - z = -2*g, 5*g = 4*o + 18. Solve 2*f = -5*v - 24, g*v - 3*f + 2 + 0 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 311796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = -p, -4*p - k - 8 = 27. What is the closest to p in 2\/13, 6\/13, 2\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4556031 litres?\nAnswer: 455.6031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51894247*p + 73614028 wrt p.\nAnswer: -51894247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = 12*f + 113. What is the remainder when f is divided by (-17)\/(-2) - (-38)\/(-76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1082386772399 and -0.2.\nAnswer: -1082386772399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3662859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 2*y + 84. Suppose y = 5*i - 16. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -k - 176, 0*w + 4*w - 132 = 3*k. Let v = -25 - -17. Let u be (4\/v)\/((-3)\/144). Calculate the highest common factor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d. Let r(j) = j + 3. Calculate r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6208.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 22. Let w(y) be the first derivative of y**3\/3 - 5*y**2 + 2*y + 26. What is w(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 2, -0.3, 22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10364962 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 14*h + 4. Let n(y) = -2*y**2 + 11*y + 3. Let p(i) = -3*a(i) + 4*n(i). Let g(s) = -3*s. Give p(g(v)).\nAnswer: -18*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 13.3, -1\/7, -19.9, 13 in ascending order.\nAnswer: -19.9, -0.3, -1\/7, 3, 13, 13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/42 - 6 - (-20)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45518315243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 35 = -3*i - 5*n, -4*i + 23 = n. Let h = 621 - 619. Suppose 15 = 3*b + h*o, -5*b + 4*o = -2*b - 15. What is the remainder when b is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/3669840 and -191\/924.\nAnswer: 282577680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**3 - 10*m**2 - 27*m - 25. Let b(q) = -6*q**3 + 10*q**2 + 28*q + 28. Let u(n) = -6*b(n) - 7*h(n). Determine u(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 5*k + 210, 20 = -4*k. Let z(l) = -76*l**3 + l + 1. Let r be z(-1). Let o = r - q. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t**2. Let d(x) be the second derivative of x**6\/90 + 53*x**3\/3 - 2*x + 1. Let r(y) be the second derivative of d(y). Give c(r(j)).\nAnswer: -320*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 + 5*a**4\/24 - 2*a**3\/3 + 2*a**2. Let k be i(5). Let w = 5 - k. Calculate the least common multiple of 7 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2951008, -2950995, -2950982?\nAnswer: -2950969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 0*s**2 + 0*s**2)*((-8*s - s + 2*s)*(1 + s - 1) + 0*s**2 - 6*s**2 + 4*s**2).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 5089*s**2 + 67425*s - 1 wrt s?\nAnswer: 12*s + 10178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 7185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 5*j + 7. Give u(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 972*s + 1225. Let a(k) = -972*k - 1259. Let j(u) = -2*a(u) - 3*f(u). What is the derivative of j(l) wrt l?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/30 - 11*z**4\/12 - 8*z**3 + 2*z**2 + 62. Factor t(m).\nAnswer: -2*(m + 3)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o**(-2\/19))\/((o\/o**(-10))\/o**2) assuming o is positive.\nAnswer: o**(-325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/44*10 + -26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9635, 19273, 28911, 38549, 48187?\n\"Answer: 9638*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -26*i + 81. Solve i*q - 4*q = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 20*f**2 - 2*f + 26. Let k be g(10). Let y be ((-6)\/(-9))\/(1\/3). Suppose 5 = y*u - 1. Solve b - m + 0*m = -k, u*b + m = -10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-4) - 1958\/187) + 4. Is -9 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -242637952124.\nAnswer: 242637952123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1381, -2762, -4143, -5524, -6905?\nAnswer: -8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.3. Let q = -27.36 - -27.66. Which is the nearest to q? (a) 0.4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 2, w: 1, r: 1, v: 1, a: 2}. What is prob of picking 1 w, 1 k, and 1 r?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 57 = -17. Suppose 0 = -3*m - m - b. Put -1, m, -5 in decreasing order.\nAnswer: -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3 - 2) + 1. Suppose -u - 6 = q. Let k be (2\/(-4))\/(1\/q). Solve 0*l + k = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.51 + 5.51. Let h = -145 - 51. Let i be (42\/h)\/(2\/(-4)). Which is the third smallest value? (a) -0.3 (b) k (c) -0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 at least -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-1050)*-265 + 22\/(4 - 2).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgfodfrg. Give prob of picking 1 r and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2146716, 4293435, 6440154, 8586873, 10733592?\nAnswer: 12880311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 29946dd?\nAnswer: 29946e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2055 = -3*w, 0 = -k - 14*w + 10*w + 428. Is -2 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.07 (c) 2\/13 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.7 times 87?\nAnswer: 13371.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20720.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 113.\nAnswer: -30\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvs when four letters picked without replacement from {v: 8, s: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:31 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -42*v**3 - 9250*v**2\/11 - 34850*v\/11 - 750\/11 = 0.\nAnswer: -15, -5, -5\/231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.42 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1871614 + 1871615.000003. Let m = 6 + -7. Let p = s + m. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))**(1\/8))**(2\/9) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 31 + -26 - 914\/306?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11.8. Let b = 0.6 - x. Let j(u) = -36*u - 77. Let f be j(-2). Put b, f, 0 in descending order.\nAnswer: 0, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*(2*sqrt(75) - sqrt(75)) + sqrt(75))**2 - ((sqrt(75) - -1*sqrt(75)) + sqrt(75))**2*4) + 0)*5 + 3.\nAnswer: -13097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.1 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let h(q) = -12*q + 17*q**2 - q**3 - v - 5 - 3*q**2. Let x be h(13). Solve x*r + 5 = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -389133 in -0.13, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - u**2 - 8 - u + 2*u. Let g be (-10)\/1 + 12\/3. What is m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Suppose -2*n - 5*o - 513 + 2795 = 0, -5*o + 5735 = z*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*q - 132 = 0. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) + (-5)\/(3450\/(-1249)). Let h = 22\/23 + c. Find the common denominator of h and 73\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960666?\nAnswer: 2, 3, 7, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 12*l + 4. Let h be ((6 + -6)\/(-2 + 0))\/l. Let s(d) = h*d + 2*d - 8*d - 5*d. Determine s(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691649 is divided by 524.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -4 (c) 2\/13 (d) 60\/61 (e) 8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**8*v*v)\/(v\/(v**(2\/43)\/v))*v**(-29)*v**(-1\/7))**(-1\/12) assuming v is positive.\nAnswer: v**(6049\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 1 + 7, -4*i = 2*t + 1613 - 1589 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(343) + -3 + sqrt(343) + 5)**2.\nAnswer: 56*sqrt(7) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/435)\/((-238)\/(-765))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v. Let j(r) be the second derivative of -2*r**3\/3 + r**2\/2 - 9*r - 43. Give d(j(o)).\nAnswer: -60*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -448*a + 16158. Let n(x) = -90*x + 3230. Let s(o) = 2*h(o) - 11*n(o). Find the first derivative of s(u) wrt u.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + q + q + 4 = 0, q = 3*o - 4. Suppose -5*u = -2*b - u + 6, -o*b + 15 = -u. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o - o)*(2 - 6 - o + 1).\nAnswer: -4*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ad3 (base 16) to base 2\nAnswer: 101011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a89d (base 15) in base 3?\nAnswer: 11101102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 5. Let t be z(-8). Suppose -b = -t*b + 20. Calculate the remainder when 38 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) - 4*sqrt(12)*-1).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2. Let q(i) = -1664*i. Determine q(f(g)).\nAnswer: 3328*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 342584 (base 10) to base 7\nAnswer: 2624534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/35 and (-2 - -1) + 1 + (-102)\/(-480).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {a: 3, k: 1, e: 5, r: 2, f: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001309762 to 6 dps.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19)\/(i*i*i**8))\/((i**(-2\/47)*i)\/(i\/(i*i*i*i**(-20)*i))) assuming i is positive.\nAnswer: i**(-609\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2816)*-2)**2.\nAnswer: 45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 + 378*m + 379 = 0. Calculate m.\nAnswer: -1, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 2. Let f be o(3). Let l(b) be the third derivative of b**6\/120 - b**5\/15 - b**4\/24 - 2*b**3\/3 + 1235*b**2. Determine l(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*j - 1081 - 4895 = 1066 + 1454 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/42 + 73*t**6\/120 - 21*t**5\/20 - t**3\/3 - 391*t**2. Find the third derivative of s(b) wrt b.\nAnswer: -120*b + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50771.1437 to the nearest 10.\nAnswer: -50770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 11)\/((-2)\/(-4)*1). Suppose -x*v + 132 - 36 = 0. Calculate the least common multiple of 18 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -24. Suppose -h*j + 4 = -j. Let -7*d**3 + 5*d**2 - 2*d**j + 4*d**3 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-362)\/(-10) - (-8)\/(-40). Suppose -5*p + 3*t = -0*p - 69, 4*p + 4*t - u = 0. Suppose 1 - p = -f. What is the remainder when 30 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8) - (-235)\/2. Suppose -5*k + o = -122. Suppose -4*x - 1 = z, 2*z + 2*x = 4*x + k. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31365?\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/13, -3, -4, 0.1, -15, -0.4, -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55802680 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, i: 3, k: 1, p: 1}. Give prob of picking 1 i and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10054480*g**3*k**2 + g**3*k + 1172341*g**3 - 2*g**2*k**2 - g**2*k + 2*g**2 + 2*g*k - 2 wrt k.\nAnswer: 20108960*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -23*n - 5. Does 26 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*j + 25 + 28 + 16.\nAnswer: 141*j + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -49 - 27*f - 25*f - 22*f + 45 + 68*f. Determine y(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+84789.7501\nAnswer: 84789.7601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q = -36*q + 23*q - 3198 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 92924.\nAnswer: -7\/92924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 95 = 7*i. Suppose 3*c - 2*q - i = 0, -5*q + q + 12 = 4*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26734 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 6. Let t be r(0). Find the third derivative of -b**6 + 0*b**t - 7*b**2 + 5*b**2 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -4.6, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29726284 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -22*d + 520. What is the highest common factor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -4)\/(5*-4*2\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 - 1416*r + 18255. Calculate n(163).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 108\/198 - 96\/297\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 85407*l + 57675420 = 0.\nAnswer: -29129, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 - 16. Let z be -14 + (-10)\/20*-22. Suppose -2*l - 3*h = -25, h = -5*l + 8 + 22. Put f, l, z in ascending order.\nAnswer: f, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*i**3 + 66*i**2 + i + 4137 wrt i.\nAnswer: -69*i**2 + 132*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 968853.4l?\nAnswer: 968853400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43ee (base 16) to base 9.\nAnswer: -25762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -237, -356, -475?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 o when three letters picked without replacement from ooirwiooo.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1255 + -1250. Let r = -271\/6 - -45. What is the closest to 2 in r, 6, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194590 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 70 + 2*y - y.\nAnswer: 2*y + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34474 divided by 22\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + i = -0*i + 5, -15 = -3*v - 5*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 587480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062393 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**2\/2 + 17*r + 2. Let w be y(15). Solve 4*m + 4*q + 8 = -8, -q = -w*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26 - (-2 - 1)) + 2. Let s = 33 - c. Suppose 4*n - 354 = -s*h, -5*n + 165 = -0*h + h. List the prime factors of h.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2818*p = -4297*p + 718*p + 626906 for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71539.38l?\nAnswer: 71539380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 23*u. Let n(r) = 27*r**2 - 10*r**2 - 7*r**2 - 9*r**2. Determine n(d(h)).\nAnswer: 529*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 976*z + 122. Let s be u(4). Suppose 0 = 19*f + 3*f - s. Calculate the highest common factor of 122 and f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -8*k + 23*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110676.5 and -2145.7?\nAnswer: 112822.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759166, 759165, 759164?\nAnswer: 759163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 46, 35, 20, 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:36 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1 (c) 0.5 (d) 16 (e) -2\/65 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -4\/3*f**3 + 1\/4*f**4 - 5 - 1\/2*f**2 + f. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4314 rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(2\/3)\/i))\/i)\/i)**(-17)\/(i*i*i**0*i*i*i*i)**14)\/((i**(-1))**(-2\/13)\/(i**(-1))**(1\/7)) assuming i is positive.\nAnswer: i**(-19919\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6518037 - 6518025.800236. Let p = 10.315 + 0.885. Let m = l - p. Round m to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzhkqjzqkqjzsq. Give prob of picking 1 k, 1 z, 1 q, and 1 s.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1328 - -759. Let d = i - -576. What is the greatest common divisor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381157123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -9\/640 (c) 0 (d) -4 (e) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - -51. Let p = -48 + z. What is the first derivative of -26 + 66 + 13*y - p wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1416.\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**2)**(-6\/5) assuming s is positive.\nAnswer: s**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-15)*f)\/f)\/(f\/(f*(f*f\/f**(8\/5))\/f*f)))**(-17) assuming f is positive.\nAnswer: f**(1241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s - 2988. Suppose 3*w - 771 = -4*c, -3*w + 4*c + s = -0*w. Find the third derivative of 7*l**2 + 249*l**4 + 6*l**2 - w*l**4 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 - 4*y - 8. Let g = -588 + 578. What is the units digit of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2 + 136*c + 57408 = 0.\nAnswer: -104, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:57 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 462283.227ns?\nAnswer: 0.0000000007643571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, 458, 1408, 3224, 6194, 10606, 16748, 24908?\n\"Answer: 48*f**3 + f**2 + 33*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -558757 (base 9) to base 3\nAnswer: -121222211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:53 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - (-20 + 37 + -25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (5 + (-5 - 1)). Suppose -7*d + 5*d + 1211 = -t*w, 5*d = 4*w + 3002. What are the prime factors of d?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, 197, 5, -9, -2, 0 in ascending order.\nAnswer: -9, -3, -2, 0, 5, 27, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -434603306.8 rounded to the nearest 1000000?\nAnswer: -435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. What is the tens digit of (-15)\/((-12)\/(-16)*d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -5*n**4\/3 + 14*n**3\/3 + 127*n. Find w, given that i(w) = 0.\nAnswer: 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -16*z + 19*z. Suppose -z*m + 1836 = m. Is m a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24930489 take away -0.066?\nAnswer: 24930489.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbivvmbimmvimbvi. Give prob of picking 1 m and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:31 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 16. Suppose -l*z = -0*z. Find the third derivative of -5*n**2 - 2*n**4 + z*n**2 + 32 - 32 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 6 + -65 + 46?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppsspssvvsspppspsv. Give prob of picking 1 s and 2 p.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 680\/3. Let i = 5 + -3. What is the nearest to i in 0.1, -4\/3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19652\/18 - 4\/(-18). Suppose -10*l + u = -3*l. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 12. Let c(w) = -2*w**2 + 3*w + 4. Let s be c(3). Let q be a(s). Let k = q + 8. What is the remainder when 41 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321311 (base 4) to base 14\nAnswer: 14c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07689 to three dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 1 + 1)*(6*c - 23*c - 12*c - 29*c).\nAnswer: -58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b + 3. Let z(j) = 3*j**2 - 4*j - 8. Calculate 8*a(p) + 3*z(p).\nAnswer: p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let y be 3 - (z\/(-12) + (-51)\/(-18)). Suppose y = -25*k + 20*k + 285. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - z - 7. Let v be w(-5). What is the closest to v in 1, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*l - 2 - 274*l + 546*l.\nAnswer: 631*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(21\/882*3420 - 69)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8305129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50285 + 91739*j**3 - 50285.\nAnswer: 91739*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 30. Let r = 19\/3 - 7. Let s = 0.2 - -0.3. What is the nearest to r in 2, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836353655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h = h - 22, 0 = -4*p + h + 24. Let u(a) = 3*a**3 - 4*a**2 - 7*a - 17. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i**3 - 241*i**2 - 36*i - 25. Let k(a) = 13*a**3 + 121*a**2 + 16*a + 11. Give 9*k(z) + 4*q(z).\nAnswer: 9*z**3 + 125*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2 + -3*sqrt(117))**2 - sqrt(117)) + (-5*(2*sqrt(117) + sqrt(117))**2 - sqrt(117)))*-6*-5.\nAnswer: -126240 + 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 4*s + 3, -b = -5*s - 10. Let a be 6\/4*(-2)\/3. Sort b, 2, a in ascending order.\nAnswer: b, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10729 - -10709. Let d = -4.2 - 0.8. What is the third smallest value in d, -1, f, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298\/15*v - 236\/15*v**2 + 26\/15*v**4 + 2\/15*v**5 + 4\/3*v**3 - 22\/3 = 0 for v.\nAnswer: -11, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/(-10))\/(10\/(-25)) and (11\/7 + -1)\/(7\/49)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7913604 and 39.\nAnswer: 102876852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4967, -19899, -44785, -79625, -124419?\nAnswer: -179167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 4. Let g be q(-7). Let r(a) = -a**2 + 5*a + 1. Let v be r(g). Solve 5*y + 3 + 12 = 0, v*m - 4*y = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-324013.4\nAnswer: 1296053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (49 + -50) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -484339 + 7746845\/16. Let t = 163 + h. What is the common denominator of t and 87\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62761, 125521, 188281, 251041, 313801, 376561?\n\"Answer: 62760*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*(-1 - 9). Let m be 48\/(-22) - h\/2. Let o = 0.04 - 0.34. Which is the biggest value? (a) m (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -223*a**2 - 18*a - 84. Let g(o) = -1116*o**2 - 96*o - 420. Let k(s) = 16*b(s) - 3*g(s). Differentiate k(t) with respect to t.\nAnswer: -440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -58, 2\/9, 40, 2, -2\/9, 0.023?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.57 and -0.084.\nAnswer: 0.04788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from naxuxfuafxxuuoaxouux?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.063 + 0.463. Let v = 4.6 + -0.6. Suppose 4*g - 2 = -14. Which is the biggest value? (a) k (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 2 - (-3 + -2 + 69 + -69)) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.32 in -2\/13, -2, 242.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 142. Suppose -u*a + y + 4 = 0, 3*a = 4*a + 4*y + 3. Let p be (-2)\/(-5)*20\/(-188). Is p <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14175 divided by -525.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 13*m**2. Let j be -1 + 1 + 6\/(-6) + 3. Suppose 11*s = -3*k + 12*s + 25, -8 = 2*s. Let c(i) = -4*i**2. What is j*n(h) + k*c(h)?\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 59. Let n be 4\/3*(-42)\/4*(448 + -449). Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (-2 - 6) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.7. Let h = 2.9813 - -0.0187. Which is the nearest to h? (a) -3 (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/11, -13, -396?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2\/9*j**2 + 532\/9*j - 35378\/9 = 0.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -219, -305, -373, -417, -431, -409?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) - (1 + -11 + 7). What is the fourth smallest value in -11, h, -5, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1058 divided by 6.\nAnswer: 529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -240 - -254. Suppose 3*g - 2031 = 10*m - h*m, 4*g - 4*m = 2680. What are the prime factors of g?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3286 is divided by 234?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -5 - 7*-1. Let c(u) = -i*u + 20*u + 2 - 13*u + 0. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/18)*h**(2\/15)\/h)\/(h**(-3)\/h*h\/h**(-3)) assuming h is positive.\nAnswer: h**(-73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 207907\nAnswer: 124744.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 10. Let m(z) = -2*z**3 + 11. Suppose -14*a = -21*a - 21. Give a*m(q) - 4*h(q).\nAnswer: 2*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*p - 2*w, -4*p - 30 = 4*w - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/840*(-48)\/56?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 186*r**2 - 72*r - 204. Is 86 a factor of y(94)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 - 64*k**4 - 176*k**3 + 712*k**2 + 180*k - 648 = 0. Calculate k.\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:07 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 + 6 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**3 - 4*b + 13. Let p(m) = -m. Let r(g) = -a(g) + 4*p(g). Differentiate r(d) wrt d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 14*o**4\/3 - 8*o**2 + 816*o. Let l(q) = 19*q**2 - 5. Give -16*l(y) + 5*x(y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19285 is divided by 1782?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 2*s)*(-5*s**2 + 5*s**2 + s**2) + s + 4*s**3 - 49*s**3 + 6*s**3.\nAnswer: -37*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((8\/18)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkswffhlssl. What is prob of sequence fhlw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1730259 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 891.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1274 and 71\/42042.\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, w: 1, a: 1, i: 1, x: 2}. Give prob of sequence lap.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*1511.213.\nAnswer: -43825.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 24 = -4*p. Let l(n) = -n - 4. Let b be l(0). Let j = p + b. Solve 2 = j*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**5 + 182*z**4 + 19*z**2 + 8. Let f(a) = -5*a**5 - 61*a**4 - 6*a**2 - 3. Let w(x) = -3*d(x) - 8*f(x). Find the third derivative of w(s) wrt s.\nAnswer: 60*s**2 - 1392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3553639*-5.\nAnswer: -17768195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15 + 3818\/498\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1695.795nm?\nAnswer: 0.000001695795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*n + 39 = 143 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 13*i - 29*i - 4*i + 54*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19\/4)\/(1 - 24\/32). Suppose 0 = 2*m + 13 - k. Suppose 45*i**2 - 3*i**m - 2*i**3 - 40*i - 5*i**4 + 20 - 15*i = 0. What is i?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10023302104 (base 5) to base 7.\nAnswer: 150546362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (218 + -192)*4\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14354*m**4 - 2*m + 6997?\nAnswer: -172248*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -304\/15, 2.\nAnswer: -304\/15, -0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3277 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 - 29*l. Let f(q) = -3*q**2 + 7*q. Determine 18*f(c) + 4*g(c).\nAnswer: -2*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21695 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -355614.24 to the nearest one hundred.\nAnswer: -355600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 2*g - 54 = 0, 4*g = -3*p + 48. Suppose -4*i = 3*a - p, 0 = i - 5*a - 8 + 26. Let s = 0 + i. Let l(z) = -3*z**2 + 4*z - 3. Give l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 115*t - 2. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiiziziilz. What is prob of picking 1 i, 1 l, and 1 z?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + v**4 - 53*v**3 + 55*v**3 - 5*v + 4*v to w*v**4 + q*v**2 + a + n*v + o*v**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 352?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 295 + -291. What is the derivative of -w*u**2 + 42 + 29 - 24 + 94*u**2 wrt u?\nAnswer: 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18452 is divided by 3064?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 482 + 3976. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + m**2 + (-3*m**2 + 2*m**2 - m**2)*(1 + 1 - 4) + (-3*m - 2*m + 3*m)*(m + 0*m + m) - 2*m**2 - 2*m**2 + 2*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*c + 115*c + 18954 = -406*c for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.57 + -231.43. Let n = g + 236.999891. What is n rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 11. Let v be b(8). Suppose -4*o + 46 = -y, 0 = 5*y + v*o - o + 120. Let n = y - -46. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (2 - -2*1). Suppose 8 = l*u - u. Solve -n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193561591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*v + 16 = 0, 6*v = -2*g + 2*v - 2. Let a be (-3 - -1) + g + (7 - -3). Let o(y) = -y**3 + 11*y**2 + 4*y - 21. List the prime factors of o(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, l: 3}. What is prob of sequence lllr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-nine halves of a microgram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379 - -456. What is the hundreds digit of (-6 - x\/22)*(-69 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 6\/205, 0, -0.3 in increasing order.\nAnswer: -0.3, 0, 6\/205, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + v**2 + 0*v**2)*(0 + 3 - 1) - 7*v**2 + 17*v**2 - 11*v**2 + 2*v to the form t*v**2 + j + z*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let c(z) = -9*z - 4. Let q(x) = -c(x) - 5*j(x). Suppose 9*h - 36 = -9. Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 359666\nAnswer: 37\/359666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760310.\nAnswer: 2, 3, 5, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 8:43 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 9. Suppose -4*u - 29 = 5*s, -4*u - 30 = -5*s - 11. Determine x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (0 + 2 - -8 - (-149 - -150)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 2380?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1 - 4*t**2 - t**3 + 0*t**3 - 4*t + 2*t**3. Let x = -13480 - -13485. Calculate q(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*l**2 + 101*l**2 + 84*l**2 - 51*l**2 in the form s + w*l + h*l**2 and give h.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:15 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48494679 to three dps.\nAnswer: -0.485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**2 + 14*k - 68. Let p be m(4). Factor -461*r + 179*r - 5*r**2 + p*r - 150 + 139*r.\nAnswer: -5*(r - 15)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5262 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436 or -435?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 0.7. Which is the fourth smallest value? (a) 15 (b) t (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29856586*g - 22807491.\nAnswer: -29856586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1\/5, 3, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 13*k**8\/3 + 142*k**5\/15 - 4*k**2 - 20. What is the third derivative of u(d) wrt d?\nAnswer: 87360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(1\/(10\/6)). List the prime factors of 47\/5 + (-2)\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55277\/12 + 4602. What is the common denominator of 27\/16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 11*l**2 + 11*l**2 + 3*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 42*x**5\/5 - 73*x**4\/3 - 702*x. What is the third derivative of c(z) wrt z?\nAnswer: 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3227840, 3227838, 3227836, 3227834, 3227832, 3227830?\nAnswer: 3227828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 12*c**3 - 15*c**3 + 45*c**3 - 9*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19099\/3 - 6368. What is the fifth smallest value in n, 4, 0.4, -5, -1.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6 and 15\/506?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.5, -3\/8, 1.2, 3 in decreasing order.\nAnswer: 3, 1.2, 0.5, -0.11, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17880244.\nAnswer: 2, 4470061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - m + 572, -c - 2*c + m + 1704 = 0. Is c a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/66792 and 51\/2420.\nAnswer: 333960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 991.00002 + -991. Round c to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*n + 62, -4*n + 112 = -5*s - 56. Suppose -900 = n*t - 42*t. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2376*y - 38604 = 56436 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 22*r + 1. Let j be d(-23). Factor 7 - 3*m**3 + 5 + 40*m**2 - j*m - 25*m**2.\nAnswer: -3*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 39879\nAnswer: -11963.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 422 - 427. Let n be (2 - -2)*(-1)\/1. Let d = n + 3. Put d, h, -3, 5 in descending order.\nAnswer: 5, d, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(45)*-3 - (sqrt(5) + 1)*-5) + 2.\nAnswer: 7 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18098, -36192, -54286, -72380, -90474, -108568?\n\"Answer: -18094*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(2*(0 + sqrt(72) - sqrt(72))*-5 + 0))**2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85383, -170765, -256147, -341529, -426911?\nAnswer: -512293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -993 + 498 + 497 - 2*f**2 + 6*f**2 as n*f + r*f**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((48\/5)\/(-3)). Let y be (414\/(-27))\/(713\/186). What is the second smallest value in d, 2\/9, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 524 + -521. What is the remainder when 15 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.985 - 0.015. Which is the nearest to -0.1? (a) 5 (b) 0.3 (c) p (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810968?\nAnswer: 2, 17, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4c1 (base 14) to base 3\nAnswer: -1022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-85) - (-337)\/30. Let g = -11 + s. What is the smallest value in g, 0.3, -2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ab8bd1 (base 14) to base 15.\nAnswer: 128bde8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(297) + sqrt(297))\/sqrt(9))\/sqrt(11).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 3381198.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 67*n + 2. Let f(d) = -202*d - 7. Let i(h) = -4*f(h) - 14*w(h). Let t(u) be the third derivative of -u**4\/24 - 1589*u**2. What is i(t(g))?\nAnswer: 130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/3 (b) -2\/35 (c) 0.49 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 3, n: 3}. What is prob of picking 1 m and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 2980*x**3 + 8960*x**2 + 2980*x - 8958 = 0. Calculate x.\nAnswer: -1493, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 7. Give u(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.071, -2\/3, 3, 1\/8.\nAnswer: -2\/3, 0.071, 1\/8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19 - 9 = 0. Suppose o = z*o - 510. What is the highest common divisor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/39360 and 137\/7530.\nAnswer: 9879360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/(-8))\/((-6)\/(-16)). Calculate the remainder when 159 is divided by ((-9)\/6)\/(m\/(-24))*-7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 1671600.\nAnswer: 3343200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3713*z - 44 = -3710*z - 5*p, -2*z = p + 38 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89, 96, 107, 122?\n\"Answer: 2*n**2 + n + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**17)**(-50)*((o\/(o\/(o\/(o*o**(11\/3)))))\/o)\/o**(-25) assuming o is positive.\nAnswer: o**(-2489\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19298*f - 9499*f - 308*f + 3*f**2 - 9491*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Let w(z) = -z**2 + 3*z + 2. Let q be w(p). What are the prime factors of (3 - q\/(-10))*5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Let d(z) = 1. Let o(s) = -4*d(s) + 5*k(s). Let p = -11 - -5. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793802 is divided by 931?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 462, 5, -54, 29, 1 in increasing order.\nAnswer: -54, -3, 1, 5, 29, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1\/9, -2, 3\/4.\nAnswer: -5, -2, 1\/9, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.02 and 0.19605238.\nAnswer: -2.82394762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 47.9999832. What is x rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 25 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -216502358389 - 0.19\nAnswer: -216502358389.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5583325 and -107.4?\nAnswer: 5583217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81524625 divided by 16723.\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 61 - 4)*(-2*a + 4*a + 0*a + (3 - 3 - 1)*(-3 + 3 - 2*a))*(a + a**2 - a) to the form g*a**2 + k*a**3 + d*a + p and give k.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2072 + 2565. What is the greatest common divisor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27843068 at most as big as 27843069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 113*y. Let r(p) = -52*p. Calculate r(l(b)).\nAnswer: -5876*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2174\/601 or -5?\nAnswer: -2174\/601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(4 - 2)\/(-2). Calculate the greatest common divisor of 12 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846571?\nAnswer: 1846571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 625499141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**16\/(a**3*a\/a**2*a*a) assuming a is positive.\nAnswer: a**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/2*(5\/3 + -1). Suppose 4*w - 17 - 55 = -2*t, 0 = 2*t + d*w - 72. Suppose -32 - t = 17*p. Sort 1, p, -1 in decreasing order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22289 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + 5*z, 4*z - 92 = -5*w - 31. Let n(s) = -6 + 14*s - 4*s - w*s. Let c(j) = -1. What is -10*c(g) + 2*n(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 40*j + 4 = -2*b, 0 = 5*j - 3*b + 34. What is the closest to 2\/7 in j, -0.2, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(325) + 0.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -669710980, -669710981, -669710982, -669710983?\n\"Answer: -y - 669710979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (8 - 29) + (-3 - -1) - (2 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6708987.\nAnswer: 3, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-13824)*48)\/(4\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 351, 354?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (1 + -3 + (sqrt(208) - (5 + sqrt(208) + -1 + sqrt(208))))**2.\nAnswer: 48*sqrt(13) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*t - 18 = 0. Solve -7 - 5 = -t*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j + 4*a - 12, 2*j + 5*a = 6. Let u be (j\/4)\/(1\/(-8)). Solve -u = 4*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 125713*t**2\/2 - 9*t + 16. Let s be g(-7). What is s rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Which is the third biggest value? (a) -2 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3, 9, 5 in ascending order.\nAnswer: -3, 2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*t = -202*t + 483*t - 2544 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37.7 * -932\nAnswer: -35136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, j: 1, s: 5}. What is prob of sequence vjs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7*f**2 + 7*f - 3. Let u be x(6). Suppose -g - 439 = -2*m, -u*g + 5 - 2 = 0. List the prime factors of m.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5472*s**5 - 2*s**4 - 7*s**2 - 202768*s?\nAnswer: 109440*s**3 - 24*s**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -15 and -1692\/121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 35, -13303 in descending order.\nAnswer: 35, 2, 0, -13303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**3\/6 - 4*t**2 - 2668*t. Let r(i) = -4 - 2 + 6*i - 2 - 1. Calculate -6*r(m) + 7*w(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 115?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y - 5. Let f be r(6). Let t = 5 - 1. What is the least common multiple of t and (40\/2)\/2 - f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a factor of 903157937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 - 1\/4*x**3 + x - 1\/16*x**4 + 0*x**2. Solve a(l) = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:52 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 120 = -7*r. Let y = -1018\/17 - r. Is -1 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49639, -99276, -148913, -198550, -248187?\n\"Answer: -49637*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1311.\nAnswer: 131.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -58962?\nAnswer: 58955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6656446 to the power of 1\/2, to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9099773 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4100310 (base 5) to base 3\nAnswer: -10100010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1. Let j(r) = r - 5. Let g(a) = 15*a - 130. Let y be g(9). Calculate y*v(d) + j(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 185 - 247 = -5*w, 272 = 3*w + 4*s. Let f = w + -86. Solve -o = f*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2244 - 461. Put 3, 4, f in increasing order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*s + 108 = -868*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t = 23*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8.2 and -1.97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -675 - -644.7. Let n = 0.7 - d. Let c = n - 45.7. Round c to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1394 and 170?\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 607\/(-126) - 4*-1 and 109\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 7*n**2 - 7*n. Let o(l) = -l**3 - l**2 + 2*l + 1. Let v(f) = a(f) + 2*o(f). Let j be v(5). Put -5, 1, j in increasing order.\nAnswer: j, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 23*x + 116. Calculate u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003764 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z**5 + 2*z**3 + (-15 + z + 24 - 13)*(-3*z**4 - 3*z**2 + 3*z**2) + (3*z**5 - z**5 - z**5)*(0 - 1 - 1).\nAnswer: -6*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g + 2. Let t(c) = -9*c - 2. Give -5*j(s) - 6*t(s).\nAnswer: 19*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 156 = 4*r, b + 6*r + 35 = r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -w + 17, -z + 2 = 3. Let k = 24 - w. What is the greatest common divisor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310622 and 676?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 976, 0, -3.\nAnswer: -3, 0, 2, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 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: Let z be 1\/2 + (-14)\/(-4). Let x(m) be the second derivative of -m**4\/12 + m**3\/3 + 3*m**2\/2 + 83*m. What is x(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*12\/(-9). What is the closest to x in -0.3, -0.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*l - 103*l + 126. Let q be (-1)\/(l + 10\/4). What is the nearest to 2 in q, -1\/4, -1\/3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 661, 990?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 38. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x + 8 = 4*k, 3*x = -2*k - 1. Let c(o) = 3*o**3 + o. Let w be c(k). Solve 0 = -2*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.3. Suppose -81*s + 46*s - 30 = -41*s. Let f = 1.3 - -3.7. Which is the nearest to s? (a) 1 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x + 3. Let z(q) = -q**2 - 21*q + 12. Let j(h) = -9*p(h) + 2*z(h). Let i(o) = o. Let k be i(2). What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 10*w**2 + 17*w - 3. Let v be t(3). Calculate the highest common divisor of 3174 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.028 and 0.1?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - 5. Let q = 2.9 + -3. Let f = 5 + -7. What is the third biggest value in q, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/5 + 36\/5*u + 3\/5*u**3 + 18\/5*u**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*i + 234*i + 238*i - 567*i - 87*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:03 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-1 - (2 - 14))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbjededne. What is prob of sequence dndb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*n - 4*n - n)*(-5 + 1 + 3) - n + 0*n + 2*n + n - 3*n + 4*n)*(-30 - 34 + 133)*(0 + 2 + 0) to the form l + f*n and give f.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8836 + 897*l - 8836)*(4 + 0 - 3)*(2*l + 0 - 1 + l).\nAnswer: 2691*l**2 - 897*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 - -233?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824944?\nAnswer: 2, 11, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 7*h - 165. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + -1 + (sqrt(117))**2 - ((-6*sqrt(65)\/sqrt(5) - (sqrt(117) - sqrt(117)*1)\/sqrt(9)) + 1)**2.\nAnswer: -356 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1297 + 1302. Solve -2*a - 1 = -3*x, 2*a - s = -5*x + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11*d - 71 = 3*n, 5*d + 0*d + 14 - 4 = 3*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2388697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 7\/(315\/(-174)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*0 + -17. Suppose -w + 5*k + 9 = 49, 4*k - 20 = 0. Let q = w - l. Solve -13 = q*o - g, -5*o = 4*g - 3*g + 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*n**6 - 2*n**4 - 2*n**2 + 79?\nAnswer: -960*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*v + 112*v = -86. Sort -0.47, 3, 5, v in descending order.\nAnswer: 5, 3, v, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12512858 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: Which is smaller: -274060 or -274059?\nAnswer: -274060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -28461 + 8636. Round g to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21297 is divided by 4252.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32723310 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2 - 2348386*r + 1378729201249 = 0.\nAnswer: 1174193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:00 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1*(-2)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.87 and -27.29.\nAnswer: -15.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = -11. Suppose p + l*h - 798 = 2*h, h + 804 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 + 5*h**2 + 39*h - 16. What is n(6)?\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k - 4. Let s be a(-3). Suppose 21 = f - 5*n, 2*n + 5 = -f - s. Let i be (-2 - f)*(-5 - 8\/3). What is the highest common divisor of 115 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42624 litres in millilitres?\nAnswer: 4426.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-288)\/(-20))\/((-1)\/5). Let u = v - -62. Let c be 2 - -1 - -1 - 0. Sort -0.5, u, -2\/21, c in decreasing order.\nAnswer: c, u, -2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 28 = 5*f, 4*f + 2*y - 3*y = 20. Let j(s) = -s**3 + 2*s**2 + 4*s + 2. Let m be j(3). Sort 7, m, f in descending order.\nAnswer: 7, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -b, 3*b + 18 = b + 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4800 - 1?\nAnswer: -4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*y - 24692, 3*y - 292*b - 24712 = -291*b. What are the prime factors of y?\nAnswer: 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let b be p(5). Suppose -n - 4*n = -b. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**6*(h\/h**(2\/7))\/h*h)\/(h**5\/(h*h**(2\/9)\/h*h*h)) assuming h is positive.\nAnswer: h**(311\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 5)*(-t + 0*t - t) + t + t - 3*t)*(-t + 2*t + t)*(-5 + 1 + 2 + (0 - 3 + 1)*(2 - 3 + 0) - 4 + 1 + 0 + 0 - 1 - 1).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5699625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -0.2799.\nAnswer: 17.7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79264661 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 22*t = d + 269 - 839, -d - 11*d + t + 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -24, 0.2, -0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1082*g**6 - 12*g**2 + 1136*g**6 - 10*g**2 wrt g.\nAnswer: 6480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 15 + -45 + -2 + 11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 7*n**2 - 9*n - 3. Let w = 128 + -144. Let b be 3 + 3*w\/12 - -9. Calculate v(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4260, -14910, -25560, -36210, -46860, -57510?\n\"Answer: -10650*x + 6390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3\/5 - 9136*l**2\/5 + 385932*l\/5 - 215136 = 0. Calculate l.\nAnswer: 3, 40, 2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 3\/((-9)\/42). Suppose -5*c = o - 37. Suppose c*j - 2 = 13. Calculate the highest common factor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 5*s**3 + 4*s**3)*(6 + 3 - 5) + s**2 - s**2 - 2*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9))**(30\/11)*((u**(-1\/3)\/u)\/u)**(-5\/4) assuming u is positive.\nAnswer: u**(425\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-390)\/15)\/(-364))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022 (base 13) to base 16.\nAnswer: 19db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -80\/3. Let j = 2\/105 + 11\/35. Factor 1\/3*v**3 + 1\/3*v**2 - j*v - i.\nAnswer: (v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 7 - -14 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 3*h - h**3 + 0*h**2 - 4*h. Let g(y) = -y**3 - 4*y**2 + 2*y + 6. Let u be g(-4). What is q(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748542 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6*f**5 + 20*f**4 + 94*f**3 + 28*f**2 - 88*f - 48 = 0.\nAnswer: -2, -1, -2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*x**2 - 5*x**3 - 23*x**2 + (x**2 - 1 + 1)*(-x + 4*x - x) + 5*x**3 - 2*x**2 + 2*x**2 + 0 - x**3 + 0 - 4*x**2 - 2*x**3 + 4*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 23*b - 114. Let p be g(-13). Let o be ((-6)\/3)\/((-8)\/p). Factor -1\/4*a**o + a**3 - 3\/4*a**2 - a + 1.\nAnswer: -(a - 2)**2*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:38 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129960 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131540 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 - 15*g**2 + 3*g - 3. Let s(f) = 26*f**3 - 74*f**2 + 16*f - 16. What is -16*r(t) + 3*s(t)?\nAnswer: -2*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 61. Put 3, -4, d in descending order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/514 and 25\/12648.\nAnswer: 3250536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 337*m + 89 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 9*j + 7 = 0. Suppose -10*x = -17*x + j. Suppose 4*z - 59 = -h, -2*h - x = -z - 5*h. Which is the nearest to -0.1? (a) z (b) 1\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*18*4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 23\/(-21))\/((-30)\/(-70)). Let s be ((-106)\/(-30))\/((-117)\/27). Let t = s - -8\/13. What is the smallest value in t, r, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 18*c + 15 = 0. Let m(n) = n - 2. Let q be m(4). Let s be 236\/(-42) - q\/(-7). Are s and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g + 4*g)*(303 - 303 + 38*g).\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 400\nAnswer: 33\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 87*z - 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 9*t + 0*n = 3*n - 120, -3*t - 5*n = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138, -1303, -4528, -10863, -21358?\n\"Answer: -175*n**3 + 20*n**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 400*t - 1195. Let l be z(3). Solve -l = -k + u, 30*u = -k + 35*u + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -589, 0.5, -1, -2, 0.895?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2303001356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*j - 10763 = 0, -2*j + 4 = 2. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 2*q + 1. Let h(a) = a**3 - a**2 - a + 1. Let m(f) = -4*h(f) - o(f). Let l(s) = 61*s - 1886. Let c be l(31). Determine m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -490, -462, -412, -334, -222, -70?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -11, 230 in descending order.\nAnswer: 230, -2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90848331\/8066480 + -5\/100831. Let l = -46\/5 - q. Calculate the common denominator of 131\/6 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -2868386\/785 - -3654. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13844790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - j + 1. Let q be v(-3). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*t - 2 + 31, -5*p - 5*t + 70 = 0. Solve p = 12*b - 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2) + 11\/(-22). What is the third derivative of -6*p**4 - 81*p**j - 32*p**4 + 11*p**2 wrt p?\nAnswer: -912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 33. Let p be x(8). Let r be 25\/10*(-8)\/(-10). Which is the third smallest value? (a) 0.3 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55575970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -7. Suppose u - 29 = -k. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 25\/1480264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m + 67*m = -3*r - 19, -2*m = -4*r - 30 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 2*l**2 + l. Determine g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -79*o + 151*o + 106*o + 168*o. Let j(v) = 15*v. What is f(j(l))?\nAnswer: 5190*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2974736, 3 in decreasing order.\nAnswer: 3, -2, -2974736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-15)*15\/6 - -7. Let h = 24 - 16. Suppose -3*n - y*j = 2*n + h, 5*n = -5*j. Let x(c) = -c**2 - 4*c + 3. Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80569008 by 45162.\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34086 - 19714. What is p rounded to the nearest 1000?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -23 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h)\/(h*(h*h**(-1\/7)*h*h*h*h)\/h)*(h\/(h\/(h*h**3*h)))**(-1\/9) assuming h is positive.\nAnswer: h**(-89\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 42*w - 1 + 0*w**3 - 11\/14*w**7 + 0*w**6 + 0*w**5 + 0*w**2 + 7\/3*w**4. Find the third derivative of n(s) wrt s.\nAnswer: -1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -3*j**2 + 5\/12*j**4 - 3\/2*j**3 + 0*j - 1\/60*j**5 + 0. Let g be c(9). Solve -2*l + l - 1 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 706992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/60 + 29*r**4\/12 + 19*r**3\/3 - 92*r**2. Differentiate y(z) wrt z.\nAnswer: -2*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 0*l**2 - 20*l - l**2 + 71*l.\nAnswer: -l**2 + 58*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(3*sqrt(432)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + l**2 + 2*l**2)*(-3*l + 0 + l - 1)*(-4*l + 2*l + 0*l) in the form b*l**2 + h*l**4 + c + z*l + n*l**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/2 + k**3\/3 - k**2 + 2*k + 11. Is 10 a factor of n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 255*i - 61. Let h be r(4). Is 33 a factor of 2 + h + (-6 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 3270*o**2 - 460365*o + 3476200 = 0. Calculate o.\nAnswer: 8, 191, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6161 - -6170. Suppose -o - 3*f - 7 = 0, -f = -5*f - 12. Suppose o*i - 7 = -5*d, 4*i - 33 + 4 = -5*d. Calculate the smallest common multiple of n and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*d - 7836 - 33150. List the prime factors of d.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-6) - 2)\/(-1))\/((-131)\/262)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u\/u**(2\/7))\/u)\/u)\/u))**(-2\/39)*(u\/u**(-1\/3))**(-34)*(((u*u**(-1))\/u)**(-1\/46))**0 assuming u is positive.\nAnswer: u**(-12422\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 5. Let p be r(3). Let o(b) = 2*b**p + b**2 - 4*b**2. Let h(u) = u**2. Give o(h(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43194, -86444, -129664, -172848, -215990, -259084?\n\"Answer: w**3 + 9*w**2 - 43284*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 9*r - 10. Let s be z(4). Which is smaller: 11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*o**3 + 11*o**3 - 122*o**3)*(0*o + 2*o**2 + 0*o) + 4*o**5 - 2*o**5 + 0*o**5.\nAnswer: 334*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/21)*y)*y**(2\/23)*y)\/((y\/(y**(-11)*y*y))\/(y**0*y)) assuming y is positive.\nAnswer: y**(-3868\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*u + 30, 2*u = -5*l - 2*u + 15. Let z(c) = -6*c - 1. Let t be z(l). Let r = -3 + t. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -186d - -18?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -36*d + 31*d. Let f be (d\/(-3))\/((-3)\/9). Solve f*y + 4 = 2*v - 5*v, 5*y = 3*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24\/5 - -153\/35. Put -1\/4, h, 0.1 in ascending order.\nAnswer: h, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*m + 13689, -2*m - 11399 = -4*o + 6831. Suppose -33*i + 38*i + 4*w - o = 0, -i + 3*w + 908 = 0. What are the prime factors of i?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - 2*sqrt(85)*5)\/(sqrt(40)\/(sqrt(32)\/sqrt(4))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 3, i: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*k + 194, 3*l - 160 - 97 = 4*k. Let g = l - 453\/5. Factor -4\/5 - g*d**2 + 6\/5*d.\nAnswer: -2*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575702 is divided by 1060?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592, 618, 668, 742, 840?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*x + 4, k + 2*x = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*q, 4*q - 29 + 0 = -5*u. Suppose u*f - 2*f + 151 = s, 212 = -4*f + 4*s. What are the prime factors of ((-1)\/((-3)\/6))\/(-2) - f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2748*s - 6691 wrt s.\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 21*a - 4*v = 2364, 0 = -5*a + 3*v - 3940. Let z = a + 797. Let d(f) = -f**3 + 9*f**2 + 7. Determine d(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**3 - 58*k**2 - 6*k**3 - 7*k**3 - k + 19*k**3 in the form v*k + b*k**3 + s + q*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-35))\/(((-3)\/5)\/3). Suppose 5*c - 2*c = 0. Solve c*i + 2 = -s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 69515525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 368*g**2.\nAnswer: 2*g**2*(g - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 + 37*r**3 - 70*r**2 - 4*r + 40 = 0.\nAnswer: -2\/3, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*f*r**2*u + 683731*f*u - 27*r**2*u + 256*r**2 + 139*r wrt f.\nAnswer: -15*r**2*u + 683731*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u - 814 + 734 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:29 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1355*c**3 - 75*c**2 + 25. Let q(u) = 113*u**3 - 6*u**2 + 2. Give 25*q(d) - 2*z(d).\nAnswer: 115*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*s + 6 = -2*a, 0 = -4*a + 3*s - 21. Let w be (10\/a - 0)*-6. Let j = w + -7. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*m - 7*m + 814 = 0, 1394 = -5*z - m. Let c = z - -282. Let -12\/5*g**4 + 8\/5 + 4\/5*g**2 + c*g - 4*g**3 = 0. What is g?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -657 and 0.6.\nAnswer: -656.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(4\/3)\/f)\/(f**(-2\/19)\/f*f*f*f))**34)**43)**32 assuming f is positive.\nAnswer: f**(-4163776\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50307 or -1?\nAnswer: 50307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 2*t**2 - 293*t + 582. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3310924306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and (-526)\/(-180) + (8\/(-18))\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8384669*q**5 + 8191493*q wrt q?\nAnswer: -167693380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -153\/4. Suppose 4*j + 4 = 72. Suppose -2*p = 4*n, -n + j = -5*p + 6. Which is the second smallest value? (a) 2\/13 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 - 7*p + 3. Calculate a(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - 2*l)*(-5 + 3 + 0) + 21*l - 41*l - 32*l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*s + 9, 5*w + 0*w - 25 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + 54. Let z = -85 + y. Solve 2 = -2*o + 2*f, -2*f + z*f = -4*o - 31 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:24 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 10\/(-1) - 2\/1. Let t(o) = 14*o + 28. What is the remainder when t(d) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**2 + 0*v**2 - 268*v + 291*v wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/12 + 10*l**3\/3 + 7*l**2. Let z be r(-12). What is the units digit of 12*-1*(14\/z - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0)**(-5)\/((n\/n**(-2\/7))\/(n\/((n\/n**(1\/5))\/n)))*((n*n**(-2\/5)\/n)\/(n**(-1\/6)*n))\/((n**(3\/2)\/n)\/(n*n*n\/(n\/(n**(-4\/5)*n))*n)) assuming n is positive.\nAnswer: n**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 59724945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 877937 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4962 and -11\/2242824?\nAnswer: 2242824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 207\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {l: 5, s: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + p**2. Let j(f) = 1376*f**3 + 12*f**2. Calculate -12*g(i) + j(i).\nAnswer: 1412*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + -9.16. Let u = q + 8. Let n = u + 0.3. Is n greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 6026384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxxqbbdggxbbgz. What is prob of picking 1 z, 2 b, and 1 d?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3102132 + 0?\nAnswer: 3102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 469 and 469.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/18 + 2*o**3\/9 + o**2\/3 - 3*o. Let y(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2*(-3)\/(-2). Put 1, c, 154 in descending order.\nAnswer: 154, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - -7232095808156.\nAnswer: 7232095808212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**13\/y)\/y**(-2\/3)*y**6*y\/(y**(1\/3)\/y))**(-34) assuming y is positive.\nAnswer: y**(-2074\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3993) - sqrt(33)))\/(sqrt(396)*-4).\nAnswer: 25*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.16 + 33.86. Let d(l) = l + 8. Let j be d(-6). Which is the third biggest value? (a) n (b) j (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + 1b1?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 115. Suppose -3*d - d = -r. What is the remainder when d is divided by 3\/(-9) + (-16)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 79819.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11798*g + 188714. Calculate h(-16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -31. Let k be (-21)\/y*16\/(-6). What is the derivative of -6 + 9 + k*z - 16*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 - 2555\/(-525)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413455 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 h be (-33)\/(132\/8) + 24\/14. Which is the fourth biggest value? (a) 19 (b) h (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15037663 - 2?\nAnswer: -15037665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.93252cm to millimeters.\nAnswer: 899.3252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237577 is divided by 3051?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 29*y**4\/24 + 14*y**3\/3 + y**2. Let w(h) = -19*h - 19. Let t(z) = -5*l(z) - 8*w(z). What are the prime factors of t(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.88? (a) 3 (b) 1\/8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*x - 4*f, x + 31 = -4*x + 2*f. Let k be -307*2\/10*x. Suppose 9*b - k = 8*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - 3 - 40\/(-25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnpkd. What is prob of sequence dn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 + y**3 - 6*y**3)*(-15 + 707 + 27 - 1 + 4 - 2 + (0 - 1 + 3)*(2 + 2 - 3)) to m + q*y**2 + s*y**3 + h*y and give s.\nAnswer: -4332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 416\/68 - 22\/(-77)*-21. What is the closest to 2\/11 in -1, -2\/5, -0.44, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umoomnyonqnq. What is prob of picking 1 m, 1 y, and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200\/3 + 66. Which is the third smallest value? (a) -3 (b) y (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -57, -83, -107, -129, -149, -167?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 68 = 2*o, -2*c - 2*c - 48 = 3*o. Let j = c + 10. Let w = -1\/43 + -41\/86. Sort -4\/3, j, w.\nAnswer: j, -4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 288 - 19 = 141 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {q: 3, i: 6, m: 2, u: 1, f: 1, z: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/2)\/(((-15)\/24)\/(-5)). Suppose -158 = -k*d + 87*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.085 + 1.0021. What is i rounded to 3 dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3272 = -4*z - 460. Suppose -26*t + 7*t = -z. Solve 34*n - t*n + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13544?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 + 6. Let g = 6.6 - v. Is -1 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2321195 = -4*r + 101999, q = -4*r + 2423206. What is r rounded to the nearest ten thousand?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 26. Solve -4*a - k = 5*p - 54, 5*a - 5*p + 10 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2. Let t(j) = -8031*j**2. Determine t(i(v)).\nAnswer: -289116*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20093854 to the nearest integer?\nAnswer: 4483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.407 - -1.593. What is the biggest value in -10, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 66\/61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 37675*g**3 - 18835*g**2 + 37675*g + 18837 = 0. Calculate g.\nAnswer: -18837, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q - 1. Let b be x(1). Let w = b + -2. Suppose w*m - 1119 - 1231 = 0. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2396, -2397, -2400, -2405?\n\"Answer: -p**2 + 2*p - 2397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 3*o**2 - 3*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s - 7*s + 8*s + 7*s as c*s + o and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - 3*x)*(41*x + 38*x - 49*x + 0*x + 0*x - 2*x + (2 + 0 - 3)*(-1 + 1 - x)) - 8*x - 9*x + x**2 - 1 + 16*x.\nAnswer: -28*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 155430.4457 to the nearest one thousand.\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*2*(-3)\/6. Let q(c) = -c + 9 - i. Let r(f) = -4*f. Let s(h) = -49*h. Let j(y) = 35*r(y) - 3*s(y). Calculate q(j(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + (2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/10 and -43\/595?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178694 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 15) to base 14.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*w + 160 = -237*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 - 4*g + 7. Let f be s(-5). What is the second derivative of 16*i - f - 19*i + 2 + 2*i**3 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 24\/11, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 + 105*f**2 - 743*f + 6. Calculate u(7).\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:49 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, -9.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2299) + 2)*-4.\nAnswer: -8 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*p + j + 86, -3*j = 4*p - 358. What is the greatest common divisor of 99 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 (base 9) in base 16?\nAnswer: 57e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkyyyffkkk. What is prob of sequence fk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5551 or 5550?\nAnswer: 5551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18481.\nAnswer: 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 231475*l - 925905. What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let n(s) = 4*s**2 + 10*s**2 + s**2. What is u(n(k))?\nAnswer: -225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 165.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9418282 or -9418276?\nAnswer: -9418276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*a + 4 = -0*a, -5*z - 2*a + 14 = 0. Let t(c) = 2 - 1 - 2 + 26*c + 2. Is t(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40654083 to the nearest integer?\nAnswer: 6376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 18*g - 22. Suppose -5*r - 69 = -0*r + 3*i, 4*i = -3*r - 37. Does 6 divide n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 48, 80, 116, 156, 200, 248?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 5, 56, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + a - 343656*a**3 - 10*a**2 - 4*a + 343658*a**3 to the form p*a**3 + m + d*a + g*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 568099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -337 + 337. Solve 3*n - 4*b - 7 = -2, x = -3*n + 3*b + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -13*c - 3*r + 2442, c - 607 = r. What are the prime factors of c?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 q when four letters picked without replacement from jqqqgtgugggyjgggjgu.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z + 53. Let q(h) = 5*h - 24. Let c(t) = -2*f(t) - 7*q(t). Let u(o) = -11*o**2 + o. What is c(u(w))?\nAnswer: -11*w**2 + w + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**4 + 3*p**3 + 54*p**2 + 41. Let h(t) = 11*t**4 - 5*t**3 - 107*t**2 - 84. Let v(i) = 5*g(i) + 3*h(i). Find the first derivative of v(x) wrt x.\nAnswer: 12*x**3 - 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*(k\/(k*k*(k\/(k\/(k**(-6)*k)))\/k))\/k))\/k))\/k)**(-2\/157) assuming k is positive.\nAnswer: k**(-10\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 257\/3. Which is the nearest to -1? (a) k (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 10435445*a + 31306380 = 0. What is a?\nAnswer: -3, 2087092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/2)\/x**0)\/(x\/(x**(-3\/13)*x*x))**(-3\/14))**(-39) assuming x is positive.\nAnswer: x**(-1275\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 + 48163217*i = 0. What is i?\nAnswer: 0, 48163217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m - 9. What is z(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 - 2*q - 3. Let c be m(4). Suppose 0 = 2*r + 2*v + 4, 3*r - 2 + 3 = 2*v. Let j be (4\/(-8))\/r*2. Sort -5, c, j.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2627*c + 3224*c + 1941*c + 5 to the form u*c + f and give u.\nAnswer: 7792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 3*o + o)*(-170 + 419 + 106)*(2 - 2 - 2*o**2) as h*o**2 + p*o + i*o**3 + s and give i.\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let l(x) = -3*x - 1. Let c(f) = l(f) - s(f). Let g = -112141 - -112146. Let r(q) = -q - 1. What is g*c(a) - 10*r(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 + i**5\/15 + i**4\/12 - i**3\/6 - 19*i**2. Give d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9813 rounded to two decimal places?\nAnswer: -3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1158 + 3?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 1. Let i(y) = -3*y - 2. Let l(b) = 5*h(b) + 4*i(b). Let w be -3 + (-1 + 3)*(-7)\/14. Calculate l(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 14*d + 58. Let f be b(-9). Solve 24*p = f*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*j = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*l - 30, -v + 2630 = -l + 2640 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/70)\/(3\/(-14)). Let h(z) = -4*z**2 - f*z**2 + 5*z**2. Let r(d) = 5*d. Determine r(h(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69447*g*x**5 - 133*g*x**2 - 292012*g*x - 78 wrt x?\nAnswer: 1388940*g*x**3 - 266*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48236220 - 201140. Suppose -8*r = q - 12355080. What is r rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3578, -28229, -95146, -225461, -440306, -760813, -1208114, -1803341?\nAnswer: -2567626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -230?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7384911.\nAnswer: 3, 2461637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2771.\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxxw when four letters picked without replacement from {w: 4, y: 1, d: 1, x: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.088*2.6\nAnswer: 2.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1120, -1 in decreasing order.\nAnswer: 5, -1, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = 5. Calculate the remainder when 1\/(-1) + (3 - -1) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 24. Let t(m) = m + 5. Let s(q) = 2*b(q) + 10*t(q). Let k(c) = -3*c + 3. Calculate 5*k(v) - 8*s(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-3 + 2 + -2 - (sqrt(153)\/sqrt(576) + 0))*-6.\nAnswer: 795*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 10*x = -15*g + 39, -4*g + 56 = -2*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4763.\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719880 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6*(-70)\/(-84)*851\/115?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2. Let a(w) = 2*w. Let h(f) = f. Let j(d) = -3*a(d) + 4*h(d). Give j(p(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h + 84 - 84 to the form i + f*h and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + 2*o**2 + 3*o**2 + (0 + 0 + 2*o)*(3*o - o - o) - o + 7*o**2 - 13*o**2 - 1 + 7*o**2 in the form q + r*o**2 + y*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2738 divide 23378511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w - 1\/30*w**5 + 0*w**4 + 0 + 3*w**2 + 0*w**3. Let l(m) = 42 - 11*m + 40 - 82. Calculate b(l(t)).\nAnswer: -242*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -507 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -6467.\nAnswer: 2586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16492 and 595004?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 1. Let i(n) = -n**3 - 4*n**2 - 2*n - 3. Let d be i(-2). Let y = -344 - -362. Calculate the least common multiple of y and j(d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02402 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011232 to seven dps.\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y**5 + 33*y**4 + 3*y**3 - 39*y**2 - 15*y + 6 = 0 for y.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -32\/13 (c) 0 (d) 0.3 (e) -0.07 (f) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1010571\/266750 + 369\/4268. Let m = k - -1\/500. Let r = 5279035\/1772016 + 2\/36917. Calculate the common denominator of m and r.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 78188. Suppose p + 3 = 2*p, -5*h - 2*p = k. Let y = h - -140867\/18. Find the common denominator of y and 103\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400) + -1)**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-752965)\/57933)\/(9\/((-162)\/4))\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198, 395, 592?\n\"Answer: 197*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241 plus 0.047?\nAnswer: 6241.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*a - 52, 153*h - 300*h - 36 = -150*h + 4*a for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4. Let v(n) be the first derivative of -n**4\/4 - 2*n**3\/3 - 5*n - 1. Suppose -40*q - 114 = 2*q + 12. What is q*x(p) - 2*v(p)?\nAnswer: 2*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 4*w + 473. Let v be m(23). Calculate the greatest common factor of v and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 207 - 262 = 0. What is the remainder when g is divided by 6\/4 - 516\/(-24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1419 and -4.\nAnswer: 5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*u**3 + 5 - 53980*u**2 + 53980*u**2.\nAnswer: 8*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6863\/234 bigger than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -450\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1332369.7 + -1332369.37000085. Let a = u + -0.33. What is a rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 7006*c**3 + 139554*c**2 + 815346*c + 1128492 = 0. What is c?\nAnswer: -3483, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 148311502 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 20*o**2 - 38*o + 34. Let n be b(-18). Is 7 a factor of (n\/15)\/(-3 - (-101)\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 40 + 26 - 29 - (-33 - -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213567426 divided by 213567426.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1234.5 - -1235. Which is the nearest to 6? (a) 0.4 (b) u (c) -4\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*o - 7*o - 1, -3*o = h - 3. Factor -6*x**2 - 8*x - h*x**4 + 14*x**3 - x**4 + 12*x**4 - 2*x**2.\nAnswer: -2*x*(x - 2)**2*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/137 (b) 5 (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.32 - 10. Let y = r - 1.04. Let i = 4.62 + y. What is i rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -4, 2, -13.17, -5, -0.1 in descending order.\nAnswer: 41, 2, -0.1, -4, -5, -13.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -914, -1309, -1704, -2099, -2494?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10251342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7 + 11*r**3 + r**2 + 13*r**3 + r - 26*r**3. Give l(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -9. Let b = i + 4. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11127 + 11127. Solve -3*p - 12 = h, -3*p - 6 - 6 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*(f**(-2\/3)\/f)\/f*f)**(11\/2))**(5\/11) assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + (-6 + 5 - 2) - 17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.8238 and 1733.\nAnswer: -17024.6454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 42. Calculate c(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 1106, 2482, 4398, 6848?\nAnswer: 9826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/(-60) + 2 + 1)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 103*z - 423. What is l(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -40, -36, -34?\n\"Answer: -y**2 + 9*y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 14*p + 34*p - 68 - 34*p**2 + 35*p**2.\nAnswer: p**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 91579209 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25166453.\nAnswer: 13, 1935881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -90, -136, -184, -234?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2149.4 + -2153.4. Which is the second smallest value? (a) 125 (b) -1 (c) 0 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 43, -2\/351, 4\/9, -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.6201 - -1.6921. Let m = -74 - t. What is m rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-18))\/((3\/(-18))\/1). Let m = 16 - 32. Let j be m\/(-5) - 3\/15. Solve -j*d + g = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -5003532?\nAnswer: 5003546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 5664 = -9*z - 4500. Calculate the highest common divisor of 352 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ba (base 14) in base 3?\nAnswer: -11020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + 1.5. Let c be ((-2)\/4)\/(3\/(-2)). What is the biggest value in t, 2\/9, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*4)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25489, 25488, 25487, 25486, 25485, 25484?\n\"Answer: -n + 25490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:10 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296001860 to the power of 1\/2, to the nearest integer?\nAnswer: 17205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9152*g*j**3 + 10210*j**3 wrt g?\nAnswer: 9152*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q + 24. Let l(j) = -j - 4. Let i be l(q). Let t(w) = 26*w - 491. Let k be t(19). Solve i*o - o - k = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 169, 255, 343, 433, 525?\n\"Answer: b**2 + 81*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92998*m**2 - 185921*m**2 + 92928*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -40*p + 30. Suppose 0 = 7*d + 35 + 7. Is h(d) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200665668 to the power of 1\/2, to the nearest integer?\nAnswer: 14166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56507?\nAnswer: 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1737591*j - 2. Give u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7228972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -23*l + 55*l + 13 - 17*l - 28*l. Let a = 6 + -17. Let h(c) = -7*c + 7. Determine a*h(g) + 6*k(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozvnzvzzvzzzzzzvozo. Give prob of sequence zn.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2241, -4437, -6637, -8841, -11049, -13261?\nAnswer: -15477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 77805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38517 divided by -38517?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) 1 (c) -0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*w)*(3*w - 4*w - 2*w)*(-w + 2*w - 3*w)*(-w + 7*w + 14*w).\nAnswer: -360*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 4*o + 4*o + (-6 + 6 + 4*o)*(6 - 2 - 3) - 5*o + 4*o + 3*o + (-3*o + o + 0*o)*(4 - 4 + 1) to the form f + v*o and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133.992 - 1.1550586.\nAnswer: -135.1470586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/218 and -59\/1744.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*n + 15 = 0, -4 = -4*n - 0*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1254 (base 6) to base 12\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:48 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-18))\/((57\/152)\/(-10*(-9)\/8)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11674 and 65554?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(152\/133*(-7)\/(-2))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/65)\/(24\/936*-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3400)*-2 + sqrt(34))*-3)\/(((sqrt(96) + (sqrt(96)*2 - sqrt(96) - sqrt(96)) - sqrt(96) - sqrt(96))\/sqrt(8))\/sqrt(6)))**2.\nAnswer: 55233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1662*c*k**2*p + 100*c*k*p*q + c*k*p + 647*k**2*p*q - 320*k**2*p wrt c?\nAnswer: -1662*k**2*p + 100*k*p*q + k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 3*k + 9. Let l be r(4). Let x = -99 + l. Suppose q - 1545 = a, 2*q + x*a - 1539 = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from giuainviiigviangiiu?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-896)*(-384)\/(-276).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11158644 and -4.\nAnswer: -44634576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 368 + -243. What is the remainder when j is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000219 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 23. Suppose -4*q = 4*t - 40, t + 2*q + 11 = n. Which is smaller: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*z + 10*z - 10*z)*(2*z**3 - 1 + 1 + (-2*z**2 - 1 + 1)*(z - z - 2*z) + 4 + 2*z**3 - 4 + 0 + 2*z**3 + 0 - 3*z**3 + 3*z**3 + z**3).\nAnswer: -55*z**4 + 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.078 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**6)*a)\/(a\/a**(-13)*a)*(a**(3\/5))**49 assuming a is positive.\nAnswer: a**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*((-266)\/49 - -6). Solve 3*h + m*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 1b55?\nAnswer: 1b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1456 (b) 1 (c) -108 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:18 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.721 litres in millilitres?\nAnswer: 303721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + (0 - 2 - (-25 - -31))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5200 - 3120. Let c be 1\/(-3) - (-4 - w\/12). Suppose 3*a = -d + c, 0 = -5*a + d + 289 - 2. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvyfvymemfmvhh. Give prob of sequence fvyh.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -106*h + t + 499, -8 + 63 = 8*h + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163008595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) - (-4)\/(-2). Suppose -d*p - 15 = -7*p. Which is greater: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 34245 = 54*d - 57*d, -3*d - 4*m = -34249. List the prime factors of d.\nAnswer: 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:05 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - d - 1. Let f be v(-1). Let c = -13 + 10. Sort -2, c, f in increasing order.\nAnswer: c, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202.15 * -5532\nAnswer: 1118293.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 5, -8, 2, -5 in ascending order.\nAnswer: -229, -8, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*b, 6*a - a + 2*b = 21. Let h(n) be the first derivative of 2 - 5\/2*n**2 - 1\/3*n**a + 5*n. Determine h(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4 + 2*i + 0*i - i**3 - 7*i**2 + 2*i**3. Let w be (10\/(-6))\/((-133)\/(-42) - 4). Suppose -y + 6*y - 23 = -4*f, w*y = -5*f + 33. What is g(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -5 (c) 6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.5. Let d = 174043.99 + -174044. Which is the closest to 1\/4? (a) d (b) 2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-190602*a**2 - 2 + 190610*a**2 + 0 + 14*a)*(a**2 - a**2 - a**2) to y*a**3 + l*a**2 + o*a**4 + p*a + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g**3 - 46*g. Let d(p) = 4*p**3 - 9*p. Let h(q) = -2*a(q) + 11*d(q). Suppose 41*o = 209 - 45. Let m(w) = -2*w**3 + 6*w. What is o*h(b) + 5*m(b)?\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -3581, -5378, -7177, -8978, -10781?\nAnswer: -12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-7)\/1 + 2). Let a = v - 1. Let g be ((21\/6)\/a)\/2. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 21, 35, 49, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9555, -9545, -9525, -9489, -9431?\n\"Answer: s**3 - s**2 + 6*s - 9561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 2. Let h be b(-2). Solve r + h = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose 4*g + 4*j - 484 = 0, -6*g - 3*j + 242 = -i*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.917 + 0.117. Let p = -12.3 - w. Put 4, 2\/7, p, 63 in decreasing order.\nAnswer: 63, 4, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 2. Suppose t - h = -6, -4*t - 3*h + 12 = 43. Give q(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22377731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12896571 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2 = -8. Let z be (j - -4)\/((-2)\/(-3)). Suppose -3*w = 5*n - 0*w - 101, z*n = -w + 63. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 3*d + 3*d - 2*d + d + 2*d + 0*d - d + (2*d + 2*d - 5*d)*(2 - 3 - 1) + 2 + d - 2 + 11*d + 15*d - 37*d)*(-4*d + 4*d + 4*d**2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 8*s - 5. Let n be w(-10). Let b = n + -12. What is the tens digit of (1 + 19 - (b + 0))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14596 in 7, 0.1, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**4\/24 + z**3\/6 + 2*z**2 - 48*z + 13. Let j(a) = 5*a - 3. Calculate -3*h(k) - j(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3, 4, 1, -283 in decreasing order.\nAnswer: 5, 4, 2, 1, -3, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16473750 and 1035?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 155, 244, 339, 440?\n\"Answer: 3*r**2 + 74*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 3*t**2 - 2*t**2 - 6 to a*t**2 + n + j*t and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.034 + -19.034. Let t = 22.7 + -4.1. Let d = r + t. Which is the smallest value? (a) d (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Let z = 23\/4 + -6. Let o = -75\/4 - -19. What is the closest to z in y, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190 is divided by 181.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 900860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9805 - 7807. Is g >= 1999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = v + 4*a - 55, v - 3892*a = -3896*a - 113 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19271 - 19119. Solve 4*z - 23*z - c = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*((-29925)\/(-250))\/(-63). Solve k*w - 16*w + 30 = 5*a, 8*w = -5*a - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 625617 and 1395.\nAnswer: 96970635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048159321 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13277 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31026 and 0.1?\nAnswer: 31026.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. Suppose 5*k**3 + q*k**2 - 409*k**4 - 10*k - 19*k**3 - 24*k**2 + 407*k**4 = 0. What is k?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 2. Let i(f) = f - 1. Let q(a) = -h(a) + 8*i(a). What is q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/5 - 98704*b**4\/5 - 296118*b**3\/5 - 59224*b**2 - 98707*b\/5 = 0. Calculate b.\nAnswer: -1, 0, 98707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -407 + 7*m**2 - 4*m**2 + 407 + 2*m + m**3. What is b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 642\/(-15)*(8 - 13). Suppose 0 = -2*j + x + 62. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 52?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 678294217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1071, 0.2, 512, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*r + 13*r + 192 = 5*r - 18*r + 74, 6*r = -12 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/3)\/(12\/18). Suppose 206 = 5*o - w*y, 5*o + y = 2*o + 110. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 23 - 34)*(-4*g + 5*g - 4*g) + 0 + 0 + 2*g + (4 - g - 4)*(3 + 0 - 5).\nAnswer: 112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2117 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*w = -53, 0*w = -2*a + 3*w + 99. Let h = -71 + a. Let b = 38 + h. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6654260, 6654263, 6654266, 6654269?\n\"Answer: 3*s + 6654257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -0*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*y + 8, 4*h + 5 = 2*h - 3*y. Which is the nearest to 5\/2? (a) 1\/4 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44604167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*s - 17*p + 5*p - 60, p = -2*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -2 - (-258 - -242)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/27)\/d**13)**(1\/25))**(-6) assuming d is positive.\nAnswer: d**(698\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31302276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*l**2 - 6*l + 9*l**2 - 1 + 69*l - 3*l**3 + 20*l wrt l.\nAnswer: -18*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.116.\nAnswer: 4.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.02 + 0.02. Let p = -36 - -6. Let u = i - p. What is the biggest value in 2\/11, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*o - 20, 4*k - k + 16 = -o. Which is the closest to -2\/3? (a) 2\/7 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -301 or -305?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384 + -187. Let x = -192 + j. Solve -m + x = -0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11554 and 848.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -10*x**3\/3 - 5*x + 6. What is the derivative of o(m) wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(832) + 5 - sqrt(832) - (sqrt(832) - (sqrt(832) + sqrt(832)*1)*1))*1*3*-4)**2.\nAnswer: 11520*sqrt(13) + 123408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19394485 is divided by 351.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9784.2 + 9785. Is 199 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 47. Let u = -113 - -296. Suppose -10*g - u = -q*g. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 9 + 21. Let f be ((-3)\/j)\/((-5)\/2). Let k = 3553 + -3552.5. Which is the second smallest value? (a) k (b) 0.4 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let k = i + 0. Solve -3 = -3*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2\/15 (c) 956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/18 - 4\/3. Let k be v + 1 + -4 + 5. Factor -8*o**2 - 2*o + 0*o**3 - 4*o**3 - 6*o**3 - 8*o**4 - k*o**5 - 2*o**3.\nAnswer: -2*o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 40 + -23 - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -66. Suppose -q*o + 200 + 171 = 0. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**28*t**(15\/4)*t)\/((t**(2\/9)*t)\/t)**(-12\/7) assuming t is positive.\nAnswer: t**(2867\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232796 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 f when three letters picked without replacement from xsxsxxxxssfsfxxx?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10949\/126 - 829\/9. What is the common denominator of u and 73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 15\/3)\/(2\/(-2)). Let o(p) = -57*p**2 + 54*p**2 - 4*p - 3 + a*p. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 3 = 12*b. Let h be ((-8)\/(-8))\/(5\/b). Let z(m) = 4*m**2 - 3*m + 2. Determine z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 + 5. What are the prime factors of l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4187*s**2 - 101*s - 3. Let t(i) = 4*i. Give n(t(f)).\nAnswer: -66992*f**2 - 404*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -14786.58?\nAnswer: -14786.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48062497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 74. Suppose f - x = 6*f + 27, 4*f + n*x = -28. Which is bigger: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(28))**2 + 1 + sqrt(125).\nAnswer: 9\/4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let s be (21 + -3)\/((-6)\/l). Let d be 70\/6 - 1\/(-3). What is the greatest common factor of s and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2 - 11. Let n(t) = 3*t**2 + t**2 + 3*t**2. Determine s(n(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 0*r. Let d be (2 - 3) + r + -2. Suppose d = -3*x - x + 32. What is the smallest common multiple of x and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(4\/33) assuming z is positive.\nAnswer: z**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.84 + 4.74. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 239259.\nAnswer: -71777.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12433, -24858, -37283, -49708, -62133?\n\"Answer: -12425*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1791, -1797, -1817, -1857, -1923?\n\"Answer: -j**3 - j**2 + 4*j - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-272))\/(2 + -2 + (-4)\/(-32))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.172 - -0.21. Let h = -36.022 - -41.06. Let d = h - q. What is the smallest value in 11, d, -1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124840043.\nAnswer: 1559, 80077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-27)*f\/f**(-16)*f**(-2\/43) assuming f is positive.\nAnswer: f**(-1593\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1102.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t - 117. Suppose 0*w + 26 = 2*w. What is the remainder when m(10) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 28.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*y + 13, -67 + 81 = 2*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1364 (b) 5 (c) -781\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 a factor of 4231932420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) + (18 - 20). Is -0.5 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 33*s**2 - 217*s + 3394. Determine y(38).\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342177 + 645646. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 54 = 7*h. What is the greatest common factor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3118033 millilitres?\nAnswer: 0.0003118033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*y = -y + 2, 4*p + 4*y = 8. Let u = -4 - -9. Suppose 0 = -c + u*c. Solve c = -p*v - v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5006018 is divided by 73617.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3097819, 3097821, 3097823?\n\"Answer: 2*z + 3097817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 12*b**2 - 4*b + 8. Calculate the remainder when r(-12) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-450)*(-10)\/(-2). Let c be (2\/(-4))\/((-3)\/12). Sort -1, t, c.\nAnswer: -1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, -4\/3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*c - 2105 - 20 - 645 = 1048 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 23*i - 29*i + i in the form p*i + v and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from {g: 1, o: 2, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a. Let w(g) = 9*g - 6*g + 9*g - 7*g - 2*g. Determine w(v(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2286 and -19\/22860?\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 1902277295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126065372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.413 - 0.0051.\nAnswer: 5.4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 4*i**4 - 3*i**4 + 2*i - 20*i**2 + 18*i**2 to the form z*i**2 + y + d*i**3 + j*i**4 + q*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 363 - 1091\/3. Let q = -21.6 - 5.4. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.599990985 minus -0.7?\nAnswer: 1.299990985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 3*o + 7*o - 2)*(71 - 21 + 68).\nAnswer: 118*o - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6929, 13856, 20783, 27710, 34637, 41564?\n\"Answer: 6927*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 + q - 3. Let n be k(6). Let j = n - 2. Let r be (j\/(-2))\/(5\/(-80)). What is the highest common divisor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -2*o = -j, 4*l - 1 = 2*o + 5. What is the third derivative of -2*v + l*v**6 + v**2 + 2*v + 0*v wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3974\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160369 is divided by 25838.\nAnswer: 5341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, 1, -1\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8238*n**5 + n**4 + 79299*n**2.\nAnswer: -494280*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*l = 5*s - 40, s + 2*l + 6 = 0. Factor 12*o**2 - 12*o + s*o**3 - 3*o**3 - o**3 - 3*o**3.\nAnswer: -3*o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40 - (7\/5 + -2)*-5. Suppose 0 = -u*d + 54*d - 1122. Calculate the least common multiple of d and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*o - 56. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 41 = -y, 5*y - 3*n + 2*n = 133. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020755 to 4 dps.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10304, 20620, 30934, 41252, 51580, 61924?\n\"Answer: i**3 - 7*i**2 + 10330*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-1*sqrt(8)) + sqrt(28)\/(sqrt(4) - (sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1271 + 964 - 1504)*(-9*b**3 - 2*b**3 + 3*b**3).\nAnswer: -5848*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.216 - -0.184. Let u = 2.6 + l. Which is the nearest to 0.1? (a) -8 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -8. Let o be 0\/(-2) + (-9 + 3)*-2. Let v(b) = -8*b**2 - 7*b + 3*b + o*b**2 + 1 + b**3. Give v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10800 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 2 - 2)*(3*r**3 + 249*r**2 - 249*r**2) as x*r**3 + n + s*r**2 + t*r + g*r**4 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -138040.33 and -1?\nAnswer: 138039.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 3*q**6\/10 + 13*q**4\/12 - 4*q. What is the third derivative of j(b) wrt b?\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-7 + -3 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-2150))\/(5910\/(-78800))?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2\/((-8)\/6). Suppose 0 = 5*b - 3*v - 3, a*b - 4*b - v - 1 = 0. Let y(j) = j**2 + j + 4. Let h be y(0). Solve b*s = 3*z - 3*s, 2*z - h*s = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11*u = 6*u, 0 = -3*n + 4*u + 23. Factor -11 - n*f**2 - 10815*f - 4 + 10795*f.\nAnswer: -5*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.75 + 42.65. What is the nearest to m in -4, 3, -1305?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111202210111 (base 3) to base 2.\nAnswer: -1000010001010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16097 + 16100. What is the closest to 1 in a, -190, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 24, 1\/5 in decreasing order.\nAnswer: 24, 0.5, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022234041 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-56)\/(-28))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935597758 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 14*r - 3. Let w be h(-11). Let p = -143 - w. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54611 - 70?\nAnswer: 54561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 506, 528, 526, 494?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 2*l**2 - l + 2. Let r(b) = -4*b**3 + b**2 - b + 2. Let t(m) = -3*c(m) + 2*r(m). What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 68 + -37 + 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -100. Calculate the remainder when 51 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/(-30))\/(2\/(-200))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87593*s + 27993.\nAnswer: 87593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yyeeeeeyyy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 251452352?\nAnswer: 251452351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6 - 6. Suppose -s + l = -j - 0, -3 = -j. Find the first derivative of -387*c**2 + s*c**3 + 387*c**2 + 8 wrt c.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4548015 = 4*f + 5*k, f + k + 144248 = 1281251. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*q + 7109*q = -2564*q - 981*q - 1125762 for q.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*a + 0)*(-5*a + a + 23*a)*(-8*a - 6*a + 0*a).\nAnswer: -1596*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (218\/16)\/((-6)\/(-8)) and 50\/360*-51 - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640080 by -6.\nAnswer: 106680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f - 49. Suppose 0*i + 55 = 5*i. Let t(v) = v + 10. Let n(y) = i*t(y) + 2*w(y). List the prime factors of n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by -20?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 f when three letters picked without replacement from fqfffqqqqxf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 19*p**2 + 6 + 2*p**3 - 10 to l*p**2 + a*p**3 + w*p + f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14392, 28064, 40428, 50830, 58616, 63132?\nAnswer: 63724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 55*m - 39. Let s be b(53). Solve s*q - 66*q = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2288 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 7775*v**6\/12 - v**4\/24 - v**3\/3 + 15*v**2. Let i be a(-2). Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 32*w + 391. Calculate the remainder when x(-41) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4\/7 (c) 2 (d) 1\/5 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l**4 - 489*l - 20*l**3 + 489*l - 246*l**2 - 19*l**4 wrt l?\nAnswer: -120*l - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*k = -40. What is the second smallest value in -3\/28, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125410.\nAnswer: 2, 5, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50054 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 8) in base 16?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 892855.3ml?\nAnswer: 892.8553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - n - 3*n = -29, 5*n - 25 = 4*a. Let w = 9 + a. Let h**5 - 3*h**5 + 2*h**3 + w*h**4 - 2*h**4 - 2*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 186.699763259335?\nAnswer: -186.099763259335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 + 6*v + 2. Let j be (-1)\/(-1*1\/5). Let p be o(j). Suppose -2*a + 20 = 5*q - 3*a, 3*a - 12 = -3*q. Solve -p*n + 15 = -q*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -12. Suppose -h + 3*d = -2*h + 4, h + 4 = -v*d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + 4 + 13*z - 14*z + (-643 - 166*z + 643)*(-1 + 3 + 0).\nAnswer: -329*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/9 and 3\/1597349.\nAnswer: 14376141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 8 - ((-20)\/(-25))\/(1\/(-5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 0*d - 2*d - 9*d + 28*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 37*l = -3028. Suppose -7*m - l = -14501. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29074038 divided by 1?\nAnswer: -29074038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/16 of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24055 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 5:53 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 0, -4.\nAnswer: -14, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 + 170. Let i(r) = r**2 - 16*r + 22. What is the hundreds digit of i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101 - -112001002?\nAnswer: 112002103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f = 26*f + 76125. What is the highest common factor of f and 1392?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:29 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {m: 14, d: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.024, -15\/8, -1\/19?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 50 - 41*l**2 - 113*l**2 - 23*l**2.\nAnswer: -177*l**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 205, 4\/5, -1484, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -1352\nAnswer: -56784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/3)\/(-8))\/((-4)\/(-88)*-4)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7528, 3560, -408, -4376, -8344, -12312?\n\"Answer: -3968*j + 11496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1905360310 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3801 is divided by 419.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77719 at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (12 - 5) - (3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -102*g + 4. Let r be w(-15). Suppose -4*n - r - 1146 = 0. Round n to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -117289.\nAnswer: 2345.78","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 6753628?\nAnswer: 6753628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 53*g**2 - 266*g + 8. Let d be b(5). Sort -60, 1, d, -2 in increasing order.\nAnswer: -60, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3 (c) -0.5 (d) -1\/456 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f**2 + 13*f - 312. Let t(n) = -5*n**2 + 6*n - 156. Give -6*o(s) + 13*t(s).\nAnswer: s**2 - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1237.6 + -857. Let o = p + -381. Let z = -116 - -583\/5. Which is the closest to 1\/13? (a) -5 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 16. What is the remainder when (-2 + -4)\/((-4)\/20) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-1 + 1 + 1 + sqrt(891))**2.\nAnswer: -5348 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100224 + 110431?\nAnswer: 211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -15. Let a(q) = 8*q**2 - 4*q - 4. Let f(y) = -54 + 9*y**2 + 82 - 5*y + 72 - 53 - 52. Calculate w*f(p) + 5*a(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-8))\/(8\/(-48)*3*1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 16*n**2 - 16*n + 11. Let h be w(-15). Let x = 28 - h. Calculate the remainder when 38 is divided by 10 + 0\/(x\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 279, 1108, 2487, 4416, 6895?\n\"Answer: 275*g**2 + 4*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 536.1 + -522.1. What is the second smallest value in 2\/11, -1, -0.04, u?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (7 + 10 - 14) - (-13 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -5 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, 3561, -2, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*o + 12569 - 12569 - 5*o**2.\nAnswer: -5*o**2 - 87*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 + w - 9. Determine f(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*m*n - 5*c*m*o**2 - 2*c*n**2*o**2 - 12*c*n**2 + 468*c*n*o + 502*m*n**2 + 2*m*n*o**2 - 1 wrt n.\nAnswer: -4*c*o**2 - 24*c + 1004*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2128*k**3.\nAnswer: -2128*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/5 - -67\/35. Let p(b) = -b - 3. Suppose 2*q + 0*u = 4*u, 2*u = -3*q - 16. Let r be p(q). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5dd4 (base 14) in base 9?\nAnswer: 24512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440364*j**3 - 5*j + 5*j.\nAnswer: 440364*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 i when four letters picked without replacement from hhihhhhhiih.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-114)\/171)\/((-4)\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -3*v**4\/8 - 13*v**3\/6 - 3*v**2. Calculate the remainder when 23 is divided by r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/6 + -1*1. Suppose -3*p = 3*l - 6*p + 24, p - 3 = 0. Which is the closest to -2\/7? (a) l (b) y (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -3\/4 (b) -1\/3 (c) -2 (d) 3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.73 - 3.95. Let o = 0.6 - 1. Let z = -5.96 + 5.86. What is the biggest value in 0.2, o, v, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -3, -33\/26 in ascending order.\nAnswer: -96, -3, -33\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15470)\/(-273) - (-1 + -1 + 16\/6). Solve -3*n = x - 53 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + 5*c**4\/12 - 5*c**3\/6 - 3*c**2. Let t be b(-9). Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 54, 77, 108?\n\"Answer: 4*x**2 + 3*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**1)**(-8\/15)*(i**(4\/7)*i*i*i**(-3\/5)*i)**(3\/4) assuming i is positive.\nAnswer: i**(646\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 3.1. Let t = z + -2. Let v = 1787\/12 + -149. Which is the third biggest value? (a) -3 (b) 0 (c) t (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4439183 and -0.366.\nAnswer: 4439182.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31151483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -958*c**2 + 10538*c + 11. Let q be d(11). Solve -m + 19 = 3*b, 5*b + 12*m = q*m + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**2 - 5*d**3 + 1725316571421*d - 1725316571421*d + 47*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*k - 648 = -10*k + 3492 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -61*d**7\/70 + 28*d**4\/3 - 2*d**2 + 45. What is the second derivative of k(f) wrt f?\nAnswer: -2196*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 0 + 4206\/(-840). Is a greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3.8 (c) 1\/19 (d) -2\/11 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32516*v + 16260*v + 16263*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-767*l + 431*l - 81824*l**2 + 10512*l**2 + 336*l)*(0 + 1 + 0) as j*l + z + v*l**2 and give v.\nAnswer: -71312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 - 2*i - 10. Calculate the lowest common multiple of 6 and v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3 + 3*q - 2 + 6 + 0. Does 2 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (37 - (-42 + 68)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*n**4 - n**4 - n**4 + (-3*n**3 + 2*n**3 + 4*n**3)*(2 - 4*n - 2) to the form g*n**3 + z*n**2 + h*n + c + s*n**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -3*m - 3*t, 3*m - 3*t = 2*m + 69. Suppose 0 = -71*i + m*i + 36. Sort i, 2, 0 in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1029 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, 141, -36\/11, 1, -2\/3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-15)*135\/(-63).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 700039\nAnswer: -350019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 + 5502 + 102 = 235*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 19*l = -10*l + 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*d - 4*d + 20, -12 = -2*c - 2*d. Let j(k) = -4*k**c + 2*k**2 - 4 + 5. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7*l = 0. Suppose -6*z + 20904 + 11106 = l. Suppose z + 6620 = 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + 3*x - 52. What is the units digit of t(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h*n**5 + 34*h*n**4 - 39*h*n**2 + n**2 - n wrt n?\nAnswer: -180*h*n**2 + 816*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Suppose -5*r = -p - 8, -3*p + 2*p - 1 = 2*r. Which is the smallest value? (a) -2 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1755 + -1703. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123019 and 369057.\nAnswer: 369057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, p: 4, a: 4, h: 1, z: 2, e: 4}. Give prob of picking 2 r, 1 z, and 1 e.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23 + 1806\/(-70))\/(1 - (-34)\/(-30)). Let b = 3 - -1. Solve u*f - 22*f = -b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2 - 74244*h - 371195 = 0.\nAnswer: -74239, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 2*v**2 + 4*v**2 - 2*v**3 + (-v - 3*v + 2*v)*(33*v**2 - 64*v**2 + 38*v**2).\nAnswer: -13*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4800, 4802, 4804, 4806, 4808, 4810?\n\"Answer: 2*o + 4798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1374)\/4809 - ((-8)\/(-21) + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -14 + 60 - (-14 - -35)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6499707 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 14. Is r(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z - 0*z + 1458, -2*z - 5*a = 1454. Let v = z - -5147\/7. What is the common denominator of -37\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -349*a**7\/21 - 311*a**5\/10 + 2660*a**2. What is the third derivative of n(z) wrt z?\nAnswer: -83760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from fzzm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/6 - 4)*240. Let s = -117 - d. Solve 2*h = -5 - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 215518 + -4?\nAnswer: 215514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**2 - 31\/3*q**3 + 0*q - 3\/5*q**5 + 13\/4*q**4 + 56. What is the third derivative of j(o) wrt o?\nAnswer: -72*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 155 - 305 = 0. Let m = b + -82. Calculate the remainder when 128 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7*j + 19. Calculate the remainder when 50 is divided by l(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-9) - -1)*(-450)\/600?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 49*c + 7893. Let j(q) = 65*q + 7891. What is -4*i(b) + 3*j(b)?\nAnswer: -b - 7899","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63760 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*y**2 - 132*y + 80*y + 52*y + 726*y**3 - 3 - 3*y**2 wrt y.\nAnswer: 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -44. Which is greater: -50 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/29 (c) -29253 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16464053?\nAnswer: 16464048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 135\/(-36))\/((-2)\/8). Solve 5*y - 5*o - 30 = 0, 0 = j*y - 2*o + 8 - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14681744 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + m + 1, -1142*d + m - 2 = -1140*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h + h + (-1 + 3 - 3)*(-4*h + 2*h + h) + 5*h - 2*h - 2*h + 0 + h + 0)*(319 - 319 - 237*h) in the form c + j*h**2 + b*h and give j.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7246*s - 65217. Give i(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586425 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*c**5 - 1 + (-3*c**2 + 3*c**2 - 3*c**2)*(3*c**3 + 0*c**3 - 2*c**3 + (3 - c**2 - 3)*(-6*c + 3*c + 5*c) - 2*c**2 + 2*c**2 - 3*c**3).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -202 or -2094?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 5. Let l be p(2). Let m = l + 16. Which is the second smallest value? (a) -1 (b) -1\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16*h + 25 = -21*h, 5*d + 5 = -h. Suppose d = -11*m + 29*m. Solve l - 2*l - 3 = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2790279432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(28) + -4 + ((1 + sqrt(112))*3)**2 + sqrt(112).\nAnswer: 78*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 89. Suppose 12 + 3 = 5*v, -5*v = b - 21. What is the derivative of -t + 6 + 3*z - b*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 145 = -3*j. Suppose -39 = -2*f + 3*v, -f = -4*f + 5*v + j. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67402 (base 9) in base 10?\nAnswer: -44795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43357\/4 + -10978. Let x = 389\/4 + u. What is the common denominator of 6\/(-44)*(-18 - -42) and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1)*(0 + 0 + 4)*(-2*x - 5*x - 9*x + (0*x + 5*x - 4*x)*(-3 + 2 - 1) + 3*x + 0*x - 4*x - 3*x - x + 2*x).\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 103360.\nAnswer: 103360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79212705*r**3 - 10405516*r.\nAnswer: -475276230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b + 2. Let t(h) = -26*h**3 + h + 130. Let y(j) = -d(j) - t(j). What is the first derivative of y(v) wrt v?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8698339 tonnes?\nAnswer: 869833900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2 - 4*h**2 + 5*h**5 + 7*h**5 wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10054135211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4883, -10010, -15385, -21008, -26879?\nAnswer: -32998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 93 + 2*r - 148 - 64*r + 59*r as m*r + u and give u.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1355717953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = 3*c, -4*c - 3 = x - 0. Suppose c*h - 3*h + 24 = 0. Let v(w) = 4*w. Let t be v(6). Calculate the highest common factor of h and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -o + 747, -5*i = 4*o - 616 - 122. Calculate the remainder when i is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178506045*t**2*u**3 + 36621137*t**2*u**2 wrt u?\nAnswer: -1071036270*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o - 47. Let k(p) = -11*p - 16. Let u(l) = -6*f(l) + 17*k(l). What is the first derivative of u(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(2 - (10 - 9)) - 4. Let s(v) be the first derivative of -v**3\/3 + v**2\/2 + 4*v - 1. What is s(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 939 - 618. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15265743 and 3189?\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 80. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 3, f: 2, e: 1, l: 10}. Give prob of sequence ybl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k + 132 - 1399 = 119 + 84 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 - 0.53. Sort x, 2\/31, -5 in ascending order.\nAnswer: -5, x, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrffhhhhfhjfrhfhff. Give prob of picking 2 h and 1 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Let i be g(0). Suppose -3*u - i*a + 25 = 0, 3 - 19 = -2*u - a. Solve -13 - u = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427183020 to the power of 1\/2, to the nearest integer?\nAnswer: 20668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5701, 11404, 17107, 22810, 28513?\nAnswer: 34216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/616 and -79\/99?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -12 (c) -1 (d) 0 (e) 0.04 (f) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1879366 and 548?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30730*p**6 - p**5 + 44690*p**2?\nAnswer: 3687600*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*g + 6, -3*g = -4*p - 0*p + 12. Suppose -p*a - 10 = -4*s, 0*s = 2*s - 5*a + 2. Solve r + s + 3 = -q, 16 = 2*q - 4*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 19*r - 32*r + 14*r + 38*x, x - 4 = 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 13. Let r be z(-10). Suppose -r*m = -2 + 128. Let p be (-46)\/m - 1\/1. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 + 0*d + 0*d**4 + 0*d**3 - 1\/5*d**5 - 3\/20*d**6 + 3*d**2. Find the third derivative of y(l) wrt l.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*t**2 - 142*t**2 + 1 + 76*t**2 - 536*t - 5 as w + x*t**2 + d*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*p + 11*p - 5*p)*(2*p + p - 9*p) + 7*p - 4*p + 2*p**2 - 2*p.\nAnswer: 14*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvplk. What is prob of sequence kv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((63 + -3)\/4)\/3. Let t = -3 - -3.1. Which is the closest to -1? (a) -3\/4 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-24)\/21))\/((-217)\/(-868))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4996 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.3396\nAnswer: -1.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 - 2 = 0. Suppose 2*r - 12 = -x*j - 3*r, 3*j = -3*r + 27. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t - 67*t - 72*t - 28*t - 62*t + 364*t - 53*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/((-1)\/8*1) and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - q**2 - 1 + 125*q - 125*q as f*q + p*q**2 + n and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n + 156. Let m be d(-6). Let o(q) = -56*q - 20. Let w(v) = -8*v - 3. Determine m*o(z) + 40*w(z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 3*h**4 + h**4 - 503*h**4 - 138*h**2 + 138*h**2 + (2*h**3 - 4*h**3 + 0*h**3)*(-2 - h + 2).\nAnswer: -502*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-16) - (-1)\/(-4). Find the second derivative of -31*t**u - 1793*t + 4*t**4 + 1766*t wrt t.\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125734507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1235\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 34. Let p(u) = -11381*u. Give w(p(c)).\nAnswer: -22762*c + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-9)*732\/(-3843)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-1)\/4 - -1. Let c = 1\/39 + 112\/195. What is the biggest value in c, -3, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273320 is divided by 2273250?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-11 + 1 + -1)\/(-1) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/5 + 4*z**3\/5 - 6*z**2\/5 - 8*z\/5 + 8\/5.\nAnswer: 2*(z - 1)**2*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4 - 14*d**3 - 44136*d**2 - 173*d + 7667.\nAnswer: 12*d**2 - 84*d - 88272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146305 and 8?\nAnswer: 1170440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1212056 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + n - n)*(110*n**3 - n - 110*n**3 + 3*n**2 - n**4).\nAnswer: -5*n**5 + 15*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -371 - -371. Let o(i) be the first derivative of v*i + 0*i**2 + 2 + 2\/33*i**3. Determine d so that o(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4998 = 4*r, -2448 = -3*r + 3*l + 1302. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3\/5, -60?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2490250*i - 250. Let n be x(-1). Round n to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13951368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1660 and 1333 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0 - (-10 - (5 + -15 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3946\/3*(-60)\/(-40). Suppose 0 = -12*s + 15*s - 3*b - 1491, 4*s = b + w. Calculate the smallest common multiple of s and 22.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*u + 42, -2*u + 2*b + 31 = -b. Suppose m - 4 = -l, 5*l = -4*m + 10 + u. Factor 0*j - 2\/3*j**l - 2\/3*j**3 + 0.\nAnswer: -2*j**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101138864171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 8 = -8*q. Sort q, -3, -1 in decreasing order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5 - 520*z**4 + 4040*z**3 + 27680*z**2 - 37156*z - 60280 = 0.\nAnswer: -137, -5, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -17*n + 272 - 454, -3*n - 36 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 563\/26 - 43\/2. Let d = -0.219 - -49.719. Let y = -50 + d. What is the third smallest value in 7, y, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77848 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112216375 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:26 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 35. Let x = y - -5. Let j = x - 28.0084. Round j to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 7*l - 8 = 0. Factor 20*q**2 + 19*q + 14*q - q**4 - 25*q - 19*q**l - 8*q**3.\nAnswer: -4*q*(q - 1)*(q + 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1858 + 1939. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 30*y + 455. What is v(-25)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 times 494623?\nAnswer: -52430.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041.832 weeks in days?\nAnswer: 28292.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2 + 32\/20. Let c = -160.6 - -161. What is the nearest to -1 in t, c, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*r - 11016 = 139*r - 268*r - 1904 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -793288081*h**2 - 504161477*h.\nAnswer: -1586576162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.9. Let q = -29\/35 + 1\/35. Let l = 3\/176 + 1041\/880. Put v, l, q in descending order.\nAnswer: l, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5055*g + 155488 = -8413*g - 167744 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, -7, -45, -97, -169, -267?\n\"Answer: -c**3 + 2*c**2 - 29*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*j**3 - 13737*j**2 + 11870858 wrt j.\nAnswer: 42*j**2 - 27474*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(4 + sqrt(114)\/sqrt(6) + sqrt(19) - sqrt(19))**2*6 + -1 + 5.\nAnswer: -96*sqrt(19) - 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 3, y: 4}. Give prob of sequence myyx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3967063447?\nAnswer: 19, 37, 61, 79, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15881*i**4 - 55*i**3 + 2*i**2*k - i**2 - 1087*i*k - k + 493 wrt i.\nAnswer: -190572*i**2 - 330*i + 4*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12271, 24543, 36815, 49087, 61359, 73631?\n\"Answer: 12272*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 - 0.33. Sort 2, m, 3 in ascending order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24864 and 32256?\nAnswer: 1193472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123222010002 - 103?\nAnswer: 123222003233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6890*d**2*k**2 + 32*d + 33*k**2 wrt d.\nAnswer: -13780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (964\/723)\/(320\/(-144))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -57662?\nAnswer: 57668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 93.6, 0, 33582 in decreasing order.\nAnswer: 33582, 93.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.4629 months in decades?\nAnswer: 9.5038575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13761798 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73363, -146727, -220099, -293479, -366867, -440263, -513667?\nAnswer: -587079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*g + 99 = 203 + 132 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26599*c - 132989. Determine t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10233 and 260373?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = 5. Let h be 1\/(((-15)\/12)\/z). Solve 3*j - 21 = -4*l, -h*l + 27 = 5*j - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + (13 - 22) + 6 + (-6 - -5 - -2).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2807? (a) 3 (b) 1.05 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 (base 8) in base 12?\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 561371 + -109092. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 8*d + 9. Let j(v) = v**2 - 1. Let u(r) = -6*j(r) - 2*p(r). What is the tens digit of u(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -449.4 - -445.4. Which is the closest to 0? (a) 6 (b) 50 (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -29. Which is the nearest to 6? (a) 0 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -13e9e?\nAnswer: 13eac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 2, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 48*l**2 + l - 1. Let h be v(1). Suppose -151 = -4*p + 5*r, 3*p - h = r + 68. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-7) + 990\/(-112) and -21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -436 (b) -6 (c) -3 (d) 5 (e) -1\/6 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 109*i + 1026. Give r(12).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 7*p**4\/12 + 5*p**3\/3 + 17*p**2 + p - 10. Let x(h) be the first derivative of u(h). Is x(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 22*r**2 + 12*r + 7. Let f be v(12). What is f rounded to zero decimal places?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6954.4 - -0.2.\nAnswer: -6954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 - 265*b**3 - 5445*b**2 - 5175*b = 0.\nAnswer: -15, -1, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/34 and -18?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/((-49)\/(-84)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740 and 6280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(2478*l + 1211*l - 575*l) in the form d*l + h and give d.\nAnswer: -3114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p + 9 = 3*i, -4*i = -p - 17. Suppose -z = i - 6. Let w(v) = 3 - 1 + v**z - v + 3. Give w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 0. Suppose 7*k - 4*k + 679 = -5*r, 4*r + 545 = -3*k. Let g = -799\/6 - r. Which is the smallest value? (a) t (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012315 - -5.\nAnswer: 4.987685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {w: 2, o: 1, y: 4, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1624 + -2588. Let x = 151978 + -1359106\/9. Let p = x + g. Are p and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9 - 4*r**2 + 7 - 4*r + 5 + r**3. What is g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(6804\/(-9233)) - (-112)\/756.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + -1 + -3 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/19 + -32\/57. Let d be ((-2)\/(-49))\/(10 + (-552)\/56). Which is the second smallest value? (a) -5 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39718, 159229, 358526, 637609?\n\"Answer: 39893*p**2 - 168*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/11)\/x*x*x*x**(2\/45)*x**11\/(x*x**8))**(-14\/13) assuming x is positive.\nAnswer: x**(-18578\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (925\/111)\/(110\/(-198)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(72) + -1 + sqrt(72))**2 + (5 + -2*sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2)*2)**2.\nAnswer: -134*sqrt(2) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*y = 64*y - 4771. Solve -9*b = y*b - 44 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(343) - (sqrt(343)*2 + 0 + sqrt(343))) + -3 - 4*((sqrt(343) - (sqrt(343)*1 + sqrt(343) - sqrt(343)))*3 - sqrt(343))) + -2)**2.\nAnswer: -4191 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -35.\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let t(o) = -o**2 + 13*o + 28749. Calculate g(t(n)).\nAnswer: 2*n**2 - 26*n - 57498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 144\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z - 1876*b + 1873*b - 193 = -74*z - 672, -b + 37 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 71, 58, 45, 32, 19?\n\"Answer: -13*d + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/6*3\/(-4)*(3226656\/1830)\/(-551)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1757 - -50981113\/29016. Calculate the common denominator of 75\/16 and r.\nAnswer: 58032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*h + 2298 = 2*s, 1155 = s - h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*s, 2*m + 2*s = 4*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.465654 and -0.5.\nAnswer: 8.965654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 8 + (-9)\/3. Let s be 2\/(-4) + 15\/y. Solve j = s*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -6. What is the derivative of -3*y**2 - 3 + 0*y**2 - 2*y**4 + 3*y**m wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 11*s**6\/15 - s**5\/5 + 163*s**3\/3 + 7*s - 21. Find the second derivative of l(t) wrt t.\nAnswer: 264*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (5 + sqrt(245))) + 1)**2.\nAnswer: 48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 854 + -357. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/86663 and 25\/474.\nAnswer: 519978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4433316 (base 7) to base 16\nAnswer: -855a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4466 + -5?\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*b + 3*h, -5 = -2*b - 2*h - 3. Let z = -8.2 - -9.06. Let n = 2.14 + z. What is the closest to 0.1 in n, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 9:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3807 and -74\/9?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -35*q + 15. Let a(j) = 2 + 4*j + 13*j - 9. Let i(c) = -5*a(c) - 2*s(c). Is i(-3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7236 - 7239. What is the nearest to 1\/3 in -8, t, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20364 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + (23 - 27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2939424 divided by -3\nAnswer: -979808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6853*a**4*w**2 - a**4*w + 58*a**2*w**2 - 16*w**2 + 2*w wrt a.\nAnswer: -164472*a*w**2 - 24*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-10) + 2)\/(288\/(-120))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8435631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - p - 741 = 0, 2*h = 3*p + 356 + 27. Suppose 7*o - 68 - 93 = 0. Calculate the highest common divisor of o and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*b + 10, 2*l + b - 10 = -3*l. Let z(i) = -l*i**2 + 11 - 11. Let a(k) be the first derivative of 4*k**3\/3 + 1. Calculate a(z(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 96\/(-320)*-10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 51*k - 1760 = -5*t, t - 1748 = -k. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87753 is divided by 43869?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + 1\/3. Suppose 19 = n - i, c*i + 2 = -i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16930574 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 14\/(-2) + 3. Let g = v - -8. Solve -g*s + b = -2, 2*b = -5*s - 2*b + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38832117*a**5 - 43554134*a**2 wrt a.\nAnswer: -2329927020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**2*p**2*r - 5*m**2*p - 28*m*p**2 + 2560*p**2*r + 2*p wrt m?\nAnswer: -8*m*p**2*r - 10*m*p - 28*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 2}. What is prob of sequence wyw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3. Let m(t) = 2*t**3 - 1. Determine -3*m(c) + 4*y(c).\nAnswer: -2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let d(j) = -4. Let n be ((-45)\/24)\/((-9)\/4)*6. Suppose -6*c + 6 = -n*c - y, 3*c + 2*y = -7. Give c*d(a) + k(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*x**3 + 309*x**3 - 1270*x**3 + 304*x**3 + 304*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/3 or 9509?\nAnswer: 9509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r + 1. Suppose 4*j + 2 = 3*j. Suppose -3*k + 71 = 59. Let t(x) = 9404*x - 9407*x - 3 + 3 - k*x**2. Calculate j*g(o) + t(o).\nAnswer: -2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose -7*g + 4*g = a. Suppose -3*k + 59 = -5*f, g = -0*k - k + f + 17. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3555 + 3480. Let o(d) = -64*d + 2. Let b be o(2). Let s = r - b. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595340 is divided by 223?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75114 = 39*b - 48*b. What is b rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - 18\/10. Let p be 0*(r\/(-1) + -1). Let q be 2 + (0\/(-1))\/(-1). Solve j + 0*j + q = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + h - 20 = 6*h, 0 = h + 4. Let w(v) be the second derivative of 0*v**2 + 0*v**3 - 1\/10*v**5 - 1\/6*v**4 + n - 2*v. Factor w(l).\nAnswer: -2*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 139*z**2\/2 - 1652. Let t(h) = -2*h**2. Calculate w(t(a)).\nAnswer: -278*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-18) + (-20)\/6. Let u be (20 + -8)*(-186)\/o. Let p = 851 - u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1255188452 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 411180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b0b (base 16) to base 7\nAnswer: -11146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155524 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301101 + 2?\nAnswer: -301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 3*w**3 + 3*w**3)*(w + 0*w + w) + 2 + 2*w**4 - 3 + 2.\nAnswer: 4*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*v + 14, 2*h + 4 = -4*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 10001101010011110100000?\nAnswer: -10001101010011110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.5297 + -52.3\nAnswer: -63.8297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 121510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 3)*(3 + 0 + 0)*(-18 + 13 + 25)*(-2*o - 2 + 2) - 3*o - 2*o + 2*o)*(o**4 + 3*o**4 - 5*o**4).\nAnswer: 123*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -109, -200, -379, -676, -1121, -1744?\n\"Answer: -5*l**3 + l**2 - l - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (287\/82 + 78\/(-27)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttpttppttppgptttpt. Give prob of sequence tgtt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:52 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-498)\/(-4))\/(-3) - (-5)\/10 and (8\/(-20))\/(2\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x - 22. Let o be s(6). Let z be 2\/(16\/22)*2*-6. Let b be z*2\/(-18) + (-3 - -1). Sort 3\/4, b, o, -0.1 in decreasing order.\nAnswer: b, 3\/4, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.4496 millilitres to litres.\nAnswer: 0.9484496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -95*b + 4089. Let t be j(43). Let r(i) be the second derivative of -1\/12*i**3 + 0*i**2 + 0 + 6*i + 1\/40*i**5 + 0*i**t. Solve r(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-2 - sqrt(170))\/sqrt(10) + 1 + 5.\nAnswer: -3*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(40)\/sqrt(125)) + sqrt(1584)*1*-5.\nAnswer: -55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*l**2 + 2035*l**2 - 688*l**2 - 692*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 955 and 1350?\nAnswer: 257850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 5. Let w be 14\/(-35) + 4\/10. Determine l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3159.1 - 2975. Let q = -184 + u. What is the closest to q in -2, 0.4, -1, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 5*b**2 - 5*b**2 + 0*b**2 - 5*b**2 as n + r*b**2 + f*b**3 + z*b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvgvggjggvvgj. What is prob of picking 1 j, 2 g, and 1 v?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c = 77*c - 56 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 7\/2*j**2 + 0*j**4 + 8 - j**3 + 0*j + 1\/10*j**5. Let i(c) be the second derivative of n(c). Differentiate i(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b + 9. Let k be f(2). Solve -k*t + 4*w - 13 = -2*t, t - 3*w + 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -92, -74, -26, 64, 208, 418, 706?\n\"Answer: 2*g**3 - 3*g**2 - 5*g - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0193 + 0.019301193. What is n rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187949991 to the power of 1\/2, to the nearest integer?\nAnswer: 13709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1324\/49 + -190\/7. Let r be (-32)\/(-56)*(-21)\/(-30). Let a = 0.26 + -0.06. Sort a, r, y.\nAnswer: y, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2490962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.341948 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w + 159 = 0. Suppose 4*g = -2*u - 1162, 629 - w = -2*g - 2*u. Let o = -208 - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 11:20 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012671598 rounded to six dps?\nAnswer: -0.001267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) -0.1 (d) 2741\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 39668?\nAnswer: -3\/39668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dttd when four letters picked without replacement from {t: 4, e: 2, d: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 5736220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + s + (-4*s + 5*s + s)*(3 - 2 - 3) + s + 0*s + 4*s + s - 1 + 1 - 2*s + 2*s + 2*s)*(s - s - s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(-2\/35))\/(r\/((r\/(r**(-8)*r))\/r))**(18\/5) assuming r is positive.\nAnswer: r**(684\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 - 15*g**4\/2 - 31*g**3 - 17*g**2 + 63*g\/2 + 49\/2 = 0. Calculate g.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c - 221*c - 96792 = 702*c + 6232 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.421182 meters to micrometers.\nAnswer: 421182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42946 (base 12) to base 10\nAnswer: 87750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554288 divided by 388572.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttm when three letters picked without replacement from mtrwm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12781 + 24333. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Let v be (-14)\/2412*(-5972)\/t. Let b = v + 1\/1809. Find the common denominator of b and -5\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3 - ((-13 - 10) + -7658) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 45*g**2 - 614*g + 24. Let r be (-2)\/(0 + -2)*2. Suppose k = x + 16, -k + r*x + 48 = 2*k. What is the lowest common multiple of k and c(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3898.14 + 3847. What is d rounded to zero dps?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*t - t. Let u = -16 + t. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.09 - -9.09. Let s(a) = -a**3 + 12*a**2 - 14*a + 6. Let v be s(9). Let y = v + -2089\/17. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*x**3 + 34*x**3 - 4*x**4 + (-x**4 + 3*x**4 - x**4)*(-6 + 2 + 2) - 11216*x + 122*x**4 + 11216*x.\nAnswer: 116*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 5*d + 5. Let f be c(-2). Suppose -4*w + 7678 = 4*x - 2658, -4*x - f*w = -10331. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3497c - e6?\nAnswer: -34a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328417.\nAnswer: 23, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 + -0.14. Which is greater: u or -1.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*15\/(-10))\/(66\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1811*r**2 + 7*r**3 - 10*r**3 + 1 + 20*r + 1811*r**2 in the form t*r + c*r**3 + i + o*r**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4616360 by 577045.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1) + (-6)\/(-2). Suppose 4 = -u - 3*k - 7, -c*u + k + 17 = 0. Suppose -u*y + 2 = -34. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -6) + -6 + (-47)\/1. Is j less than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1008) + -1 - sqrt(1008)) + 5*(-1 + sqrt(1008)) - (5 + -1 + sqrt(1008) + 5)) + 1)**2.\nAnswer: -768*sqrt(7) + 16192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4136521 (base 8) to base 13.\nAnswer: -2c544a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12343 - -135923\/11. Let l = u - 5228\/385. Let q(a) = a**3 + 7*a**2 + 6*a - 1. Let f be q(-6). Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, k: 2, w: 3, q: 1, y: 5}. What is prob of picking 3 m?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81bb - 10c?\nAnswer: 80ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 39525.3?\nAnswer: 1343860.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 830 and 5810?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 6*q**2 + 4*q - 1. Let c be g(-5). What are the prime factors of (-3 + 6 - c)*-66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292350915.\nAnswer: 5, 3691, 124213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and 4.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 * 3\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-424)\/(-318)*-1*(-12)\/(-112)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from lliinnlilnlll?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(2*4))\/(3\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 79 = -2*d, 32 = 2*r - d - 0*d. Let t(f) = f**3 + 6*f**2 + 6*f + 7. Let h be t(-5). Solve -k - 3 = h*y - 10, -3*y + r = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a4 (base 11) to base 4\nAnswer: -13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 0.1 (c) -16 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 247265.2 rounded to the nearest one thousand?\nAnswer: 247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -872 + 889. Put -4, w, -2 in decreasing order.\nAnswer: w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 46, 43, 38, 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -4, -3 in ascending order.\nAnswer: -14, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*-5*sqrt(72)*1*4 - 4*sqrt(72)*1*-1*3)**2.\nAnswer: -194688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((6\/(-14))\/((-30)\/(-3) - 7)). Let v = 2\/271 + -827\/1897. Put v, z, -5 in decreasing order.\nAnswer: v, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/2488 - 36551\/52248. Calculate the common denominator of 41\/8 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m**4 - 37177*m**3 - 1012*m - 963752261?\nAnswer: -16*m**3 - 111531*m**2 - 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100005926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/20 + -11\/60. Let y = 178 - 1242\/7. What is the smallest value in 1, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - l**3)*(-8 + 8 + 27*l**2).\nAnswer: -27*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 24. Calculate the remainder when 16 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 28. Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185826*d**2 - 91358*d**2 - 216 - 91321*d**2 wrt d.\nAnswer: 6294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2 + 2)*(-9 - j + 9) + (0 - 5 - 3)*(-j**3 + j**2 - j**2).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:26 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 16. Let v be p\/10 + (-184)\/40. Which is the nearest to 0? (a) 3\/4 (b) v (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -443, -1174, -2267, -3716, -5515?\n\"Answer: b**3 - 190*b**2 + 200*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09219 + 2.09219. Which is the closest to m? (a) 1\/29 (b) 0.2 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/2 + 54387*d**3\/2 - 190293*d**2 + 217440*d + 434928 = 0.\nAnswer: -1, 4, 18122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291, -2579, -3865, -5149, -6431, -7711, -8989?\nAnswer: -10265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88135289027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 143. Let t = o - -113. Solve 0 = -3*u + 5*m + 8, 2*m + 8 = t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -28*d**2. Let t be (7 - ((9 - -2) + -4))\/1. Let y(h) be the second derivative of 0 + 1\/12*h**4 + 0*h**2 - 18*h + t*h**3. Give y(b(o)).\nAnswer: 784*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34056 is divided by 8224?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b + 17\/3*b**3 - 2\/5*b**5 + 0*b**2 + 127 + 9\/2*b**4. What is the third derivative of y(i) wrt i?\nAnswer: -48*i + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 + u**4\/4 - 7*u**3\/2 - 7*u**2 + 2*u + 8.\nAnswer: (u - 4)*(u - 1)*(u + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q + 6. Is a(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 15*m**3 + 13*m**3 + 41577*m**2 - 41523*m**2 as c*m**2 + y + b*m**3 + z*m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -86 (b) -0.19 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1695 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 321678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + t - 2327 = -4*z, -2*z + 1156 = -2*t. Let j be (-2)\/5 + z\/(-35). Let m(r) = -14*r - 55. List the prime factors of m(j).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13363381 to the nearest 10000.\nAnswer: -13360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 27 - 2 = 0. Suppose 0 = 3*x + l*y + 7, -5*x + 5*y + 3 = -12. Let a be (-4)\/(1 + -5 - -2). Put -5, a, x in decreasing order.\nAnswer: a, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209 = 2287*y - 4580*y + 2332*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138348 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 + 5 - (2 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 813491 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1808629219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/252*-9*21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -15. Let w be o\/(-4)*(3 - 1). Calculate the highest common divisor of w and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(-4 + 2 + 1)*(-11*z**2 + 2*z - 2*z).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 35 = 3*l. Solve -2*v - l*h + 14 = 0, -2*h = 2*v - 0*h - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235 + 678. Let w = x - -250. List the prime factors of w.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754071343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 1325*u - 1319*u + b, 0 = -2*u + b - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*c - 21, 2 - 3 = 2*m + c. Suppose 0 = 4*o - 2*o - 30. Let h = o + -10. Put m, -1, h in decreasing order.\nAnswer: h, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10*440\/(-132))\/14*-23\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 0.067, -5 in decreasing order.\nAnswer: 27, 3, 0.067, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**3)\/f)*f**(-6))\/(f\/(f*f*f*((f**(2\/3)\/f)\/f*f)\/f*f))**(-46\/3)*((f**(4\/3)*f)\/f**3)\/(f\/(f**4\/f)*(f*((f**(-6)\/f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.05 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383881 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**2 - 23*o + 304 wrt o.\nAnswer: 4*o - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/2611 (b) -10827 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.018436 times 1\nAnswer: -0.018436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12)*-2)\/((-1)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18*1)\/(-5*6\/(2520\/1281))?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009254 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - 120525\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 8 = 0. Let y be 15\/6 + (-2)\/o. Let f(u) = u**3 - 2*u**2 + 2*u + 1. Give f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37185 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Let n(m) be the third derivative of 0 + d*m + 1\/60*m**5 + 0*m**4 + 1\/6*m**3 - 2*m**2. What is the derivative of n(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256, -2504, -3748, -4988, -6224, -7456?\nAnswer: -8684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.4, -10, 19677, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51560023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = -3*v - h, 4*v + 4*h - 207 = -1207. Let n be (-66)\/272 + 5\/(v\/(-6)). What is the second biggest value in 2\/49, 1, n?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -2. Let k be (104\/a)\/(1\/3). Suppose -k = 4*m - 8*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928937 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/231 + -52\/231. Which is the biggest value? (a) 2\/3 (b) 2 (c) f (d) -1\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*l - 16 = 0, 52 - 51 = 4*a - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuiuuiiuuiiuiuuiuiiu.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.14564 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/7)\/(-1))\/(9\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*i**2 + 1594*i + 1497*i - 3091*i + 176*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/162122 or 0?\nAnswer: -45\/162122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/38*163476\/4302)\/(1\/(-14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -2*u - 1\/4*u**4 + 0*u**5 + 0 + 0*u**3 + 0*u**2 - 1\/5*u**6. Find the third derivative of r(v) wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(4*m - 2 + 2) + (-2*m + m - m)*(5 - 2 - 2) + m - 3*m + 0*m as q + l*m and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(288) + sqrt(288) - sqrt(288)) + 2*sqrt(288) + 5.\nAnswer: 6 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -32*s + 3. Let p(d) = 2400*d - 224. Give -6*p(a) - 448*y(a).\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from tjjjtfftnxtjjjf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-11 + 10 + 3\/(-5)). Let r(u) = -12*u + 16. List the prime factors of r(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from kkkkkkkfkkkkfffkkkk.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Let w(r) = 32*r**2 - 4*r - 3. Let x be w(-1). Suppose 0 = 5*l + 5, -j*m - 3*l = -2*m - x. Solve -3 = 3*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 524 and 525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 192 = 4*f, 4*g - 3*g + 4*f - 51 = 0. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835355045?\nAnswer: 5, 7, 19, 61, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262747*d**3 + d**2 - 3*d - 12089860.\nAnswer: 788241*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 26*z - 44. Let v be o(24). Solve -v*f - 8 = -t, 0*f - 8 = 4*f + 3*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 397, 623, 885, 1195, 1565, 2007, 2533?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-9 - (-1 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e9 (base 15) to base 3.\nAnswer: -22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3852951, -3852959, -3852967, -3852975, -3852983, -3852991?\n\"Answer: -8*d - 3852943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/3 - 0 - (14924\/(-156) - -95)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 + 3*a + 5. Let i(k) = -k**2 - k - 1. Calculate -4*i(c) - y(c).\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171)*1*5*6)\/(sqrt(108)\/(2*sqrt(12)) + sqrt(81)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210764 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from dat.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42651 - -22.17\nAnswer: 42673.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -204, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211001010220 (base 3) to base 13.\nAnswer: -27a4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -64. Let x = l + 43.9. Let h = -7 - -5. Which is the biggest value? (a) 0.3 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:33 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33427519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9a1 (base 14) to base 16.\nAnswer: 11e21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/7 (b) 4 (c) 6656 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -12*b + 27\/112*b**7 - 77\/160*b**5 - 3\/8*b**4 + 0*b**2 - 1\/12*b**3 + 3\/20*b**6 - 3. Find y such that a(y) = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922144049.\nAnswer: 3922144049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711 divided by 2143?\nAnswer: -1711\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 + -10 - -4)) + -19 + 95?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 4210 = 3972 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 8. Suppose -m = -v - v. Let p be 21\/12 + 1\/4. Solve p*l = v*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1590 or -2?\nAnswer: -1590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 5*s. Suppose 3*i + a - 15 = 14, 3*i - 17 = 5*a. Let p(v) = 2*v**3 - 2*v. Calculate i*p(k) + 4*q(k).\nAnswer: 6*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/24 + y**3 + y**2. Is 7 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 29 = -5*p, -2*p + 62 = 2*y - 7*y. What is the fourth smallest value in -5, 20, y, -0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12352\/6 - (-180)\/135. Let o = v - 1191. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1727*w**2 - 1732*w**2 - 1799*w**2 - 1729*w**2 + 8693*w**2 - 1727*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204.06 - -211. Round r to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.464834 to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*z + 19, 3*m + 2*z = 15. What is the nearest to m in 5, 0.5, -788?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(100)*1))\/(sqrt(243) + (sqrt(243) - 2*(2*sqrt(243) - sqrt(243) - sqrt(243))) + sqrt(243)).\nAnswer: sqrt(3)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89672993?\nAnswer: 173, 518341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/29 (c) -5 (d) -3446 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(88\/16))\/(-4 + 2). Let n(w) = 126*w**3 + w**2 - 5*w + 3. Determine n(y).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -1 - (41 - (-5 + 25))) + 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (337770\/30024)\/(2\/((-152)\/(-9)))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112706 and 418?\nAnswer: 2141414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.2 + -61.2. Is m >= -0.001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 12.7. Let a = -6 + m. Let u = a + 6.7. Sort u, -3\/5, -3\/2.\nAnswer: -3\/2, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/54)\/(3\/(54\/8))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1400 and 15796760?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryoyyyae. Give prob of picking 1 y and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-1 + 1 - 1)*(-2 + 2 + g) to p + d*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) 5 (b) -0.24 (c) -2\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) - (-1*sqrt(352) + sqrt(352))) + sqrt(352))\/sqrt(11).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 + -1)\/2)\/((-1)\/(-2)). Let a(x) = -42*x**2 + 49*x. Let u(c) = -c**2. Let m(n) = s*a(n) - 6*u(n). Find the second derivative of m(t) wrt t.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 1 = -39 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940916?\nAnswer: 2, 17, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let h(b) = 325*b**2 - 7. Let m(s) = -216*s**2 + 5. Let q(v) = 5*h(v) + 7*m(v). Give q(o(c)).\nAnswer: 113*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3204134 - -2?\nAnswer: 3204141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 8*n**2 - 9*n + 7. What is m(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -5*i - 17. Calculate the remainder when 406727\/5151 + 4\/102 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -84 (b) -5 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**3 + 21*p**3 - 42*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 7 + (-2 + 1 - -3). Suppose -3*y = -3*c + 2*y + 11, -v*y - 12 = 0. Let w = 2 - 4. Is w at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 h when four letters picked without replacement from hqjohoqqhhoqh?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074800 (base 9) in base 7?\nAnswer: 32002146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/66 - 40*f**3\/33 + 76*f**2\/11 - 1131*f. Factor k(u).\nAnswer: 2*(u - 38)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -831, -1014, -1531, -2550, -4239, -6766, -10299, -15006?\n\"Answer: -28*a**3 + a**2 + 10*a - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 3*o, -4*j + 10*o = -4*o - 2*o - 120 + 28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865310751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouoo when four letters picked without replacement from uououuuuuououo.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/3)*w)\/w)\/w)**(-43))**(-1\/10) assuming w is positive.\nAnswer: w**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47724 by -12.\nAnswer: -3977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 5)*(-2)\/1. What is the third derivative of 2*d**4 - 2*d**2 + l*d**3 + 0*d**4 - 2*d**3 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 32 = 4*v, 6*d - v - 42 = 2*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -919.033 + 919. Let r = g + -0.501. Round r to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 499*x**2 - 15*x - 4. Let d(f) = -499*f**2 + 11*f + 3. What is -4*d(p) - 3*i(p)?\nAnswer: 499*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249766 is divided by 15603.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q - 11. Let u be b(3). Let z = -30 - u. What is the highest common factor of z and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddy when four letters picked without replacement from {d: 5, y: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 185218840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 27. Let t be 11 + (1 - g)\/2. Suppose t*b - 2640 = -570. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 6*k**3 + 30*k**2 - 55*k + 57. What are the prime factors of b(17)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3\/5, -22, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/7168 and 29\/16.\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*t - a, -3*a = -14 + 5. Let f be -3*(-5)\/(t - 7). What is the closest to -1 in 1\/6, -1\/6, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3400)\/30)\/17)\/(44\/165)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) - 1*sqrt(192))**2 + -4 + 5 + sqrt(192) + sqrt(192) + (sqrt(192)*-1*-5)**2 + 3.\nAnswer: 16*sqrt(3) + 4808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -28. Suppose f = -2*b + 27 - 11. Solve 4*a = 5*y - b, -4*y = -a - 3*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -4\/7 (b) 0.01 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.1883411?\nAnswer: 0.1883411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82011746 and 14.\nAnswer: 574082222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 6. Let l be i(11). Let y be (-15)\/(-6)*1\/l*10. What is the greatest common divisor of y and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.6 (c) -3 (d) -1 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -739*q + 758*q - 131. Let z = 6 - 3. Let k be (q + 0 + -2 - z) + 23. Solve 5*g = -4*m - k, g = -0*g + 5*m - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11140 - -12343. Calculate the remainder when x is divided by 400.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/21 and -40\/279.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+10.198\nAnswer: 10.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57702*i**2 - 115430*i**2 + 57729*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 26*z + 26*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/72 and -17\/44148.\nAnswer: 264888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(1\/30)\/(h**3*h)**(-6\/13) assuming h is positive.\nAnswer: h**(2867\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -16. Suppose 0 = -2*k - q. Which is greater: k or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 4. Suppose 116*t + 216 - 175 = -655. What is f(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 13*v = 0. Let j(c) be the third derivative of -1\/15*c**5 + 0*c + 0*c**3 + v + 2*c**2 + 0*c**4. Let f(m) = -m. Give j(f(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.22025km in millimeters?\nAnswer: 55220250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/60)\/(18\/60).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3066205 - -5?\nAnswer: 3066213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(7\/3 + -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554685 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(3*t + t - 2*t) - t - 2*t + 0*t + 9 - 5*t - 9.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - h + h + 1 - 1 + (0 + 0 + 2)*(2*h - 2*h + h) + (3 - h - 3)*(-1 - 6 + 11) - 2*h - 2*h + 2*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-33 - (-30 - 44))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, g: 1, z: 1, e: 3, c: 2}. Give prob of picking 1 e, 1 p, 1 z, and 1 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/2970*-6)\/(-5 + (-196)\/(-40)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -184 (c) 3\/115 (d) -3 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 8)\/(6\/144). Suppose -4*n - l + 1828 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1741b1 (base 13) to base 9.\nAnswer: 1074041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - g + 24 = 3*g, 3*t + g - 13 = 0. Suppose -3*h - 2*i - 11 = 0, 3*h + t*i = -h - 16. Let n(m) = 6*m + 7. Let a be n(h). Are a and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4751*c**2 + 6669*c**4 - 9293*c**4 + 5516*c**4 wrt c?\nAnswer: 69408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 15*n**2 + 40*n - 11. Let x be w(-3). Solve -14*m + x*m + 153 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z + 27*z - 14*z. Let a(y) be the third derivative of y**4\/12 - 149*y**2. Calculate a(d(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0\/(-1))*-3 + 532\/((-610736)\/6396).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let u(i) = 3*i + 1. Let a(d) = 10*t(d) - 4*u(d). Let r = 60 - 56. Suppose -4*j + r = -8, -27 = 2*m - 5*j. Calculate a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25384?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-204)\/27)\/(-34) + 276312\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4477.882nm?\nAnswer: 0.000000004477882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 52. Let m = l - -40. Let b(g) = -4*g**2 - 387*g - 620. What is the remainder when b(-95) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -48 + 66 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9550 = m. Round m to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 55547.5\nAnswer: 55547.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3323572 + 5*v**2 + 3323572.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -173?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25.2 * -3.6\nAnswer: 90.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14ce8 (base 16) to base 11\nAnswer: 59037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 1.4. Let c = 3.6 - o. Let d = -9 - -11. Put 9, c, d in increasing order.\nAnswer: d, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (-56 + 41 + -2 + 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**7\/70 - 5*x**6\/8 - x**5\/2 + x**4\/8 - 147*x**2 - 2. What is the third derivative of k(a) wrt a?\nAnswer: 72*a - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1876 + 0.9894. Let s = -1.177 + n. Let k = 0.2 - 0. What is the nearest to s in -1, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4052 or -4050?\nAnswer: -4050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5126 - -5125.89. Put 2\/5, 7\/5, 7, c in ascending order.\nAnswer: c, 2\/5, 7\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/4 + 18309*q\/2 - 989415\/4 = 0 for q.\nAnswer: -36645, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -234*i + 1165. What is x(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 556 = 9*q - 6*q, 0 = -2*u + 4*q + 212. Suppose -5*x = -41 - 9. Calculate the highest common divisor of u and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 10. Let z = 139 + n. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -159. Let c = -51 + t. Suppose -4*a + 343 - c = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 - -33 - -54 - (-21 - 1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2320540 (base 9) to base 3\nAnswer: 2100200121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -x - 3*d + 8, 4*x = -3*d + 13. Suppose -5*p - 4*b - 180 = 0, p - 5 = -x*b - 41. Let l = p + 87. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -43864 and 49085163.\nAnswer: 49041299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*s + 450 = -24*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = 2*q - 10*q + 48 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z. Let r be u(4). Let x = 20047 - 20062. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8237619 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186365969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 18. Let k = 9.03 - 0.03. Let z = k + -8.9. What is the closest to z in 0, -14, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-3 - 0 - -8) - 17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*p**2 + 8*k**2*p - 3*k*p - 8*p**3 + p**2 wrt p.\nAnswer: -8*k**2 - 48*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*s = -3*w + 6, -5*w - 3*s - 13 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3077075.\nAnswer: -3\/3077075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 6)*(l**3 + 3*l**3 - 2*l**3) + 3*l**3 + 0*l**3 - l**3)*(104*l - 105*l + 431*l) as z + o*l**2 + v*l**4 + w*l + q*l**3 and give v.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 681743315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39 + -38 - 10\/14. Which is the fourth biggest value? (a) 2\/5 (b) -0.8 (c) v (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(-6 + 2 + 2) + (3 - 1 - 5)*(-n - n + 6*n) - n + 14*n + n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1730844922 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 8*d - 6. Let u be (-9)\/15*15\/(-1). Let n be k(u). Let x(i) = -n + 7 + i + 3. Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let r be ((-8)\/(-6))\/((-8)\/(-12)). What is the derivative of 3*v - m - 3*v + 2*v**r wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*d**4 - 146*d**2 - 2 wrt d?\nAnswer: -6840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2833267453 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 47*l - 43. Let d be k(-18). Find the third derivative of d*f**2 + 16*f**6 + 70*f**2 + 252*f**4 - f**6 - 250*f**4 wrt f.\nAnswer: 1800*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 785.4776 litres?\nAnswer: 785477.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 - 54 - 49 - 15*y in the form p + v*y and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 4*z - 36. Let t be w(-17). Let g = t - 678. List the prime factors of g.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**21*o*o)\/o**(3\/16) assuming o is positive.\nAnswer: o**(-291\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a - 1392 = -85*a. What is the highest common divisor of a and 580?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10794?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -963*q + 4333. What is the units digit of j(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/293 + -499\/8497. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose -5*l = i*l - 35. Let u(o) = -9*o + 5. Let j(v) = -44*v + 24. What is l*j(w) - 24*u(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -0.06 (b) -0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -111022120121200 (base 3) in base 14?\nAnswer: -d23418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1307*f**2*r**3 - 4653*f**2*r + f**2 - 2*f*r**3 + 71*f*r - 30*f - 3*r**3 - r**2 - 11*r wrt f?\nAnswer: 2614*r**3 - 9306*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925263 is divided by 1958?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2122\/7 + -304. Let p = 188 + -181. Which is the nearest to -2\/3? (a) p (b) 2\/15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:31 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**7\/126 + w**6\/45 + w**5\/15 - w**4\/18 - w**3\/6 - 28*w. Let u(m) = 0. What is m?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/11))**14\/(y**2)**(-20\/3) assuming y is positive.\nAnswer: y**(818\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5424 - -7757. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86085083 + -86094111.5862. Let g = -9046.6 - f. Let h = 18 + g. What is h rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 - 380*n**2 + 146*n - 72. Calculate f(63).\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 187*y**2 + 3*y - 2. Let t be j(1). Let c be -1 - 0 - (t + -4). Let q = -14 - c. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/105)\/(32\/(-62400)*-45).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {a: 9, y: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(140) - sqrt(140) - sqrt(140))\/((sqrt(28) + sqrt(7) - sqrt(7))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 3, w: 1, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -24)*(3 + 22\/(-6))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-317.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 24) + (22 - 60)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + 0 + (sqrt(175) - (sqrt(175) + (sqrt(175) - -1*sqrt(175))))**2 + 1 + sqrt(175) + 1 + 4.\nAnswer: 5*sqrt(7) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 67*n**3 + n + 2. Give w(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/30)\/((-220)\/30 - -8) - 16\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9881787 millimeters in kilometers?\nAnswer: 0.0000009881787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 4) to base 14.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51160287.\nAnswer: 3, 83, 205463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486122 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 183, -2, 3, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 61*l. Let t(w) = w - 1. What is c(k) - 2*t(k)?\nAnswer: 59*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111100010010000101 (base 2) in base 10?\nAnswer: -1557637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03033, 213, 39 in decreasing order.\nAnswer: 213, 39, 0.03033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2\/2 + 39*f - 185. Let x(r) = r**2. Give x(w(i)).\nAnswer: i**2 - 78*i + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 11*g - 26 - 2 + 0*g.\nAnswer: -5*g - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t + 207. Let y be u(-12). Let h(s) = 10*s**3 + 4*s**2 + 7*s + 3. Is 66 a factor of h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*x - 26*x = -183*x + 1291*x - 43638 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/20*q**6 + 4*q**2 + 0*q + 0*q**3 + 0 - 2\/15*q**5 + 0*q**4. Find the third derivative of n(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 35. Let j(p) = -159*p + 2. Give j(d(t)).\nAnswer: -159*t - 5563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 5*b - 2*k, 3 = -2*k + 9. Calculate the smallest common multiple of (-3)\/((-15)\/b) - -8 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 45146*w**3 - 255198510*w**2 + 4832487702*w.\nAnswer: -2*w*(w - 11277)**2*(w - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 58 - ((-60 - -26 - -26) + -15).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 3:45 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 62*d**2 - d - 5. Let q = 23 + -28. Let x(u) = 61*u**2 - 6. Let m(z) = q*x(z) + 6*c(z). Find the second derivative of m(i) wrt i.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.66 + -0.06. Let w = -1\/1247 - -2503\/11223. Which is the second smallest value? (a) 0.2 (b) s (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -55\/4 (b) 19 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 307935 and 2700?\nAnswer: 6158700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394258, -788315, -1182394, -1576507, -1970666, -2364883?\nAnswer: -2759170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 934*k - 935. What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s**2 + 62*s**2 - 6*s**2 + 6 - 28*s**2 + 6*s. Let b(z) = -220*z**2 - 77*z - 77. Calculate -6*b(a) - 77*q(a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/(c\/((c*c**10\/c*c)\/c)))\/c)\/c)\/(c\/(c*c*c*c\/(c*c\/((c**(2\/3)*c)\/c))*c*c)))**31*c**0\/c**(2\/9)*c**(2\/11)\/c**(2\/3) assuming c is positive.\nAnswer: c**(38804\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1492 - 1496. Let i(j) = -2*j + 1. Let f be i(-2). Sort o, f, 7 in increasing order.\nAnswer: o, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245697466 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.67 + -0.77. What is the closest to 0 in 16, -0.2, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20553533*d**3*p**3 - 3*d**3*p**2*s - 1533*d**2*p**3*s - 455*d**2*p*s + 5*d*p**3 - 2*d*p**2*s wrt d.\nAnswer: -123321198*p**3 - 18*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -44, 4, -1\/3, -434?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - 8 - (0 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1266 - -1255 - (0 + -36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 3*c**2 - 7*c**2 - 7 + 3*c**2.\nAnswer: -c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by -1804?\nAnswer: 153\/1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l. Let f(x) = 24*x**3 + x**2 + 7*x. Let m(d) = -4*f(d) + 36*o(d). Factor m(c).\nAnswer: -4*c*(3*c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8037850?\nAnswer: 2, 5, 160757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v - v + 3*v)*(-2*v + 3*v - 2*v) - 18*v**2 + 0*v**2 - 5*v**2 - 7*v**2 + 0*v**2 + 4*v**2)*(-2*v**2 - v + v)*(2*v + 4*v - 3*v).\nAnswer: 150*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 + 4 = 3*c, -o + 5*c = 15. Suppose 0*q + 3*q - 225 = o. Suppose -t = 4*l - 40 + 10, t = 5*l + q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340 - 182. Suppose -h = 10*p - 478. What is the remainder when 127 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334 + 207. Let w = h + 316. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421122134 - 0?\nAnswer: -2421122134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/45)\/(2\/(-1910)*2). What is the remainder when s\/14 - (-6)\/14 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r + 223. Give i(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-13 + 6)) + (-2 - (-9 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 47*o - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 5\/4 (b) 0.3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q + 6. Let f = -4 - q. Suppose 5*b - f*g - 20 = 0, 7*b = 3*b + 2*g + 18. Solve -b*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -433 + 866 - 433 + 96*f - 4106*f in the form h*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3272229 millilitres?\nAnswer: 0.0003272229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2973*f - 434. Let a(q) = 7*q. Give a(v(n)).\nAnswer: 20811*n - 3038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -387 + 387. Solve -o = -9*m + 12*m - 9, 5*m - o - 7 = x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 + 5*m + m + 9*m**2 + 3. Let b = 35 + -21. Calculate the smallest common multiple of b and x(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 - t**3\/6 + 17*t**2 - t. Let o be s(0). Suppose -4*z + o + 10 = 0. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + t - 2*t + 5*t - 1 + 1 + 0*t - t + 2*t + (6 - 4 + 0)*(1 + t - 1).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u - 3*u + 0*u)*(-38*u - 25*u + 49*u).\nAnswer: -28*u**3 + 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/63 + 32\/6. Suppose t*d + 2*c - 46 = 0, 5*d - 45 - 9 = 2*c. Is 19 a factor of d\/8*(9 + 27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2. Let x = 7 - 4. Let i(n) = -5*n + 6*n - x + 3. Give l(i(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46013d - -2?\nAnswer: 460141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 1.96. Let r = 0.52431 - 0.62431. Which is the nearest to r? (a) 3 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3385)\/2031*12\/(-110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127010720 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*x**3 - 12*x**3 - 11*x - 13*x**3)*(3*x - 2*x + 0*x) + 0*x**2 + x**4 + 0*x**2 + (-2*x**3 + 2*x**3 + 2*x**3)*(4*x + 0*x - 2*x).\nAnswer: 7*x**4 - 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -12. Solve -3*z + 5*y + 30 = o, 4*y - 4 = -5*z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1910.4 + 1910.391339. What is f rounded to four decimal places?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.6 + 72. Let q = r + -45. Which is the second smallest value? (a) q (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2290\/11 + -208. Let a be (-16)\/(-80) - (-10)\/75. What is the nearest to -3\/5 in a, 1\/9, h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/262514 and -44\/1406325.\nAnswer: 19688550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39852001?\nAnswer: 7, 241, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-44252)\/391 + 142 - (27 + 2)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4\/13, -7, -4\/7?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -4 + (-7 - -7) + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71549925 divided by -4825\nAnswer: -14829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2203*x**4 + x**3 + 2*x + 4403*x**4 - 2*x**2 - 2202*x**4 as q*x + s*x**2 + y*x**3 + v*x**4 + g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*f + 36 = 0, 2*g + 813*f - 69 = 804*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5, -w - 167 = -5*i + 139. Let a be (6\/9)\/((-2)\/(-141)). Suppose -v + a = 2*r, -2*r + i = 2*v + 11. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 9*u**2 + 9*u - 18. Let t be g(8). Is 228\/10*t\/(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 2. Is r != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - ((-10)\/2 + 4)) + -12. Let q = j - -33. Solve 5*n = 5*h + n + q, 3*h + 16 = 5*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 + 9 = 2*h, -2*t = -3*h - 2. Suppose p + z - 4 - t = 0, 3*z - 30 = -4*p. Calculate the least common multiple of p and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-81)\/324 + 3\/(12\/85)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(220)\/sqrt(11) - -3*-3*sqrt(5))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 7. Let o(u) = -4*u + 6. Give -3*o(h) - 2*z(h).\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 435\/(-25)*(-220)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-4)\/(-40))\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 + 95*w**3 - 6*w**2 - 25*w**3 - 28*w**3 - 23*w**3.\nAnswer: -w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/8*16\/(-24)*-2. Suppose 0 = -2*w + 10, 0 = g*d + 5*w - 4*w - 120. Solve -3*c - 4*a = 2*c + 33, 3*c + 4*a + d = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -57, -84, -111, -138?\n\"Answer: -27*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = c + 99 - 75, -3*c = 5*f + 12. Let s(u) = 79*u**3 - u. Calculate the least common multiple of f and s(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 + 20210?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4401954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 25. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/19 - 1844*k\/19 - 33840\/19 = 0.\nAnswer: -18, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1634, -6521, -14672, -26093, -40790, -58769, -80036?\n\"Answer: -i**3 - 1626*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238126*m**4 - 2*m + 11877 wrt m?\nAnswer: 2857512*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 57\/4. Let l = 2 + 3. Which is the second smallest value? (a) -3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*a + 21*a = -452 - 1268 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 6*k + 0*k)*(2*k - 6*k + 3*k + (4*k + k - 2*k)*(0 + 5 - 3) + 0*k - 2*k + 4*k) to the form c*k**2 + q + p*k and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4325)\/692)\/(5\/8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 h when three letters picked without replacement from {z: 3, k: 1, e: 6, t: 2, h: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40439892.\nAnswer: 2, 3, 3369991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40524*h*l**2 - 5*l**2 + 76057*l wrt h.\nAnswer: -40524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/4 - 27*k**2\/8 + 15*k + 382. Suppose f(m) = 0. What is m?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20290131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.37 - 3.726. Let z = 0.356000052 + r. What is z rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 950*y + 8 - 3 + 950*y + 2 + 5*y**3 - 3*y**3.\nAnswer: 2*y**3 + 10*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7385 - 911*o + 757*o + 67*o + 2*o**3 - 1168*o wrt o?\nAnswer: 6*o**2 - 1255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + o**2 - 2*o**3 + 32*o**2)*(4 - 2 + 0)*(0 - 2 + 6).\nAnswer: -16*o**3 + 232*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 14*(-1)\/2. Suppose c*u = 2*v - 18, -2*v = 4*u + 1 - 3. Solve v*h = -4*j + 2*h - 5, 3*j = 3*h - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca - d?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a factor of 252889966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -15. Let t = p - -7. Suppose n + 9 = -3*n + t*o, 8 = -4*n + 4*o. Which is the closest to 0? (a) -1 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 157*f\/4 - 405\/2.\nAnswer: (f - 5)*(f + 162)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 0 + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512847.\nAnswer: 2512847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -54 (c) 26711 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/16*3*4\/60*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 p when three letters picked without replacement from {g: 2, p: 4, z: 1, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 1. Let c be 3 + (-1 + s - -3). Solve 3 = g + c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (-4 + sqrt(1539) + -3*sqrt(1539))*3)**2.\nAnswer: 648*sqrt(19) + 55440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 10*h - 15*h - h**3 + 4*h - 9 as z*h**3 + c + l*h**2 + d*h and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 100.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -257.377 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.995 - 0.675. Round y to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*w - 33 - 59 + 8 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose w = -l - 0 + 3. Let f = 5 - l. Calculate the least common multiple of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78936\/(-33033) + 7\/((-308)\/8))\/(33\/98).\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose -4*s = 4*p - m, 3*p + 2*p = 2*s + 12. Sort 3, 0, p in decreasing order.\nAnswer: 3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0 + -3)*3. List the prime factors of (-6)\/d + 80\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 48. Let x = 33\/2 - i. Which is the smallest value? (a) 0 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -12. Let z = p + 9. Find the second derivative of 2*l + l**4 + l - z*l**4 wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w. Suppose -8 = 4*r - 0*r - 5*i, 0 = -4*i + 16. Let u(g) = 6*g**2 + r - 7*g**2 - 3. Give z(u(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 455 + -455.0000717. Round t to 6 decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/234 and 155\/756.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3458164 + 3458164 - 16*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34633208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89051899 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*p = 5, 5*r + 4*p + 42 = 46 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 277?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -78, -116, -158, -204, -254, -308?\n\"Answer: -2*y**2 - 28*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 1*(4 + -6). Suppose v*m = -4 - 12. What are the prime factors of 1 + 80 - (-12)\/m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539251 - 4*s + 539257 - 1078508.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -9. Let g be 70\/4*l\/(-112) - 2. What is the closest to 1 in g, 21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 48 = -4*l, 0 = -3*l - 5*q - 10. Let p be 24\/l + (-2)\/(-5). Put p, -3, 3 in decreasing order.\nAnswer: 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5923*970\nAnswer: -5745310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468930 is divided by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 153 - 452560\nAnswer: -452407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35e - 43921?\nAnswer: -435b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -957 + 1015.7. Let z = 59 - m. Which is the closest to -1\/3? (a) z (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1520, -3039, -4558, -6077, -7596?\n\"Answer: -1519*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*p + 140*p + 135*p - 16 = 4*n, 3*p = 6*n + 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(112) + (sqrt(112) + 1)*-1 + 5 + 5 + 3 + sqrt(112) + 0)**2.\nAnswer: 56*sqrt(7) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65043 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 37*m. Suppose -21*n - 8 = -25*n. Let c(i) = -12*i + i**2 + 0*i**n + 12*i. Determine y(c(o)).\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/2270 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millennium in years?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 82 - 93. Let u = f + -31. Suppose u*g + 5*d + 10 = -7, 0 = 3*g + 5*d + 19. Solve -p - g*q + 3 - 18 = 0, q = 4*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + 4 + (-2 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:59 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let p = -13 + 21. Suppose 2*u - 4*u = p. Which is the nearest to -1? (a) j (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58292 and 9256?\nAnswer: 10375976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let m(f) = -6*f**2 + 2*f**2 + 3 + 5*f**2 - n*f. What is the least common multiple of 16 and m(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:35 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 + t - 1. Let a be (-2 + 21\/6)\/(3\/4). Let y(u) = -4*u**3 + 2*u**2 - 2*u + 2. Give a*x(l) + y(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60444)\/1934208*2*2\/8*3?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 66 + 19 = -5*d, -4*a - 5 = -3*d. Suppose -d*q + 14*q = 42280. Round q to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104280)\/(-1264)*(-20)\/30.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 1. Let t(f) = -22*f - 17. Let i(l) = 156*l + 120. Let a(x) = -5*i(x) - 36*t(x). Let o be -4*(26\/(-4) + 1). What is o*c(z) + 2*a(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 30 - 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.2 (c) -1.051 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)\/sqrt(4))\/sqrt(10) - ((sqrt(5) - (0 + sqrt(5))) + 2)**2) + -2)*1.\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 + q**4\/24 + 6*q**2. Let p(o) = -4*o**3 - o**2 + o. Calculate -p(x) + s(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -98, -253, -470, -749, -1090?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12321330130 (base 4) to base 11.\nAnswer: 1027040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-6) - (297\/45 - (-354)\/(-590))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 3 = 0. Let v be (-4 + y - -1)*5\/(-10). Solve v = -4*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065630 (base 7) in base 4?\nAnswer: 200233011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1305)\/30*(1 + 1). Let g = l + 167. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14627 * 0.58.\nAnswer: 8483.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-7 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 14) in base 4?\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3. Let u be p(0). Let o = u + 0. Is 6 + o - 214*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9232539, 9232559, 9232603, 9232683, 9232811, 9232999?\nAnswer: 9233259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -271, -107, 59, 227, 397?\n\"Answer: u**2 + 161*u - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -840, -6767, -22894, -54333, -106196, -183595?\n\"Answer: -852*y**3 + 12*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 0*o**4 + o**4 + (-3 + 1 + 4)*(-o**4 + o**4 + 2*o**4) - 23*o**4 + 11*o**4 - 13*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 0*m**2 + m**2)*(17 - 7 + 10) + (-3*m - m + 2*m)*(3*m - 2*m + m) + m**2 - 2*m**2 - m**2 in the form t + i*m + g*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2562 and 137\/4427990?\nAnswer: 13283970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o - 4. Let v = 4344 + -4370. Let g(d) = 2*d + 1. Calculate v*g(k) - 6*j(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8911.\nAnswer: 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -2b4?\nAnswer: 2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-7 + 13) - -1419?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/2 - ((-57)\/2)\/19. Suppose r*j - 14400 = 14*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13233607 - 13233608.9999927. Let u = -2 - b. Round u to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 2*p**2 - 2*p. Let t be k(-2). Suppose d - 5*g + 13 + 0 = 0, -4*d + 14 = 2*g. Suppose -i = -d*i + t. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 19*a + 7*a. Solve 2*y + 3 = -k, 0 = -a*k + 49 - 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 - (3 + 2)) + -2. Let d = o - -71\/3. Let h = 0.1 + -0.3. What is the third biggest value in h, 3, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:26 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.4, -10.69, 3.5226?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4)\/sqrt(2))**2 - (1 + 2*sqrt(2) - sqrt(2))**2) + -3 + sqrt(288) + -2.\nAnswer: 10*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9762 is divided by 361?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8908346047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let q(w) be the third derivative of w**6\/720 - w**4\/8 - w**2. Let c(s) be the second derivative of q(s). What is c(j(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*r = -6 - 9, 3*r + 1 = -4*g. Solve 5*f + 4*t + 5 = 0, -g*t = -3*f - t - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3\/2*f**2 + 3\/2*f**4 + 1\/2*f**5 + 0 - 1\/2*f**3 = 0. What is f?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215114 is divided by 666?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilsuzisuzll. Give prob of picking 1 s and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414130623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1701217003 and -0.26.\nAnswer: 1701217002.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-740 + 2*u**2 + 368 + 396)*(0 - 3 + 1)*(3*u - 4*u - u) as q + x*u + i*u**2 + w*u**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1512084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1888 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -570*m - 6843. Give r(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/204*(64\/140 - 2\/4)*-5.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/20620 and 53\/20?\nAnswer: 20620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15)*3\/(-3)*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4*(-5)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-418 + 0)\/(-8 - 42\/(-6))?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.58 - 87.42. Let h = o + 85.3. Let q = h - 1.3. Which is the third biggest value? (a) q (b) 1\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2*g + 6. Let q be f(4). Let k = 30 + q. Calculate the remainder when 31 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008754445 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-6))\/4)\/((-39)\/((-1521)\/26))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49000, -97996, -146984, -195964, -244936, -293900, -342856?\nAnswer: -391804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 4*x - 24. Calculate the least common multiple of x and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = -6. Suppose -f*a + 8 = -4. Let c(t) = -13*t + 13. Let p(v) = 3 + 4 - 127*v + 120*v. Calculate a*c(g) - 11*p(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 11:37 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/29 + -24\/145. Sort -5, 1\/2, x, -2.\nAnswer: -5, -2, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/14 and 69\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*u - 12, 3*f - 3 = -13*u + 16*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -46*r + 3362. What is the remainder when 503 is divided by s(73)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121522 (base 6) to base 15.\nAnswer: 32d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3133, -3344, -3915, -5026, -6857, -9588?\nAnswer: -13399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/4*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.19 (b) 3\/4 (c) -0.1 (d) 42 (e) -2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -1197, -1196, -1195?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101040 by 50520.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 421*p + 14176. Determine y(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*f + 8, -f + 16 = 3*p - 5*f. Sort p, 34, -1 in ascending order.\nAnswer: -1, p, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/15 - 11\/3 - -4. Solve -1 = i - n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from errecieerc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454149 to the power of 1\/2, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (54 + -67)*-1*431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/(-2))\/(3\/(-15)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9994301 + -4277487. Suppose 0 = -2*j + 3*w - 18633643, -3*w = -16 + 1. Let n = k + j. Round n to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10862, -21863, -32864, -43865?\n\"Answer: -11001*s + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*z - 152 = 0, 71 + 118 = -5*r - 4*z. Which is smaller: -40 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1818 (base 9) to base 7.\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-286)\/39)\/((-4)\/150)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*u)*(35 - 99 + 1060) as i*u + h and give i.\nAnswer: -1992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5684, 11163, 16642, 22121, 27600, 33079?\n\"Answer: 5479*m + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*y + 24, -5*y + 7*y = l - 26. Which is bigger: -17 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 7*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/90935 and 77\/145496.\nAnswer: 727480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 127930?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 1 (b) -10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-3*1\/(-2)). Let p(z) = -3*z + 14. Let f be p(2). Suppose 13*i - 96 = f. Calculate the highest common factor of i and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.5 (b) -0.2 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*w + 4, 49 = 4*f - w + 6*w. Suppose 0 = a - f*a. Let i(x) = -x**3 + 191. Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -41.048. Let o = c - 0.248. What is the fourth smallest value in 2, 2\/17, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 24 = -3*y + 29*s, -3*y - 4*s - 27 = 0. Calculate the remainder when (221 - y)*6\/12 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/152 and 31\/5563824.\nAnswer: 105712656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43783 (base 10) in base 2?\nAnswer: 1010101100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6181668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16))\/((-1632)\/128).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1005 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y + 8*y**2 + 38*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 447302 at least 447302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahyu when four letters picked without replacement from {u: 1, s: 1, h: 1, y: 1, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29370868 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4 = 0, 4*n - 11*u + 19 = -12*u + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -4)*(-2 + 9). Let y = l - -14. Let h be -1 + (-6)\/y - -1. Which is bigger: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1061*b**2 + 13794*b + 9. Give s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 37*p**2 + 94*p + 293. Calculate the smallest common multiple of 30 and k(34).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1 - 0) + 3. Suppose l*g - 4*r - 1192 = 0, -434 = -4*g + 3*r + 763. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 18, -5, -60, -159, -314, -537, -840?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -707*f**5 + 25166*f**4 + f**3 + 188306061*f**2.\nAnswer: -42420*f**2 + 603984*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n + 258*n - 46*n - 171*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 8. Let u be c(-8). Let t = u + -18. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*x + 14 - 22, 4*x = -7*i + 19. Solve 4*h = i*t + 21, -4*h - 14 = -64*t + 66*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 41132\/(-1183) + 18*7\/(-208).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 - 16*u + 6. Let g be n(6). Let m be 2\/(-3) - g\/(-54). Suppose 0*l - 147 = -3*d + m*l, 0 = -5*d - 4*l + 290. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let v = -270 + 63181\/234. Let f = v - -115\/468. Put -0.06, l, -5, f in decreasing order.\nAnswer: l, f, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1004 - 349. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11168 divided by -698.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/3 + l**2 + 5*l. Let w be b(-4). Let y be (w\/(-2))\/((-3)\/(-4)). Solve -o - y*o = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 = 7*z - 240. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175 - -10?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-18)\/(q**(1\/5)*(q\/(q*q**(1\/4)))\/q))**11 assuming q is positive.\nAnswer: q**(1551\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4394? (a) 252 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {p: 11, v: 3, k: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1624 and 3\/4676?\nAnswer: 271208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 (base 10) in base 7?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47463?\nAnswer: 3, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384656143 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - 3) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -397*j**4 - 49*j**4 - 20*j**4 - 1 + 1 + (-j**3 + 4*j**3 - 4*j**3)*(-3*j + j + 3*j).\nAnswer: -467*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -589898191 minus -14443?\nAnswer: -589883748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 307, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6804 - -21120. List the prime factors of b\/16 + (-10)\/(-40).\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122210 + 20200110?\nAnswer: 12000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45\/14 - 25\/14. Let d*p + 8\/7 + 2\/7*p**2 = 0. What is p?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(8\/(-2)))\/(605\/(-242))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/357)\/(6\/17)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, 1\/3, 0, -2020 in decreasing order.\nAnswer: 3\/7, 1\/3, 0, -4, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.6. Let r = n - -0.4. Let m = 0.1 + r. What is the second smallest value in 4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22356, -22290, -22184, -22038, -21852?\nAnswer: -21626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 893*z - 2667*z + 889*z + 908*z. Let a(u) be the second derivative of -1\/6*u**4 + 0*u**3 + 0 + 0*u**2 + u. What is b(a(o))?\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-15)\/3)\/70. Let j = -0.3 - -1.3. Which is the nearest to 1? (a) 3\/5 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 8*d**2 - 21*d + 25. Let f be a(4). Let p = -6 - -13. Solve f*q = -5*x + 10, 2*x - p = -3*q - 2*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-14)\/(-8))*4. Let a = d + 5. What is the second derivative of -2*s**a + s**2 + 2*s + 0*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -117*m**2. Let f(n) = 12*n**2. Calculate f(j(y)).\nAnswer: 164268*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 71\/18 + -1 and (-4)\/(-20) - (-193)\/110.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/45 and 73\/1377.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/79 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4) + (-77000)\/(-224). Let j = 353 - c. Solve 0 = -q - 4*q + j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(10\/11595). Let q = -552 + j. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(70) - ((2*sqrt(70)*1 - sqrt(70) - sqrt(70)) + sqrt(70)))*-6)\/(sqrt(80)\/(sqrt(32)\/sqrt(100))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339390 and 251100?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -496256, -992504, -1488752, -1985000?\n\"Answer: -496248*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.8 - -1.4. What is l rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 11 - 129)*(-68*r + 68*r + 43*r**3) to d*r**3 + n*r**2 + b*r + g and give d.\nAnswer: -6321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 3. Let k(i) = 312*i - 10. Give -k(g) - 4*z(g).\nAnswer: -316*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3080 and 143\/5950.\nAnswer: 261800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199939822289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 3, 4 in decreasing order.\nAnswer: 19, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*h - 19*h + 1164 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2412 - -4707. List the prime factors of t.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482446*a*y**2 - 1091*y**2 + 176 wrt a.\nAnswer: -482446*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9153*j**2 + 7703*j**2 + 7940*j**2.\nAnswer: 24796*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 208*w**3 + 3*w - 178*w**3 + 385*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7208 - -12470. List the prime factors of f.\nAnswer: 2, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 5 + (-861)\/77\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -788\/1067 - -54\/97. Put -4, 62, b, 1\/6 in descending order.\nAnswer: 62, 1\/6, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, 4, 91, -4 in ascending order.\nAnswer: -4, -3, 0, 1, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23\/3 - 8. Let v = -1.72 + 1.9. Let t = 0.02 + v. Which is the closest to t? (a) 2 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -330 - -656. Let a = -252 + r. What is the remainder when 283 is divided by a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19*u + 12. What is the hundreds digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k + 14. Let g(q) = -3*q**3 - 27*q**2 - 44*q - 11. Calculate the least common multiple of g(-7) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 9, -5, 2, 126 in descending order.\nAnswer: 126, 9, 2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 11*f**2 + 19*f + 11. Let g be q(-9). Suppose g*n = 7*n - 70. Suppose 2*l = 2*p - n, -p - 73 = -5*p - 5*l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16860240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 283*w**2 - 1919*w - 32186. What is s(290)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.73 - 3.7. Suppose 4*x - 2*q = 3*x + 66, -4*q - 244 = -4*x. Let w = x - 225\/4. Which is the third smallest value? (a) w (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-30)*(-1)\/(-10)*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**5\/10 + i**4\/3 + i**3\/3 - i**2 - 1. Let n(z) be the second derivative of b(z). Factor n(a).\nAnswer: 2*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 575?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3447.64373 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1717*u + 83*u**2 + 779*u - 1035*u wrt u.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 27*j + 47. Does 86 divide u(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1 = 19*h + 76 + 43, -h + 3*j - 8*j = 26 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 4220.\nAnswer: 80180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -1\/2*c**3 + 6*c**2 - 1\/120*c**6 + 0 + 5\/24*c**4 + 0*c + 1\/30*c**5. Suppose 0*q + 9 = 3*q. What is o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3312 and 101\/302128.\nAnswer: 2719152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:47 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let m(z) = 1234*z**2. Give m(h(o)).\nAnswer: 4936*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1336462 - -0.175853.\nAnswer: 1336462.175853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -0. Suppose v*y - j - 33 - 25 = 0, -3*y = -3*j - 84. Calculate the smallest common multiple of 27 and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4\/3 - 4112*b**3 - 3198984*b**2 - 132353840*b\/3 - 103673900 = 0.\nAnswer: -1535, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/28 and -7\/7891146.\nAnswer: 110476044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*h + 232*h - 49 - 191 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 204\/(-9) + (-2)\/(-3). Let a = k - -25. Solve -p + a*p = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19686294385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321012 (base 4) to base 11.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 - -1. Let n = -0.2954016 + 0.3254. Let a = d - n. What is a rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let x(w) be the third derivative of w**5\/15 - w**4\/4 - w**3 - 5*w**2. Let n(j) = -j - 1. Let y(l) = -6*n(l) + x(l). What is y(o(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12990 divided by -2165.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4686, 9370, 14054, 18738, 23422, 28106?\nAnswer: 32790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 8310541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27575.4 and 5?\nAnswer: 27570.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -42131444?\nAnswer: -42131440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iziiiiiiizi. Give prob of picking 1 z and 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and ((-1946)\/336)\/((-1)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 270*s**2 + 543*s + 147. Determine x(-272).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 21*p - 211. Calculate t(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 43 = -13*v + 47. Calculate the remainder when 13108 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3\/3 + 19*b**2\/2 + 11*b + 3170. What is c(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 14 = -54*y + 57*y, 5*u + 4*y = -7. Let v = -3.07 - -2.07. Which is the nearest to u? (a) -0.1 (b) v (c) -56 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + 8.9. Let v = i - 15. Let h = -107 - -111. Put h, -2, v in decreasing order.\nAnswer: h, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5883)\/(-333) - (-39)\/9. Solve 5*z = -o + x, -3*o - 19 = 46*z - 48*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*z + 32*z - 72. Calculate the greatest common divisor of z and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13326614.0848834 - 13326613. Let i = l + -0.2448797. Let b = i - 0.84. Round b to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 1937\/20. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1320 and 125\/108.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732683810 a multiple of 815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - 99)*119\/(-56)*2*-1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-21)*23\/((-1380)\/(-200))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143294, -286058, -428824, -571592, -714362?\n\"Answer: -a**2 - 142761*a - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 150 - 150. Let l(b) = -b**2 + 3*b. Give z(l(s)).\nAnswer: -2*s**4 + 12*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184725.1875 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/6))\/m**(-3)*(m*m**1)**(1\/8))**26 assuming m is positive.\nAnswer: m**(689\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3 = 4*p, 14*p + 4*t + 15 = 19*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v**2 - v - 1. Let o(h) = -16*h**3 + 4*h**2 + 23*h + 4. Let z(d) = -o(d) - 4*p(d). Find the second derivative of z(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2946 - 0.6746. Sort 21, a, -0.2 in ascending order.\nAnswer: a, -0.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (1 + 1 + -2733). Let j = r + -1217. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 6*v**2 - 12*v - 7. What is the units digit of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose -b = 5*g - 4*g. Let d(x) = -6*x - 6*x**2 - x**3 - 90 + 172 - 86. Determine d(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -796\/3 - -794\/3. Which is the nearest to 0.04? (a) w (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 17 + 1056*q - 534*q - 524*q + 3 to f*q + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.0748 + 0.2992. Let d = -0.0481 - 3.4519. Let j = d + i. Round j to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 94 = -34. Let u be (-2)\/5 + (-68)\/c. Suppose -u*k - 4 + 28 = 0. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 9*p + 15. What is z(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*l - l + 16528908 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -172983.\nAnswer: -560\/172983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.4, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724 divided by -3?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ca9b (base 13) to base 6\nAnswer: 334250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 + 2*j**4 - 5 + 11 + 0 + 3*j as o*j**2 + c + l*j + n*j**3 + d*j**4 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-515)\/2369*(12 + -11 - 2).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -5\/6, -6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1937, -1955, -1979, -2009?\n\"Answer: -3*p**2 - 9*p - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Let p = o - -9. Suppose 0 = 5*a - 4*a - n - 2, 3*a - 2 = 5*n. Calculate the greatest common divisor of a and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.2. Suppose 156*l - 162*l = 234. Let j = 37 + l. Which is the closest to -2? (a) -3\/5 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 48*j**2 - 201*j + 1105. Let h be g(44). Let u(s) = 1. Let o(m) = m**2 - 38*m + 7. What is h*u(w) - o(w)?\nAnswer: -w**2 + 38*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8302182.6 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + 0.04. Let h = 15 - 15.1. What is the nearest to h in -0.4, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((728\/60)\/(-13))\/(30\/75).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5876*w + 5863*w - 11711*w - 28 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 11. Let k be -4 + 4 - (-3 + 1). Suppose 9 = -k*j + 5. What is the closest to -1 in j, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 78*y**2 - 220*y + 5649. Let b be p(40). Let l be (2 - 4)*(-98)\/4. Calculate the highest common factor of l and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(57)\/sqrt(3) + sqrt(76)\/sqrt(4) + -5)**2 - (-2 + 2*sqrt(19) + sqrt(19) + ((sqrt(19) - sqrt(171))*4)**2).\nAnswer: -1018 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*z + 43 = 0, 0*a + 5*a + z - 110 = 0. Suppose 4*m = a - 19. Solve v + 0*v - m = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.24758 minutes to seconds.\nAnswer: 1034.8548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164967 is divided by 290.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 923.43 - 922. Let f = u - -4.57. Sort 1, f, -0.5, -2\/23 in ascending order.\nAnswer: -0.5, -2\/23, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 10*m - 3. Let w be u(-10). Let r(b) = b**3 - b**2 - 1. Let l(d) = 6*d**3 - 5*d**2 - 5. What is w*l(j) + 15*r(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10822?\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/120 and -49\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 584 = 5*r. Is r >= -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 2024999467?\nAnswer: -2024999467.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -272523 divided by -1\nAnswer: 272523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*v = -5*s + 15, 3*v = 0. Let y be 1 + 11\/(-22)*26\/7. Let o = 24 - 47\/2. What is the closest to o in -1, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413134 (base 6) in base 16?\nAnswer: 13792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let y be l(0). Let b = 5 - y. Let q(w) = w + 7. Let t be q(-4). Solve -b = -a - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -0.04. Let h = 0.13 - d. Let n = h + 1.93. Which is the smallest value? (a) 1 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3)*(3 - 1). Suppose 0 = j + 1, l*d - 4*j = d + 14. What is the remainder when 27 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-156)\/(-13))\/(-12))\/(((-35)\/(-45))\/(-7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 534967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 104*n - 15010. What is m(144)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*w + 22*w - 7*w)*(-865*w - 1536*w + 2905*w) + (-w - 5*w + 4*w)*(0 + 0 + 2*w) as s*w**2 + c*w + x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 5*k + 320 = 47*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**0))**(-1\/23))**(-47)\/((a\/((((a**(-6)\/a)\/a)\/a)\/a)*a**(-2)*a*a)\/(a\/(a**0\/a)*a)**(-17)) assuming a is positive.\nAnswer: a**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.2 (c) 7\/3 (d) 0.9 (e) 1278\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335 (base 9) to base 13.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -38. Let b(s) = s**2 - 13*s + 12. Let z be b(q). Suppose z = y - 4. Solve -i = y*g - 5*i - 12, 0 = 4*i - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-2008)\/28. What is the highest common divisor of 48 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 8. Suppose -2*p + 3 = -v*a - 7, 0 = -5*p + 25. Let i(t) = -t**3 + 6*t**2 + 7*t + 4. Let l be i(7). Solve -3*x - n - 16 = a, -n - 3*n = l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.7779434 and 983820?\nAnswer: 983817.2220566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285415089?\nAnswer: 3, 95138363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**35*b)\/(b\/(b**(-37)\/b)) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6157868?\nAnswer: 2, 1539467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*w**3 - 5839*w + 10253978 wrt w?\nAnswer: -81*w**2 - 5839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 7, 31, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {w: 1, r: 3, s: 1, f: 3, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18)*-1 - (sqrt(2592) + 1*sqrt(2592) + sqrt(2592)))\/((sqrt(27) + sqrt(54)\/(2*sqrt(2)))\/sqrt(3)).\nAnswer: -74*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a**2 - 245*a + 47. Calculate r(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 5*q**2 + 7*q**2 - 4*q**2. Let b(d) = -3*d**2 - 2*d. Determine b(x(t)).\nAnswer: -12*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2 + 39 + 455805*r + 1 - 455795*r - 668*r**3 wrt r?\nAnswer: -4008*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220597 or -0.16?\nAnswer: -220597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5444 + 6542?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from qyqqqqqqqsqyqs.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41484, 41528, 41572, 41616, 41660, 41704?\n\"Answer: 44*b + 41440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let p be 5 - (-3 + 0 - -6). Let b(j) be the first derivative of 0*j + 0*j**p + 2\/3*j**3 - 2. Give b(o(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 - -1474\/7. Let u = -95 - -759\/8. Which is the biggest value? (a) 2 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -74*u. Let r(g) = 3*g**2. What is r(d(j))?\nAnswer: 16428*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2*s**3\/3 + 3*s**2 + 7*s - 19. Calculate u(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*a - 4*a**3 + 0*a**3 + 3*a**2 + 3*a**2 - 4218*a**4 + 4220*a**4 - 3*a**2 in the form m*a**4 + h*a**3 + f + v*a**2 + s*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * 0.6076\nAnswer: -0.115444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**2 + 100440*b + 7555500 = 0.\nAnswer: -75, 25185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4412919*r*w**2 + 7611453*r + 2*w**4 wrt w.\nAnswer: -8825838*r*w + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11317 = 115*y - 967 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*x - 4185 = 567 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmlu when four letters picked without replacement from umuhbhuluuhu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 863.15848 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 20*i + 9. Let t(g) = 5*g + 2. Let l(a) = -9*t(a) + 2*u(a). Let c(m) = -m. Determine -4*c(d) + l(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 6 (c) -2\/11 (d) -1\/199 (e) -137\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2241561, -4483125, -6724703, -8966301, -11207925, -13449581?\n\"Answer: -o**3 - o**2 - 2241554*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 + 45. Let v = q + 96. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/17, -3, -79, 141?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25239, 50481, 75723, 100965?\nAnswer: 126207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 32 + 67 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101011100101010 (base 2) to base 4.\nAnswer: 2131130222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866315?\nAnswer: 5, 573263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 19*c. Solve -3*p + 12 + 3 = c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455 less than or equal to -1453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*i - 293439 = -292807 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**8\/1680 - 3*t**7\/350 + 4*t**6\/75 - 14*t**5\/75 + 2*t**4\/5 - 8*t**3\/15 + 88*t**2. Factor x(a).\nAnswer: (a - 2)**4*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 3. Suppose 5*q + l = -15, -4*q = -l - 3*l + 36. Let k(i) = i**3 - 9*i**2 - 4*i + 56. Calculate the smallest common multiple of k(9) and h(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44949*z - 44815*z - 134 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/(-1)*-2. Let u be 6\/(-27) - w\/(18\/(-328)). What is the highest common factor of 45 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1081 in -1, 0.4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 407 = -272. Suppose -s*x + 36*x = 45. Solve 0*n = n + z + x, -4*n - z = 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -22*v + 24. Find the third derivative of -51*f**4 + f**3 + 27*f**v - 191*f**2 - 31*f**3 wrt f.\nAnswer: -1224*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + (5 + sqrt(2736))*-6 + 0 + 1)**2.\nAnswer: 4176*sqrt(19) + 99337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3761*n**3 + n**2 - 1524*n - 1 wrt n.\nAnswer: -22566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/2, -8, -2 in decreasing order.\nAnswer: 1\/2, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8431*l**2*p**2 - 100*l**2*p*u**3 + 7*l*p**2*u**3 + l*p*u**3 + 15*l*p*u - 12*p*u**3 wrt p.\nAnswer: -16862*l**2 + 14*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.009 from 0.5.\nAnswer: 1.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c = 20. Suppose -r - 39 = -c*r. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -5*z, z + 3*h + 5 = -4*z. Suppose 8*m = 5*m. Suppose z*o - 1 - 9 = m. Is o greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaca when four letters picked without replacement from {a: 1, q: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000201110220 + -12201?\nAnswer: -2000201200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -1\/3, -2\/3 in increasing order.\nAnswer: -5\/3, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -901*r - 46225. Give a(-51).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -351, -352, -353, -354, -355?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 490*d**3\/3 + 345*d**2\/2 + 50*d - 9012. Find q such that o(q) = 0.\nAnswer: -1\/2, -10\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/4)\/(-5))\/(37\/((-148)\/64)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221011120 (base 3) in base 10?\nAnswer: 57714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8197, -16394, -24591, -32788, -40985, -49182?\n\"Answer: -8197*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 40 = -35*a. Let s(n) be the second derivative of -1\/16*n**a + 0 - 7\/24*n**3 - 1\/4*n**2 + 2*n. Determine x so that s(x) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 294*h - 299*h - 2*b - 73, 5*b - 50 = 3*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 120 = -5*b, b + 5*g = -8 + 2. Suppose -2*s + b = -83. Let t = s - 27. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let r(z) be the third derivative of 222*z**2 + 0*z - 2 + 1\/60*z**5 + 1\/3*z**3 + 1\/24*z**4. Determine r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k**2 - k - 4. Let o be y(0). Let x(u) = -10*u - 2. Let a be x(o). Suppose -5*m = -a - 27. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:33 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cic when three letters picked without replacement from ciicc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3)\/w*w**(-3))\/(w**(-1))**(-17))**(-28))**(-8) assuming w is positive.\nAnswer: w**(-13888\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -595 at least -6071.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:34 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184230?\nAnswer: 2, 5, 218423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12075803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 - 2\/3*l**2 - 8\/3*l.\nAnswer: -2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 878598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Suppose -b - 3 = -2. Determine g(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.5. Let l = -10.6 - 3.4. Let q = l - -13. Sort -0.4, q, u in decreasing order.\nAnswer: -0.4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let w be (-1 - (-6)\/d) + 1. Suppose 2*m = 2, w*z - 2*m - 10 = -z. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 71*a + 1 - a**2 - 138*a + 65*a. Let i(o) = 3*o**2 + 4*o - 3. Let v be (-1 + 0 - -2)\/((-5)\/(-25)). Determine v*h(l) + 2*i(l).\nAnswer: l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-9310)\/(-364)))\/(710\/(-300)) + (-2)\/(-7).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26680 = -13*o - 8337. Suppose w - 5*s - 664 = 0, 2*s - o = -5*w + 1855. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -390 + 394. Solve -6*n = -a*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 9. Let g(o) = o - 1. Let r(f) = -3*g(f) - m(f). What is the units digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 74411\/20?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/7 (c) -2\/9 (d) -5585 (e) -0.1 (f) 0.0019\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4\/3 (b) 1 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 5*j - 3. Let d(z) = -z**3 - 5*z**2 - 7*z - 10. Let n be d(-4). Suppose n*o = o + 4. What is p(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -118*i - 2360, 0*i - 2112*x = 3*i - 2113*x + 60 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 25, 1 in descending order.\nAnswer: 25, 1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 g, and 2 a when four letters picked without replacement from {v: 1, g: 1, z: 2, i: 4, a: 4, m: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/15 - 11*o**5\/2 - 28*o**4\/3 - 642*o. Determine a, given that j(a) = 0.\nAnswer: -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, z: 3, j: 1}. Give prob of sequence fz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2\/2 - 156*t - 648 = 0.\nAnswer: -4, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1\/225*o**6 + 1\/90*o**4 + 0*o**2 + 0 + 1\/150*o**5 + 14*o - 1\/45*o**3. Solve y(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 55.83057 micrograms?\nAnswer: 0.00000000005583057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:07 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + (10143\/(-6))\/(-7). Let l = 1152 - o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 615 + 165 = 0. Suppose 0 = 3*i - i + 2*g - q, -g = 4*i - 183. Is 5 a factor of i\/10 - 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let n be 0\/(h\/1 - -4). Solve 2*f + 5*o + 4 = 2*o, f - 3*o + 11 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -856, 5, 14.\nAnswer: -856, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 9*a. Let x be y(9). Suppose w + 2*w + 143 = 4*r, r + 5*w - 53 = x. Let u = 50 + r. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115 - 4095*p**2 + 115 + 4096*p**2 + 128*p to the form w*p + q + z*p**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.6796427 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 + 7*f**2 - 3*f + 8. Let k(n) = -4*n**3 - 4*n**2 + 2*n - 4. Let z(v) = -3*g(v) - 5*k(v). Give z(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31042037 is divided by 995?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42011, 84083, 126155, 168227, 210299, 252371?\nAnswer: 294443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j - 28 = p, 4*j = -4*p + 80. Suppose 22*n - j*n - 12 = 0. Solve 5*o + n*s + 32 = -s, 4*o = -2*s - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 5. Suppose -3*k - 12 = -c*k. Find the first derivative of -f - 3*f - 5 - k*f**3 + 4*f wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97060 and 5367418.\nAnswer: 53674180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31288544, 62577089, 93865634, 125154179, 156442724, 187731269?\n\"Answer: 31288545*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 r, and 1 s when four letters picked without replacement from {s: 1, r: 2, y: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f**2 - 9597*f + 6402 = 0. Calculate f.\nAnswer: -1067, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.2 - -14. Which is the nearest to -0.1? (a) -1 (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 190?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -3*c, -3*c = -2*w - 3*w - 17. Suppose 2*d - 8 + 38 = 0. Let k = d - -11. Sort 2, k, c.\nAnswer: k, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1658659\nAnswer: -497597.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (76\/152)\/((-2)\/(-13392)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 353 * 30133.\nAnswer: 10636949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8091.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 33103215.5?\nAnswer: -33103240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 8. Let y be w(-3). Suppose -4*u = 3*m + 6237 - 17981, u + y*m = 2949. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u = 14*u + 531 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61595097 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 - 14*o**2 - 16*o**2 + 4*o + 42*o**2 + 12*o in the form a*o + b + z*o**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -131312 (base 5) in base 6?\nAnswer: -40035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -277*t - 193. Let h be m(-6). Let k = h - 944. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1364 (base 11) in base 3?\nAnswer: -2102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.557775mm?\nAnswer: 0.000005557775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25509501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 4*t**2 - 638694*t**3.\nAnswer: -638694*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 319 + -314. Suppose o*l = 5*q - 400, 0*l + 180 = 2*q + 3*l. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 10*j + 9*j + j - 29*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l + 10. Let s(g) = -7*g - 2. Let j(p) = -2*f(p) - 9*s(p). Let d(u) = u + 4. Let o be d(-6). What is j(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 + -4 - (580 - 567)) + 36?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-20)*(-10)\/(-2). Let f(v) = -6 - 1 + 18*v**2 - 10*v + 15*v**3 - 8*v + 25. Let j(t) = -t**3 - t**2 + t - 1. Determine p*f(y) + 18*j(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23122*s + 23366*s = 17812 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 9*i - 296. Determine c(-25).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(110) + -3*sqrt(110)*1 + -1*sqrt(110)*6)\/(2*sqrt(40)\/(sqrt(44)\/sqrt(11))).\nAnswer: -4*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565730 divided by 113146.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223902133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 10. Let v = -15 + 13. Let l be 3\/(v - 100\/(-56)). What are the prime factors of m(l)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330010 is divided by 1024.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526931888 by 16.\nAnswer: 32933243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755247.7m to micrometers.\nAnswer: 755247700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - l - 357367 = 0, 0*l + 8*l - 893365 = -5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 7. Let m be g(5). Let y(a) = 3 - 10*a**m + 7*a + a**3 + 2*a + a. Calculate the smallest common multiple of 10 and y(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*x - 7 = 0, 0 = 5*q + 5*x - 3 - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -103, -251, -461, -733, -1067, -1463?\n\"Answer: -31*p**2 + 7*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/f*f*f**(2\/15)*f*f\/(f*f\/(((f\/(f*f*f**(-1\/2)))\/f)\/f))*(f\/(f\/(f**(3\/2)*f))*f)\/f*((f\/(f*f*f\/f**1*f)*f)**(6\/29))**34 assuming f is positive.\nAnswer: f**(-3292\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhzyyhzzhzz. Give prob of picking 1 y and 2 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 g when four letters picked without replacement from {j: 9, n: 1, l: 1, g: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*s - 15, 2*w = s + 7. Suppose -w*n + 959 = -259. Suppose 4*t = 2*r - 380 - 10, 4*t + n = r. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6662129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10409a9 (base 11) to base 7\nAnswer: 21365110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k - 353 + 1179 - 368 = -4066 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1830 and 29850.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.066 + -1.856. Let r = w - 0.41. Let v = 22 - 22. What is the biggest value in v, r, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74386 (base 9) to base 12\nAnswer: 24550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*a - 100 = 0, -4*a - 194 = -2*f - 5*a. Let c = f + -96. Solve c = -5*r - 28 + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 5, a: 2, f: 1, l: 11}. What is prob of sequence afua?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34445 + a**2 - 2*a + a**4 + 68293 - 34274 to d + x*a**3 + n*a + k*a**2 + q*a**4 and give d.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001518859 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -12574?\nAnswer: -12600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*y - 292, 4*m + 425 - 133 = 2*y. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 - (57 + (23 - 37))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g**3 - 34*g**2 - 37*g + 15. Does 32 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - 436?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152145?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + p + 2262, -4*u + 456 = -3*u - 2*p. What is the remainder when u is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from aiyidiied?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5082198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 66*j = -61*j + 12 + 8, 0*j + 2*j + 35 = 4*d - 3*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8874.81 grams to micrograms.\nAnswer: 8874810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 27 (c) 0.4 (d) 2\/7 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o + 127. Let j be u(7). Let d = -62 - j. Calculate the remainder when 109 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/3 (b) -211\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0 - d**2 - 6*d + 2 - 4*d**2 + d**3. Suppose -3*a - 2*q = -20, -3*a = 2*a + 4*q - 34. Give m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 - 165. Which is the closest to -0.1? (a) k (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 0)*(2 + 0 - 4)*(-2*p + p**5 + 2*p).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39201*x + 34 - 45 + 11.\nAnswer: 39201*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 12*g + 83. Is f(13) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55, 50, 35, 4, -49, -130, -245, -400?\n\"Answer: -q**3 + q**2 - q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.59041 rounded to 1 dp?\nAnswer: 405.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 13*s**7\/210 - s**4\/2 + 13*s**2. What is the second derivative of h(j) wrt j?\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -8. Let j = 498 + w. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107281884.\nAnswer: 2, 3, 8940157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 10*c. Let i(h) = h**2 + h + 1. Let a(z) = g(z) - 6*i(z). Suppose -5*k + 30 + 35 = 5*l, 3 = -l. Let o = 20 - k. Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14994 and 522036?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15115728 to the nearest integer?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2. Let j(w) = -6*w - 7. Determine j(u(s)).\nAnswer: 60*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 - 3*n + 53. Let s(q) = -10*q**2 - 4*q + 80. Let g(h) = -7*c(h) + 5*s(h). Let m be g(0). What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.868 - -0.6365. Let d = 0.16 + -0.4. Let x = d - i. Round x to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 586 - 450?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 958.13 or -0.8?\nAnswer: 958.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -52*w**5\/5 + 39*w**3 - 2*w + 59. Find the third derivative of j(x) wrt x.\nAnswer: -1248*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 47256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*c - 35 = 0, 4*m + 2 = 3*c - 1. Let a(h) = 11*h**2 - 4*h + 6. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4602 by -236.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.98 - -21. Let f = 1.8 - 1.7. Which is the nearest to 1? (a) 3 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(24\/(-933)) - 4\/16. What is the common denominator of (2\/(-56)*b)\/((-1)\/2) and (-329)\/(-18) + (-8)\/(-36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6286048 (base 9) to base 7\nAnswer: 40406363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-298)\/(-8) + 145 + 69 + -240?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40461*c**2 + 674 - 39822*c**2 - 194*c + 194*c - 23 wrt c?\nAnswer: 1278*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21463, -0.4, -5 in descending order.\nAnswer: -0.4, -3, -5, -21463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*k = -f - 11, -4*k + 5 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/325)\/(18\/(-60)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 593 - 470.6. Let z = f + -122. What is z rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/3 - f**3\/6 + f**2\/2 - 16*f. Determine c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 28*y**2 + 36*y + 42. Calculate v(-27).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -5*j**4\/4 + 11*j**3\/6 - 6*j**2. Calculate the remainder when k(-2) is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 67, 84, 71, 16, -93?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/19702530 and 3\/54729250?\nAnswer: 492563250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-12))\/((-23)\/(-8) - 3). Suppose -3 = t, 3 = n*x - 3*x - t. Solve 2*h = -2*v, x*h + 1 = 4*v + 3*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 103, 152, 211, 274?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3733970 is divided by 622312.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.35424, -35?\nAnswer: -0.35424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004905197 rounded to five dps?\nAnswer: -0.00491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12*i - 20. Let d be g(-5). Let s(f) = -f + 2. Let v be s(4). Let x be (0 + v\/5)*-10. What is the greatest common factor of x and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-1167)\/(-112032)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-1)\/3 + 1. Let i be a + 7\/(-6) + 2. Let c = -171.16 + 171.56. What is the second biggest value in 0.3, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/234768 and 121\/3216?\nAnswer: 234768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*3)\/(13 - 12). Let i(l) = 5*l**2 + 4*l. Let q(m) = 11*m**2 + 9*m. Determine z*i(r) - 4*q(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -6554*u**4 + 6557*u**4 - 75*u**2 - 63*u + u**3 - 10*u**3 = 0. Calculate u.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*y - 117, 23 + 14 = n + 4*y. Let k be 4\/14 + (-90)\/n. Put 1, 2, k in decreasing order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:04 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46371695780.94726056 - 46371694208. Let s = 1564.64726 - w. Let t = -8.3 - s. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 67496 = -3*o, -1 + 9 = o. List the prime factors of w.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -164393 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 32*q**5 - 208*q**4 + 514*q**3 - 602*q**2 + 336*q - 72 = 0.\nAnswer: 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108545 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 3*x, x - 4*b + 0*b = 8. Suppose -x*t = 4*i - 224, -3*i + 168 = 3*t - 2*i. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {z: 5, l: 1, n: 1, m: 1, y: 1, d: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88650 + 33322 = -13*a. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(567)*2 + sqrt(567))*6)\/((1*sqrt(90))\/sqrt(10)))**2 + 0.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*l**4 - 1928 + 1928)*((2 - 4 + 0)*(1 + 0 + 0) + 2 + 1 + 5) to the form d*l + u*l**2 + q + c*l**3 + k*l**4 and give k.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450654256 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + w**2 + w + 2. Let t(m) = -m**3 + m**2 - m. Let h(s) = c(s) - t(s). Let g be h(-2). Let n = g - 6. Is -1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 56*r**4 - r + 4*r**3 - 2*r**3 - 8107*r**2 + 71*r**4 + 8104*r**2 as o*r**3 + i*r**2 + t*r**4 + n*r + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201022 (base 3) in base 14?\nAnswer: -1738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) - sqrt(25)\/sqrt(5))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-1786) - ((-4692)\/380 + 12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23926 + 122177. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.29636 days in milliseconds?\nAnswer: 4518405504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2800729641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3329, -6654, -9979, -13304, -16629, -19954?\n\"Answer: -3325*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and (-35)\/28*(-2)\/10*4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 6*z**2 - 48 - 20*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4898 - -4893. Let w = -85.7 + 86. What is the third smallest value in 1\/3, w, o, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11905959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 21\/4)*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 4*s - 1224. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29875 and 1701680?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*k - 121 - 236*k - 115*k - 356*k - 105*k wrt k.\nAnswer: -751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 163 + 166 = 0. Suppose c - 2*k + a = k, -c - k = -9. Let o = -31 + 49. Calculate the remainder when o is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 1068. Let w = t - -1912. Suppose 2*v = -w + 3024. Round v to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21655.493 to the nearest 100.\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*-5)\/sqrt(9).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -7) + 6 + -6 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2144*i**2*k**2 - 13*i**2*k + 46*i**2 + i*k wrt k?\nAnswer: -4288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26341 and 6476123?\nAnswer: 3763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/3374 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/66 and -127\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 162554\/(-120) - (-23 + 19). Let j = -6721\/5 - q. Find the common denominator of -73\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 45645, 0, -3 in increasing order.\nAnswer: -3, 0, 2, 45645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from cladymyllddcdcllddmd?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.96 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 68*f**2 + 519*f + 727. Determine g(59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 + 150. Suppose 0*z = z + 2*m - 43, -192 = -4*z + 2*m. Calculate the remainder when z is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134964597.\nAnswer: 3, 44988199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -32865*y - 388. Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 16 = 0, i + 40 - 38 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(112) + sqrt(112) + sqrt(112) + sqrt(112) + -2)**2 + 1) + -1.\nAnswer: -160*sqrt(7) + 2264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77716590 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: Let o = -250 - -392. Let q = o - 90. Suppose q = 5*r - y, -4*y - 10 = -r - r. 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 the thousands digit of 2239575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215779 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1997568 and 152388?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*i + 10 = -0*i, 4*r - 10 = -5*i. Solve -4*j = -r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -5*j - 36, -404*j + 402*j + 5*d = 4*d + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(112) + sqrt(112)*-3 + 1 - (6*(sqrt(112) + sqrt(112) + 0) - sqrt(112)))**2)*-2.\nAnswer: -37854 + 208*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7457 + 7580. Solve -188 + x = 13*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -945623, -1891240, -2836837, -3782408, -4727947, -5673448, -6618905?\n\"Answer: o**3 + 4*o**2 - 945636*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.327561175 - -3.366285. Let g = p - -2.191266275. Let u = g - 2.23. Round u to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367024 divided by 1108\nAnswer: 91756\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905765 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 4\/7, 0.4, 1\/3, -108?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 - (-4 - (-1 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-36)*-2 - (-7031)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 7 + 0*o + o**2 + 4*o**2. Let y be x(-6). Let j = -119 + y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-44))\/(931\/456)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - 49 - (-2 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 + -413. Which is the nearest to 2? (a) 0.1 (b) m (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 1\/8*w**3 - 17 + 0*w - 1\/40*w**5 - 1\/8*w**2 + 0*w**4. Suppose d(h) = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*k + 19. Suppose -c + 70 = k. Let q = c - 197\/4. What is the closest to -0.1 in 5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*a + 45, -5*o + 2*a - 95 = -336. What is the remainder when o is divided by -4*((-1)\/2 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.857 - 4.83981. Round i to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181929, -365200, -548471, -731742, -915013?\nAnswer: -1098284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.8 + -11.8. Let q = 2043 + -2042. What is the nearest to 2\/5 in -0.4, f, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6) - 0)*3. Let t = 6 + -4. Suppose t*u + 6 = 2*v, 0 = 2*v + 2*u + 1 + 1. Is f > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose -4*y - 12 = -7*y. Let s be 26\/(-45) - (-4)\/(-18). Sort s, z, y in decreasing order.\nAnswer: y, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1146 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311032030 + 1?\nAnswer: -2311032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 4. Let m be a(-3). Let t be 22*((-3)\/2 + m). Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/100640 and -113\/62160.\nAnswer: 2113440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - (-6 + 5). Is k <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a + 3*q + 3, -2*q + 16 = 5*a. Solve j = -a - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3750\/(-500)*(-4)\/70.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2101\/4 + 551. Which is greater: 25 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 9, t: 4}. Give prob of picking 1 u and 2 t.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -1362169, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149940 by -238.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -185497871, -370995743, -556493615, -741991487, -927489359?\n\"Answer: -185497872*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g**2 + 6*g - 6. Let n(p) = 3*p**2 - p + 1. Let y(k) = 11*n(k) + 2*o(k). Let a be y(1). Is 12\/a + (-2)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -156*c**2 - 67*c + 11. Let x(g) = -g**2 - g + 4. Let n(q) = j(q) - 3*x(q). Find the second derivative of n(f) wrt f.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from rggzw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 2, e: 2, l: 2, u: 1}. Give prob of sequence elnu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*l - 5*c, 55 = l + 2*l + 2*c. Does 13 divide (-42)\/(-4)*50\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74.446+2\nAnswer: -72.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 136 = -2*k, -15 + 5 = -5*k. Calculate the lowest common multiple of -7*(20\/x)\/1 and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.99 + 0.1.\nAnswer: 30.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*g, 0 = 3*g + 12 - 3. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15686 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*h - 282 = -93, 5*r = 2*h - 215. Let y be r\/4 - 7\/(-28). What is the units digit of -1 + (y\/35 - (-32)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(1\/(-2)). Let c be d\/((-1)\/(3\/(-9))). Let b(o) = -4*o. Let q be b(-1). What is the biggest value in q, -1, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 42*s.\nAnswer: 3*s*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20452725 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 - 61*x + 47. Let z be f(8). What is the second smallest value in -4, z, 0.188?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16371 and 595935.\nAnswer: 63765045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27111726 + 27111758.000117. Let k = -32 + j. Round k to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491033290 at most -491033291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 10*o - 8. Let b be n(-9). Let f be -6 + 3 + b\/(-1). Let t(i) = -i**2 - 5*i + 9. Let a(r) = -3. Let k(h) = 2*a(h) + t(h). Calculate k(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 5070*v + 95608 = 0. Calculate v.\nAnswer: -2516, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 296272\/72 - (-3 + (-156)\/(-54)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**3 + 220*p**2 + 2053*p + 687. What is b(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -19 + 94. Suppose 0*z = 3*z + v. Let k = -568 - -568. Sort 5, z, k, 2 in descending order.\nAnswer: 5, 2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -179, -273, -369?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1 + (1\/(-1) - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + 11?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058905 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -217. Let o = c - -107. Let l = o + 96. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2\/y)**(-24)*y**3*y**9\/y)**40 assuming y is positive.\nAnswer: y**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/20973?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*w = -3*g + 24, -26 = -4*g + 5*w. Let j be (-74 + 77)*1\/((-6)\/(-8)). Solve g*z + 5*d = z + 32, 0 = z - 2*d + j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428*m = 1423*m + 450. Solve -130*b = -m*b - 40 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*z**2 - 14\/3*z - 16.\nAnswer: -(z + 6)*(z + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 + 42*d**2 + d + 44. Calculate y(9).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528893 divided by -263?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 4 = 46*h. What is the second derivative of 7*o**h + 21*o + o - 6*o wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 58*i + 23. What is the remainder when o(5) is divided by -4 + 2 + 296\/8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -162, -210, -276, -366, -486, -642, -840?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(9072) + (sqrt(9072) - -4*(sqrt(9072) + 1)) + sqrt(9072) + -3*(0 + sqrt(9072)) - (4 + (sqrt(9072) - -1*sqrt(9072)*5)))**2)*6.\nAnswer: 217704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (2 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 + 46221*f**3 + 970983*f**2 + 4578079*f - 5595282 = 0 for f.\nAnswer: -11, 1, 46242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1515*o - 444*o + 167*o + 542*o)*(-2 + 2 + 3*o) to the form l*o + z + g*o**2 and give g.\nAnswer: 5340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3 and 73\/387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 6*a = 145588. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40086, -40306, -40530, -40758, -40990, -41226?\n\"Answer: -2*b**2 - 214*b - 39870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffurufuolf. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562487 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1674599737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinlirn. Give prob of sequence rl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + 11 + -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 5*g**2 + g**3 - 2 + 10 - 5*g**2 + 4. Let f be k(9). Suppose 0 = -f*u + c + 215 + 24, 0 = 4*u + 2*c - 332. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 45*i**2 + 65*i + 222. Determine k(24).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245\/(-35))\/(2\/(36\/(-6489)))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -24*a + 1. Let u(t) = 12*t - 1. Let q(f) = -6*j(f) - 11*u(f). Let b(n) = 11 - 24*n - 15*n - 10*n - 5*n + 85*n - 6*n. Calculate 6*b(p) - 13*q(p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3\/2, 9, 142, -0.4, 101?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(420)\/sqrt(7))\/sqrt(3)*3)\/(sqrt(40)\/(sqrt(90)\/sqrt(9)) + -4*4*sqrt(4)).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v**2 + v + v**3 - 3*v**2 + 5*v**2 + 0*v. Let h(k) = -4*k**3 - 7*k**2 - 2*k - 1. Let u be (3 - 1)\/4*(-9450)\/675. Give u*g(a) - 2*h(a).\nAnswer: a**3 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -5*n**4\/3 + n**3\/2 + 3*n**2\/2 - 45*n. Let f be v(-1). Let o = 67 + f. What is the remainder when 186 is divided by o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*q = -88*q - 64. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 19*r**2 + 4*r - 72. Let d be p(19). Solve -d*y = -30 + 34 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 - (-36 - (7 + -23))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -2\/13 (b) 140 (c) 0.1 (d) -42 (e) -0.4 (f) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 126*o**2 - 1277*o - 4664. Calculate y(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -3 - -1*(-255)\/(-70))*(-11992)\/17988.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -278*z**3 + 2*z**2 - 3*z + 2. Let q be j(2). Let w be -4 - (-4584 - (-2 - -2)). Let a = w + q. What is a rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/9 - 14*v**5\/15 - v**4\/6 + 14*v**3\/9 - 137. Determine t so that y(t) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*(v\/(v**(2\/7)\/v*v*v))\/v*v)\/v)**(-23))**(-32))**(-38) assuming v is positive.\nAnswer: v**(55936\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - y - 49, -j + y - 3*y = 17. Let r be (-82)\/(-7) - (-20)\/70. Suppose -r = n - 4. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 1248.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 36835.29mm?\nAnswer: 0.03683529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 (base 8) in base 12?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-0.5001.\nAnswer: 0.075015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 119*a**2 - 4*a**3 - 184*a**2 + 303*a**2 + 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(78)*5)\/(sqrt(18)\/((sqrt(3) - -3*sqrt(3)) + sqrt(3))) + 4.\nAnswer: 4 + 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/13 + 30\/195. Which is smaller: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = k - 8, -4*k = 2*s + s - 52. Let d = -10 + k. Suppose -o - o = d. Let g(n) = n**2 + 2*n + 1. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 10*k**2 + k - 7. Let v be r(10). Suppose -3*c - y = 5, 2*c - 37*y = -36*y + 5. Solve c = -n + b - v*b, 4*n = -5*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 14. Let o be y(16). Suppose 0 = 2*q - 0*q - 12. Let g = q + o. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.6, 4, 0.1, 3 in descending order.\nAnswer: 4, 3, 0.6, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.591*-0.3.\nAnswer: 33.1773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84221432*q**4*x + 334*q**2*x + 46*q**2 - 2*q*x + 2*q - 3*x - 3 wrt q?\nAnswer: -2021314368*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/10)\/(63\/20790*-66)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 14) in base 15?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*z - 456*z + 146*z - 84*z.\nAnswer: -842*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1031 (base 9) to base 14\nAnswer: -3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270388, 270451, 270514?\nAnswer: 270577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 - 222000210?\nAnswer: -222001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 2)*(-l + l - 2*l)*(-85 + 380 + 247) to the form m*l + c and give m.\nAnswer: 3252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*u, 4*u + 2*b = -12 - 14. Let x be u + (36\/(-27))\/(4\/(-15)). Solve -5*w - 5*m - 35 = x, -5*m = -w - m + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 + 436. Let z(p) = 13*p**2 - 4*p + 5. Let v(q) = 15*q**2 - 5*q + 6. Let r(f) = n*v(f) - 6*z(f). Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444 divided by 5\nAnswer: -444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*x**2 + 619*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + (4 + (-145)\/15 - 78\/(-234))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1, -83, -8 in decreasing order.\nAnswer: -1, -3, -5, -8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2848815 and 23895?\nAnswer: 25639335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 9 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -237. Let b = -172 + z. What is the greatest common factor of 52 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72 - 3?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*z + z. Let b = 1 + z. Suppose 5*i - 95 = -0*i - 5*v, 5*i - 4*v - 104 = 0. Calculate the smallest common multiple of b and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 25*l + 5*p + 28 = 0, 3*l - 7 = 2*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.46 (b) 6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/16 + 1\/4. Suppose q*o = 40 + 26. Suppose -v - 26 = -5*v - 2*s, 3*v - s - o = 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(320) + 0 + sqrt(320))*-1)**2 - (sqrt(320)*1 + 3 + sqrt(320) + 4).\nAnswer: 144*sqrt(5) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -219847 + 48?\nAnswer: -2197ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (15 - 17) + (2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8661.436g in nanograms?\nAnswer: 8661436000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 45 (b) -34 (c) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -446316055.5 rounded to the nearest 100000?\nAnswer: -446300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*f**4 - 2*f - 1129 wrt f.\nAnswer: -2964*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/400 + -319\/400. Which is the second smallest value? (a) -2 (b) 2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2. Let k(a) = 5103*a**2. Give k(f(g)).\nAnswer: 45927*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39029\/11511 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 8860200, 2 in decreasing order.\nAnswer: 8860200, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3 = n - 5*s, -n + 4 = 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(245)*-1 - sqrt(245))**2 + 5) - (sqrt(720) - ((sqrt(720) - (1*sqrt(720))**2) + -4) - (sqrt(720) - (sqrt(720) + 2*sqrt(720))**2*1)).\nAnswer: -9174 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -65155+-21188.01\nAnswer: -86343.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 24*q + 3*q**3 + 28*q - 4 - 2*q**3 - q**2 + q**2 + (2 - 2 - q**3)*(0 - 1 + 0).\nAnswer: 2*q**3 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:29 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 5*h, 0 = -2*m + 3*h + h + 2. Let c be (-6 + 3 - -9) + m. Suppose 2*n = c*l + 18, -5*n + 1 + 49 = -5*l. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50770066 (base 8) to base 12\nAnswer: -372161a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 2. Let f(g) = g**2 + 7*g + 2. Let j be f(-6). Let u = -7 - j. What are the prime factors of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/6 - -4 - (-261000010)\/(-15). What is g rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 4*f**2 + 63 - 95 - 2*f - 3*f**3 - 3*f**2 to o + z*f**2 + d*f**3 + b*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + o = 821, -3*o - 3 = -18 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2488 divided by 1244?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 2, o: 1, h: 1, m: 1, t: 2}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.73395309 to two decimal places.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 v, and 1 l when four letters picked without replacement from rlrbjsjjjsjbsrjvjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487 - -193. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -68. Let g = -23 - k. Solve -3*v = -0*a + 2*a + 16, 3*v - g*a + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 8008.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 90. Let x(t) = -t - 9. Give x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.2*-0.4\nAnswer: 25.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*l = 174*l - 659*l + 12348 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let q be ((-9)\/(-6) - j)*-8. Let t = 1 + q. Solve b + 2*b - w = 11, -w = t*b - 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -611678 (base 10) to base 5.\nAnswer: -124033203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(84) + (sqrt(84) - 1*sqrt(84)))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.6 - -420.6. Let p = t + -469. Round p to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(36)\/sqrt(3)))\/(-1*sqrt(108)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2296 and 19680?\nAnswer: 137760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -615109, -615107, -615105, -615103?\n\"Answer: 2*c - 615111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815) - sqrt(1815)*-1 - sqrt(1815))\/(-2*sqrt(80) - sqrt(5)).\nAnswer: -11*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-100)\/(-6))\/((-373)\/(-11190)) and 1125?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 56. Suppose 0 = x - g - 25, -5*x - 64 = -g - 205. Let o be a(x). Solve -o*j - 2*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**10))\/x**(4\/7))\/(x**(2\/11)*x*(x**(-7)\/x)\/x))**(-7\/5) assuming x is positive.\nAnswer: x**(-1328\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62061437?\nAnswer: 5711, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1623 and 113\/77904?\nAnswer: 77904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:46 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29967.153 and 0.02.\nAnswer: -599.34306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/140 - x**6\/16 - 9*x**5\/40 + 81*x**4\/16 - 27*x**3 + 113*x**2. Factor y(k).\nAnswer: 3*(k - 3)**3*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**3 - 10*l**2 + 4*l**3 + 11 + 3*l**3 + 12*l**2 + 7*l to the form r*l + c*l**3 + f*l**2 + n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 125 = 5*w + 4, -3*w = 2*p - 55. Let c = 34 - w. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 1 + 1 + (0*p + p - 3*p)*(-4 - 1 + 3) to s*p + g and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 3, n: 6, l: 2}. What is prob of sequence liki?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/28)\/(j\/(j\/(j\/(j*(j*j**(5\/2)\/j)\/j)))*j) assuming j is positive.\nAnswer: j**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/8*372\/558)\/((-12)\/(-112))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = -8*t. Suppose 56 = 5*b + 3*q - 60, -5*b + t*q = -102. What is the least common multiple of 8 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 93*c**2 + 4*c + 4 - 190*c**2 + 95*c**2. Let q be (4\/5)\/((-4)\/(-10)). Suppose q*u + 3 = u. Let n(a) = -2*a**2 + 3*a + 3. What is u*x(l) + 4*n(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13705, -15118, -16517, -17896, -19249, -20570, -21853?\n\"Answer: g**3 + g**2 - 1423*g - 12284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t**2 + 298*t - 34. Is 174 a factor of n(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a + 6. Suppose -7*t + 8 = -a. Let o be 1276\/8 - (-1)\/t. What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.047 from -31962070.\nAnswer: -31962070.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-51 + 128 - 163).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(243) + -3)**2 - ((sqrt(243) + -5 + sqrt(243) + sqrt(243) + sqrt(243)*-1 + sqrt(243))**2 + sqrt(243))).\nAnswer: -1231 + 369*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 1. Suppose 1 = c + 2. Let u be o(c). Suppose -2*h - 178 = -2*v, u*v - 264 = -h - 13. Calculate the highest common factor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42*((-28)\/(-630))\/2)\/((-28)\/(-40)). Let -a - 2*l - 2\/3*l**5 + 0*l**4 + 8\/3*l**3 + 4\/3*l**2 = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 231, 243, 271, 321, 399, 511, 663, 861?\n\"Answer: t**3 + 2*t**2 - t + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 3 (c) -1749 (d) -19 (e) 2\/7 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwdwmia. Give prob of picking 1 i and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5911501 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2284 - 2283. Let g = -1 + 1. Which is the closest to g? (a) -1\/2 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25155207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmckdymyq. What is prob of sequence cdmq?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 53232?\nAnswer: 53232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 3. Let f be d(8). Let j be (-4)\/f*12\/8. Let z = -2 - -3. Is j <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60247 divided by 14.\nAnswer: -60247\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 115 + 51)*(-8 + 8 + m)*(-m**2 + 0*m**2 + 4*m**2).\nAnswer: 705*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 50*b - 54*b - b**2 + b**2.\nAnswer: -6*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + 27.7. Let l = p - 27. Which is greater: 0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 31*x**3 + x**2 + x - 1. Let v be p(1). Let i = v + -31. Is 382 - (i - (-8)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 88574455?\nAnswer: 35429782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4338659 to 3 dps.\nAnswer: 0.434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 304 = -1936. Let k be ((-12)\/(-14))\/(96\/m). Solve -2*i = -6*i - k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8063860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/((1064\/(-12))\/(-19)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-499)\/(-4) + 9\/(-12). Suppose 3*o = -5*j - 0*o - 138, o = 4*j + t. Let w be 18\/j + (-22)\/(-70). Is w at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6653 * -0.2.\nAnswer: 0.93306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 8*m**3 + 0*m**3)*(0*m + m + 0*m) - m**4 + m**4 - 3*m**4 + (-2*m**2 + 0*m**2 + m**2)*(4*m**2 - m**2 - m**2).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4445 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -0.033 (c) 1656 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1296 + 1229.3. Let a = o - -13.4. Let i = a - -53.300333. Round i to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -659, 17, 0.03, -2 in decreasing order.\nAnswer: 17, 0.03, -2, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 890096, 890083, 890070?\n\"Answer: -13*w + 890109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:31 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10587 - 21171\/2. Let -3*c - u + 9\/2*c**2 = 0. Calculate c.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9*s + 2 - 3*s - 4.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*i**2 + 4*h**3*i - 979430*h**2*i**2*z**2 + 17714*h**2*i*z**2 + 5*h**2*i wrt i?\nAnswer: 8*h**3 - 1958860*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 3*o + 4. Suppose 7*p - p = 246. Suppose -q - 66 = -p. Let c = -30 - q. Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 172*f - 676. What is n(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 12. What is the third derivative of y*c**2 - 2*c**2 + 2*c**2 - c**2 - 6*c**6 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 6*y - 4*y - 2*y + 2*y - 2*y + 2 - 2*y - 2 + (5 - 3 + 3)*(2*y - y - 2*y) + 0*y - 3*y + y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 548 = 2*x. Let c = -69 - x. What is the third derivative of -36*q**5 - c*q + 34*q + 34*q - 7*q**2 wrt q?\nAnswer: -2160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-825)\/(-330)*(-28)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 7*n**2 - 7*n + 3. Suppose -5*s = -19 - 1. Calculate the remainder when a(-6) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 3115.\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 108*f**2 + 555*f - 450.\nAnswer: 3*(f - 30)*(f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j - 49. Calculate p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*z, 4*n = 3*n + 3*z. Suppose g = -5*v, -v - 5 + 4 = n. Suppose -3*h - 6 = 0, -g*h - 2 = -s + 9. Solve s = -y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 1, b: 2, y: 5, t: 6}. Give prob of sequence by.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 14230 - 29*l**2 + l - 2*l + 14124 + 28*l**2 as h + o*l**3 + z*l**2 + r*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/7 - 282\/(-7) is divided by (-114)\/33*-11 - 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800) + (sqrt(3800) - -4*-1*sqrt(3800)) + sqrt(3800) - (sqrt(3800) - 1*1*sqrt(3800)))\/(4*(-2*sqrt(162)*-5 + sqrt(162))).\nAnswer: -5*sqrt(19)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -151.23. Let v = p - -3.428. What is v rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:47 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 16*c - 8. Let p(n) = -2*n**2 - 31*n - 15. Let w(q) = -6*p(q) + 11*t(q). Calculate w(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -22. Let l(w) be the third derivative of w**5\/60 - w**4\/8 + w**3 - 2*w**2. What is the units digit of l(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*x**2)*(-3 + 3 - 1) - 2*x**2 - 2*x**2 + 5*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 v, and 1 m when four letters picked without replacement from {w: 3, m: 2, o: 2, v: 3, u: 1, l: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -6*o**7\/7 + 4*o**3\/3 - 7. Find the third derivative of v(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3112\/60 - 2\/(-15). Suppose -a*h = -60*h + 1848. List the prime factors of h.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448032383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -286, -285, -284?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 6 - 145*r + 12*r**2 + 131*r - 4. Let i be s(-13). Find the second derivative of 5*v**3 - 7*v**3 - 7*v**i + 9*v - 10*v**3 wrt v.\nAnswer: -114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o + 5. Let i be c(5). Let m(d) = -3 + 13 - 5 + 5*d + d**2 - 1. Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383838 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r - 314 = -179 + 230. Solve -5*y + 0*v = r*v + 20, 2*y + 8 = v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**1*k))**31)**(-11)\/(((k\/k**4)\/k**(-2\/23))\/((k**(-4)\/k)\/k*k*(k*k*k**(2\/9)*k*k*k)\/k)) assuming k is positive.\nAnswer: k**(71029\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/24 + 1179*u**2. Let p(o) = 1811*o**2. Calculate p(z(c)).\nAnswer: 1811*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(2 - -2))\/((-16)\/1). Let p(o) be the first derivative of 1\/16*o**4 - w*o**2 + 1\/2*o + 3\/20*o**5 - 5\/12*o**3 - 3. Solve p(m) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.12 and 836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 36*n + 391. Let x be g(-10). Solve -5*l + 221 - x = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaa when three letters picked without replacement from {q: 5, a: 3, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/10 - -31\/90. Let s = v - 5\/3. What is the nearest to -0.04 in 0.1, -5, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 58. What is the least common multiple of m and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 5 + b**3 + 13 - 68*b**4 + 66*b**4 to l*b + c*b**4 + j + x*b**3 + k*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.4 (c) -95.7 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -914, -18, -1, 1, 4, 21 in decreasing order.\nAnswer: 21, 4, 1, -1, -18, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432.6 rounded to the nearest ten?\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -63. Let r = -1 - -2. Is 17 a factor of -2 + (36\/r)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 399 + -395. Let t be (3 + -2 - -1) + 0. Suppose -3*g - t*g = -65. What is the remainder when g is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 467, 700, 933, 1166, 1399?\nAnswer: 1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 1 - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241208718.\nAnswer: 2, 3, 29, 401, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -621 + 179 - 2*l**2 - 496 - 760 + 259 to g*l + x + m*l**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i - 54. Let v be p(6). Suppose -2*t + 3920 = 6*t. Suppose -d - t = -4*m, -2*m - 2*d + 6*d + 252 = v. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (363\/1331)\/(1\/11). Which is smaller: 75\/38 or u?\nAnswer: 75\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = -247*p + 280*p. Solve 3*y = -3*y - p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284 - 126.9?\nAnswer: -126.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {j: 1, k: 1, l: 1, c: 1, p: 2, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 73*b**2 - 510*b + 63. What is l(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (6 - 7) - 7 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**4 + 3534*u**3 + 255*u - 157481729?\nAnswer: 4*u**3 + 10602*u**2 + 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8077236 times -1?\nAnswer: 8077236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217744, 217746, 217748?\nAnswer: 217750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -51, 99.\nAnswer: -51, -11, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/175 or 0?\nAnswer: -27\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**7*p))\/p*p*p**5*p**9\/p*p**5\/p*(p*p*p**(2\/33)*p**(-9))**(6\/11) assuming p is positive.\nAnswer: p**(631\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 27. Let b be -39*((-44)\/12 + 4). Let j be m(b). Let p = -69 + j. Put -5, p, -1 in increasing order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let b(s) = s + 16. Let z be b(-12). Let l(o) = 11*o**2 + 7. Let y(p) = 6*p**2 + 4. Let m(j) = z*l(j) - 7*y(j). Determine d(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 - r - 3. Let h be s(-5). Let g be (h\/(-8))\/((-39)\/52). Let l = 10 - 8. Which is the nearest to 2\/3? (a) l (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -86, -94, -102, -110?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 15 + 18)*(1 + 3*r**2 - 2*r**2 + r**2) to u*r**2 + x + i*r and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = u, -2*z - 4*u = -32. Suppose z*k = 2*k + 704. Calculate the highest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:17 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecqqcqbciqieb. What is prob of picking 2 e and 1 q?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from jgghjphgjg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*n + 325 = 0, c - 4*n - 158 = -c. Suppose -2*m + 2 = -2*t, -83*t + 8 = -c*t + 4*m. Put t, -3, -18 in descending order.\nAnswer: t, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5015, 5013, 5011, 5009?\n\"Answer: -2*v + 5017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = 35*g + 856 + 656 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -616.77 and -5.\nAnswer: 3083.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 73122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2. Let g(w) = 51986*w**2. What is j(g(s))?\nAnswer: 2702544196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -979*j**3 + 244 - 628 - 504 + 978*j**3 - j in the form x + i*j**3 + k*j**2 + a*j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664*r + 1663*r + 3*j + 33 = 0, -3*j - 12 = -2*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -683, 2, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:45 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dodo when four letters picked without replacement from {d: 7, o: 2, e: 7}.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -4*g**2 + 4*g + 8. Determine m(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24294 rounded to the nearest one hundred?\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 598*p. Let b(r) = -596*r. What is -6*b(w) - 5*s(w)?\nAnswer: 586*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5404040 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2200)\/(1\/(-465)*-6). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-1040)*((-24)\/112)\/(-1)\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6632604 to the nearest integer?\nAnswer: 2575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 0*i**2 - 2*i**2)*(-i + i + i) + 32*i**3 - i**3 - 63*i**3 + 0*i**3 - i**3 + 6*i**3 to y*i + o*i**3 + g + l*i**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 2*l**2 + 4*l - 3. What is the remainder when 36 is divided by z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((37 + 25 - 25)*(-2 - 2*s + 2) + (0*s + s - 2*s)*(3 - 7 + 2))*(-3*s - 2*s - s) + 0 + 2*s**2 + 0.\nAnswer: 434*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13\/4 (b) -2\/5 (c) 47 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 50 + (-1 - (-9 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 9) to base 12.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319.53 + -319. Which is the closest to 2? (a) p (b) 4 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 354236*p - 354239. Determine m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(363)*-2 + -5)*-1 + (((sqrt(3) - (sqrt(3) - sqrt(12))) + sqrt(3) + 5)*-4 + 3)*-2.\nAnswer: 37 + 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 24. Let h be w\/10*(-1085)\/(-14). Suppose 4*t - 456 = -t + o, t - h = 2*o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182322665 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -33 - -5 - (-26 - 3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, u: 4, z: 1}. What is prob of sequence uq?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 66. Suppose -2*q + 2*b = -8, 0 = 2*q + 2*b - b - 11. Suppose -5 = -2*l + q. Solve -l*n - 2*c - p = 0, n - c + 4 = -4*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121922522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 41, -8?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(-1\/5))\/(n*n**0*n*n))**(-3\/17) assuming n is positive.\nAnswer: n**(-3\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 6, y: 8, b: 1}. Give prob of sequence lyy.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 60. Let r(n) be the third derivative of n**5\/20 + 1760*n**2. Give r(f(m)).\nAnswer: 3*m**2 + 360*m + 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let f(o) = -11*o - 5. Let q(g) = -14*g - 5. Let b(u) = -69*u - 24. Let d(k) = -2*b(k) + 11*q(k). What is n*d(w) + 7*f(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23458801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 + 31460*z + 62904 = 0.\nAnswer: -7863, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*((-5480)\/3836)\/((-1)\/42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*q. Suppose -144 = m - q*m. Suppose 0 = -3*j - 0*j - 3*b + 72, 5*j - m = b. What is the highest common divisor of 140 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -19. Suppose -u + 1 - 6 = -l*m, -2 = 4*u + 2*m. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 4*c**4 + 1994*c**3 - 50168*c wrt c.\nAnswer: 20*c**3 - 48*c**2 + 11964*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9422153.\nAnswer: 13, 724781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/7 - 109871946*s**3\/7 + 329615820*s**2\/7 - 329615814*s\/7 + 15695991.\nAnswer: 3*(s - 36623979)*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 - -1992\/7. Determine x, given that 8\/7*x**2 + 2*x**5 + 2*x - f - 4\/7*x**4 - 4*x**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-14))\/((-3)\/21). Suppose 3*y - n*y = -p - 1, -3*p = -2*y - 11. Suppose 0 = -y*h - 0*h + 8. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27403673 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2928716, 5857411, 8786104, 11714795, 14643484?\n\"Answer: -p**2 + 2928698*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-3\/5)))\/(w*w**(3\/4))*w**(-5)\/w**(-7\/3))\/((w**(-2\/7)\/w**1)\/((w\/(((w**(-7)\/w)\/w)\/w*w)*w*w*w)\/w**(2\/13))) assuming w is positive.\nAnswer: w**(49769\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*i**3 - 3*i**2 - 6583*i - 19326892 with respect to i.\nAnswer: 183*i**2 - 6*i - 6583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134, 95, 24, -79?\n\"Answer: -16*k**2 + 9*k + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 91 = h - 6*h, 89 = d + 4*h. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3 = 2*j, -3*j + 0 - 7 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1792\/29 + 15896\/261. Is p >= 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 - 3. Let r be 19 + 0 + (-1 - 2). Suppose a = 5*a + r. What are the prime factors of t(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/360)\/(9\/(-15))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142\/9 - -958\/63. Let q = -39\/724 - 312289\/2172. Let v = q - -144. Put f, v, -3 in decreasing order.\nAnswer: v, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*k. What is the remainder when 40 is divided by 20\/1 + (2 - k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 82 + (1 + -4 - -1). Let n be (26\/(-9))\/(y\/(-12)). Let d = n - -1\/15. Sort 2\/3, d, 0.2 in ascending order.\nAnswer: 0.2, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/1260 + k**4\/4 + 5*k. Let b(p) be the third derivative of f(p). Let d(s) = -2*s**2. What is b(d(i))?\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, 659, 1427, 2195, 2963?\nAnswer: 3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1. Let w(u) = 6*u**2 + 5*u - 6. Calculate 6*r(m) + w(m).\nAnswer: 6*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 3. Let q = 209 - 207. Let s be a(q). Let u = 11 + -7. Solve 3*p - 19 = -2*t, u*t - 3 + s = 2*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.5 - -26.5. What is the closest to -5 in r, -6, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/7*158\/(-395)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 11*y + 80. Give l(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) - (-822940)\/936. Let i = 1747\/2 - b. Find the common denominator of 10\/11 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -27. Suppose 2*t - 41 = -t - 5*h, d = 4*t + 2*h. Solve 2*u + 1 = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r + 1854. Let j(k) = 19*k + 16. Determine z(j(b)).\nAnswer: 133*b + 1966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(2 - 4 + 1 + (2 - 9 + 4)*(-2 + 3 - 2) + 2 + 1 + 0)*((0 - 1 - 1)*(-3*r - 2*r + 3*r) - 4 - r + 4) to v*r + x and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 217\/868 - 22\/24 - 2296\/1092\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 6, 161, 5, -3.\nAnswer: -3, 5, 6, 77, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18) - ((-320)\/24 - (-4)\/2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:21 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 + 3989980*h**2 - 3989984*h = 0.\nAnswer: -997496, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 96*d**2 + 2*d + 11. Let z(t) = 19*t**2 - t + 1. Give -k(r) - 4*z(r).\nAnswer: 2*r**3 - 172*r**2 + 2*r - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-5)*1*45\/12*(-3208)\/3609.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4649058 divided by 153.\nAnswer: -30386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1744, 7, 4, 2 in decreasing order.\nAnswer: 1744, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i - 73*i + 4*i**2 - 5*i**2.\nAnswer: -i**2 - 96*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngqn when four letters picked without replacement from {g: 3, q: 11, w: 1, n: 4}.\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-26)\/6)\/(1\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(13) + 4 - (2 + sqrt(1573)) - (sqrt(1053)*3 - ((sqrt(52)\/sqrt(4))**2*-3 - sqrt(13)))).\nAnswer: 102 + 114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times 36?\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 0.2, -3075, 3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -285*o + 291*o. Solve -4*x + o = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -5 + 2*2. Suppose -6*j**2 + 3*j**4 - j**5 + 4*j**4 + 3*j - q*j**5 - j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 13. Let d(w) = -2*w - 13. Let j(y) = -2*d(y) + 3*m(y). Let o be j(15). What are the prime factors of 33 + (2 - 4) + o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9369*l - 319513 - 1138823 = 1950*l - 7772*l for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5*t - 3*t - 18, t + 6 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -231, -12 in decreasing order.\nAnswer: 26, -12, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from hhqqhqqqhqqh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 4. What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*m - 25, -17 = 4*i - m + 3. Let q(k) = k**3 + 6*k**2 + 4*k + 2. Give q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5706 and 6657?\nAnswer: 39942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2, x: 8, c: 4}. Give prob of picking 1 c and 1 x.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 40*k + 7. Let i be z(2). Let c = i + -40. Let n = c - 43. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3052888432.\nAnswer: 2, 11, 31, 559547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -21, 3, 47, 117, 219, 359?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + f + 10, -m - 5*f = -0*f + 12. Let l(n) be the third derivative of -n**6\/120 - n**5\/30 + n**4\/8 + n**3\/2 - 2*n**2. Give l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 12*s**2 - 37*s - 23. Let d be w(-7). Let c(q) = 16*q + 18. Determine c(d).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s - 290. Let g = 124 + s. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/90 and 223\/1315440.\nAnswer: 1315440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/17, -35\/4 in increasing order.\nAnswer: -35\/4, -4, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4841 is divided by 239?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 972, 2468, 4894, 8442, 13304, 19672, 27738?\nAnswer: 37694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 0 - (86 + -21 + -55)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -22. What is the second smallest value in x, 4, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 3*y - 4)*(-5*y + 3*y + 4*y) + 358*y - 358*y + 24*y**2 to m + d*y + h*y**2 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + n = -2*v + 167, -2*n - 142 = -4*v. Suppose 5*y - 516 = v. Calculate the highest common divisor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941349.99 hours in weeks?\nAnswer: 5603.27375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 562 - 14*f - 498 + 18*f. Let q be m(-8). Let r = 175 + -111. What is the highest common factor of r and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-8\/7))\/b**(2\/17))\/((b*b\/(b\/b**5))\/b**41) assuming b is positive.\nAnswer: b**(4406\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26944*v = -3*p - 26948*v + 26, -2*p - 4*v = 2 - 18 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 403\/26 - (-1)\/2. Suppose -r = 6*b - 46. Solve 0 = 5*z - 4*p - 4, 2*z - b*z + 4*p + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -12, -0.03, -67, -4\/5, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:20 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) 0.027 (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 32222932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 57?\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2546982, -5.\nAnswer: -5, 35, 2546982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -67*p - 8. Suppose -10 - 6 = 4*u, -2*n + u = -8. Suppose -5*b + 22 = 2*x, -n*x + 8 = -b - 2. Let o be i(x). Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 + 3 = 0. Let h(l) = -9*l + 7*l + 4*l - 1 - l. What is h(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 8. Suppose -3*l = -o + 62, o = -l + 2*o - 20. Let j = -13 - l. What is the remainder when c(j) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9)*(1 + 2). Suppose -8 = -4*f - 2*z, -u*f - z + 4 = -5*f. Suppose f = -i + 2*i - 14. What is the lowest common multiple of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/409023 and 37\/545364?\nAnswer: 1636092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 10440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) - 2479\/(-68). Let m = g - 2843\/102. Let h = -1530\/59 - -24523\/1180. What is the common denominator of h and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/17)*c)**(-47)\/(c**(1\/25)*c**2) assuming c is positive.\nAnswer: c**(-19667\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 26. Let j(p) = -p**2 + 13*p - 16. Let r be j(11). Let n be c(r). Solve 15 = -3*y - 2*t - n*t, -4*t - 9 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 209\/9. Which is bigger: -2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 12*l**5 - 127*l**4\/3 - 2614*l**3 - 19795*l**2\/3 + 63856*l + 484160\/3 = 0.\nAnswer: -8, -89\/36, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and 233.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and -47\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819152219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from kibtbvptp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u. Let h(d) = d**3 - 15*d**2 - 2*d - 13. Let n(a) = 4*a**3 - 53*a**2 - 7*a - 39. Let f(s) = 7*h(s) - 2*n(s). Calculate f(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 7*g = 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.5 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3\/2 (c) 12800522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.07 to 0 decimal places.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 5*k. Let z be 16\/(-2) + (-2 - -1). Let p = z - -4. Let i be s(p). Is 2\/7 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/9)\/((-3)\/18). Calculate the greatest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + s + 4, 3*o + 3*s - 5 - 1 = 0. Let c(v) = 11*v**o + v - 18*v**2 + 24*v**2. What is c(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96676 = -1643*a - 12883 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21*m\/(m*m*m\/m**(2\/15)))**(-41) assuming m is positive.\nAnswer: m**(-11767\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010110010 (base 2) to base 9.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x + 0 + (4 - 2 - 8)*(0*x + x + 0*x) + (-2 + 2 - 2)*(-5*x + 0*x + 3*x) - 4*x - 2*x + 4*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2630440 and -89\/1626?\nAnswer: 2138547720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326027.\nAnswer: 13, 31, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8559 or -8558?\nAnswer: -8559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -16. Let w be (-24)\/(-14) + 4\/f. Suppose w*s + 3*s + 275 = 0. Round s to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-46)\/i)))**(4\/21)*(i**(4\/13))**(3\/2) assuming i is positive.\nAnswer: i**(-2318\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05422 + -13.05422. Put -0.2, 0.14, -2\/9, t in ascending order.\nAnswer: t, -2\/9, -0.2, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 3*v**6\/10 - 2*v**5\/15 - 6*v**2 - 12. Let x(z) = 0. What is z?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992981.\nAnswer: 11, 90271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -14 (c) 89\/4 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 3*l**5 + l**5 + l**4 - l**4 - l**5 + (l**2 + l**2 + 0*l**2)*(2*l**2 - 2*l**2 + l**3) + 16*l**5 - 28 + 8 + 14.\nAnswer: 18*l**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 - -245. Let l = -549\/5 + i. Factor 0 - l*a**2 + 0*a + 1\/5*a**3.\nAnswer: a**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 1\/12*r**3 - 1 + 0*r - 1\/8*r**2. Factor m(w).\nAnswer: w*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.80167 to two decimal places.\nAnswer: 51.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667.21 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/22 - 2)\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 u when three letters picked without replacement from {c: 15, u: 4}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3537*c - 143345. Give m(41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655 greater than 4666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from {e: 7, c: 2, y: 7, x: 3}?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10 + (-20228)\/7780\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -57. Let w = 0.1 + -0.2. What is the nearest to w in -2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*u**3 - 967*p*u**2 + p*u - p - 4*u**3 - 43*u**2 - 8*u + 3 with respect to p.\nAnswer: -2*u**3 - 967*u**2 + u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -46 (b) -2 (c) 978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-55 - -38) - (1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*(-14 + 13). Suppose t*j - 2*j - 3548 = -4*x, 0 = -5*x - 4*j + 4461. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28546*a - 2 + 2.\nAnswer: 28546*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 310428.79 rounded to the nearest 100?\nAnswer: 310400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/7 + ((-4)\/(-18) - (-4890)\/(-4725))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 - 8*x**2 + 32*x - 19. Let z be g(15). Find the second derivative of -7*v - 4*v**5 + z*v + 5*v**5 wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 19*r**2 + 161*r - 1340. Let c be u(9). Let x(v) = -9*v - 2. Let q be x(-8). Calculate the greatest common divisor of q and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - r**3)*(0*r**2 + 0*r**2 - 2*r**2) - r**5 - 3*r**5 + 3*r**5 + 2*r - 5*r**5 - 2*r + (-r**3 + 4*r - 4*r)*(-r**2 + 2*r**2 + r**2).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let s be x(2). Suppose -2 = -w + s, 0 = o - 3*w - 60. Suppose 8 = -2*z + 3*z. Calculate the greatest common factor of o and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2145163 (base 7) to base 14\nAnswer: 6c06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12\/48)\/((-2)\/(32\/(-10)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 7 - 8*l - 9 - 2. Let s be w(-2). Solve 2*d + 2*a + a + 5 = s, 0 = 5*a + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 2) + (-13 - -42 - 38).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 10. Let a(u) = 2*u - 7. Let i be a(s). Suppose 7*p - 2*p - 85 = -i*l, 3*p - 49 = -l. Calculate the smallest common multiple of p and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-6 - 2 - 0 - (-26 - -15)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58068 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 7*p + 5. Let m(l) = l**2 - 21*l - 100. Let j be m(-4). Let k be x(j). Solve -8*g + k = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758042?\nAnswer: 2, 269, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 48*l**2 - 895*l - 3. Calculate the remainder when 967 is divided by r(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482979 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654188.6 microseconds in minutes?\nAnswer: 0.02756981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 5*m**2 + 5*m - 2. Let l be n(4). Let o be l*70\/12*3. Let t be (-10)\/(700\/(-14)) + 48\/10. Solve 5*s = -5*r - o, -t*r + 0*s + 5 = -3*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2693.\nAnswer: -269.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9463 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1068 = -4*d - 1067, 3*n = -d + 2. Suppose 1184 = -3*y - 5*u + u, -2*y - 786 = u. What are the prime factors of (y + d)\/((-12)\/8)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/149 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 8*q**2 + 2*q - 9. What is d(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -18. Are -12 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 2675*r**2 + 933352*r + 87703728.\nAnswer: (r + 196)**2*(r + 2283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3267467 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59220*k*y**2 - 1802*k*y + 22*y**2 + 368*y wrt y.\nAnswer: -118440*k + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1356 divided by -381.\nAnswer: -452\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18192382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 4*d + 19. What is f(8)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*(-16 + 1). Suppose u - 1 = 5*h. Determine n so that -h - 3*n + 1 + 3*n**2 - 6 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**5 - 29 - 6*x + 2\/3*x**3 + x**6 + 0*x**4 + 0*x**2. What is the third derivative of z(r) wrt r?\nAnswer: 360*r**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*q - 12*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 16*i - 69. Let z be g(11). Let o be (z\/(-5))\/(8\/20*1). Let t(r) = -2*r + 9. What is t(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 + 8 = 2*k, -5*k = -j + 8. Is (-79)\/(-3) - 1\/j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10872 and 1255112.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -3, 4, 0, 3682 in decreasing order.\nAnswer: 3682, 4, 3, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 26*r - 38. Let x(z) be the second derivative of 19*z**4\/12 - z**3\/6 + z**2\/2 - 14*z. Let f be x(-1). Is u(f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26e0 (base 15) in base 16?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p. Suppose p = -a + 3*g - 10, 0 = 3*g - 2*g - 5. Let v(s) = s**2 - 5*s + 15 + 0*s**2 - s - 8. What is v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.964 - 89. Let v = m - -1.036. What is the closest to 1 in -8, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373629299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.052359 or 1195?\nAnswer: 0.052359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -28*q**3\/3 - 7*q**2 - 974*q + 1679. What is the first derivative of u(b) wrt b?\nAnswer: -56*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/30 + i**4\/24 + i**3\/3 + 55*i**2. Let g(n) = n**3 + n**2 - 1. Calculate 2*g(l) + o(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132.9 - 207.8. Let f = u - -74.90003616. Round f to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-55))\/(-1*1\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose m = 2*n + 10, 3*v - 3*n = 35 + 31. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {r: 1, b: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 32. Let s(m) = -2*m**2 + 12. What is s(z(o))?\nAnswer: -2*o**2 + 128*o - 2036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-5)\/3. Let v = 3 + t. Factor 1\/2*k + 0 + v*k**2.\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32420?\nAnswer: 2, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -293. Solve 0*w - 3 = -w, 3*j + l*w - 27 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 30 = 5*n, -3*n + 30 = 26795*l - 26790*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 10 = 5*f, 5*v + 15 = -5*f. Solve l + f*t + 10 = 5*l, -4*l = -4*t - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, 32090, 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3003.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((((g**(2\/7)\/g)\/g)\/g)\/g))**32\/((g\/((g**3\/g)\/g))\/g**(-4)) assuming g is positive.\nAnswer: g**(1028\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 6*a**2 + 2*a - 2. Let q = -741 + 797. Suppose 0 = 101*b - 97*b - q. Calculate the lowest common multiple of h(-4) and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5)\/x)**(-23\/3)*(x**(-7\/4)*x)\/x*x*x**(-5) assuming x is positive.\nAnswer: x**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88, -154, -220, -286, -352, -418?\n\"Answer: -66*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41006 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22778, 22783, 22792, 22805, 22822, 22843, 22868?\nAnswer: 22897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + -4 + -2 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.7. Is l >= 0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214681 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - (35 - (4 - -62))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 - 99 = -76920*x + 76896*x, 2*m + 5*x = 53 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 27 = -15*t + 14*t, 4*r - 16 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043785313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in 0, -3, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(6\/17)*g)\/g*g**(1\/24))\/((g**29*g)\/(g*g**(-1\/10))))**(-2\/5) assuming g is positive.\nAnswer: g**(57959\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -18 + 10 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 3\/((-24)\/26). Let u = -5 + j. Let y(m) = m**3 + m**2 - m + 2. Let g be y(-2). Which is the nearest to g? (a) -2\/5 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five eighths of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 - 630061052*d\/13 + 49622116155918338\/13.\nAnswer: 2*(d - 157515263)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -2\/15 (b) -0.07 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3161236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19559, -78235, -176025, -312929?\nAnswer: -488947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-96) + (-3)\/9. Let i = z + 1\/32. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317982066?\nAnswer: 2, 83, 277, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, 149, 520, 1103, 1904, 2929, 4184?\n\"Answer: y**3 + 97*y**2 - 133*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.234 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40977405.61 and 0.2?\nAnswer: 40977405.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 + 5*d + 2. Let l be u(2). Calculate the remainder when 61 is divided by ((-21)\/(-6) + l + 1)*26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 1502 = 3*g + g, -4*x + g = -412. Calculate the highest common factor of x and 3165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*w**5 - 25*w**5 + w**5 - 5*w**5 + 4*w**5 + 3*w**5 + (-2 + w + 2)*(w**3 - w**3 + 2*w**4) + 11*w**5 - 4*w**5 + 2*w**5 + 2*w**5 - w**5 + w**5.\nAnswer: -32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 6553)*9\/(-9) + (-7)\/(-1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 890. What is g rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96)\/(-18))\/((-2)\/(-6)). Let z = 10 - 6. List the prime factors of (z + -1)\/(12\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0 + 0*t**3 + 49*t + 10*t**2 - 1\/10*t**5 - 1\/4*t**4. What is the first derivative of x(i) wrt i?\nAnswer: -6*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 443 + -434. Let v(j) = 10*j + 0 - j**2 + 3 + 8. Is 10 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*((-756)\/(-1764) + 82\/(-28)). Solve -b + 55 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1888, 1875, 1846, 1795, 1716, 1603?\n\"Answer: -q**3 - 2*q**2 + 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 21*y**2 + 9*y - 11. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -5*m + 125. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 243 = 7*y. Let t = y + 19. Let p = t + 123. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -201.36513 and -883.\nAnswer: -1084.36513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - (-2 - 0)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utgc when four letters picked without replacement from gcgcutggcu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 3 = 0. Let d = -16 + 27. Suppose l + 12 = d. Which is the nearest to -1? (a) u (b) 4\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-372)*(-334 + 1295)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -441053100*k**2 + 11159*k + 2453 wrt k?\nAnswer: -882106200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t - 78\/5*t**2 + 2\/5*t**4 + 0 + 36\/5*t**3.\nAnswer: 2*t*(t - 1)**2*(t + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717835.67 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let r(t) = 10 + o*t**2 - 10. Let g(l) = -6*l + 4. Let c(n) = -5*n + 3. Let s(y) = -4*c(y) + 3*g(y). Give r(s(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-5)*5*(-3)\/3. Let g be (3 - 2)*-2 - -2. Find the third derivative of j - 5 + g + 9*r**6 + 4*r**2 wrt r.\nAnswer: 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704830 divided by 8.\nAnswer: -352415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -24. Which is the biggest value? (a) 7 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*y - 15511 = -5*k + 118*y, k - 3*y - 3113 = 0. What is the greatest common factor of k and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-6 - -4) + -8 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 293*v**5\/8 - 4103*v**4\/4 + 3523*v**3 - 24*v**2 = 0?\nAnswer: 0, 2\/293, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (14 + 0 - (-96 - -109) - -51)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 296?\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 832762 and 832766 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/177 + -559\/1239. What is the biggest value in 2, c, -2\/11, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 - -1 - (-38 + 15 - -31).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*u + 18, 0 = l + 2*l + u + 2. Is l greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 748124631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185220 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -119*c**2\/2 - 154*c + 88. What are the prime factors of b(-10)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/14*(4\/(-8) + -3). Let y(s) = -s**2 + 11*s - 29. Let i be y(b). Is i less than 18\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/6, -94, -29, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 10618?\nAnswer: 29\/10618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -51, -2, -0.5, -1.342?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-4)\/(16\/(-4)). Suppose 7*a + s = 20. Suppose -a*j + 386 = 4*l, 2*j - 3*l + 0*l - 358 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t + 2*t - t**3 - 6 - 5*t + 3*t - 7*t**2. Let k be g(-6). Suppose 5*a - 2*a = -6. Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + x - 5. Let p be b(3). Calculate the highest common divisor of p and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4119 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 times -140?\nAnswer: -443800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41c0 (base 16) to base 13\nAnswer: 787a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2048*t**3 + 12287*t**2 + 2*t + 37. Determine k(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 2:50 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*m + 12 = 1, 3*o - 2*m = -1. Let u be 6\/(o - (-2 + 7)). What is the tens digit of ((-2)\/u)\/(1\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3745\/11 and -340 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31096304 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*i**2*p + a**2*i*p + 7207*a**2 - 478*a*i**2 + 16*i**3*p wrt i?\nAnswer: -2*a**2*p - 956*a + 96*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -2147*t + 1060*t + 1084*t for t.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2. Let z be 0 + 4\/12*6. Let v(p) = -3*p**3 + 5*p**2 - 1. Let g be 1\/(-4) + 21\/4. Determine g*c(h) + z*v(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/3871*(-14)\/(-1).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) 3.7 (d) -0.4 (e) -3629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -127*v**3 + 889*v**2 + 889*v - 1778. Let g(b) = b**2 + b - 2. Give 1778*g(h) - 2*l(h).\nAnswer: 254*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 267.162?\nAnswer: -273.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1188 and 1485.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v - 5*v + 0*v + (3 - v - 3)*(0 - 4 + 2))*(-v + 4*v - v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 89172. Suppose -1915 = 23*q - o. What are the prime factors of q?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-504)\/(-14))\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 + 41180. Let m(n) = 1242*n. Give m(c(i)).\nAnswer: 7452*i**2 + 51145560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -11. Let r = y - -22. Suppose -4*d = 5*f - 33, -2*f = -r*d + 4*d - 27. Calculate the remainder when 17 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1643775 + -107?\nAnswer: -1644104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:50 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(w + 3*w - 6*w + (-6 + 4 + 0)*(w - w - 2*w) + 2088*w + 197*w - 152*w)*(0*w + 3*w + w)*(0 + 4 - 6).\nAnswer: 17080*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-78) - (0 + (-184)\/3). Find the first derivative of 21*r - 1 - 4 + 4*r + b*r wrt r.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 0.2. Let f = p + 7. Let t be (522\/783)\/((-42)\/27). What is the nearest to f in t, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -6059, 1, -79 in descending order.\nAnswer: 1, -33, -79, -6059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgnspgnps. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318 - -2012. List the prime factors of b.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 182*r + 191*r - 330*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2078 + -2077.7. Sort -0.1, h, 0.02, 2, 5 in descending order.\nAnswer: 5, 2, h, 0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54132, -108231, -162330, -216429, -270528, -324627?\n\"Answer: -54099*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69291193 a multiple of 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*r + 13, -2*r + 17 = -3*r - 5*g. Let b = -3 - 1. Let l = r - b. Solve o + l = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j + 8. Let t(w) = -8*w**2 + 17*w - 12. Let x(q) = 3*q**2 - 6*q + 4. Let c(d) = j*x(d) + 6*t(d). Differentiate c(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 + 232. Differentiate -8 + 38*p**3 - 86*p**3 + p**2 + 38*p**3 + l wrt p.\nAnswer: -30*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29087 and 901204?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/299, -7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153*a - 1392*a**4 + 2118 - 5*a + 2*a**3 + 1391*a**4 wrt a.\nAnswer: -4*a**3 + 6*a**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2))\/sqrt(8))**2 - sqrt(3) - (sqrt(48) + sqrt(3) + 4).\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h**4 - 7*h**2. Let a(o) = -o**2. Let l(k) = 5*a(k) - w(k). What is the third derivative of l(q) wrt q?\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19948, 39893, 59838, 79783, 99728, 119673?\nAnswer: 139618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -923462 + -651?\nAnswer: -924113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 51*m - 25. Let j(q) = -102*q + 55. Determine 13*f(v) + 6*j(v).\nAnswer: 51*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17709.33 rounded to the nearest one hundred?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -498321613 at least -498321611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - d + 19*d - 11*d - 10*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*i - 336, -7*i + 5*i = 3*q - 332. Calculate the highest common divisor of 32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113\/18 or 5?\nAnswer: 113\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (10028\/(-4) - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1. Let u(b) = -4*b**2 + b + 2. Give -4*f(a) + u(a).\nAnswer: -4*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 92)\/(-4) + -3. Let g = s - -24. Let n(d) be the third derivative of d**4\/8 - 2*d**3\/3 + 2*d**2. Let u(a) = -a + 2. Determine g*n(v) - 7*u(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/3 + -130\/21. Let x = -333 + 330. Which is the nearest to i? (a) -5 (b) x (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 91*j**2 + 470*j**2 - 4*j.\nAnswer: 379*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6900.526 micrometers to centimeters.\nAnswer: 0.6900526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3231*b + 1085*b + b**2 + 1081*b + 1065*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.275 (c) 1\/5 (d) -929 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 49, 61, 71, 79, 85, 89?\n\"Answer: -b**2 + 17*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1541 - -1482) + -5 + 1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14)*-1*-1. Factor 6\/7*f**2 + 0 + r*f**3 + 4\/7*f.\nAnswer: 2*f*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -467 + 213. Let p = 275 + o. Let i(u) = -8*u**3 - u - 1. Calculate the remainder when p is divided by i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/379 - -4912\/1895. Let f(n) = 2*n - 1. Let o(j) = j. Let u(d) = -f(d) + 5*o(d). Let q be u(1). Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10593?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 144*u + 43. Let o(v) = 323*v + 86. Let s(a) = 9*n(a) - 4*o(a). What is s(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 868950 - 463529. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + -4010001?\nAnswer: -4010044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 10\/267 (c) 1\/6 (d) 4 (e) 0.6 (f) -0.4 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -48942.\nAnswer: -3\/5438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 33 = -4*i - 3*c, 0 = -3*i - c + 59. Let j = i - -95. Suppose j = 4*b - 123. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3*u**4\/4 - 9*u**3 + 36*u**2 - 60*u - 82. Factor o(r).\nAnswer: 3*(r - 5)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2871\/87628?\nAnswer: -2871\/87628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (1 + -9 - -1) + 15 + (-14 - 30)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, i: 3, k: 2, a: 3}. What is prob of sequence ffi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0442, -62, 1, -2\/5, -4 in increasing order.\nAnswer: -62, -4, -2\/5, -0.0442, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 35. Let f be (72\/(-54))\/(((-10)\/12)\/r). What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -10112002201120?\nAnswer: 10112002201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:15 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63879855 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38458 and 586250?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(245)*-1*-4 + -3 + sqrt(245) + 2))**2*4.\nAnswer: -22680*sqrt(5) + 1984824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 24 = -18. Let p(g) be the third derivative of 2\/21*g**3 - 1\/420*g**6 - 1\/735*g**y + 1\/70*g**5 - 3*g**2 + 0 + 5\/84*g**4 + 0*g. Factor p(d).\nAnswer: -2*(d - 2)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (3 + 3 - 4)*(-2 + 3 - 3) + 0 + 1 - 3 + 3 + 3 + 11 - 5 + 1 + 3 + (3 - 3 + 2)*(-2 + 3 + 0) - 2 + 1 - 1)*(8*p - 4*p - p).\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 0.06, -2120, -0.34?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010460966 to the power of 1\/3, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-9 + 1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 2:45 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = -24. Let v be (-4)\/(-22) + l\/(-440). Is -1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -743, 0, -11626, 2 in ascending order.\nAnswer: -11626, -743, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let y(b) = -3*b + 3. Let z be (-7)\/(-9) - 4\/(-18). Suppose 0 = -l + 2*l + z. Suppose 82 = -15*f - 26*f. What is f*p(h) + l*y(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -407 - 50?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998411?\nAnswer: 998411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - a - 10 = 0, -9*a = -4*a + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*1308015.5\nAnswer: 2616031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*h**5 + 2*h**4 + 111*h.\nAnswer: -2600*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -868*h - 6054. Let p be y(-7). Let a = 2 + 0. Solve a*j = -3*b + 7, b = -2*b - 5*j + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from nnnnnuuuuuuunnuu.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/111044 and -23\/16?\nAnswer: 444176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52b969 (base 15) to base 8.\nAnswer: -17012136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 22*r**2 + 16*r - 3. Let a be z(10). Is a greater than or equal to -1042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -94 (c) -0.2 (d) 2\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d6 (base 15) in base 2?\nAnswer: -11000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.193 rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3833696 and -17\/1504.\nAnswer: 3833696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:33 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 + 2 + 6*h - 8 - 8. What is the remainder when x(7) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/((-7)\/1082))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*z = -u + 87, -z = -u + 29. Let p be 11\/((-470)\/3190 + (-2)\/(-11)). What is the greatest common divisor of p and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.194*-2.18.\nAnswer: 33.12292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2453?\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/6*(-45)\/1. Suppose u = 3*c - 4*x, x = c - 4*c + 135. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -0.0831?\nAnswer: -0.0831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 6. Suppose 89 = 4*d + 397. Let t = -77 - d. Calculate n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -7. Let w be (y + 1)*1 + 12. Let n = -1878 - -1881. Sort w, n, -4 in decreasing order.\nAnswer: w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 5*t - 2, -t = 3*y - 22. Let q be 1441\/y + 2\/(-12). Suppose 7*x - q = 3*x. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + q = 7*r, 0 = 6*r - 3*r + 2*q. Which is the fourth biggest value? (a) -2\/11 (b) 5 (c) r (d) 0.089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -84, -124, -164, -204, -244?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90380.7 + 0.2?\nAnswer: 90380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1983 + 5328. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9, 138 = 3*z + o + o. Let q = z - 42. Solve q*t + t + 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 233 = 115. Solve 2*y - 4 = 2*c, -l*y = -3*c - 13*y + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 - (-1008)\/120.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 543 + -174667?\nAnswer: -174124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-504)\/((-4)\/(24\/9)). Suppose -k + 66 = j, 0*j - 5*j - 3*k + p = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2299*m**2 + 89 + 749*m**2 + 2*m - 3212*m**2 - 7*m wrt m.\nAnswer: -9524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t - 3. Let h be 2980\/120 + (-1)\/(-6). Suppose -24*v + h*v = 3. Suppose 0 = 2*u + 6, 0 = -7*k + 2*k + v*u - 6. Calculate j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 - 279. Sort 6, -3, k, -4 in descending order.\nAnswer: 6, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, -7 in descending order.\nAnswer: 28, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 6*u - 2. Let o(p) = 3*p**2 + 4*p + 1. Let j(z) = -3*o(z) - 2*y(z). Let m be j(-1). Which is the closest to -0.1? (a) 1\/4 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/(-3*2\/(-108))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -70 + 1955. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45513? (a) 2\/15 (b) 10 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105268709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*o - 6, 2*q + 5*o - 3*o = -6. Suppose -5*u + 1901 - 1896 = q. Which is bigger: 2\/2371 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 272957094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 3595*u - 3589*u + 28 - 3599*u - 3595*u + 14380*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -0.083, 12, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43.33 times 3.97\nAnswer: -172.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1505 + -1502. Let c be (-1 - -5)*2\/(-164). What is the second biggest value in c, g, -3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -669 - 5*d + d - 19*d**3 - d + d - 2*d**2 + 667. Let f be l(-1). Solve -5*m - c = -0*c - f, -2*m + 6 = 2*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -338*h**3\/19 - 3016*h**2\/19 + 3542*h\/19 - 980\/19 = 0.\nAnswer: -10, 7\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + (-2220)\/(-50). Suppose 4*q + 4*a - v = -0*a, 2*a = 3*q - 58. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107712.7 millennia to decades.\nAnswer: 10771270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 6*d**2 + 4*d**2)*(-3 + 3 - d) + d**3 + d**3 + 7*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 10*z + 4. Let w be m(-18). Let n = w - 59. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*f**2*x**2 + 4*f**2 + 70*f*x - x**2 wrt x?\nAnswer: -684*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-40)\/(w*w**(-16)*w) assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*o + 2*o - 4 = 0, -2*o = 0. Let w be b + -3 + 3\/1. Let n(z) = -6*z**w - 10*z**2 + 4*z**2. Let h(c) = -c. Calculate h(n(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctct when four letters picked without replacement from {t: 3, v: 1, c: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 1. Let s be o(6). Let a be 0 - s - (-3 + 3). Solve -l**3 - 3*l**3 + l**2 - a*l**2 - 6*l**2 = 0 for l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 3, -2, -7, -12, -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370046653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:21 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512 divided by 3424?\nAnswer: 439\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**4 - 9*i - 780 wrt i.\nAnswer: -24*i**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6940 and 10219150?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42041 (base 6) to base 11\nAnswer: 4269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4033*j = -3*p + 4031*j, 2*p = -6*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(h**5 + 6 - 8*h**5 + 5*h**5).\nAnswer: -4*h**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*(3\/1)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 1. Let s(b) be the first derivative of -3*b + 2. Let a be (-3)\/((4\/2)\/(-2)). Let c(z) = a*k(z) + s(z). Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12501 - -12501. What is x in -4*x**2 + b - 2\/3*x**3 - 10\/3*x = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91785321.\nAnswer: 3, 71, 239, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 take away 587051.6?\nAnswer: -587049.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854669351.\nAnswer: 23, 37159537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l. Let h(g) = 377*g + 142 - 142. Let f(n) = 5*h(n) - 91*t(n). Let q(m) be the first derivative of -2*m**3\/3 + 1. Calculate q(f(r)).\nAnswer: -1352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - -152. Let z(q) = q - 140. Let w be z(0). Let o = j + w. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 24822*j**3 + 3*j**2 - 39*j + 6. Let f(v) = 342345025*v**3 + 41375*v**2 - 537875*v + 82750. Calculate -41375*a(z) + 3*f(z).\nAnswer: 24825*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k. Let w(c) = 22*c - 12*c - 3*c. Determine w(p(i)).\nAnswer: -105*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Is (2\/(-1) - -52) + g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 928.\nAnswer: 71456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-3)*(29\/232)\/(3\/216).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-4)\/(-10) + -72*15\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(3 - 4*j + 2*j - 2*j)*(-2*j**2 + 2*j**3 + 2*j**2).\nAnswer: 8*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*j - 2*j - 4911, 5*j = -5*k + 8175. Let b = j - 896. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(3)*1*-6.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 25*o**5\/7 - 162245*o**4\/7 + 129754*o**3\/7 + 168726*o**2\/7 - 77859*o\/7 - 8343 = 0.\nAnswer: -3\/5, 1, 6489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/451 and -26\/15?\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2885?\nAnswer: 8655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:00 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*v - 12, -3*l + 16 = -0*v + 4*v. Suppose -5*t + 4*w + 73 = 0, v*t + 3*w + w = 80. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 30*y**2 - 862*y - 11770. Give n(-13).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 362.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*y = -39, 89*y + 17 = n + 85*y for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3 = -3*k + 9, 0 = -5*c - k + 14. Suppose 0 = l - c*l + 16. Suppose -s + 7 = 3. Calculate the lowest common multiple of l and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22025404?\nAnswer: 2, 17, 323903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/216 and -47\/3672?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwawxgooggk. What is prob of sequence aoox?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 11*j + 1. Let m(h) = -h**3 - 7*h**2 + 10*h + 2. Let u(q) = -5*m(q) + 4*t(q). Let o = 19 + -23. Is u(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 462\/168 + (-2)\/(-8). Let v be 28\/(-7) - (r + 51\/(-7)). Put v, -2\/11, 0.09 in ascending order.\nAnswer: -2\/11, 0.09, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let z be -1 + (-6)\/((-2)\/1). Suppose 0 = a + 4*a - 3*d - 5, -1 = -a + z*d. Suppose -15 + a = -2*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 12*z - 11. Let i be h(-13). Let y(o) = 2*o**3 + 3*o**2 - 2*o + 2. What is the remainder when y(i) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52314522 (base 6) to base 5\nAnswer: -342044144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106609885 is divided by 2464?\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0\/2)\/2)\/(-2). Suppose 39*s + 704 = 1172. Solve -3*k + s = -z*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 17*t - 14. Let a(k) = -4*k**2 - 20*k + 19. Determine -4*a(i) - 5*u(i).\nAnswer: -4*i**2 - 5*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 522*l**4 + 12*l*p**3 + 47*p**3 - 4*p**2 + 11*p wrt l.\nAnswer: 2088*l**3 + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 662 + 106. Let x = c - -202. Which is greater: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 10*s + 4*q - 14, 0 = -2*s + 2*q - 10 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 442856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 208. Let c = -274 + g. Let z be 14\/c - (-49)\/136. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 13*w**2 + 12*w - 85. Calculate s(-12).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 3. Let v be g(-9). Suppose -u = -3*i + 17, -i - i + 2*u = -18. Solve -f + i*f = -v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1414 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -119*k + 42*k + 3*k**2 + 39*k + 41*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgyygccgyygcg. Give prob of picking 2 c and 2 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.55 - 44.75. Let s = r - -33. Let w = s - -14. What is the nearest to 0.2 in -1, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/12481 - -80231\/24962. What is the common denominator of 71\/15072 and o?\nAnswer: 105504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 891 and 754.\nAnswer: 671814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let c(b) be the third derivative of 0*b**3 + 5*b**2 + 0*b + 0*b**4 - 1\/60*b**5 + 0. Calculate p(c(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -48*c**3. Let n(u) = -u**3. Give 2*k(d) - 84*n(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y + 14*y - 33*y as z*y + l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17 = -4*v, -1 = 2*p - 2*v + 3. Suppose -j = f - 0*j, 35 = 4*f - p*j. Suppose 0 = -t - f, 4*q - t + 0*t - 85 = 0. Solve 0*d + 4*d + q = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4990 - 4960. What is the greatest common divisor of w and 2610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2260142850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -31*x**4\/24 + 5*x**2 + 412*x. Let c(a) = -3*a**2 - 6. What is c(n(o))?\nAnswer: -2883*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1418*o + 57. Let a(p) = 669295*p + 26885. Determine -3*a(r) + 1415*w(r).\nAnswer: -1415*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72088 (base 15) to base 11.\nAnswer: 227462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -26*a + 85723. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1993 and 847967689?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 56 = l, 5*w - 4*l + 9*l + 58 = 2*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h**3 + 168 - 355 + 181 + 5*h**2 - h**3 + h. What is t(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 16. Suppose h*v - 3*v = 5. Is -5*v\/(10\/4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 2. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:51 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1201?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n = -94*n - 39. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let s = 7 - 12. Let k be s\/20 - (-82)\/8. Let r(l) = -2*l - 10 + k. Give a(r(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.65 - -6.65. Which is the nearest to h? (a) 4 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/13 - 102152*t**3\/13 + 306438*t**2\/13 = 0.\nAnswer: 0, 3, 51073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 15*t**2 + 13*t. Let w be l(-14). Let j = 18 - w. Let d be (j\/10)\/((-2)\/(-40)). What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 29*z**2 + 29*z - 26. What is d(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b**2 - 12768*b - 8508.\nAnswer: -3*(b + 1418)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113979, -113971, -113961, -113949, -113935?\nAnswer: -113919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 11. Let k(t) = 9*t + 21. Let c(o) be the second derivative of 4*o**4\/3 - o**3\/2 - o**2 + o - 159. Let p be c(1). Calculate p*y(b) - 6*k(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(704) + -1)*-5 + sqrt(704) + 1*-1*sqrt(704)))**2 - (-5 + (-3 + (sqrt(704) - (-2*sqrt(704))**2 - sqrt(704)))*-4))*1.\nAnswer: -10000*sqrt(11) + 429354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 2*l**2 - 5*l - 6. Let k(n) = -2*n**3 + 3*n**2 - 5*n - 6. Let v be (-103)\/824 + (-46)\/16. What is v*o(j) + 2*k(j)?\nAnswer: 2*j**3 + 5*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:25 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 - c. Let i be v(-1). Let q = -1 - i. Suppose -6*k + 3*k - 2*x = 3, 5*x + 11 = -q*k. Calculate the highest common factor of k and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -99, -188, -313, -474, -671, -904?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 - 9*t - 4. Let j be m(-7). Suppose 6*s = s + j. Suppose s*o = -2*o + 64. Calculate the highest common divisor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 - u**4\/12 + u**3\/6 - u**2 + 10*u - 1. Calculate d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256544*4\nAnswer: -1026176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 1, b: 3}. What is prob of picking 1 m and 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {g: 7, b: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547, 2053, 4515, 7933, 12307, 17637, 23923?\nAnswer: 31165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 31. Let g = v - -1. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*j**5\/11 - 6504*j**4\/11 + 13498*j**3\/11 - 1704*j**2\/11 - 3672*j\/11 = 0 for j.\nAnswer: -17\/40, 0, 3\/4, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-5)*-2 - 32\/80. Solve 2*p - c = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32774.\nAnswer: 2, 7, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1218980, 1218987, 1218998, 1219013, 1219032, 1219055?\n\"Answer: 2*o**2 + o + 1218977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 1. Suppose 4*z + 3*k - 16 = 0, 3*z + 4 = 2*k - 1. Let t be p(z). Solve -3*l = -t + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23751, 95013, 213775, 380031, 593775, 855001, 1163703, 1519875?\n\"Answer: -h**3 + 23756*h**2 + h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -5 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25864 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, 41, -3 in decreasing order.\nAnswer: 41, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-13 - -3 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 16*z + 15. Determine w(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 3, 5.\nAnswer: -64, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 15 = 4*x. Solve s = x*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.005914, 1, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/j)**(-1\/29)\/(j**2)**(-2\/41))**28 assuming j is positive.\nAnswer: j**(8988\/1189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 360100099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.5 (c) -19\/15 (d) -0.01 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*a**3 + 2392*a**3 + 779*a**3.\nAnswer: 4364*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80 + (-7)\/((-7)\/(-2)) + -2. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.9 and -0.1.\nAnswer: 6.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44470*m**2 - 7*m - 3589 wrt m?\nAnswer: -88940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 at least -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19101?\nAnswer: 3, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 3 + 7 - 10. Suppose 0*p = 4*p - 8. Let j(g) = -2*g - p + 2. Give j(f(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421975.6 millilitres in litres?\nAnswer: 421.9756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9 and -68\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 - 6*v**2 + 15*v - 11. Let y(f) = -5*f**3 - 3*f**2 + 7*f - 5. Give -3*l(n) + 7*y(n).\nAnswer: -2*n**3 - 3*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x**2 + 4*x + 18. Is o(3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 36497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1. Let j(r) = 4*r - 4. Let i(f) = 5*d(f) - j(f). Let k be i(1). Sort k, 2, 8 in increasing order.\nAnswer: k, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -21*o**2 + 9*o - 9. Let d(w) = 5*w**2 - 2*w + 2. Let k = -43 - -34. Calculate k*d(z) - 2*a(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + -8 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/24 - j**3\/2 - 2*j**2. Let d be l(-3). Suppose 2*h - 5*h = d. Solve c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - s**2 + 190 - 4*s + 4*s.\nAnswer: -s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 594*i**2 - 1510*i + 4. What is d(151)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 + (-2)\/(-2))\/(3\/(-369)*30) and 35\/30*6\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**2 + 24*s**2 + s**3 + 9*s**5 + 27*s**2 + s**3 wrt s.\nAnswer: 540*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -2*k**3 - 113 - 12*k - 99\/4*k**2. Factor v(l).\nAnswer: -3*(l + 8)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*o + 2*w = 0, -6 = -3*o - 3*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 824*y**3 - 2*y**4 + 0*y**4 + 3 - 30*y - 826*y**3 to l*y**4 + t*y**3 + b + m*y**2 + a*y and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38c + -6?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*l - 1529 + 1592 = 0, -3*f - 27*l + 408 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -23. Let x be (0 - -2)*300\/a. Let z be (-70)\/x*12\/(-8). Calculate the greatest common factor of 49 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/7 + 82*z**3\/7 + 1034*z**2\/7 + 4518*z\/7 + 3564\/7 = 0. What is z?\nAnswer: -22, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a factor of 64339350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*h**3 + 10*h - 100 wrt h?\nAnswer: 48*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.963 from 0.051.\nAnswer: 3.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1519 - -145. Let u be 1786*((-16)\/152 - (-30)\/(-76)). Let w = u - c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b - 6. Let t(z) = 1 - z**2 + 3*z - b*z - 2*z. Let o(l) = l**2 - 6*l - 2. Let f be o(6). Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 760.2571141\nAnswer: -763.2571141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**4 - 6*z**4 + z**4)*(z - 10 - 2*z + 1).\nAnswer: 14*z**5 + 126*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, h: 6}. Give prob of picking 1 h and 3 k.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3404700 divided by 27.\nAnswer: -126100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1638)\/364 + (-3)\/((-90)\/(-111)) - -10) + 3.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*w + 707, 5*w - 2390 = 4*v + 386. Let y = v + 709. Solve -5*g = y*g - 12*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h**2 - 3. Let c(x) be the second derivative of -x**3\/3 - 51*x + 5. Determine m(c(v)).\nAnswer: -92*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(117) + sqrt(117) + -3 + sqrt(117))*-6 + sqrt(117))*6 - (4 + (-2*(sqrt(117) + 3) - sqrt(117)) + 2))**2.\nAnswer: -64746*sqrt(13) + 1158598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/6742 + -124637\/202260. Let s = -1339\/87540 - 2\/1459. Let v = l - s. Put -4, 5, v in decreasing order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9 plus 1162.159?\nAnswer: 1203.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {q: 1, o: 2, d: 1, g: 7, h: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 62*b - 14558. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 12:52 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/127, 4, 0.2, 1, 398, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36 + 34 - 2*h - 19 - 7*h. Is a(-9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, 1, -1, -9 in descending order.\nAnswer: 1, -1, -9, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41*-0.4\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236510.\nAnswer: 2, 5, 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98953246.6089102948 + 2145363.3989092848. Let o = 96807882 + u. Let v = -1.21 - o. What is v rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 + g. Let x be 4\/18 + 188\/(-36). Let o be p(x). Sort -4, -2, o in decreasing order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*h**3 - 10*h**3 - 32*h**3)*((-h - 3*h + 2*h)*(-3 - 1 + 3) + 2*h + 2*h - 5*h + (0*h - 2*h + 0*h)*(57 + 14 + 2)).\nAnswer: -4495*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675249847?\nAnswer: 25097, 66751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, 127600, 0 in descending order.\nAnswer: 127600, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -1\/7 (c) 7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + ((-792)\/60 + 13 - 9\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3899*n**2 + 1114*n - 1114. Let c(d) = -5*d**2 + 2*d - 2. Let x(b) = 1114*c(b) - 2*r(b). Let f(g) = g. Determine f(x(s)).\nAnswer: 2228*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:50 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*f + 62*f + 1780. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 3*n + 5*d, 4*n = 3*d + 19. Let f(u) = 4*u**2 + 14*u - 3. Let z be f(n). Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5 in ascending order.\nAnswer: -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = -7338 + 6474 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - w**2 + 4*w + (-6*w - w + 4*w)*(-2*w + w + 0*w) + 3*w**2 - 2*w**2 + w**2)*(1 - 2 - 2*w - 32).\nAnswer: -8*w**3 - 132*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -p + 3*m, 0 = -m + 1. Let n = 363.8 + 71.2. Let g = -436 + n. Put p, 0.4, 0.1, g in ascending order.\nAnswer: g, 0.1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 605 = 93*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + s)*(-2*s**2 + 2*s**2 + 3*s**3)*(s - 2*s - s + (1 - 8 + 0)*(-s - 5*s + 5*s)).\nAnswer: 15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 2, r: 1, k: 2, l: 6}. What is prob of sequence prl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 178*g**2. Let i be o(-1). Let f be i\/(-14) - (-18)\/(-63). Let a = f - -13. Solve 2*k = -a*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 927112029 to the power of 1\/3, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/25)\/(9\/(-30)). Let z(k) = 2 - 7 + r. Let j(u) = 4*u - 20. Let f(n) = j(n) + 20*z(n). Let g(l) = -l. What is -f(d) - 6*g(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4119, 12247, 25791, 44751, 69127, 98919, 134127?\nAnswer: 174751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -60155*s - 300708. Calculate k(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8656 - -5022.8620466.\nAnswer: -3633.1379534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 - 13*j**4\/12 + j**3\/6 + 7*j**2\/2 - 34*j. Let d be o(-13). List the prime factors of (-9)\/6*76\/d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 13. Let h = 16.057 + x. Let v = h - 0.036. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9336 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*m**5 + 11*m**4 - 26553*m**3 + 885*m**2 - 114*m - 54 wrt m.\nAnswer: -4440*m**2 + 264*m - 159318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781879*f**2 - 781879*f**2 - 1153*f**3 + 614*f**3.\nAnswer: -539*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52200.69mg to kilograms.\nAnswer: 0.05220069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680 minus -8303.039?\nAnswer: 12983.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/86881?\nAnswer: 2\/86881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/9 - 238*z**3\/9 + 416*z**2\/3 + 38440*z\/9 - 291200\/9 = 0. Calculate z.\nAnswer: -13, 10, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1229144 by 614572.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - o = -22, 3*o - 6 = 6. Solve -f = -3*c, 0*k - 5*c - 5 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13242232964 and 115.\nAnswer: 13242233079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.3076 centuries in months?\nAnswer: 96369.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and ((-2)\/(-1))\/(-10) + 1148\/140?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + -3?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 c when four letters picked without replacement from sctccsttttcgs.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 5. Suppose q*w = -0*w. Let j(a) = 4*a - 2*a + 1 + w - 3*a. Give j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.3803056 to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 142*t - 152*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4 + (-2 - 4 - 1)*(2 - 3 + 4))*(6 + 0 + 1)*(3*s - 4*s - s) to the form x*s + w and give x.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -63*j**3 + j**2 - j + 1. Let b be r(1). Let c = b + 393. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, 21, 76, 183, 360, 625?\n\"Answer: 3*i**3 - i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 + 2.4. Let k = 66 - 57.5. Let y = k - 9. Which is the nearest to f? (a) y (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)*r)\/((r\/r**24*r)\/r*r) assuming r is positive.\nAnswer: r**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 3*h**4 + (0*h + h + 0*h)*(h**2 - h**2 + h**3)*(-3 + 5 - 1).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-100)\/(-8)))\/((-21)\/((-315)\/10)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*x**2 + 12*x + 1?\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 + 44*l**2 + 439*l - 1054. Let g(t) = -4*t**3 - 44*t**2 - 440*t + 1052. Let n(f) = 3*a(f) + 2*g(f). Let n(j) = 0. What is j?\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 - 0 - (-1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1233425 and 128750.\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 0.35. What is the closest to 1\/2 in -3, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1, m: 2}. Give prob of picking 1 m and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 6 - 22) + (-12 - -2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15570, -15572, -15574, -15576, -15578, -15580?\nAnswer: -15582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k = 52*k - q - 23, 5*k = 2*q - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 12685?\nAnswer: 114165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101737693 to 6 dps.\nAnswer: 0.001017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 12. Suppose 187 = 5*z + k + a, 0 = -5*k - 25. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6559*f + 17227 = -793*f + 63355 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1059 = 4*w + 3*t, -3*w + 6*t - 7*t - 793 = 0. Let l = 277 + w. Let j(s) = -2*s - 7. Let o be j(-5). Solve o = 2*u + l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12363? (a) -0.2 (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -2 (c) 2\/3 (d) 0.1 (e) 415 (f) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (465 + 1291 - 228 + 100)*(9 + 2*k**2 - 9) as p + i*k**2 + y*k and give i.\nAnswer: 3256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*((-51)\/(-10) - 5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -159.7797 times -3.02\nAnswer: 482.534694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 342 = -27*i. What is the remainder when 53 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -16\/21*v**3 + 14 + 0*v - 19\/14*v**4 - 2\/5*v**5 + 4\/7*v**2. Determine p, given that z(p) = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 48 = n. Let d be -1 + 27\/n - -3. Put d, 5, -1\/3 in descending order.\nAnswer: 5, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18225\/81)\/(390\/26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1657*d**2 - 5. List the prime factors of n(-1).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (-137 - (3 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x**2 + 2*x + 8. Let j(m) = m**2 + 28*m - 284. Let l be j(-36). Is w(l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyysyyyssyyyyyhyyyy. Give prob of picking 2 s and 1 y.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21493582*y - 10746788*y - 10746794*y - 28*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263166.\nAnswer: 2, 3, 23, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -12861, 17 in descending order.\nAnswer: 17, 3, -1, -12861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 - 2716 = -4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2854, 2849, 2842, 2833, 2822, 2809?\nAnswer: 2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 287*w**2 - 2*w. Let n be p(1). Suppose 5*k + n = 5*a, -a + 0*a + 4*k + 51 = 0. Let y = a - 45. Solve 3*c + 2 = 5*j, 5*j = -2*c + c - y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.99 - -0.01. Let t = o + -2.99. Let f = 0.31 - t. Which is the second biggest value? (a) -0.1 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24632, 30745, 36860, 42977, 49096, 55217?\n\"Answer: u**2 + 6110*u + 18521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 147491720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 + 2. Let o be l(-7). Suppose -o*y + 2 = -2, -5*y = -j + 25. What is the remainder when j is divided by (55\/20)\/(-11) + (-98)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2211230 and -40\/17468717.\nAnswer: 174687170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/14)\/u*u)\/u)\/((u*(u*u*u\/(u*(u*u\/(u\/(u*u**12))*u)\/u*u*u))\/u*u)\/u*u)*(u*u*u**10)**(32\/3) assuming u is positive.\nAnswer: u**(1975\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 1. Let j be g(-1). What is the common denominator of -83\/4 and (147\/(-30) - -1) + j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -0.39. Suppose -2*u - 3 = -11. Suppose 0 = -2*f, 0 = 2*w - u*f + f + 2. Which is the nearest to -1\/4? (a) w (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37588 is divided by 9393.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4330786 times 0.4?\nAnswer: -1732314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Round 4.28320882 to three dps.\nAnswer: 4.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 1063, -1, 26583, 0.5?\nAnswer: 26583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.026.\nAnswer: 0.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 163*x**5\/60 - x**4\/24 - 526*x**2. Let a(f) = 3*f. Calculate g(a(p)).\nAnswer: 1467*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -152 (c) 2\/3 (d) 8 (e) -7 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**8\/1680 - i**7\/840 + i**4\/6 + 2*i**2. Let g(p) be the second derivative of d(p). Find the third derivative of g(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*n + 11105 - 933 = -27874 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-1)\/sqrt(12) - sqrt(2)) + 1.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i*m**2*w - 5*i*m**2 - 6434*i*w**2 + 9292*m**2*w**2 - 21*m wrt i.\nAnswer: -3*m**2*w - 5*m**2 - 6434*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -14*f - 244. Let y be j(-20). Solve 7*z - y = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56746295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 - 8*q**2 + 15*q = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -143*b**3 + b**2. Does 35 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) + 512\/12. Let t = -2605\/2 - -1261. Let b = v + t. Calculate the common denominator of -11\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 2*h - 17. Let n be x(4). Let p(t) = -t**3 + 6*t**2 + 8*t + 8. What is p(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 4337.\nAnswer: 330\/4337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u + 2*u + 8*u + (-5 + 5 + u)*(2 - 2 + 1) to the form c + w*u and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t + 2. Let o be u(-2). Sort o, -2, 5.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 2*g**2 - 5*g + 13. Let o be m(-4). Let k = -66 + o. Let j = k - -125. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/56 - 9\/2. Let k(s) = s**3 - 2*s**2. Let x(j) = -30*j**3 - 16*j**2 + 7*j. Let v(t) = i*k(t) + x(t). What is the third derivative of v(n) wrt n?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.03958323.\nAnswer: -1.96041677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 - 27 = 0. Let z(c) = -28*c + 14*c + f*c. Let l(d) be the third derivative of d**4\/4 + d**2 + 531*d. Calculate z(l(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1455519 - -2529619. What is k rounded to the nearest ten thousand?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -60, -4.\nAnswer: -60, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 8 - -3 - 506\/(-84). Let j(s) be the second derivative of 7*s - 16\/7*s**2 - d*s**4 + 0 - 8\/21*s**3. Determine r, given that j(r) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -134. Let r(l) = -l**3 - 3*l**2 + 15*l + 14. Let c be r(x). Calculate the greatest common factor of 256 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 10*k - 76 = 0. Suppose 0*l + 3*l - 35 = -4*c, 5*l - k*c = 37. Suppose l*o - o = 96. Solve -3*a + 6 = 2*j + j, -3*a + o = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75439095 - 53516095. What is b rounded to the nearest one hundred thousand?\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*((3 + sqrt(275))*-4)**2 - (sqrt(121) + 1*sqrt(121)*2)\/(sqrt(275) + sqrt(275) + sqrt(275)*2)).\nAnswer: 9597*sqrt(11)\/5 + 18176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/24*9 - (-2 - 3). Let x(a) = 8*a**3 - 103*a + 107*a + 6 - 4*a**k - 6*a**3. Let f(b) = -4*b**3 + 7*b**2 - 7*b - 11. Give 4*f(l) + 7*x(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + (-31 + -126 - -117).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2948 in 4, 1, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/553 and -133\/2844?\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -45) + (3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136.227 - 0.227. Let y = -354 + o. Let x = 218.000000314 + y. What is x rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10 - 3\/66*15. Let f = 573 - 572.5. Which is the second smallest value? (a) -3 (b) f (c) g (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4262 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*7\/(-56)*20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -3*t + 43, -3*t + h + 37 = 0. Suppose g + 4 = t. Is 4\/(-18) + 1073\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -7248b9c?\nAnswer: -7248b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smcmmmmsmctsmmtm. What is prob of sequence sccm?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x + 16. Suppose -2 = d - g - 1, -2*d - 2 = x*g. List the prime factors of (-1 - -62)*d\/(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2650.9 and 0.07938?\nAnswer: -210.428442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - s + 10, -2*b + 119*s - 4 = 115*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010001 (base 2) to base 4.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1126200 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 40*z**3 + 27*z**3 - 2*z + 14*z**3 as x*z + y*z**3 + f + w*z**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -476330 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine thirds of a century in months?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68a + -f?\nAnswer: 67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12 - f + 6 - 16. Let z be y(-1). What is the second derivative of 5*s - 3*s**3 + s**z - 4*s wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(1088) + -3)**2 + -1) - 6*(((sqrt(68)*3 - sqrt(68))*-1 + sqrt(68))**2 + -1).\nAnswer: -17842 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-3)*t**(-1)*t*t*((t*t*t**(4\/9))\/t)\/t*t*t*t*t**0)\/(t*t**(-3)*t\/t**(8\/3)*(t\/t**(-1)*t)\/(t*t**(-6)\/t)) assuming t is positive.\nAnswer: t**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043268 is divided by 22679.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*g = 30. Let p = 8 - 6. Calculate the remainder when g is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let w be 2\/(-9)*m\/(-2). Let o(j) = 2*j - 3. Let x be o(4). Which is the smallest value? (a) w (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306\/65 greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + 6 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/12)\/(((-3)\/35716)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*o - 16, -629*o + 2*a - 4 = -628*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -119*h. Let n(a) = 5*a. Give -2*k(z) - 49*n(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -107*j - 17. Let y be k(2). What is the remainder when 11\/(y\/(-3429)) + (-2)\/7 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9\/2, -0.2, -0.4 in descending order.\nAnswer: -0.2, -0.4, -2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 13*a - 32. Calculate the remainder when 45 is divided by i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7639459 to 3 decimal places.\nAnswer: -0.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 28*m**2 - 19*m + 84. Determine v(14).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4500*j + 4494*j - 10 = 170 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 - -194. Which is the third smallest value? (a) -0.035 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 - -3 - -7) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251*w**3 + 192*w**3 - 82*w + 145*w**3 + 20*w - w**2 wrt w.\nAnswer: 3528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3644 and 4212.1.\nAnswer: 4211.7356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b + 1. Let z(j) = -j**3 - 3*j**2 + 5*j + 3. Let n(k) = -k**2 - 8*k - 5. Let x be n(-7). What is x*z(f) - 5*h(f)?\nAnswer: -2*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 36\/15. Suppose 4 = 2*s - f - g*f, -2 = f. Let k be s*(-2)\/(-4)*-10. Solve -k*r = 2*p - 14, -r - 2*r - 3*p = -12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = -4*h, -y = -3*y - 8. Differentiate 2*n - h + n + 4 - 6*n with respect to n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (954 + 1667 - 568)*(-4*j**2 + 2*j**2 + j**2) + (0*j + 6*j - 5*j)*(-2*j + 3*j - 3*j) to the form b + y*j + c*j**2 and give c.\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 64 + 208 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddvqxxqqqxqvdqxd. What is prob of picking 3 q and 1 v?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2. Let j be o(1). Let i be (-1 - 2) + 4*6. What is the greatest common factor of i and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 - -530. Let o = -414.9999434 + m. What is o rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/21 - (-119)\/3. Suppose 7*l - 12*l - m = 0. Let j = 14 + l. Solve -x - j = 4*g, 0*g + 10 = -3*g + 2*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 48. Let l be d(0). Let h be 2\/(l\/(-8)*1\/(-3)). Let o be 2 - -2 - (h + 3). Round o to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2667, 100, 10 in descending order.\nAnswer: 100, 10, -2667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146325.\nAnswer: 3, 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - i - 21 = 0, 2*b + 5*i + 5 = b. Let j be (-2)\/10*2 - (-3490)\/b. Find the common denominator of j\/(-49)*(-8)\/30 and -80\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 112 = 0. Let a = 22 + w. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o**2 - 2*o - 1. Let x be 0\/(-2) - (-2 + 3). Let i be v(x). Suppose -72 = -6*n + 2*n. What is the highest common factor of n and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1546661 (base 7) to base 12.\nAnswer: -a37ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 5327 - 5327.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3380 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*l + 18 = 0, -5 = -5*l - 30. Sort b, -15, 2 in decreasing order.\nAnswer: 2, b, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16402349.\nAnswer: 71, 231019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(-24)*(-456)\/(-36) and -23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 11, 26, 0.5, 0.6, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*x + 2. What is the tens digit of (x\/(-3))\/((-2)\/(-234))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9)*h)**21 assuming h is positive.\nAnswer: h**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000074230706 to 7 decimal places.\nAnswer: -0.0000742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (-3 - -4)*-1. Let v = 2 + u. What are the prime factors of 44\/v - (-3)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526047995*s**6 - 3393*s**2 - s - 5059.\nAnswer: 63125759400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -7. Let u = -36 + z. What are the prime factors of 4\/10 - u\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -39. Let y be t\/84*68\/10. Let i = -4\/3 + y. Which is the nearest to i? (a) 1 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = j + a, 4*a = -2*j - 39 + 15. Let s(i) = i**3 + 5*i**2 - 9*i - 9. Let u be s(j). Let y(f) = 2*f**2 - 4 - 10*f - f**2 + u*f. Calculate y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/(l\/(l\/(l**(4\/7)*l))*l)*((l**4*l)\/l*l)\/(l*l**(1\/6)))\/(l**(-2\/11)\/l**(-2))**(3\/7) assuming l is positive.\nAnswer: l**(2995\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.453 (b) -2\/43 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2941 and 112423.35353.\nAnswer: 109482.35353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 491 + -421. Calculate the highest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23694728*j**5\/7 - 141273448*j**4\/7 - 255280938*j**3\/7 - 132374948*j**2\/7 + 5276570*j\/7 - 50700\/7 = 0. What is j?\nAnswer: -3, -2, -1, 65\/3442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6370, -12793, -19340, -26077, -33070, -40385, -48088?\nAnswer: -56245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695600 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - (-168)\/14) + (-616)\/56?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -64010164.\nAnswer: 6401016.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1, -140\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 37*l**2 - 8*l - 3. Let m(w) = 74*w**2 - 20*w - 7. Give 4*m(i) - 10*q(i).\nAnswer: -74*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55657, 55841, 56147, 56575, 57125?\n\"Answer: 61*r**2 + r + 55595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**14\/c*c**3\/c assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3168187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 - 315. Factor 3\/2*s**3 - 9\/2*s + k + 3*s**2.\nAnswer: 3*s*(s - 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/7 + 112337*w\/7 - 13607418\/7 = 0.\nAnswer: -112458, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -11 (d) 1\/16 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - 3*l - 10 = 0, 0 = -2*r + 2*l + 10. Let q be (r\/4)\/((-5)\/80). Let d = -12 - q. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 132, 447, 1066, 2091, 3624, 5767, 8622?\n\"Answer: 17*i**3 - i**2 - 3*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -483 (base 14) to base 12.\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603567148 divided by 62588?\nAnswer: 25621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((12*1\/8)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -12. Suppose -2213 = -o*x + 3517. Let y = x - 493. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34785 is divided by 223.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 - b - 6. Let r = 4 + -2. Let m = 25 + r. What is the remainder when m is divided by j(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 2*f, -g + 2 + 0 = 4*f. Is 13 a factor of (-13 - g)\/((-3)\/75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*t - 141*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/88*13\/(234\/(-48)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 164\/1489 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 - 4*i - 4. Let h be s(-4). Let v = -0.3266 - 0.0734. Put -2, v, h, 6 in decreasing order.\nAnswer: 6, v, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhehhhheherhh. Give prob of sequence hr.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122844737\/1988 + -432552\/7. Calculate the common denominator of -35\/18 and s.\nAnswer: 17892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*l. Suppose -5*u + l*u - 9 = 0. Let r(o) = 3*o**2 - 4*o - 4. What are the prime factors of r(u)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, z: 13}. What is prob of picking 3 v and 1 z?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 65 = 5*d, 5*h + 4*d = 109. Solve -3*x = -h + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 908, 3627, 8158, 14501?\nAnswer: 22656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**3 - 11*y**2 + 11*y + 11. Let m(v) = 2*v**3 - 2*v**2 + 2*v + 2. Suppose -2*l = l + 6. Give l*u(x) + 11*m(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1694, -2566, -3438, -4310, -5182, -6054?\n\"Answer: -872*t - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 53895257\/258 + -208896. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 4\/5 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-4 - (2 - 8)) + 972. Suppose 5*d - p = 10780 - f, 2*p + 6 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3054?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75317666.\nAnswer: 2, 37658833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*w - 5 = -2*s + 657*w, 5*w = 17*s - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/sqrt(7)*-4.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = -10. Suppose 5*u = m*n + 15, 9 = 2*u - 2*n - n. Solve u = 2*j - 3 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let r = m - -2. Let a = r - -3. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 39*k**2. Let g(u) = 97*u - 2. What is g(q(s))?\nAnswer: 3783*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39473 - 2842051\/72. Let u(p) be the third derivative of 0 + 30*p**2 - l*p**4 + 11\/36*p**3 + 0*p - 1\/360*p**5. Factor u(i).\nAnswer: -(i - 1)*(i + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 16*c - 8. Let v be b(4). Suppose -16*a + v*a = -32. Suppose -4*x = 33 - 1. Put -2, a, x in descending order.\nAnswer: a, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**2 - b**3 + 355 - 15*b**2 - 352 to k*b**2 + q*b**3 + a*b + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8844*h**2 + 3*h + 2.\nAnswer: -17688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 2 + 7*a + 4 - 6.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 109, 207, 301, 367, 381, 319?\n\"Answer: -4*t**3 + 34*t**2 + 4*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 + -1) - (590 + -558).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4 = -3*h + z, z = 4*h + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/11))**(-5\/14)*n*((n*n**16)\/n)\/n*n**25 assuming n is positive.\nAnswer: n**(6339\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What are the prime factors of 127867895?\nAnswer: 5, 61, 73, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89597034 is divided by 89597018?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 4. Let a be v(-11). Suppose t + a = 6*t. Let b(x) = x - 3. Let h be b(5). Solve -h*r + t = 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 + 3*h - 1. What is q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15aa (base 13) to base 6\nAnswer: -22422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8536914 divided by -18\nAnswer: -474273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 1. Let o be a(0). Calculate the remainder when 37 is divided by (-2 + o)*-13 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 2*u. Let l = 32 + -20. Let q be 56\/l + 1\/3*1. Determine d(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxwxxw. Give prob of sequence xmwx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 greater than 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163254 is divided by 678.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 16. Let o(n) be the first derivative of 4*n**3\/3 + 3719. Give o(w(a)).\nAnswer: 16*a**2 + 256*a + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:26 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079, 2225, 3375, 4529, 5687?\nAnswer: 6849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.534 - -59.6. Let l = b + -0.016. Let t = l - 1.0423. Round t to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, 37, 2\/13, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4*n - 1 + 9)*(-n + 3 - 3) + 2*n - 2*n**2 - 2*n - 2*n - 2*n**2 + 2*n + (0*n - 2*n + n)*(2*n - n - 3*n) + 1 - n**2 - 1.\nAnswer: -7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 11 - 7. Let d = 39 + o. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583911 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1780 and 22072.\nAnswer: 110360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/28 and -115\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 761*r**3 + 14*r**2 + 8*r - 3024. Let t(j) = -762*j**3 - 12*j**2 - 7*j + 3031. Let l(n) = 6*g(n) + 7*t(n). Find the first derivative of l(m) wrt m.\nAnswer: -2304*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.2. Let q = 51 + -68.4. Let u = q - -17.5. Which is the nearest to u? (a) 3 (b) 6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.2, -47, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -35. Let z(q) = -q**2 + 6*q + 4. Let g be z(-4). List the prime factors of (-1*i)\/(3\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -396*h + 22172. What is k(56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 1 = 5*f + o, 3*o = -9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54704 by -27352.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 160328165 + 308.8\nAnswer: 160328473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000848208088 to six dps.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((3 - 3) + 1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2373507?\nAnswer: 3, 263723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -12*a**3\/5 + 376*a**2\/5 + 4796*a\/5 - 328 = 0.\nAnswer: -10, 1\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 l when four letters picked without replacement from {f: 1, y: 2, i: 1, l: 3, w: 3, o: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77262.37 millennia?\nAnswer: 7726237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 15. Let z be c(9). Let a = 3 + z. Let u(w) = w + 5. Let k(t) = -t - 2. Let j(l) = 3*k(l) + u(l). What is j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862790\/42 - (-16)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n - 4. Let h be z(-3). Let y(p) = p**2. Let t be y(h). Which is the second smallest value? (a) t (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:27 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22133031 - 311?\nAnswer: 22132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.339 - 0.359. Let p = -0.05 - 1.95. Let q = p + 1. Which is the second biggest value? (a) 0 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxxrxxffrlrx. Give prob of sequence xfl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 134069*a**3 - 44679*a**3 + 4*a**2 - 44695*a**3 - 44683*a**3.\nAnswer: 12*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/66 and (7 - 1) + -3 + 235\/(-40)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/720*r**6 + 0 + 0*r**2 - 1\/120*r**5 + 17*r - 1\/3*r**4 + 0*r**3. Let l(v) be the third derivative of y(v). Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 7 = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 8. Let a be (i + -2)*(0 - -1). Let j be 2*((-1)\/2 - 1) + a. Let r(k) = k**3 + 2*k**2 - 4*k - 1. Calculate r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/7, 13, -5, -327\/5, 0.11, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1)*(1 - (-4422)\/(-4410)). Let x = w + 4661\/735. Let a = 35\/246 - 1426\/369. Calculate the common denominator of x and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-182)\/(-1) + -2*2\/1?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9025, -8478, -7929, -7378, -6825, -6270, -5713?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(2\/93)*(j\/(j\/j**(-1)))**(5\/8))\/((j*j**(-1\/2)*j*j)**7\/(j*j**(-3\/11)*j*j**(3\/7))) assuming j is positive.\nAnswer: j**(-915149\/57288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -23\nAnswer: -48\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24920?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16804.98ml to litres.\nAnswer: 16.80498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 334*a - 2 + 15)*(25 - 25 - 10*a).\nAnswer: -3340*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**25\/x)**44 assuming x is positive.\nAnswer: x**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {l: 1, c: 2, r: 1, q: 3, f: 3, j: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - s**2 + 0*s**4 + 0*s**4 - 2*s**4 + 2 - 3*s + 2*s**2 + 2*s**3 to f*s**3 + o + i*s**2 + h*s**4 + m*s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*y + 5 = 0, -52*r - 9 = -55*r + 3*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 116375.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1248886423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**2 + 9*j - 5. Let m(x) = 3*x**2 - x + 1. What is 2*h(l) + 10*m(l)?\nAnswer: 14*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-4))\/s)**29\/(s**(-4))**(1\/17))**33 assuming s is positive.\nAnswer: s**(-64944\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4137*v**4 + 1918*v.\nAnswer: 49644*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {a: 2, e: 1, w: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -44\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(287\/70) + 18 - 1*8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. Let b = -4 + r. Factor 11*w - 4 - 3 + 3 + 12*w**b + 6.\nAnswer: (3*w + 2)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u - 1. Let z be b(-11). What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.4 and -15.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/30 - n**2\/2 - 2*n. Let y(x) be the first derivative of g(x). Let u(s) = 2*s. Determine u(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2226 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -17 - 25. Suppose -j + 3*x + 2 + 2 = 0, 3*x - 26 = -p*j. What is the least common multiple of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2392 and 516810.\nAnswer: 26874120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 - 974*a**3\/9 - 646*a**2\/3 + 974*a\/9 + 1940\/9 = 0. What is a?\nAnswer: -485, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 19488?\nAnswer: 97440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -7\/276 (c) -2 (d) 8\/3 (e) -1\/4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8061*b**2*g**3 + 3190*b*g**3 - 6*b*g wrt b.\nAnswer: 16122*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.59825304 rounded to 2 decimal places?\nAnswer: 67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millimeter in micrometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in 140, -1, 0.2, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6019108 + 3863798. Let s = -3744690 + z. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Suppose a + 3*w - 453 = -115, -3*a + 5*w + 1056 = 0. Find the second derivative of a*j + 8*j**4 - 346*j + n*j**4 wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 39*z + 85. Let n be s(36). Let p(v) = 437*v**2 + 23*v. Let t(y) = -97*y**2 - 5*y. Calculate n*t(u) - 5*p(u).\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 145\/11. Let j = 143 + -143.4. Which is the nearest to -3? (a) j (b) h (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30216736 (base 9) in base 3?\nAnswer: -1000020120211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82939651.\nAnswer: 17, 79, 61757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 58 = 3*q, -4*z + z = 5*q - 49. Let y = -1 - -6. Calculate the remainder when z is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77 and 32.23653.\nAnswer: -44.76347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241144*c**3 - 241144*c**3 + c**4 - 233*c + (c**4 + 0*c**4 + 0*c**4)*(0 + 4 - 2) to the form q*c**2 + x*c + m*c**4 + d*c**3 + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262.1 - 262. Let p be (-2)\/(-4)*(-9)\/(-6). Which is the second smallest value? (a) -7 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}