diff --git "a/data/dm_maths/full_data_1/11102_11255.jsonl" "b/data/dm_maths/full_data_1/11102_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11102_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Four letters picked without replacement from {r: 1, j: 12}. What is prob of sequence jrjr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*o - 257*o + 185220 = 0. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 7*l + 13. Let p be f(-6). Suppose 6 = -5*j + p*j. Let k be -1 + 6 + -2 + 1. Solve 0 = 3*r - 4*w - j - k, -2 = 3*r + 5*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from llyyilgl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -43 and 396 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334\/3 - 112. Suppose 0 = -q + i + 4, -q + 4*q - 10 = 5*i. Which is the nearest to 2? (a) -2\/7 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 29725*o\/3 - 317408 = 0. What is o?\nAnswer: -32, 29757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15035101540 rounded to the nearest 1000000?\nAnswer: 15035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*y - 1 + 1 + 0.\nAnswer: 349*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l)\/(l*l*l*l*(l*l**(1\/2))\/l)*(l\/l**(-2)*l)**(-10\/3)*((l**4)**47)**(2\/7) assuming l is positive.\nAnswer: l**(1843\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 30 = 3*a. Let q(m) = 79*m - 34*m - 1 - 9*m. What is the remainder when q(1) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 8*r + 6. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 144, 304, 524, 804, 1144, 1544?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7222*a + 821*a + 2519*a - 1876*a to the form l + h*a and give h.\nAnswer: 8686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a factor of 238545322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7235971.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1427805 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/24 + q**3\/6 - 58*q**2 - 2. Let r(w) = 0 + 12 - 3 - w - 7 - 7. Determine 2*m(k) - r(k).\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 9*f + 8. Let v be c(7). Let d = v - -128. What is the second derivative of -557*x**2 - d*x - 3*x + 527*x**2 wrt x?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, 1 a, and 1 d when four letters picked without replacement from vdvvmgagvgvvvdg?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 156211.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-14))\/(10\/(-70)). Let a = d + -3. Calculate the common denominator of (1 - (-249)\/(-6)) + a and 31\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91451.\nAnswer: 109, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 (base 6) in base 9?\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110110110011011000010 (base 2) to base 4\nAnswer: -12312123002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 13*p - 18. Let o be u(-12). Let z be (27\/(-6))\/(1\/o). Which is smaller: z or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q - 3*t - 52, 0 = -2*q - 5*t. Let r be -18*(-5)\/q - 1. What is the greatest common factor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:17 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + -9 - 8\/(-20) and (20\/(-70))\/((-1344)\/13818)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3092\/5 + -618. Which is the second biggest value? (a) 2 (b) -14 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 11*g + 33. Calculate the remainder when 78 is divided by o(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 27\/6)*(-2)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276, 4456, 9676, 16936, 26236?\nAnswer: 37576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 15 - 27. Let c(i) = -i**2 + 9*i - 8. Let o be c(a). What is the tens digit of 41 + -1 - (o - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 + 10*m + 14. Let p(i) = i**2 + i - 1. Let b(j) = -h(j) + p(j). Is 2 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let v(c) = 6*c - 7. Let o(y) = -3*f(y) + v(y). Let m(z) = 0 + 2*z - 2 - 3. What is -7*m(x) + 5*o(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430428 is divided by 715201.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-78)*(14 + 12). Let x(n) be the second derivative of 0*n**2 + 4\/3*n**h + 0 + 0*n**3 + 2\/5*n**5 + 13*n. Find the third derivative of x(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4629156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279575.\nAnswer: 5, 91183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 151*n**2 - 23733*n + 23739. Determine d(1).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294162 + 52949003\/180. Calculate the common denominator of -69\/44 and t.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 109 - 2*p + 15 + 34.\nAnswer: -2*p + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y*y\/y**(-3\/2))\/((y**(4\/7)\/y)\/(y\/(y*(y\/((y\/(y\/(y\/y**4)))\/y*y))\/y))) assuming y is positive.\nAnswer: y**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 118\/3 - (-2)\/3. Let f = -13412\/3 + 4431. Let s = f + a. What is the nearest to 0.1 in -5, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/3 (c) 13 (d) -2 (e) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 5*b - 2. Let l = 3 + 3. Let k(g) = 2*g**2 - 3 - 3*g**2 + 3. Let u(x) = l*k(x) - d(x). Determine u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5713\/1218 + 1\/7. Let u = g - 215\/42. Let f be (-2)\/(-3)*(-18)\/498. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/12 and -65\/1824.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 6:27 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + (-30)\/(-44). Let p be ((1 - 2) + -3 + 4)*1. Suppose -8*w + 5*w - 3 = p. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wobywwwywojwyooa. Give prob of picking 1 w and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201 or -235?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - 39. Let d = h + 96. Which is the closest to 0.1? (a) -1 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18144 = 70*i - 39*i + 25*i. Calculate the highest common factor of i and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:18 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.753 rounded to two dps?\nAnswer: 21.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99055084.\nAnswer: 2, 337, 73483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*a**2 + 44*a**2 - 410*a**2)*(5 + 1 - 2).\nAnswer: -1140*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -33*w - 3. Let p be n(-3). Let c be (p\/9)\/(1\/(-37500)). Round c to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15707226*f**2 - 1268192*f?\nAnswer: -31414452","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 292, 591, 890?\n\"Answer: 299*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*n - 1, -7856*m - n - 3 = -7853*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6452, -26037, -58678, -104375?\nAnswer: -163128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/41325 and -37\/290.\nAnswer: 82650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 6*o = -195. Find the first derivative of -o + 45 + 4*i + 30 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1797, -3590, -5383, -7176, -8969, -10762?\n\"Answer: -1793*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjvj. What is prob of sequence vjv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((4\/(-52))\/(714\/91 + -8)). Sort 2, x, -11, 424 in descending order.\nAnswer: 424, 2, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -75\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4441.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2\/g)\/g)**(4\/7)\/(g**(-15)*(g**(2\/39)\/g)\/g) assuming g is positive.\nAnswer: g**(4783\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348636394 to the nearest integer?\nAnswer: 18672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 382498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3 + 12. Let w(g) = -2*g**3 + 42*g**2 + 3*g - 63. Let k = 634 - 613. Let z be w(k). Which is the third biggest value? (a) t (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235 divided by -15.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 v when four letters picked without replacement from votoooovvvo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 - 192. What is the third derivative of -642*i**3 - 124*i**2 - 5*i + 5*i + 521*i**c wrt i?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*k + 12, -4*x - 4*k = k - 36. Find f such that 219*f**3 - 113*f**3 + 124*f**x - 26*f**3 - 12*f**2 + 32*f**5 = 0.\nAnswer: -3, -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9905, -19806, -29707?\n\"Answer: -9901*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -304, -257, -170, -31, 172, 451?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1402?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvu when three letters picked without replacement from {u: 17, v: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -5 (c) 203 (d) -6 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 501497, 1003004, 1504513, 2006024?\n\"Answer: t**2 + 501504*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(6292)*2) + sqrt(52))\/sqrt(4).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:43 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5*(-27875)\/50. Put q, 0.3, 0 in ascending order.\nAnswer: q, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60742 and 44.\nAnswer: 121484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpjjjbebyecpjyj. Give prob of sequence pb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429350256 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 80202*a - 20. Let h(c) = -4*c - 66. Let q be h(-19). Let t be i(q). Round t to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4361, 1, 4, -0.75?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34206 = -1946*q + 41080 + 3671 + 28073 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -3*n + 45 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aahhaaaahuhaaaakaka?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19200 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.645 - -103.\nAnswer: 95.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -95. Suppose v*o + x - 2443 = 0, -717 = -5*o - 3*x + 2335. What are the prime factors of o?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + w - 8, 0 = -a + 8*w - 10*w - 2. What is the second smallest value in 4\/7, a, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 1305 + 1300 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99362152.\nAnswer: 2, 12420269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 57*k**2 + 15*k - 213. Let m(a) = 91*a**2 + 22*a - 321. Let n(h) = -5*m(h) + 8*z(h). Give n(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 2*z + 1. Let g be a(2). Let f = 4 + g. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1498 + 1499. Which is the smallest value? (a) 0.2 (b) 2 (c) f (d) -5 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5262, -10496, -15760, -21060, -26402, -31792?\nAnswer: -37236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14836, 32535, 53106, 76549, 102864, 132051, 164110?\nAnswer: 199041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 56048, -1 in ascending order.\nAnswer: -6, -1, 56048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -267382 (base 9) in base 15?\nAnswer: -333de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368816 times -0.294?\nAnswer: -108431.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a1518a9a + -2?\nAnswer: 1a1518a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/3 + 143*g**4\/3 - 822*g**3 + 12290*g**2\/3 - 17759*g\/3 + 2597 = 0.\nAnswer: -159, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125463 or -125455?\nAnswer: -125455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 14*1\/(-2). Let o be (5 - 7)\/((-2)\/w). Suppose 2*b - 9 = 3*k, -5*b + 11 + 9 = -o*k. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-2 - (-3)\/6). Let z = 32 + j. Let u = z + -9. Solve -4*r + r = -2*b + u, b = r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126b76 (base 12) in base 10?\nAnswer: 3288330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 34*s**2 - 10*s - 7. What is the lowest common multiple of 4 and r(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 551645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 13 + 18 + -38?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**8\/504 - 2*p**7\/35 - 2*p**6\/15 + 49*p**5\/45 - 19*p**4\/12 - 5*p**2 - p + 19. Determine w so that x(w) = 0.\nAnswer: -3, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3093908 and 9281720\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2268? (a) 4 (b) 0.4 (c) -2\/7 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-6)\/2 - 2). Let a be -2 + (-39)\/(h + -6). Let m(c) = c**3 + 2*c**2 - 2*c. Let p(r) = -5*r**3 - 11*r**2 + 11*r. What is a*m(f) + 2*p(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -284 (b) 10\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*i**4*w**2 + 4*i**3*w**2 + 93*i**2*w**2 - 6*i**2 - i*w**2 wrt i?\nAnswer: -7152*i*w**2 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44381740 by 26.\nAnswer: -1706990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26554*g + 4743 = 26275*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(3) + -1 + (sqrt(27) + -5*sqrt(81)\/sqrt(3) - sqrt(27))**2 + 0 + -3.\nAnswer: sqrt(3) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3 + 818*r + 3 - 819*r. Let w(y) = -115*y. Give t(w(p)).\nAnswer: 115*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003857 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10883 - 4*u**2 + 960*u - 27513 - 19204.\nAnswer: -4*(u - 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 16 = 4*a, 4*a - 3*w = -43883 + 43879 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/3 - 37\/15. What is the nearest to -1\/4 in 0, g, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 2*y - 26. Let q = 91 - 81. Calculate the lowest common multiple of q and s(6).\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 426*l + 240*l - 72*l + 268*l + 362 - 116*l wrt l?\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppunsrpnnnpurprrspsu. Give prob of picking 1 s, 1 n, and 2 u.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -12222131?\nAnswer: -12222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 158?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 30. Let m(h) = 305*h. What is c(m(o))?\nAnswer: -279075*o**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, z: 12}. Give prob of picking 1 p and 2 z.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/7380 and -123\/220?\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbcbbcbbbbcbcbbbb?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26763.44 microseconds to milliseconds.\nAnswer: 26.76344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:53 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 133 + 130 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20*(-4 + 27\/6) and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4608\/66 - (-2)\/11. Suppose 3*a = y - 16. Is (a\/(-4))\/(3\/(-4)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/(25\/60*(-54)\/90).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {t: 2, d: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 65?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + c - 9507, n - c = 4989 + 4528. Let h = n - 57197\/6. Calculate the common denominator of h and -1\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3 + 0*o**2 - 2 + 3*o**2 in the form v*o**2 + p + l*o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x\/(x**(-8)\/x))**(-2\/47)\/(x**(-2\/15)\/x**(-14))**(3\/8) assuming x is positive.\nAnswer: x**(-1402\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -201 (c) -0.4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0525377 decades to months.\nAnswer: 6.304524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -805*v + 41057. Determine i(51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-148)*2\/(-15). Let b = l + -53\/74. Find the common denominator of 1 - ((504\/20)\/(-3))\/(-4) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**2 - 16*q - 5. Let m be r(10). Find x such that 3*x**4 + 2*x**4 + 6*x**3 + 3 - 8*x**4 - 6*x + 0*x**m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*((-42)\/490)\/(7\/49).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65244 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 + 3*c**2 - 6 - 21*c**2 + 3*c**2 + 7*c**3. Let h(a) = 6*a**3 - 6*a**2 - 5. Give 6*h(k) - 5*x(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 3*b - 1. Determine q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/((-2117)\/522)*1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1099, -1106, -1113, -1120, -1127?\n\"Answer: -7*l - 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*q + 604*q - 138*q + 471*q + 338*q as d*q + v and give d.\nAnswer: 1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((40\/(-25))\/((228\/180)\/(-19))).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**5\/7 - 46*q**4 + 54*q**3\/7 + 46*q**2 - 64*q\/7 = 0?\nAnswer: -1, 0, 1\/5, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67080.\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w + 51*w = -5. Sort 4, -4, w in ascending order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1103465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 17*b**7\/5040 - 3*b**6\/80 + 17*b**5\/60 - 12*b**2. Let t(k) be the third derivative of r(k). Differentiate t(w) wrt w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 232618.4 centuries?\nAnswer: 23261.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -11*n**4\/12 + 76*n - 43. Let l(p) = -6*p**2 - 5*p. Let j(h) = 3*h**2 + 2*h. Let m(g) = 5*j(g) + 2*l(g). Give m(q(v)).\nAnswer: 363*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-882)\/84)\/((-2)\/(-8) + -1). Calculate the highest common factor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55561.6322+463\nAnswer: -55098.6322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -2*g**3\/3 - 7*g**2\/2 + 373*g. Let w(x) = x - 1. What is -l(b) - w(b)?\nAnswer: 3*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = -2*p, 0*p + 9 = 3*p + 3*z. Let d(t) = t**2 + 9*t + 12. Let y be d(-8). Solve -5*b - 8 = -p*l - 4*b, 2*b = -4*l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(16\/3)*8\/6. Solve 16 = -4*t - h*i, 0 = t + 5*i - i + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:40 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttv when three letters picked without replacement from ttpjv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 352*m**2 - 2470*m - 4. What is l(7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10529, -21165, -31801, -42437, -53073, -63709?\n\"Answer: -10636*s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 23 = -30. List the prime factors of (13167\/(-114))\/(f\/2).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255028.\nAnswer: 2, 103, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178 divided by -55627?\nAnswer: 1178\/55627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 695\/2*448\/80. Let l = o + -1090. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 45*x + 84*x**2 + 61*x - 37*x + 15*x**3. Let p(y) = -3*y**3 - 17*y**2 - 14*y. Let h(k) = -5*j(k) - 24*p(k). Factor h(t).\nAnswer: -3*t*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let q = -8 + 8.05. Let u = q + -5.05. What is the second smallest value in u, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291630.118 rounded to the nearest ten?\nAnswer: 291630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/48)\/(-1)*(-3)\/(-5)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2943\/5 - -587. What is the nearest to 1\/2 in z, -3, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*m*t**5 - 2*k*m*t**3 - k*m*t + 30*k*t**2 + 4*m*t + 2*m + 4 wrt t?\nAnswer: 20*k*m*t**3 - 12*k*m*t + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-4 - -2))*-3. Suppose 52 = b*g - g. Suppose -30*z = -g*z - 316. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 2*p. Let a be c(2). What is the first derivative of 2 - 3*u**4 - 10*u**4 + 8*u**a wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*l = 167*l. Suppose 5*z - 5611 = -l*z + r, -5*r = -20. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1379 times -4674\nAnswer: -6445446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pem. Give prob of sequence me.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:55 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*n - 9*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30512752 - 34?\nAnswer: 30512718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6478 is divided by 720?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 27093*j + 618. What are the prime factors of s(1)?\nAnswer: 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -292.\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63.06 in 3, -2\/5, 1\/7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 3. Let r(n) = -n - 1. Let d(m) = 3*r(m) + v(m). What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let t(c) = 107 + c**2 - 107. Calculate t(i(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -15, 4, 0.048, 2, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68289 and 1641588.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r - 17 = 0. Let w be (-15)\/2*16\/(-20). What is the remainder when r is divided by w\/21 + (-40)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 900, 890, 874, 852, 824?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11621 - -697267\/60. Let z(v) be the third derivative of 5\/2*v**3 - k*v**5 + 0 + 0*v**4 + 0*v - 8*v**2. What is the first derivative of z(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 316.179 - 316. Round a to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.862789ml in litres?\nAnswer: 0.000862789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 51*g - 73. What is v(5)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, 252, 560, 992?\n\"Answer: 62*h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 8, -5, 16, -1, -2 in decreasing order.\nAnswer: 16, 8, 2, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -51318*c + 2104156. Calculate o(41).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)\/q)\/q**(1\/3)*q**(-4\/3)\/(q*q**(-2\/17)*q) assuming q is positive.\nAnswer: q**(-764\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040081 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/5*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 4*p**2 - 2 + 2. Let s(j) = j**3 + 3*j**2 - 5*j + 3. Let y be s(-4). Let i = y - 8. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -25*l - 2*l**2 + 12*l + 13*l. Let o(j) = -9*j. Determine o(d(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.9\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - b - 3 = 9, 0 = -b. Suppose -2*d - 4*p + 36 = -0*p, -5*p - 7 = -s*d. What is the remainder when 117 is divided by -20*((-6)\/(-9) - d\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51385238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Let a be ((-45)\/b)\/((-3)\/2). Let k(o) = -o**2 + 7*o - 4. Let v be k(a). Solve -3*s = 3*n - 9, -4*s + 7 + 5 = -v*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/((-275)\/(-10)) - (-136)\/10. Suppose d*i - 308 = 3*i. Is 48177\/7 + (-3 - (-100)\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w + 4. Let r(u) = -2*u - 9. Let z be r(-6). Suppose 5*p = -5, 3*o - 2*o - 8 = z*p. List the prime factors of t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -22. Let z = w + -6. What is the derivative of 1 - 3*s**2 + s**z + 3*s**2 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 y when three letters picked without replacement from xpexpxnuynpyny?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 18*q - 98. Calculate n(11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*n - 27300010, -3*c - 4*n + 2137660 = -14242348. Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 8*i - 1\/27*i**4 - 1\/189*i**7 + 0*i**2 + 1\/27*i**3 + 0 + 0*i**5 + 2\/135*i**6. Factor m(k).\nAnswer: -2*k*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 682521353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -19*w - 110. Let y be d(-6). Suppose -349 = -y*g + 2*u + 653, 5*g = 4*u + 1251. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g + 5*a + 12 = 0, 2*a = 2*g - 24. Suppose -g*k + 13*k = 3. Solve -z + 2 = k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 58 = -3*r + 13*q, -5*q - 14 = r. Let t(j) = 3*j**2 + 4*j + 19. What are the prime factors of t(r)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84803342 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -566*x**3 + 4*x**2 + 5. Let i(p) = -3961*p**3 + 29*p**2 + 36. Determine -6*i(g) + 43*s(g).\nAnswer: -572*g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l**2 + 4368*l + 75247. Give g(-16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 + t. Let s(d) = 58*d**3 - 9*d**2 + 12*d - 2. Let x(w) = -9*w**3 + w**2 - w. Let q(v) = s(v) + 6*x(v). Give -6*g(i) + q(i).\nAnswer: -2*i**3 + 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (10 - 10 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10935 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 155*p**2 - 280*p + 1. Is y(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367997214.\nAnswer: 2, 3, 13, 4717913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -248*h**2 - 179799 - 179798 + 359597. Let c(v) = 12*v. Determine x(c(q)).\nAnswer: -35712*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14507*j + 653261 + 101103 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.6, -3, -1\/5, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkffkfffk. What is prob of sequence kkkk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -39*h**2 - 15*h. Let k(z) = 10*z**2 + 4*z. What is 5*i(j) + 21*k(j)?\nAnswer: 15*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 0*u - 767 - 4*u.\nAnswer: -2*u - 767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let a be (-1 + -14)*((-2)\/(-3))\/(-2). Let 15*k**3 - 5 + n + 0 - 3*k**2 + 9*k**4 - a - 15*k = 0. What is k?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -236*l**2 + 175*l - 16. What is f(1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*t - 119*t = 3078 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from eelwlpprrwprl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.54 and -1433.5?\nAnswer: 1429.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g - 70. Let x be c(7). Let d(k) = 5 - 28*k + 5*k + 9*k - k**3 + x*k**2 + 8*k. What is d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7793 = 4*j, 3*j + 2*t + 1709 - 7575 = 0. What is the least common multiple of 6 and ((15\/6)\/(-5))\/((-8)\/j)?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-3*sqrt(3)))\/(sqrt(392)*-1).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 13. Let w be h\/(-3)*(4 - 1). Let p be ((-21)\/(-20))\/(6*(-10)\/(-160)). Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h**3 - 12*h**2 - 42*h + 12. Let j(r) = -8*r**3 + 5*r**2 + 17*r - 5. Let t(n) = 12*j(n) + 5*y(n). Find the second derivative of t(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1111100010010101?\nAnswer: 1111100010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:11 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-147 - -131) + 142.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5935600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18061*w - 18044*w - 187 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b - -14?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 124?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 12*i + 16. Suppose 5*b = 4*l - 68, -i*l - l + 85 = 5*b. Let r = -37 + 54. Is l equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Find the common denominator of w - (-5)\/((-150)\/635) and -3\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**8\/8 + 13*c**5\/5 - 23*c**4\/6 - 3*c**2 + 302*c. Find the third derivative of n(r) wrt r.\nAnswer: -840*r**3 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:28 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Suppose -10 = -164*z + 169*z. Let u be (44\/b + z)*858750\/9. Round u to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286203 divided by -95401\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164.6 - -162.6. What is the closest to 4 in q, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-12)*q)\/((q*q\/(q**0\/q))\/q) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818150 divided by 664.\nAnswer: -409075\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddddddddfdd.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -15*u + 140. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1376220*g**2 + 6214*g - 24.\nAnswer: 2752440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbwb when four letters picked without replacement from {y: 2, q: 2, z: 1, b: 4, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -700, -653, -604, -553, -500?\n\"Answer: s**2 + 44*s - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1147, 2267, 3399, 4549, 5723, 6927?\n\"Answer: o**3 + 1113*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43923 is divided by 152?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/5 of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -86*c - 1722. Determine s(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**5\/5 + 24*h**4 + 199*h**3 + 252*h**2 - 2526. Factor r(j).\nAnswer: 3*j*(j + 1)*(j + 7)*(j + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 16*n**2 + 24*n - 6723*n**3 + 3367*n**3 + 3358*n**3 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - 12\/(-10). Suppose 0 = 4*k, 0 = -n - 4*k - 5 - g. Let d(b) = b + 8. Calculate d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -121, -181, -243, -307, -373, -441, -511?\n\"Answer: -z**2 - 57*z - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010000000100111 - 1001001?\nAnswer: 1100001111111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + 2*l)*(-3 - 8 - 7)*(l + 2*l - 2*l).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 46*k + 202. Is 34 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 40 (c) 184655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 62\/353355 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3124866 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhhchxhc. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16712, 33428, 50150, 66878, 83612, 100352?\n\"Answer: 3*q**2 + 16707*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -4, 0.3, -823 in ascending order.\nAnswer: -823, -4, -1, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4981 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8 + 3)*(1996*p - 1996*p + 81*p**2 + (-4 + 2*p + 4)*(-p + 3*p - p)) + (-3 + 6 - 2)*(-2*p**2 + 3*p**2 + 0*p**2) as c + g*p**2 + k*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588674, 2355591, 5300458, 9423281, 14724066, 21202819?\nAnswer: 28859546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 t, and 1 k when four letters picked without replacement from {t: 4, k: 2, g: 1}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 5. Suppose -4*f - 14 = 2. Let p be d(f). Let l(a) be the first derivative of a**2 + 2*a + 2. What is l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313911 + -39.\nAnswer: 313872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1555*z**5 - 2*z**3 + 3129*z**5 - 1020*z**5 - 2*z**4 + 2*z**4 - z**5 + (4*z - 4*z + 2*z)*(0*z**4 - 2*z**4 + z**4).\nAnswer: 551*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3217.3 * 1\nAnswer: -3217.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 + 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 200864 divided by 5?\nAnswer: 200864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(35)\/sqrt(5)*2 + (sqrt(7) - -6*(sqrt(7) + (sqrt(7) - (sqrt(7) - sqrt(175))))**2))*1.\nAnswer: -9072 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 3*i. Suppose -7*u = -i*u - 70. Suppose 30 = 3*d - 5*h, 0 = -5*d + d - 2*h + u. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -4, 12, -149, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = k - 5*k - 12, -2*x = 4*k + 12. Let w(d) be the second derivative of d**5\/20 + d**4\/12 - 5*d**2\/2 + 13*d. Calculate w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396645128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 16. What is a(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -278548 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*n + 5538 = -43*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.3 and 108.85.\nAnswer: 105.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 3*s**2 - s + 4. Let x be d(3). Let i be 37*-1 - (0 + 0). Let z = x + i. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 16583*b + 49747. What is j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**3 + 15*y**3 - 22*y**3 - 7*y**3.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.07398l to millilitres.\nAnswer: 28073.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, e: 9}. What is prob of picking 2 e?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/5, 384, -3, -2\/13 in decreasing order.\nAnswer: 384, 2\/5, -2\/13, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 489427836 to the power of 1\/3, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, -0.5, -0.057 in descending order.\nAnswer: 5, 1, 0, -0.057, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/45)\/(12\/(-9))*-672229. Let n = -22410 + j. Find the common denominator of n and -16\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13186 is divided by 732.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 20*o + 60. Suppose -4 + 9 = 5*v, -2*v - 10 = -m. What is the tens digit of f(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*s**2 + 2*s**3 - 73*s**2 + 153*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 189, 291, 397, 507, 621, 739?\n\"Answer: 2*b**2 + 92*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1887*f - 1873*f = 168 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 5) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Suppose -4 = -h*c + 11. Let t be (-8)\/(c\/5*-2). Solve -t*x + 12 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9104*k**2 - k. Let g(l) = -100*l. What is g(s(w))?\nAnswer: 910400*w**2 + 100*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((3 - 2 - (-22 + 29)) + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 17*a**2 + 19*a - 17. Suppose -n - 6 + 49 = -5*v, -3*n + 29 = 5*v. Let c be t(n). Do c and 3\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wnheeeahhxhhhhhw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/15)\/2)\/((-13)\/39).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*h*k**2*p + 131*h*k**2*w**3 + h*k*p*w - 3*h*k*w**3 - 35*k**2*w**3 - 898*p*w**3 with respect to p.\nAnswer: 37*h*k**2 + h*k*w - 898*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/3 and 1\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/104332 in -3, -44, 0, 5, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 + 444. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6393 - 70339 = -2*o. Let y(d) = 14*d - o + 38366. Let f(r) = 3*r - 2*r + 2*r. Give y(f(k)).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from sccsssssssss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + 3 - 3)*(145 - 36 + 124) in the form t + d*k and give d.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148362678 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 2*v + 320 = 24*a, a = -4*v + 42. Calculate the remainder when 236 is divided by a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 115. Let k(w) = -w - 192. What is 10*k(s) + 17*m(s)?\nAnswer: -10*s + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249703 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Suppose 0 = -3*d - 4 - 11. Let f be (-2)\/2 + d + 3. Let l = -1 - f. Give k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8852 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times 578.8\nAnswer: -1910.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/(sqrt(35)\/sqrt(5)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 - 5*s**2 - 12*s - 11. Let c(t) = -5*t**3 - 3*t**2 - 6*t - 5. Let a(q) = -7*c(q) + 3*g(q). Let a(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2055036 - -4?\nAnswer: 2055043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b - 2*t = -12, 24 = 3*b - 3*t. Let u = 123 + -91. Calculate the highest common factor of b and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 - -3c74?\nAnswer: 3cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/54 - (-52)\/(-9). Let m be (-1463)\/(-6) - 1\/y. Suppose -10 = -5*p, -m = -2*r - 2*r + 4*p. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -86. Let g = -16 - w. Suppose 0*o - 2*o + 19 = 5*p, 0 = -4*o - 4*p + g. Solve 9*i - o*i = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.43037 + -0.06963. Which is the third biggest value? (a) 2\/7 (b) 5 (c) 0 (d) t (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -30 - (-4 - -4). What is the greatest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 181733, 1\/3, 1\/7?\nAnswer: 181733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Is 12 a factor of 66\/(3\/n) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*b = 65, -55 = 5*d - 5*b - 165. Calculate the remainder when d is divided by 154*-1*(-225)\/3150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3044 = 27*u + 57*u + 3044. Find d, given that -2\/5*d**3 + 4\/5*d**4 + u*d**2 + 0*d - 2\/5*d**5 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-71)\/12*(-174 + 164)*2\/30 and 25\/1656.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 2*n = -70, 2251730*v - 2251727*v - 98 = -4*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/6 - f. Let o = 29 - 51. Let c(n) = -7*n**2 - 3*n. Let h(r) = 27*r**2 + 11*r. Let z(v) = o*c(v) - 6*h(v). Give z(b(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2. Let o be n(2). What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -139*v + 2785. Let j be m(20). Solve -j*d + 2*l = -6, 32*d + 4 = 30*d + 4*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23000301 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 2 y when four letters picked without replacement from {k: 8, x: 2, j: 4, y: 5}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5 = 4*k + 7, -2*k + 3*b - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52412.908 rounded to the nearest ten?\nAnswer: -52410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 13) to base 16\nAnswer: 22f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303 = -62*n - 123 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -3, -103, 5, -1, 1\/8 in descending order.\nAnswer: 5, 1\/8, -1, -3, -51, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 11) in base 16?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tsstttt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h + 5. Let u be d(-8). Suppose -2*l = 5*c - u, 131 = 4*l + c + 12. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5230 is divided by 145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 1. Let q(x) = 6*x**3 - 4*x - 14. Give -12*d(j) - q(j).\nAnswer: 6*j**3 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12*b**3 + 7*b**2 - 5*b. Let i(t) = 24*t**3 - 15*t**2 + 11*t. Suppose 12 = 6*x - 4*x. Let v(a) = x*i(a) + 13*c(a). Give v(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12103486 rounded to the nearest 100000?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 8. Let l(x) = -10*x - 10. Let s be l(-2). Let n be ((-13)\/5 - -2) + (-54)\/s. Determine g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 980, 1985, 3020, 4091, 5204, 6365, 7580, 8855?\n\"Answer: o**3 + 9*o**2 + 971*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*t**2 + 122*t**2 - t**3 + 8*t**3 + 223*t**2 + 128*t**2.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -660*y**5 + y**2 + 157?\nAnswer: -39600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 29300.\nAnswer: 29300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxyppiiiixmm. Give prob of sequence iy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3969 divided by 27.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 2201040598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.56 and -2.\nAnswer: 27.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9157026.\nAnswer: 2, 3, 431, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Let m(k) = 7*k**2 + 24*k - 10. Let j be m(-4). Let q(b) = b. What is j*s(z) - 14*q(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9163, -18326, -27489?\nAnswer: -36652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:12 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 + 1661*s**2 + 512016*s - 28293120 = 0 for s.\nAnswer: -307, 48, 1920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175436319?\nAnswer: 1175436319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 10*f - 102. Let r be q(7). Solve -5*s = 41 - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4\/7, 12, 33273, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.521248 millennia in years?\nAnswer: 1521.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*(f*f**(4\/7)*f*f)\/f*f**(-4\/3)*f**3*f assuming f is positive.\nAnswer: f**(194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**7\/840 + q**6\/120 - q**5\/120 + q**4\/8 + 15*q**3\/2 - 59*q**2. Let p(o) be the first derivative of w(o). Give p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y - 18*y - 2*y**2 + 10*y**2 + 5*y**2 + 2 - 10*y**2 to g*y + o*y**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7513 - -7518. Solve 0 = j - 2, 19 = d*v - j + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 178 + 91)*(-2*n + n + 2*n)*(5 - 3 + 0)*(-1 - 2 - 1).\nAnswer: -1880*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*k + 19. Let l(u) = u**2 + 4*u + 10. Let q be l(-9). What is the greatest common factor of q and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -r*c = c. Is c equal to -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67177960.\nAnswer: 2, 5, 1049, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 13*w**5\/10 + 25*w**3\/3 + 35*w + 51. Let j(h) be the first derivative of z(h). Find the second derivative of j(t) wrt t.\nAnswer: 156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40 - 1*((2 - 0) + -1). Suppose -7*h + q = -38. Suppose 7*b - h*b = 28. Let j(c) = -c - 9. Calculate j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.98 + -0.02. Which is the closest to -0.1? (a) u (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 9*r + 5733. What are the prime factors of r?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(10\/90). Suppose q = 13 + c. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Suppose -12 = -5*n + n. Let y be -2 + 2*(2 - n). Let j(c) = -c**2 + 1. Let u(w) = w**2 - 1. Calculate g*j(q) + y*u(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*1\/(-51)*-1*(-190)\/(-190).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6815, 10649, 17039, 25985, 37487?\nAnswer: 51545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -1\/3 (b) -0.33 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 25*u**2 - 186*u - 456. Calculate i(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/21*((-15)\/(-5))\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -671 + 671. Put i, -10, -1 in increasing order.\nAnswer: -10, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(1518\/(-198)). Let k = 1 + -1.2. Put 4, 2\/3, k, h in descending order.\nAnswer: 4, 2\/3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 - 19*m - 2*m**2 + 5*m - 7*m**2.\nAnswer: 2*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1695)\/2772 - (-2)\/14*2 and 69\/76?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 356*v + 9. Let u(a) = -2145*a - 55. Let k(z) = -55*p(z) - 9*u(z). Let t(l) = 10*l. What is t(k(b))?\nAnswer: -2750*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c - 12*c - 15*c**3 + (-4*c**2 + 1 - 1)*(-2*c - 2 + 2))*(-3 - 11 - 2).\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 32077 and 5587.\nAnswer: 37664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5360 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*r = 2*t - 8, -t + 3*r = -6. Let b be -3*2\/3 + 18 + t. Suppose -3*q - z = 3*z - 52, -z + b = q. Put -1, 3, q in ascending order.\nAnswer: -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2256 and -137\/1974?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 6*k - 2*i + 141921, -3*k + 85152 = i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 635.0177mg?\nAnswer: 635017.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d. Let f(m) be the second derivative of m**7\/420 + 83*m**4\/12 + 104*m. Let z(c) be the third derivative of f(c). Calculate v(z(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 57167788 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 4.97. Suppose -23*a - 10 = -20*a + 5*t, -3*t = 4*a + 6. Put -3, g, a in decreasing order.\nAnswer: g, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.374 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 3\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 9\/9889568 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c + 5, -c - 2 = -p. Suppose 0 = -5*o - 0*o + 15. Suppose -98 = -b - b + p*l, 147 = o*b - 5*l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -v + o - 5*o, 4*v - 5*o = 68. Suppose 4*j + 4 = 2*k - 4, 2*k + j + v = 0. Put 2, k, 0 in descending order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1125, 4586, 10345, 18396, 28733?\n\"Answer: -d**3 + 1155*d**2 + 3*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -223*f**3 + f**2 + 3*f - 3. Let u be l(1). Let g = 233 + u. What is the highest common factor of 737 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(6292)*1)\/(((2*sqrt(88))\/sqrt(2))\/sqrt(11)))**2 + 1.\nAnswer: 14161\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/374)\/(2\/(-8)*-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -13, -60, -5 in decreasing order.\nAnswer: -2\/3, -5, -13, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229931 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 107265105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 18704?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 7584457?\nAnswer: -7584452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2642, -2, -130 in increasing order.\nAnswer: -130, -2, 2642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**5 - 921*f**4 - 215*f**2 - 610736*f?\nAnswer: 60*f**3 - 11052*f**2 - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 84669 - 84634 = -2*l, 0 = 4*x - 5*l + 61 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i - i + 2)*(1 + 2 + 3)*(163 - 90 - 2).\nAnswer: -852*i - 852","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/133 and -119\/699276.\nAnswer: 4894932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20175 or -54981?\nAnswer: -54981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771 = -109*x + 744 - 425 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4644609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3580300 and 1700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from vvvuvvvvvuvvvvuuvvv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22348 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1921144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + 4*z)*(z - 4*z + 5*z) + (z - 3*z - 3*z)*(2 - 2 + 3*z) + 3 - 3 - z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/21 - 50*s**3\/21 + 150*s**2\/7 - 250*s\/3 + 2500\/21 = 0.\nAnswer: 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1512266)\/(-18) + 12\/54. Suppose -c + 42003 = 2*x, 2*x = -2*x - 5*c + t. What is x rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7221\/578 + -2\/289. Let u be -80*6\/93 + 4. Let g = u + 723\/62. Find the common denominator of l and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 30. Let c = 5 + p. What are the prime factors of 504\/35 - (-2)\/c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -424, -845, -1266, -1687?\n\"Answer: -421*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eerrhehrree?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j**2. Let m(h) = -148*h - 69. Let p(u) = -1035*u - 460. Let s(d) = -20*m(d) + 3*p(d). What is s(i(c))?\nAnswer: 1450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/19854250 and 31\/596.\nAnswer: 39708500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46 and -748029709?\nAnswer: 748029663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504374\/7 at least 1214910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 174*d - 87*d - 41*d**2 - 25*d**2 - 87*d.\nAnswer: -2*d**2*(d + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 + 17848*s\/13.\nAnswer: -2*s*(s - 8924)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*k + 10, 20 = -4*s + k - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 6. Let h be u(6). Let k(r) = -r**2 - 15*r - 26. Let t be k(-12). Let d be (((-1071)\/(-35))\/17)\/(2\/t). Solve d = 3*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -185.675 + 116.63. Let i = -0.045 - h. Let j = 79 - i. Put j, 0.4, 0 in decreasing order.\nAnswer: j, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -136. Let d(a) = -a**3 + 10*a**2 - 12*a - 10. Let g be d(z). Let t = -56 + g. Put -0.23, 1, t in ascending order.\nAnswer: t, -0.23, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 11*b + 0*b**3 + 2*b + 184 + 327*b**2 - 167*b**2 - 184.\nAnswer: b**3 + 160*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1 + 0)**2 + sqrt(77)\/(sqrt(56)\/sqrt(8)) - ((sqrt(11) - -1*sqrt(11)) + 4 + sqrt(55)\/(-1*sqrt(5) - sqrt(5)) + -5).\nAnswer: -sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/5)*b**7)**(-50)\/(((b*b**(-4\/9))\/b)\/(b\/(b**3*b))*(b*(b\/(b\/(b*b**(-2\/19)\/b)))\/b)\/b**(5\/2)) assuming b is positive.\nAnswer: b**(-129943\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {f: 7, g: 2, c: 3, q: 2, n: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1007 + -3022\/3. Let q = 2 + -2. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 263, 478, 699, 926, 1159, 1398?\n\"Answer: 3*g**2 + 206*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 6*p - 9. Give t(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*x - 6558, -21*j + 16395 = -16*j + 3*x. What are the prime factors of j?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8766, 17527, 26286, 35043, 43798?\nAnswer: 52551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + 16 + -6 + -22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(5\/2)*q*q\/(q**(-6\/5)*q)*q*q*((q**4\/q*q*q)\/q)**(-1\/8) assuming q is positive.\nAnswer: q**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1967.4 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:54 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 9 = 0. Let y be 6\/c - 104\/3. Let a = -17 - y. What is the remainder when 33 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 4, x: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 59*v**2 - 511*v + 189. Give l(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20. Suppose -3*y = -50 - w. Suppose c + 0 = k - y, -96 = -4*k - 3*c. What is the remainder when k is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38220 or 38219?\nAnswer: 38220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0115 - -0.0115. Let u be 6\/(-70) - 4\/(-14). Let i = 5 + 0. What is the third biggest value in i, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1096689372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235\/288 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 16247.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -7426?\nAnswer: 1\/3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3481 + -3462. Calculate the remainder when 3265 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, -3\/2, -0.1, -2 in increasing order.\nAnswer: -2, -3\/2, -0.29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + (sqrt(105) - ((-1*sqrt(105) - sqrt(105)) + sqrt(105))) + sqrt(105) - sqrt(105) - sqrt(105))\/sqrt(7))\/((sqrt(135) + sqrt(15))\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15500083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 52. Let a(t) = 27. Let f(d) = -4*a(d) + 2*c(d). Let v(u) = u - 45. Calculate 44*f(n) - 4*v(n).\nAnswer: -4*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 20494, 13 in increasing order.\nAnswer: 13, 38, 20494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239741\/25 + -9591. Let d be 1723\/75 - (-10)\/(-15). Let a = f - d. What is the common denominator of a and 36\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 - 114. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 9:48 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 164.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3657753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + 3*u**2 - 2*u. Let s = -8 - -9. Let x be f(s). Suppose -4*g - 2*b = 2 + 6, -5*g = 5*b + 10. Sort 5, x, g in decreasing order.\nAnswer: 5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1412 - -45463?\nAnswer: 46875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-546)\/(-364)*4\/18. Sort -1, 115\/6, w.\nAnswer: -1, w, 115\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 1\/120*f**6 - 50*f**2 + 0*f**4 + 0*f + 0 + 1\/70*f**7 + 0*f**5 - 113\/6*f**3. Find the first derivative of s(n) wrt n.\nAnswer: 12*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 560, 554, 548, 542?\n\"Answer: -6*v + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = 0, 3*r - 9*f + 265 = -f + 226 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100716 is divided by 366886?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/46*12 + (-214)\/2461?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:24 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/14)\/h**32)**(-15\/8))**(3\/4) assuming h is positive.\nAnswer: h**(20025\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 3*b + 6. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(11) + sqrt(44)\/(sqrt(20)\/sqrt(5)) + sqrt(11))**2.\nAnswer: -30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1465 in decreasing order.\nAnswer: 2, 1, -1465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006180299894 to five decimal places.\nAnswer: 0.00618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o - 29*o**3 - 11*o)*(0*o + o - 4*o) + o**4 - o**4 + o**4 + 13*o - 4*o**4 - 13*o.\nAnswer: 84*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 218262368?\nAnswer: -218262370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**3 - 3*s**2 - 10*s - 5. What is the tens digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, v: 3}. Give prob of picking 3 g.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*f**2 + (-f - 4*f + 6*f)*(-2*f + 3*f - 4*f) + (40*f**2 - 590 + 590)*(-2 + 2 + 2).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j)**(-3\/8)*(j*j\/(j*j\/j**(-10))*j*j)\/j**(4\/5) assuming j is positive.\nAnswer: j**(-337\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - 10\/(-3) - 3. Put 2, m, -0.1 in decreasing order.\nAnswer: 2, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 12241766.28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2\/2 - 3*s - 2. Give y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22 + -29)*1560\/(-21). Let q = -505 + c. Solve -q = 16*y - 21*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 1, p: 1, r: 1, t: 1, l: 2}. Give prob of picking 1 c, 1 e, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2896 by -16.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j**2 - 18*j + 28. What is the tens digit of f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 28*p = -24. Sort -1, -28, p, 4 in decreasing order.\nAnswer: 4, p, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = 2379725*o - 2379720*o - 41, -t = o - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757 is divided by 198.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 - p. Let t be a(0). Suppose 5*z = -t + 15. Suppose -5*y = z*g - 19, -4*g = -3*y + 5 - 40. Solve d + g = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*n - 617*n = 368*n - 39364 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -49*o**2 + 12*o + 11. Let r be v(-3). Let p = 932 + r. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/147 - h**6\/105 - h**5\/35 + h**4\/21 + h**3\/21 - h**2\/7 - 10*h. Let d(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15936 - 15940. Let m = 0.2 + -0.2. Which is the closest to m? (a) -1 (b) g (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594354 + -338467. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.10189 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86522, 83400, 74916, 58388, 31134?\n\"Answer: -447*w**3 + w**2 + 4*w + 86964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 9*o - 7. Calculate the remainder when 12 is divided by p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 9*b. Suppose -j - j + 5*c + 10 = b, -10 = 5*c. Solve -12 = -3*g - j*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 55, -0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -0.3, -4\/7, 8\/203, -1\/89?\nAnswer: 8\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3 (c) 2\/7 (d) -5 (e) -20\/1357 (f) 2\/9 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Suppose 0 = 6*r - 4*r - 52. Calculate the remainder when r is divided by h(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -59513, -0.38, 5?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {d: 6, z: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + p**2 - 13 + 2*p + p**3 + 7 as l*p + u*p**3 + c + g*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32400 - -32410. Let s(d) = 14*d - 129. What is s(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((70\/(-25)*3)\/(128\/(-320)))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 621391874231\nAnswer: -621391874230.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.25526 times 66\nAnswer: -16.84716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -358370, -716734, -1075098, -1433462, -1791826?\n\"Answer: -358364*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 11:40 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-6)\/21*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295489 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**2 - 13*u + 13. Suppose -4*v - 55 = v. Let c(h) = 21*h**2 + 35*h**2 - 48*h**2 - 7 + 7*h. What is v*c(y) - 6*z(y)?\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -464*x - 59. What are the prime factors of f(-3)?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phehpeaaaeeahhhhppa. What is prob of sequence pp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*q**3 + 9*a**2*q**2 + 2*a*q**3 + 33*a*q**2 + q**3 wrt a.\nAnswer: -2*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 + 6 + 5 - -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 6*v + 7. Let c be m(5). Let w = 114 - c. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -1\/20*q**5 + 1\/6*q**4 + 0 + 6*q + 21*q**2 + 1\/6*q**3. What is the units digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 19. Suppose -h*s + r + 2 = -2, -4 = 3*s + r. Suppose 5*w = 5*i - 100025, -4*i + 8 + 12 = s. Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/2*(-242)\/8. Let b = -85 - s. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.7 and -19.05.\nAnswer: -43.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.015919km in meters?\nAnswer: 6015.919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116682619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 + 3*n**2 - 4*n**2 + n**2 + 2*n**2 + 0*n**2 + 1725*n - 1725*n - 187*n**2 + (3 + 2*n - 3)*(0 + 5*n + 0).\nAnswer: -171*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.4, -0.285, -68?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1108)\/(-6))\/(4\/6). Suppose 4*g = 3*n + d, -2*g - 1 + 139 = -2*n. What is the units digit of (6\/5)\/(21\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/39, 2, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542 (base 13) to base 8.\nAnswer: -1603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12683416*f - 52*f**3 - 34*f**3 + 12683408*f.\nAnswer: -86*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11476740, 22953447, 34430120, 45906753, 57383340, 68859875, 80336352, 91812765?\nAnswer: 103289108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z*z)**(-32)\/(z**3)**(-2\/129))**(1\/43) assuming z is positive.\nAnswer: z**(-1374\/1849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616171802 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154.949 + -0.051. Let s = 1.642 - -167.158. Let z = s + l. What is z rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*w**3 + 200*w**3 + 210*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 3*p**2 - 5*p**2 + (2*p + p - p)*(-5*p - 93*p + 12*p) as q*p**2 + v + z*p and give q.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 5*b**2 + 10*b + 10. Let d(z) = 11 + 3*z**3 + z**2 - 5*z**2 - z + 7*z + 3*z. Let j(x) = 4*a(x) - 3*d(x). Is j(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13bc166 - 5?\nAnswer: -13bc16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28 = 2*l - 25, 3*l = 2*z + 1. Put z, -3, -8, -21 in ascending order.\nAnswer: -21, -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -43*g**7\/210 - g**6\/120 + 49*g**4\/24 + g**3\/6 + 3*g**2 + 100. Find the second derivative of n(q) wrt q.\nAnswer: -516*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110793571 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 19*u + 15. Give c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742*b + 483*b + 5830090 = 0. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3111010 is divided by 792?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 3.15. Let g = -36\/85 + 399\/340. Which is the third biggest value? (a) 5\/8 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 - 13 + 7 - 5*q + 7 + 5*q**3. Let a(y) = 6*y**3 - 5*y**2 - 6*y + 1. Calculate 4*a(l) - 5*m(l).\nAnswer: -l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 199034257 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36133, -2, -5 in decreasing order.\nAnswer: -2, -5, -36133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q + 3. Let f be j(-4). Factor 2*b**3 - b**3 + b**f.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-2)\/3. Let g(h) = -4*h. Let r be g(-2). Solve -2*s - 8 = -3*z, f = 2*s - 0*s + 5*z - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*3*12\/153?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:08 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 22. Let k be b(-8). Let x be (-1 + -3 - k) + 2. Let t(h) = -h**3 - 9*h**2 + 14*h - 13. Is t(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.87266ml in litres?\nAnswer: 0.07287266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/(3\/(-60)). Suppose 0 = -w*o - 24 + 128. Suppose -7 + 59 = 4*j. Calculate the greatest common divisor of o and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:22 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100366)\/(-1072) + -94 - (0 - 950\/16)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**3 - 68*g**4 - 11*g**4 + 14*g + 77*g**4 - 17*g - 11*g**2 - 1 to a*g + q*g**4 + j + c*g**2 + m*g**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*139*1364\/(-77). Let d = -2455 - r. What is the common denominator of (17 + 0)*(-6)\/14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -7, -0.1, 0.1 in increasing order.\nAnswer: -7, -0.2, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*y - 103*y - 37*y**2 + (y - y - 2*y)*(-4*y + 2*y + 4*y) + (1 + 2*y - 1)*(-y + 3*y + 0*y) - 2*y**2 + 2*y**2 - y**2.\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2286916?\nAnswer: 25156076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 421049.583867 + -0.03\nAnswer: 421049.553867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 4.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -54.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 - 182 = -4*r. Suppose -166*t - 25828 = -r*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -695*l**2 + 15379*l**4 - 7695*l**4 - 7701*l**4 - 30*l**5 wrt l?\nAnswer: -1800*l**2 - 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 15*v = 76. Let r = 33 - 20. Put -5, v, r in ascending order.\nAnswer: -5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h**2)*(0 - 2 - 1) + (2*h + 4*h - 4*h)*(h + h - 4*h) - 368*h**2 - 12221 - 13*h**2 + 12219.\nAnswer: -391*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -84354?\nAnswer: -84357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/15)\/((-8)\/180). Let x be ((-6)\/p)\/(1\/(-45)). Solve -u = 4*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2393 - -2397. What is the third biggest value in -3, w, 2\/5, -0.217?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 34 = -2*u. Factor h - 5*h**3 - 65*h**4 - 4*h**2 + 3*h**u + 62*h**4.\nAnswer: -h*(h + 1)**2*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5967, 41 in descending order.\nAnswer: 41, -2\/7, -5967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5223*f**2 + 6*f - 3 + 5252*f**2 - 6*f + 6.\nAnswer: 29*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(234\/462)*1*(-10)\/(-55).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201041 - 311?\nAnswer: -201402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36248 and 99682.\nAnswer: 398728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*4*(sqrt(700) - (sqrt(700) + 2)**2 - sqrt(700))*3.\nAnswer: -33792 - 1920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3031 - 973 = 0. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*2) + sqrt(76)\/sqrt(144))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5548135 and 4205.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/6 - 10*g**3\/3 - 25*g**2 + 3*g + 4. Let l(i) be the first derivative of c(i). Determine z so that l(z) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -1.1. What is the third biggest value in -2\/7, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1. Let z(j) be the third derivative of 13*j**4\/24 - 13*j**3\/3 + 3*j**2 + 115*j. Determine -26*k(l) + z(l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3412658 - 141817 = -359*m + 3970165. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 - 26804*o\/9 - 116038\/3 = 0. What is o?\nAnswer: -13389, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/17*510\/(-60)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 3.6?\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10050 + -9786. Calculate the highest common factor of i and 11176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 263*h**2 + 1055*h\/2 - 264.\nAnswer: -(h - 1)**2*(h + 528)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*k**2 + 8974 - 8974 + (7*k - 4*k + 4*k)*(2*k + k - k) as c*k + d*k**2 + w and give d.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 11382384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4126.723l to millilitres.\nAnswer: 4126723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*i - 23 - 53 = 0, -79 = -4*q - i. Suppose -2*o + 31 = -0*o - m, -4*m - q = 0. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 348982530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 271448289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -982.45 from -4.91.\nAnswer: 977.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57831 (base 10) to base 4.\nAnswer: -32013213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -262. Let h = f - -98.6. Let b = h + -0.1. What is the biggest value in -0.2, -2, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*l - 2948*l - 3357*l + 640*l + 293*l.\nAnswer: -6513*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 22 = 82. Let s = h - -13. Solve -4*g = 5*w - w - 16, -w - s = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:45 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 4 (c) -8\/3 (d) 0.2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2, b: 2}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l + 0*l**3 - 3\/5*l**5 + 0*l**4 + 3 - 3\/2*l**2. Find the second derivative of k(p) wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/78*-3 + 14512\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48\/7 + 46\/7. Suppose -2*r - 3*o = 6, -3*o = r + 2 + 7. Let w be ((-2)\/r)\/(0 + -1). Sort 1, k, w in descending order.\nAnswer: 1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imjommxiroi. What is prob of sequence ir?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23324.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -0.1 (c) 91\/60 (d) -0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*o**3 - 208*o**3 + 421*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.00424 + -0.19576. Let i be (11\/(-2))\/(20\/8 + -2). What is the nearest to 0.1 in i, 5, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*p + 14 = 0, 106*p - 39*p - 3201 = 4*w - 2850 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13713*y + 13713*y + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*r + 3, 24*r - 33 = -3*y + 29*r. Solve -2*k = -4*w + 18, 4*w - 12 = -y*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264320823 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110 + 1010?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45575964 divided by 6?\nAnswer: -7595994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(110)*-1*-3)\/((sqrt(50) - (sqrt(7200)*2 - sqrt(7200)))\/sqrt(5)).\nAnswer: 15*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236\/51 - 1282\/255. Let t = 171\/2 + -83. Let p = -4.3 - -4. Which is the third biggest value? (a) i (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -2291, -5113, -9065, -14147?\nAnswer: -20359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -339446.537 rounded to the nearest 10?\nAnswer: -339450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*w - 4, -74 = -4*c + 2*w. Calculate the highest common factor of c and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5904, -5885, -5864, -5841?\nAnswer: -5816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8430 + -101255\/12. Calculate the common denominator of t and 4\/22 - 71\/(-154).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)\/(9 - 7). Let m be 1\/((-91)\/(-28) + -3). Solve g = -0*w + m*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((39*h + 12*h - 7*h)*(6 - 4 + 11) + 4*h + 0*h - 5*h)*(1 - 2 + 1 - 1) as a + x*h and give x.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:31 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:58 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 1890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47667212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6\/7)\/l**5*((l*(l*l*l**2)\/l*l*l)\/l)**(-26))**44)**(-19) assuming l is positive.\nAnswer: l**(795036\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10689428 divided by -23.\nAnswer: -10689428\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 655445273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130*0.1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220211110 (base 3) to base 12.\nAnswer: 29310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1940 - -17458\/9. Is -33 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1\/(-2)*(32 - 32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 6. Let q = 8 - j. What is b in 2*b**2 + 2*b - 3*b**q + 563 - 564 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -112474777.\nAnswer: -112474776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618895631?\nAnswer: 2039, 303529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34.2999096 + -4\nAnswer: -38.2999096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3\/19, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 23*t**2. Let f(r) be the second derivative of 31*r**3\/6 - 817*r. Calculate h(f(d)).\nAnswer: 22103*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1682536, -3365010, -5047482, -6729952, -8412420?\n\"Answer: x**2 - 1682477*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/11))**(-7\/2)\/(h*h**(-1\/27)*h**21) assuming h is positive.\nAnswer: h**(-7657\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2154284 and 115726?\nAnswer: 28005692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-3)*(-45)\/2. Suppose -n = 4*n - h. Suppose -2*q = -n*q + 12. Calculate the remainder when 5 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267123986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -57, -122, -213, -330, -473?\n\"Answer: -13*b**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/21 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.058?\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*k + 15, 6*t - 2*t = -k + 16. Let x(c) = -t*c**2 + 0 + 4 + 1 + c**3 - 3*c**2. What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -9.\nAnswer: 115\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-12))\/((-260)\/(-156)). Which is the smallest value? (a) k (b) -2\/11 (c) 2\/7 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1189\/41)\/(-29))*(-1)\/(2\/172)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.1 - 31.69.\nAnswer: -19.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.03, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1 + (-648)\/(-56))*(27 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8) + ((-1173)\/(-4))\/(-23))\/1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*m - 21, 3*j - m - 27 = -4*m. Solve 5*p + j = 2*p + q, q = -3*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83740, 167747, 251754, 335761, 419768?\n\"Answer: 84007*y - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 927560 and 30?\nAnswer: 2782680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87003 is divided by 28999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.4 (b) 0.3 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30)\/((-61)\/183)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 5354?\nAnswer: -5351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73646?\nAnswer: 2, 23, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 2.8. Let o = 9 - 6. What is the nearest to g in o, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127675228 and 724?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1471 - 1472. Let v be d + 10\/7 + (-9870)\/735. Let a be (-1)\/((0 - -1) + -2). Sort v, a, -3.\nAnswer: v, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10)\/(63\/70 - 1). Find the third derivative of 98 - o*g**2 + 35*g**4 - 195 + 97 wrt g.\nAnswer: 840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 1315*s - 8057. Determine g(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113423231 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 6\/5 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18485046197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 56 = -2*q, 0 = -3*q - 5*x + 84. Suppose 0*b = 2*b - q. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 566 - 564. Factor 3*p**3 + 9216*p + 30302 - 26277 - 102329 - 288*p**w.\nAnswer: 3*(p - 32)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3 + 25. Let s(a) be the first derivative of a**3 + 1. What is s(p(k))?\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = -2*z, -16 = -3*r + 5*z + 3. Let k be (-2)\/(-6)*r + 77\/3. Calculate the highest common factor of 125 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 2\/7, 12, 3, 8\/7, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**2 + 1. Let m(n) = -2*n + 2*n - 2*n + 4*n. Determine m(z(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1364322102 + 5?\nAnswer: 1364322110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*-1)\/sqrt(5))\/(4*sqrt(56)\/sqrt(7))*2.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -26*o + 56. Let x be i(-4). Factor 5*m**4 + 319*m**5 - 164*m**5 - x*m**5.\nAnswer: -5*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026900523?\nAnswer: 409, 4955747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9169450 to the power of 1\/2, to the nearest integer?\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 296 and 0.5.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 3\/8, -4, -335?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.82379 millimeters in kilometers?\nAnswer: 0.00008982379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = 4*j - 16, 5*s + 53 = -3*j. Let m = -1 - 0. What is the units digit of (4\/s)\/(m\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916916033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 343.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o - 123*o + 28*o in the form c*o + r and give c.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/3*-28*-2. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/44496 and -73\/2862?\nAnswer: 2358288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let p = d - -1. Let s(w) = -6*w**3 - w**2 - w - 4. Let o(f) = -f**3 - 1. What is p*s(c) + 4*o(c)?\nAnswer: 2*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002410567 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.1 (c) 131 (d) -0.4 (e) 19 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 2.9. Let q = g + -3.3. Which is the biggest value? (a) q (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.34 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441244*s**3 - 290565*s**2.\nAnswer: -2647464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + ((-12 - 1) + -17 - 0) + 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 4515 - 906 - 354 = -49*u for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2406*r - 12. Let u be d(-10). Let o = -11445 + u. Suppose -5*g + 2*w = -o, 0*w - 3*w = -2*g + 5039. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 3, 0.5, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 2, p: 7}. Give prob of sequence px.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -2440?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3\/4*(-24)\/(-9). Let z(n) = -n. Calculate z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -3*o, 2*n + 4*o = 5 + 7. Which is the biggest value? (a) 4 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 15*u - 85. Give s(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*b**3*o**2 - 2*b**3*o - 5*b**3 + 3*b**2*o - 2*o**2 wrt o?\nAnswer: -292*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 756, 1658, 2910?\nAnswer: 4512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from {j: 4, q: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 13 = f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/279 - 8\/31. Which is smaller: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -87, -77, -65, -51, -35?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -5\/4, 0, -9\/10, 2\/13, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1614*g**4*k - 36963*g**3 - 13*g**2*k - 3*g**2 + g*k + 1513*k - 136 wrt g?\nAnswer: -38736*g*k - 221778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(41\/20 - (0 + 2)). Suppose 2*l + r - b = 2*r, 400 = 4*l + r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b - 1554247?\nAnswer: -1554295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:44 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 28*p - 1120. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 - t + 1. Let g be 0*(-1 - 2*4\/(-16)). Suppose -3*x - x + 8 = g. Suppose -5*r - 17 = v, 5*v = 5*r + 3 + x. What is i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.6 * 30\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/95*50\/60\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - x - x + (1 + 3 - 2)*(-x + 2*x - 2*x) + (3 - 5 + 0)*(0*x - 5*x - 7*x) - 3*x + 0*x - 2*x to the form w + i*x and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58351, 76267, 94183?\n\"Answer: 17916*n + 40435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935041?\nAnswer: 503, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9720\/(-1890))\/((-2)\/91). What is the highest common divisor of c and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:57 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.07 + -17. Let x = -0.14 + z. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(3 + -9) - -7. Suppose m*a + 28 = 4*a - 3*d, 4 = a - 2*d. Let n = -14 - -18. Put n, -2, a, -5 in ascending order.\nAnswer: -5, a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1527536 - 2*u**3 - 2*u**3 - 2*u - 1527319 as l*u**2 + t*u + v*u**3 + x and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from uddhuhhduvhuhdhd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 72 + 16 = 0. Let n = 42 - f. Suppose -n = 3*m + m. Sort 3, -4, m in descending order.\nAnswer: 3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let h(j) = 9*j**2 - 7*j + 30. Let g be h(7). Let n(q) = g*q + 428*q - 93*q**2 - 850*q. What is f(n(z))?\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-14)*(-122)\/((-1830)\/(-35))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-33))**50\/(l**(-2\/9)\/l*l*l*l**(-2)*l**(-1\/4)\/((l**(2\/7)*l)\/l)) assuming l is positive.\nAnswer: l**(-138157\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -12, -5*m + h + 103 + 220 = 0. Let z = -62 + m. Solve 0*r + 0 + 2\/7*r**z = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-6) + (-3)\/2. Let u be (i - (-14)\/3)*-3. Put u, 0, -5, -3 in decreasing order.\nAnswer: u, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:30 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -10 - -13) + (26 - 24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*((-160)\/48)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -509?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527.09 - 528. Let a = j + 1.72. Round a to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) 0.1 (b) 0 (c) -2\/9 (d) 0.0449 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*z + 18, 0*x - 22 = 5*x + 3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1 - -2) + (24 - 8). Suppose h = 5*z + 4*i, 3*z = -z + 4*i + 20. Solve 3*a + a + z*m - 16 = 0, -3*m = 2*a - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 53. What are the prime factors of v*(1 + 556\/8)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 138*n**2\/5 - 1008*n\/5 + 10584.\nAnswer: -2*(n - 15)*(n + 42)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*(-315)\/180?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 4 = 2*k + 3*j, -3*k + j + 11 = 0. Suppose 0 = -m + m - 4*m. Suppose -3*r - 11 = -4*r + 3*l, m = -3*r + 2*l - 2. Sort k, r, 8.\nAnswer: r, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1324 * -3.\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36 (b) -1 (c) -0.1 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 11:29 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/256 and -65\/896.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33039546 take away -12775565?\nAnswer: 12775564.66960454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-9) + 2\/6. Let c(y) = 9*y**2 + 3. Let i be c(3). Let d(g) = i*g - 82*g - 3 + 2. What is d(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.2. Let o = 26.4 + -10.8. Let n = 16 - o. Which is the nearest to v? (a) n (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14365318 rounded to the nearest ten thousand?\nAnswer: -14370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*b + 1982 - 6495 - 4511 = 0 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 < 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjje when four letters picked without replacement from {h: 4, e: 2, m: 4, v: 2, j: 5}.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y + 1047*y**2 - 39*y - 351*y**2 + 962*y**2.\nAnswer: 1658*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8561*h + 8561*h - 47*h**2 - 10*h**2 - h**2 - 13*h**2.\nAnswer: -71*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 19.4\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -267982*v - 535956. What is r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.16 and 10.48.\nAnswer: 10.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 14\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*u + 8768 = 191*u - 143*u for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/105 + f**6\/60 + f**5\/10 - 5*f**4\/12 + 2*f**3\/3 + 3*f**2\/2 - f. Let r(v) be the first derivative of t(v). Factor r(s).\nAnswer: -2*(s - 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o + 39659 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 + 3.04. Let j = -2 + 4. What is the second smallest value in -1, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 334366 and 48537?\nAnswer: 3009294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.99999976. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n. Suppose -u - 2 = -n. Let q be (-1 - -1)\/((-1)\/1). Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (1 + 0))*-10. Is c\/5 + 3 - -268 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 + 5*h**2\/2 - 2*h + 18. Determine j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.812979ng to grams.\nAnswer: 0.000000008812979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5420266 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -11 - 121. Suppose 40 = 5*a + j, a + 65*j - 27 = 61*j. What is the remainder when z is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -24*m**2 + 48*m**2 - 21*m**2. Let h(c) = 10*c**2. Give h(s(k)).\nAnswer: 90*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l + 28. Let d(a) be the first derivative of -a**2\/2 - 16*a + 12523. What is d(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -11*a**6\/5 + a**5\/10 - a**3\/6 - 15*a**2 + a + 20. Find the second derivative of c(b) wrt b.\nAnswer: -792*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {q: 2, u: 2, r: 2, b: 1, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4\/3 (b) 4\/5 (c) -357 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 8 - 0. Sort l, 0, -4 in decreasing order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 9. Let g be j(-5). Suppose -g*f = -27 - 13. Calculate the greatest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656 divided by 29.\nAnswer: 656\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1732 - 1067. Calculate the greatest common factor of 266 and s.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 1. Let o(j) = -3*j - 1. Let z(h) = 3*o(h) + 5*v(h). Let y(w) = -w - 1. Give 2*y(p) + z(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/231 and ((-4613)\/462 - -10)\/1*316\/(-2).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z)\/(z\/(z**(-6)*z))*z*z*z\/(z\/(z**(-6)*z))*z*z*z*z**(-1\/5) assuming z is positive.\nAnswer: z**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 592064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t + 32. Let v be x(2). Solve -p - 3*l - 14 = 0, p + v*p = -4*l - 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58505135*l**4 - l**2 + 2276748*l - 7.\nAnswer: -1404123240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 0*b + 0*b)*(-2*b + 5*b - 2*b) - 4 + b**2 + 4 + (3*b - 3*b + 6*b)*(-58*b - 59*b + 107*b) to the form r*b + t + j*b**2 and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -67. Calculate the remainder when 351 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 4, o: 3, t: 1, m: 5, p: 1}. What is prob of picking 2 m, 1 p, and 1 t?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765, -769, -773, -777, -781, -785?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*h + 112*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 220.\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 767, 3064, 6893, 12254?\n\"Answer: 766*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-21)*((-28)\/780)\/(88\/(-880)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*a*m**2*x - 46*a*m**2 + a*m*x*y + 3*a + 6*x*y - 23*y wrt x.\nAnswer: -48*a*m**2 + a*m*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -2)*(-87)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. Suppose -20 = -0*k - a*k. Suppose 0 = -3*i - 0*u + k*u + 14, -3*i - u = -4. Solve -2*n - 6 = -i*w, -4*w + w = 2*n - 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.4774005 to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.17 and -2712.\nAnswer: 14021.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -43, -89, -143, -199, -251?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/c**(-3\/11)))\/(c**2*c*c))**3)**(1\/11) assuming c is positive.\nAnswer: c**(-108\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from {m: 15, n: 5}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(11*(-120)\/(-132))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2976 and 319238?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -394380 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 10\/9, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 20*b + 44. Let i(w) = -27*w + 491. Let a be i(19). Calculate p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxpkk. What is prob of picking 1 x, 1 k, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n**3 - 3*n**3 + 11*n**3 + (-n - 2*n + n)*(n**2 - 3*n**2 + 0*n**2))*(-n**2 - 5*n**2 + 2 + 5*n**2 + 2*n).\nAnswer: 19*n**5 - 38*n**4 - 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(153)*2*2 + sqrt(153)))\/(sqrt(576) + -1*sqrt(576)*-2).\nAnswer: -25*sqrt(17)\/24 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024277945 rounded to seven dps?\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9140 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5722, -11453, -17184, -22915, -28646, -34377?\nAnswer: -40108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*s = -11*c - 175, 3*c + 75 = -810800*s + 810797*s for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 2833*x + 144543. Calculate b(52).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 19. Let t(l) = 2*l + 18. What is 5*t(r) - 4*x(r)?\nAnswer: 2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59.12468 centuries?\nAnswer: 5912.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Let d(f) be the first derivative of -5*f**2\/2 - 8. Give d(i(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -253, -843, -1779, -3067, -4713?\n\"Answer: -l**3 - 167*l**2 - 82*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99) - (1*2*sqrt(99) - sqrt(99))) + sqrt(99))*-6)\/(sqrt(225)*2 + sqrt(225) + sqrt(108)\/sqrt(3)))**2.\nAnswer: 396\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1 + (-7215)\/(165\/(-11)). Let i = 486 - j. Solve -11*r + 8*r - i = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 5*b + 4. Let q(x) = -5*x + 5*x - 3 - 4*x**2 - x + 5*x. Let n(f) = -4*q(f) - 3*u(f). Find the second derivative of n(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1267 (b) -4\/7 (c) -73 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(2 + 1) + 2. Let b = q - 7. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1947 from -1.8.\nAnswer: 1945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 3, g: 5, n: 4}. Give prob of picking 2 t and 1 g.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3200 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2*u**2 - 96*m**2 + 2*m*u + u**2 - 14169 wrt m.\nAnswer: -4*m*u**2 - 192*m + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:45 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18199\/12 + -1520. Find the common denominator of -35\/33 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (477*h - 3740*h + 95*h - 2968*h)*(-h - 4*h + h + (2 - 4 + 4)*(3*h + 2*h - 3*h) + h + 4*h - 6*h) to i*h + w*h**2 + s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -538810134.45374\nAnswer: -538810134.35374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1362083 + -3962083. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109488465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5619)\/(-28095))\/((-2)\/1470)?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + 3*f**3 - 9*f**3)*(-3*f**2 + 19*f**2 - 13*f**2).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10142 less than or equal to -10142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 250. Suppose -b + 14 = -3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175357 divided by -25051\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 - 117*p - 626. Let j be a(-6). Let x(w) = -w**3 + 4*w**2 - 2*w - 2. Calculate x(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75 times 29?\nAnswer: -21.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 12*o + 11. Let x be q(-9). Let y = x + 66. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 56, -4 in descending order.\nAnswer: 56, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (28 - 15 - -5184) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 13\/2*v**2 - 33*v + 16. What is the derivative of f(x) wrt x?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -177 - 116*x**4 - 847 - 1280*x - 21*x**4 - 20*x**5 - 450*x**3 - 131*x**4 - 14*x**3 + 3056*x**2 = 0. Calculate x.\nAnswer: -8, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by -39.\nAnswer: 73\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 719*z - 9 + 1.\nAnswer: 719*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 75*w**2 + 106*w + 56. Determine t(36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17.073 - -0.292\nAnswer: 17.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*i = -2*j + 7*i + 43, -i + 49 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2085789 years?\nAnswer: 0.0002085789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.987 - -66.317. Round i to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 - 4361*q**2\/5 + 8726*q\/5 = 0. What is q?\nAnswer: -4363, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 38*j + 562804. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**4 - 2*s**3 - 22*s**2 + 30*s - 14. Let l(a) = 4*a**4 - 3*a**3 - 21*a**2 + 29*a - 15. Let o(u) = 3*k(u) - 2*l(u). What is j in o(j) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1709112 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzr. What is prob of picking 2 z and 1 r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = -18. Find the common denominator of (-7 + 376\/48)*(-75)\/20 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 60 = -4*j. Let k be j\/((-4)\/(-920) + 0)*-2. What is k rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.3 (c) -4\/7 (d) -1 (e) 1758\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:52 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-6))\/(1 - (-33)\/(-30)). Let i = x - -9. Put 9, i, 0 in decreasing order.\nAnswer: 9, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.56640343 rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213712 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1923*w + 26916. What is u(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/14 and 109\/5423884.\nAnswer: 37967188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 647424 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 2. Let v be y(1). Suppose -6*s = -v*s - 44. Which is smaller: 21 or s?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2502198408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/780 and -17\/4?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 129760 times 0.2?\nAnswer: 25952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 16. Let g(b) = -b - 17. Let h(q) = -q - 12. Let a(c) = -5*g(c) + 6*h(c). Let u be a(l). Solve u = -2*y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 8:26 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/7, -0.2, 6, -2, -53\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5669 minus -113041.101946?\nAnswer: 107372.101946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 35 = -34 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*f - 124*f - 120. Suppose -6 = 9*w - f. Is -7 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 199. Suppose 10*f = 4*c + 9*f - 23, -n = 4*f. Solve 0 = -4*h - c*h - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 6 - 4*c + 7*c. Let j be w(-6). Let l be (-1)\/4 - (235\/(-28))\/5. Do j and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 1, 4*h + 24 = -4*l. Do -5 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from quqwuuwufufuqfuuu?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30\/7 of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27786 = 1460*j - 197*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74979 = -5*h + 463*h - 20285. Solve -57*z + 5*z + h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6864 and 25116.\nAnswer: 1105104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 709680.5t in milligrams?\nAnswer: 709680500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 10)*(-4*l + 5*l - 3*l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tionffoqt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Suppose 15 = -o + 4*o. Let v = 13 + -8. Suppose 17 = -3*h + o*z, h + v*z = 5*h + 16. Let j(d) = 2*d + 5. Give h*j(g) - 4*l(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**3 - f**2 + f. Let j be n(1). Let p = j - 8. Suppose 8*y - 5*q - 100 = p*y, -3*y + 4*q + 59 = 0. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 29*j**2 + 4*j - 76. Is 15 a factor of w(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 13*a**2 - 10*a - 11. What is u(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 24*t**2 - 23*t - 50. Let l be k(-23). Let v = 2 - 4. What is the tens digit of l\/v*2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 411422.6?\nAnswer: 164569.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-12 + 5)*66\/(3 - 25).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1662 by -1986.\nAnswer: -277\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 293700 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 478 times 58\nAnswer: 27724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 888 and 1917672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d - d + 3*d - 2*d - 3*d + 4*d + (2 + 2*d - 2)*(0 - 2 + 1) + 81*d + 211 - 211 + (-d + 2*d + 0*d)*(3 - 1 - 4).\nAnswer: 74*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 31*x**2 + 487*x + 562. Determine j(-17).\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjk. Give prob of picking 1 k and 2 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeieiegeeeeeee. Give prob of sequence ge.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -3*l**4 - 2*l**3\/3 - 99*l**2 - 57*l. Find the first derivative of t(p) wrt p.\nAnswer: -72*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 59, 68, 81, 98, 119, 144?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 times -0.2?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 87591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 28 = 34*o. Solve o*n = n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 1404 = -2*x. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-1)\/(160\/(-328)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(6\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppn when four letters picked without replacement from {p: 15, n: 3}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = n - 39, 0 = -3*n - 2*n - 2*p + 126. What is the least common multiple of n and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2*o + 1. Let p be u(-3). Let c(a) = -3 - p*a - 3 + 6*a + 4. Give c(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617, 485, 3245, 8419, 16763?\nAnswer: 29033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531657.\nAnswer: 3, 7, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*x**2 + 234*x - 235*x - 3*x**4 + 0*x**2 + 34*x**4 in the form u*x**4 + h*x + w + j*x**3 + p*x**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 25044 (c) 1\/6 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**6 + 10121*g**5 - 251*g**3 + 3*g**2 - 12754*g - 125 wrt g.\nAnswer: -840*g**3 + 607260*g**2 - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164668 * 12.4.\nAnswer: 2041883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -416 in ascending order.\nAnswer: -416, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j + 5*j)*(6*j + 0 - 7*j + 1).\nAnswer: -7*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 154764206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867119 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 9 (b) -0.25 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 58, 88, 118?\n\"Answer: 30*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4649 + 274*y + 4655 - 9295.\nAnswer: 274*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-336)\/320)*12\/(-40).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311859*x + 3*s - 9 = -311862*x, -2*x + 6 = -2*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56256531 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -11*p**3 + 27*p**2\/2 - 8. Find the second derivative of y(r) wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.4702 + -58.68435. Let s = u - -41.2. Round s to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848010 is divided by 13200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501 - -2?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Let n(q) = 3*q**2 - 2*q. What is the lowest common multiple of 18 and n(h)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 698520 and 17463.\nAnswer: 698520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/6*18\/(-420))\/((-1)\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*s + 8740 - 21554 = -76*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.134?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v - 1. Suppose 0 = 5*j - 6 + 1. Let x be 8\/(-4) - -1 - j. Let c be (x + 0)\/((-2)\/4). What is t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 3*w**5\/5 + 13*w**4 + 141*w**3 + 17. Find the third derivative of x(y) wrt y.\nAnswer: 72*y + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21224 - -67?\nAnswer: -21135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3942144 by -82128.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 + 530. Let m = r + -217.0000198. What is m rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d**(-1\/3))\/(d**(1\/5)*d**0))\/((d*(d*d\/(d\/(d*d\/(d*d\/(d*d**(1\/3)))*d)))\/d)\/((d\/d**(-2\/3))\/d)*d**(-4)\/d*d**(-5)) assuming d is positive.\nAnswer: d**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 60d?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/((-28)\/21). Let o be (19\/38)\/((-25)\/(-4)*u). Is -1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38182129*u**4*v**2 + u**3 - 72*u**2*v**2 + u**2*v - 2*u*v**2 - 3125*u*v - 6*u - 2*v**2 wrt u.\nAnswer: 916371096*u*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3754 and 4?\nAnswer: 7508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1064*t + 516*t + 588*t + 3*t**2)*(-t**2 + 0*t**2 + 0*t**2).\nAnswer: -3*t**4 - 40*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*w - 3696 = -w - 84*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4558 and 17302082?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7108, -7101, -7090, -7075?\n\"Answer: 2*y**2 + y - 7111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2135*m + 325?\nAnswer: 2135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 214816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5596860.\nAnswer: 2, 3, 5, 93281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 6*r + 2*r**2 - 5*r + 25*r in the form o*r + d*r**2 + q and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -6. What is the smallest common multiple of 10 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 2*m. Let r(i) = -5*i**2 + 11*i. Let u(k) = 22*h(k) - 4*r(k). Let x(o) = 5*o. What is u(x(s))?\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292 - 56 - 88 - 8*b to the form s + p*b and give s.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -0*i - 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 + 1) + (-26)\/(-13). Suppose 5*d = 10, 0*d - 1802996 = 3*u + t*d. Round u to the nearest ten thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (11 + (4 - 0) - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + (-510)\/(-70) + ((-77314)\/(-45255) - 2) and -31\/27?\nAnswer: 58185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -21*u. Let y be 6 + (9\/3 + -4 - 3). Let o(n) = 45 - 25 - y*n - 20. Give o(l(b)).\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.093, 5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r**0\/r)\/r)\/r)\/(r**(3\/10)\/r))**(2\/17) assuming r is positive.\nAnswer: r**(-3\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1225) + sqrt(1225)*3*-4))\/(-5*sqrt(112) + ((sqrt(245)\/sqrt(5))\/sqrt(7) - sqrt(7))) + 0.\nAnswer: -33*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 30 = 6. Let t(i) = 9 - i - 3 - y. Let f(x) = -26*x**2. Give t(f(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*w - 12 + 46 = 0, -w - 59 = -5*c. Suppose 9*n - c*n = -20. Calculate the lowest common multiple of n and 58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1219680 divided by 495?\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - (-47 + 25) - -15)*(-2)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179982 and -0.19?\nAnswer: 34196.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35633661.65 rounded to the nearest 100000?\nAnswer: 35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*-3*5*-5)\/(sqrt(972)*2 + 6*(sqrt(12) - 2*sqrt(12))).\nAnswer: 25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 121 - 176 = 0. Let q(u) = -7*u + 244. Let f be q(9). Let s = 198 - f. Calculate the remainder when l is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5529 - 0.646. Let y = 0.0135 - w. What is y rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 19 = 5*i + 6, 0 = 4*f - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (382*l**2 - 65*l**2 - 67*l**2)*(121 - 126 + 139) as o*l + h + k*l**2 and give k.\nAnswer: 33500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 0.1.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -25*z + 227. Determine f(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 17. Suppose 3*s - 6*s + 30 = c. Put -1, s, -2 in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let o(y) = -603*y**2 + 6. Let l(i) = 1608809*i**2 - 16011. Let v(f) = 2*l(f) + 5337*o(f). Determine v(z(x)).\nAnswer: -2372*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/27 (b) -1\/4 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 399445772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 17)*(1 - 6 + 4)*(4*n**2 - 2*n**2 - 4*n**2) + 3*n + n**2 - 3*n)*(12 - 1 - 6 + (1 + 0 - 2)*(0 - 2 + 1) + 3 - 2 + 0)*(-3 - 4 + 5).\nAnswer: -406*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 3364?\nAnswer: 3363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -24*v**2 - 5*v + 5. Let q(g) = -127*g**2 - 83*g**2 - 8*g + 8 + 174*g**2. Give -5*q(u) + 8*z(u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 39 = -w + 3*p, -2*w + 5*p = 39. Let v be (-49)\/w - (-3 - (-3 + 1)). Solve 6*j - 4*j = -v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12075*x**4 + 4*x**3 - 2*x**2 + 128170 wrt x.\nAnswer: -48300*x**3 + 12*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 10*m + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-516)\/56)\/(6\/(-4)). Let v = u - -28\/3. Let f = v - 365\/91. Sort -0.4, -1, f, 0.01 in ascending order.\nAnswer: -1, -0.4, f, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.6 + -49. What is y rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 21 + 79 + -71?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 492694786 + -220140220. Let p = -145354570 + b. Let j be (-1)\/(-2) - p\/(-8). What is j rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1) + -2 + 0. Let g be -8*(d\/6)\/1. Suppose 2*c + 1 = 3*q + g, 0 = c + 2*q - 5. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 1597*q + 633541. Give m(735).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -52555190.78409 - -0.1\nAnswer: -52555190.68409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41096\/96 + 12\/18. Let l = m - 429. Which is the biggest value? (a) l (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 6 + 8 - 1. Factor -8*j**3 - 807*j**4 + d + j**5 + 809*j**4 - 6.\nAnswer: j**3*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let c(k) be the second derivative of -k**4\/12 - 13*k**2 - 15*k. Determine c(m(h)).\nAnswer: -h**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4505545 by 5.\nAnswer: -901109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4590)\/(-945))\/(4 - 2 - 9\/7). Factor 2\/5*w**4 + 78\/5*w - 8 - k*w**2 - 6\/5*w**3.\nAnswer: 2*(w - 5)*(w - 1)**2*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 37*g - 37 + 57*g**2 + 23 - 60*g**2 - g. Determine b(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 262.2 - 156.2. What is the nearest to 2 in l, 1\/6, -2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 1941885?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfj when three letters picked without replacement from {j: 5, f: 4, u: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 - (6 + -13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-32)*(-560)\/(-490).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28110, 56223, 84336?\nAnswer: 112449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*u - 29, -188*u = z - 183*u - 17. Solve z*h + 148 = -0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025272384 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14815, 29620, 44425, 59230, 74035, 88840?\nAnswer: 103645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 176*g - 2088. Give q(-74).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 6, b: 1}. What is prob of picking 2 u and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56940673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 divided by 220?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z + 4. Let n = 8 - 4. Let f(s) = -s**2 - 3 - n*s + 3*s + 3*s. Suppose -11*u - 3 = -12*u. What is u*d(o) + 4*f(o)?\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k - 2*g + 46 = 0, 10*k - 5*k - 2*g - 3 = -0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 2}. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w + 1. Let c(t) = -t**2 + 11. Let b be c(-4). Let r be 6\/4 - b\/10. Let o(p) = -2*p**3 - p**2 + p - 2. Calculate r*h(a) + o(a).\nAnswer: -2*a**3 + a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10060 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h - 6. Let k be a(5). Solve 5 = -u - k*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 9*v + 9. Let a(s) = s**2 + 4*s - 4. Let r = 2189 + -2193. Suppose -4*p - 3*g = p + 54, 0 = -5*g - 15. Calculate p*a(o) + r*y(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let p(y) = -13465*y**2. Give m(p(r)).\nAnswer: 13465*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let q(m) = 0 - m**3 + 5*m**2 - 2*m - 2*m**2 + 1. Let f be q(1). Solve 2*c + 3*w - 6 = -f, -u*c - w = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*j - 16, -3*r = 12*j - 16*j - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944667919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4813434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -72333072 divided by 1722216?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/(15\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -52. Solve -a*p = 4*j - 3*j, -j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.48? (a) -4 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9304507.61.\nAnswer: -9304509.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 12, 5, 52, 2, -5 in ascending order.\nAnswer: -5, 2, 5, 12, 30, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*m + 5*f - 2, -f = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587091, 1174194, 1761305, 2348424, 2935551?\nAnswer: 3522686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 11*t**2 + 10*t + 5. Let i be u(10). Let o(c) = 3921*c**3 - 5*c**2. Let a be o(i). Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 9. Let v(j) = -3*j**2 + 764*j - 10. What is v(a(u))?\nAnswer: -3*u**2 + 710*u + 6623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/11 - 196*r**4\/11 + 1702*r**3\/11 + 592*r**2\/11 - 4696*r\/11 - 3392\/11 = 0. What is r?\nAnswer: -106, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 7*y = 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from flflllmmmlmmllmlmlm?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -48*z + 45*z. Suppose 5*j + 149 = -31. Let x = j + z. Is x at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/5)\/((-2)\/(-10)). Let w(y) = 12*y + 4. Let n be w(q). Let t be 0 + n\/(2 + -6). What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4003173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**4 - 9*a**3 + 11*a**3 + 17*a - 15*a - a**2 + 2 + 9*a**4 to the form g*a**2 + i + h*a**4 + r*a + j*a**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2119485 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1152 = -2*h, 1351 + 84 = 5*w + 5*h. Suppose -c + w = u, 0 = 2*c - 2*u + 85 - 651. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/2 (b) 0.035 (c) 3\/8 (d) 5 (e) -4 (f) -0.12 (g) -1\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2542, 2802, 3030, 3208, 3318, 3342, 3262?\nAnswer: 3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (13 + -1) - -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -15380?\nAnswer: 15375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**2. Let b(t) = 0*t + 0*t + 1724*t**2 - 1729*t**2. Calculate b(q(z)).\nAnswer: -180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2453896, 4907802, 7361708, 9815614?\nAnswer: 12269520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*a - 15, 5*r + 6 = -3*a - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 8:21 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*z - 18, 22 = 4*b + 2*z - 6. Suppose 2*t - b = -2*t. What is the third derivative of -3*g**3 - 43*g**2 + 36*g**t - 5*g**3 wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3241*z + 1095*z + 1090*z + 12*z**2 + 1056*z + 8*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162322b0 + -4?\nAnswer: -162322b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(2 + 1 - 5)*(k + k - 4*k + 2 + (-1 + 4 - 2)*(-5*k - k + 3*k)) to the form d + a*k and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 5*k - 2640 = 4*y, -4*y = 4*k - 2128. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(192)*3 - sqrt(3)*3*-5 - (sqrt(27) - (sqrt(27) + (sqrt(1728) - (-1 + sqrt(1728)))) - (sqrt(972) + 1)))**2.\nAnswer: 1140*sqrt(3) + 48755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let a be 7\/(21\/12)*-2. Let w(p) = -2*p - 8. Let c(g) = a*u(g) - w(g). Let j(n) = 768 - 768 + n. Calculate c(j(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 - 57*k**4 + 384*k**3 - 1068*k**2 + 1008*k = 0. Calculate k.\nAnswer: 0, 2, 4, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 26*p + 21. Let g be c(-27). Let b be (-54)\/9*(-4)\/g. What is the nearest to -2\/5 in 3, 3.4, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*g**3*t + 105*f**2*g**2*t - 104*f**2*t - f*g**2 + 53482*g**3 wrt g?\nAnswer: 12*f**2*t + 320892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j**2 + 4*j**2 + 0*j**2)*(-2 - 2 + 5).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + 0 - (sqrt(300) - -1*3*sqrt(300)))**2 + 3.\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -55, 1.37?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbmwbbbtmbmstb. What is prob of picking 1 b and 1 t?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*56178794.\nAnswer: -44943035.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alllalaallaal. Give prob of sequence lal.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 + 2*t**3\/3 - 32*t**2\/3 - 32*t\/3.\nAnswer: 2*t*(t - 4)*(t + 1)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.746 + -1.254. What is the third biggest value in t, 2\/11, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.21 + 1.7. Let d = y - -0.48. Which is the third biggest value? (a) 2\/9 (b) d (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeeege. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (-375)\/(-4) + 2. Suppose 3*m - 15*m = -u. Suppose 19*r - m = 15*r. Solve -r*q = -4*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 8) in base 16?\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519275679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 1405*b + 294700.\nAnswer: -5*(b - 421)*(b + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 20*l - 15*l + (3 - 7 + 3)*(-3*l + 0*l + l) - 2*l - l + 0*l.\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjfj. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0771 rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 242. Let a = c - 24. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3419037 hours in weeks?\nAnswer: 0.0734637125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6*t - 2*t - 20 = 0, -60 = -3*u + 4*t. Suppose -2*a + 20 = 3*x, -2*a + 5*x + 4 = u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**5\/540 + 11*y**4\/108 - 121*y**3\/54 - 24*y**2. Factor u(j).\nAnswer: -(j - 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*u = 3*q + 11, 3*u = -2*q + 15. Suppose 4*w = -5*i + 41, 3*i + w = q + 10. Solve -4*y - 2*b = 18, -2*y = -0*y + i*b + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -7*j + 240. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6567000 to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -3)\/((9 - 3) + -4). Let c(o) be the third derivative of o**5\/60 + o**4\/8 - o**3 + o**2. Let q be c(v). Solve -b - 2*b - q = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 15*q - 120 = 0. Suppose -57*s + q*s - 66 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = i - 19, -4*w = -3*i - 1 - 6. Put 4, -2, i, 5 in decreasing order.\nAnswer: 5, 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooomooooo. What is prob of picking 4 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/2 + 149*v**4\/2 - 3*v**3\/2 - 449*v**2\/2 - 149*v = 0. Calculate v.\nAnswer: -149, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - q)*(-3 + 5 + 0) + 10*q - 6*q + 5*q + (2*q - 4*q + q)*(2 - 5 + 2).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 1498433169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 3692509385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0 + 1\/420*i**7 + 1\/12*i**4 + 0*i + 0*i**3 - 1\/240*i**6 + 17*i**2 - 1\/30*i**5. Suppose q(m) = 0. Calculate m.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = -4*a, -4*z - 3*a - 2*a + 3 = 0. Suppose z*j = -j + 18. Calculate the remainder when 11 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 25. Is p(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 2*u**2 - 4*u**2)*(4 - 5 + 3) - u**2 - 4 + 4 - u + 4*u + 9308*u**2 - 9307*u**2.\nAnswer: 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -201, -179, -157, -135, -113?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**4 - 18*d**3 + 3*d**2 - 9. Let w(f) = -6*f**4 + 36*f**3 - 7*f**2 + 21. Let m(u) = -7*o(u) - 3*w(u). Factor m(r).\nAnswer: 2*r**3*(2*r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnni. What is prob of sequence in?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) - (sqrt(11) - 3*sqrt(396))).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**4*s**3 + 1005*c**3*s**3 + c**2*s**2 - 325*c**2 + 110*s**3 wrt c?\nAnswer: 432*c*s**3 + 6030*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:38 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267 is divided by 1064?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 473.65042 to one decimal place.\nAnswer: 473.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 38, 84, 156, 260, 402?\n\"Answer: o**3 + 4*o**2 + 7*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83678c (base 14) to base 7.\nAnswer: 52463235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9384 and 2802960.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 3. Let n = -5 + 1. Let v be b(n). Suppose 2*j = -3*y + 3, v*j - 14 = -4*y - 3. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let j be ((-34)\/(-30) - 1)\/(8\/10). Let u(b) be the second derivative of -j*b**4 + b + 0*b**3 + 0 + 0*b**2. Give i(u(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29197255 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 4, x: 9, r: 1, q: 5}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846835 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2140*f**3*w*y + 3*f**3*y - 4*f**2*w + 2608*f*w - 3*f*y + f + 24*w wrt f.\nAnswer: -12840*f*w*y + 18*f*y - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98112*w**5 - 3*w**4 - 5*w**2 - 4695049*w?\nAnswer: 1962240*w**3 - 36*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - 0.43. Which is the nearest to 1? (a) 1 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*0.06\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 - 112. Let h(l) = a*l + 651*l + 646*l - 3 - 250*l. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 70. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -486, 1081?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (5 + -21)) + (8 - (6 - -3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21221 (base 4) to base 10.\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(170) - (sqrt(170) - sqrt(170)*1))\/sqrt(10) - sqrt(17)) + (sqrt(612) + 0)**2*3.\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or -126?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*l - 2336 = -630*l - 2*p, 2*p + 2344 = 5*l. Calculate the remainder when l is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let z = -51 - -57.5. Let f = -6.7 + z. Which is the closest to f? (a) r (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/14 - -10 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/48*-14*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1015 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -97. Let p(v) = -2*v**2 - 18*v - 14. Let z be p(-8). Let n be 3*(z + 1)*12\/54. Calculate the greatest common divisor of o and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51979619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -1064. Suppose 0 = 5*f - 2*b + 894, -143*b + 140*b = 3*f + 507. Let c = f + q. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 26*o**2 + 3*o**2 + 8*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = j - 209 + 199, 2*x - 16 = 2*j + 6*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 11, 465\/88, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, -10, 4, -0.1.\nAnswer: -10, -5, -0.1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -24*(25\/(-20) + (-2)\/8). Suppose -477 = -d*c + 33*c. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77188.8 - -90354. Round v to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73\/236 - 63517\/3540. Let d = -35\/2 - z. Does d = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 20 - (-9 + 45) - (-10 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 473983270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194481*t**3\/4 + 38310993*t**2 + 1390016*t + 12608.\nAnswer: -(t - 788)*(441*t + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3073453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - z + 11 = -0*z, -47 = -4*y - z. Let u = y - -12. What is the units digit of u*((-21)\/6 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*c**6 + 5*c**2 + 4*c wrt c?\nAnswer: -3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 17*c - 20. What is the tens digit of w(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 - 3*s + 14. Let t(r) = -11*r. Let w be t(1). Let y(j) be the second derivative of -j**4\/4 + j**3\/6 - 5*j**2\/2 - j. What is w*y(p) - 4*o(p)?\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t. Let a(n) be the second derivative of n**3\/3 - n. Let i be (-144)\/14 + (-4)\/(-14). Let f(g) = i*a(g) - 3*v(g). Let r(m) = -2*m. What is f(r(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/15 + 1032*w**2. Let x(y) = -17*y + 11. Let u(h) = 6*h - 4. Let f(k) = -11*u(k) - 4*x(k). What is p(f(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + s + 3. Let k be h(0). Suppose 3*r + 2*w = -w + 3627, 0 = k*w - 6. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/7365?\nAnswer: -8\/7365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24131.48 millimeters to meters.\nAnswer: 24.13148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709 = -64*c + 55*c. List the prime factors of c.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(7) - (0 + sqrt(28)\/sqrt(4))) + 5)**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/17, -0.4, -0.21 in descending order.\nAnswer: 2\/9, -2\/17, -0.21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -45.8. Let g = 1 - 4. What is the biggest value in w, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scdkpffs. What is prob of sequence kpc?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 718*a*z - 48*z + 10 wrt a.\nAnswer: 718*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -917.3191358 rounded to 0 dps?\nAnswer: -917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1\/5))**(-35))**(-4))**(-31) assuming a is positive.\nAnswer: a**(-5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Let n(p) = -16*p. Let x(c) = 4*n(c) - 22*z(c). Let f(k) = -37*k**2. Give f(x(v)).\nAnswer: -148*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.0989mm in meters?\nAnswer: 0.0840989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 62*s - 59*s + 4*s - 120*s to the form z*s + q and give z.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 12. Let m be (-10)\/(-8) - (-1)\/z. Suppose -2*t = m + 1. Which is bigger: t or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30101071 is divided by 464?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 4:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/4 - 11763669*k\/4 + 11763671\/2 = 0.\nAnswer: -11763671, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 130*v - 277*v + 142*v. Let p(w) = 8*w + 2. Calculate p(z(s)).\nAnswer: -40*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -55. Let p = r + 4.7. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 7*z + 8. Let h be r(-7). Let j = h + 4. Suppose p + p - j = -2*k, -4*p + k + 44 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 + 3*m - 8. What is z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(250)\/sqrt(2))**2 + (-5*(sqrt(5) + 0 + sqrt(5)) - sqrt(30)\/sqrt(150))**2.\nAnswer: 726\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 - 2*p**2 - 5*p**2)*(2 - 4 - 2) in the form s + m*p**2 + z*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p - 11*p)*(2 + 1 - 4)*(2*p - 2*p**2 - 2*p)*(-3*p + 0*p + 4*p).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.9311 - -12.0311. Let w be ((-1908)\/(-10))\/(63\/(-30)). Let p = w - -91. Which is bigger: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*z)\/z**(1\/9)*z**(2\/29)*z*z*z*z**(-5\/4))**(-4\/5) assuming z is positive.\nAnswer: z**(-2027\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Let f = n - -1. Suppose r - g = 5*r - 49, -3*r - f*g + 40 = 0. Solve 0 = 5*d - d - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1 + sqrt(468) - sqrt(468)) + -5.\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 5, -5, 0.2, 3.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036210444 to 5 dps.\nAnswer: -0.03621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**5\/25 + 2*k**4\/5 + 8*k**3\/5 - 16*k**2\/5 - 16*k + 693. Find d, given that t(d) = 0.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768179.\nAnswer: 17, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 471*h**3 - 1740069*h**2 - 1762942779*h - 459906522624 = 0. What is h?\nAnswer: -669, 1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 104*b - 140. Let v(c) = c**2 + 53*c + 70. Suppose 10*m - 32 = 2*m. Let s(t) = m*n(t) + 7*v(t). Find u, given that s(u) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 926959*s + 1230. Let h be q(30). What is h rounded to the nearest one hundred thousand?\nAnswer: 27800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*u = 6 - 21, -20 = -3*g - 4*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802\/136340*(-20)\/(-2).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2941144972 to the nearest integer?\nAnswer: 54232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/84 and 75\/2128?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 2, m: 2, z: 1, v: 4, i: 1}. What is prob of sequence nmim?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -184*k**2 + 62*k**2 + 70*k**2 + 61*k**2. Let a(n) = -11*n. Give a(p(z)).\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -9*y + 195. What is the greatest common divisor of y and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00628991 rounded to five dps?\nAnswer: -0.00629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5095 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**3 + 17*u**3 - 4*u**3 - 3*u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6)*-6 - sqrt(19) - (sqrt(171) + -4))**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -3461?\nAnswer: -34.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56839599*d - 78982725.\nAnswer: -56839599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-71 - (-19 + -110))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 - -17065583.0451?\nAnswer: 17066090.0451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21920.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 1654*i**3 + 52404*i**2.\nAnswer: 2*i**2*(i - 794)*(i - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3*u**3 + 2*p**3 - 2*p*u**3 - 39*u**3 + u wrt p.\nAnswer: -3*p**2*u**3 + 6*p**2 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3\/(-17)) - -1. Suppose -3*l + 4 = -4*y, l + l - x = -5*y. What is g in -4\/7*g + 2\/7 + 2\/7*g**y = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1\/2*v**2 + 0*v + 0*v**5 - 2 + 2\/21*v**3 + 1\/28*v**4 - 1\/420*v**6. Let y(t) be the second derivative of g(t). Solve y(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 26\/7, -11, 0.1, 2 in ascending order.\nAnswer: -11, -7\/4, 0.1, 2, 26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and 1.2.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**3 - 90*h**3 + h**3.\nAnswer: -77*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.69 - -0.31. Let s = q - 53. Which is the closest to -1? (a) -1 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*k - 4247 + 14959 = -237256. What is the greatest common divisor of 135 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -2\/9*j**4 - 4\/45*j**6 + 0 - 1\/63*j**7 - j - 1\/5*j**5 + 0*j**2 - 1\/9*j**3. Suppose a(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 - 6*b**3 + 55*b + 56*b - 114*b + 1 + 6*b**2 - 2*b**3 to the form p + n*b**3 + z*b**2 + y*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*29\/(-1740))\/((-3)\/3*6\/210).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260335 by 4.\nAnswer: -260335\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + s = -11, 3*c + s - 3*s - 16 = 0. Suppose 5*l - 3 = 2*l. Let o = l + c. Solve -o*n + 11 = -b + 2, -b = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2694, -2712, -2738, -2772, -2814, -2864?\n\"Answer: -4*c**2 - 6*c - 2684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -791989*i**3 + 956607 wrt i?\nAnswer: -2375967*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8476350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l)\/(l\/l**(-5))*((l*(l\/(l**1*l))\/l)\/l*l)\/(((l*l**(-3\/7)*l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 7 - 1. Let a be -1 + -1 + (1 - 0). Sort 5, l, a in increasing order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36789717*x**3 - 73123237*x**2 wrt x.\nAnswer: 220738302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 39814*x + 39814*x - x**2 - 3.\nAnswer: -2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -784 + 799. Solve -22*x = -19*x + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvvrvsvsrrrr. Give prob of picking 2 s and 1 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 250228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7637 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78312*y**3 + 2*y**2 - 5*y - 577?\nAnswer: 469872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.5 + 114. Let h = 1.59 + -1.19. What is the fourth biggest value in -2, 36, h, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3682.33 + -3682. Which is smaller: s or -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 600113 and -5?\nAnswer: -3000565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 4) + (-3 + 5 - 7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*p + 2*p = -76, -2*m - 5*p + 24 = 0. Calculate the remainder when 60 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16877256206 rounded to six decimal places?\nAnswer: 0.168773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*g = -0*v + 7, 3*v + g - 14 = 0. What is the first derivative of -17 - v*l + 6 - 2 - 5*l wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010000011 (base 2) to base 14\nAnswer: 177d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 2520*k**2 - 220915*k = 0. Calculate k.\nAnswer: 0, 113, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206069 - 2*z**2 + 412013 - 206006 + 3*z**2 - 4*z**2 + 2*z**2 + 2*z**2 + 4 - 4 + (-z**2 - 2*z**2 + 5*z**2)*(-8 + 3 + 3) + 4*z**2 - 2*z**2 + 0*z**2.\nAnswer: -z**2 - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 197.73 (b) -1 (c) -18 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200102 (base 3) to base 2.\nAnswer: 10010000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -1, 4, 0.09, -757?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4716, 19018, 42846, 76194, 119056, 171426?\nAnswer: 233298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1305, -1303, -1301, -1299?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 - ((-105)\/6 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149961 and 47673316?\nAnswer: 7141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = -f, -16*d = -f - 11*d - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157588 = -4*s + k, 136*s - 3*k - 196978 = 131*s. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717295767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:31 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/180 + 58*h**4\/3 + 26912*h**3 + 58*h**2 - 15*h. Suppose j(a) = 0. What is a?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(32\/(-144))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -172. Let h = 52 + w. Calculate the remainder when 96 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6081.7 and 477710.91?\nAnswer: 483792.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5*z**4\/12 - z**3\/3 + 2*z**2 - 12*z. Let x(m) = 25*m**2. What is x(u(v))?\nAnswer: 2500*v**2 + 1000*v + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3\/3 - 4*b**2 + 3*b + 47. Let m be g(8). Solve 5*v - 4*j = -36, -3*v = -0*v + m*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*n - n - 142, 3*n + 101 = -h. Let c = 146 - 95. Let t = n + c. What is the least common multiple of t and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3183 - -3195. Solve -15*l + 17*l + y = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/91, 0.5, 2\/21 in descending order.\nAnswer: 0.5, 2\/21, -2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 1\/6, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-128)\/(-20) + 2\/(-5). Let b be m\/(-42) + (-43)\/(-7). Find the third derivative of 9*t**b + 5*t**2 - 648 + 648 wrt t.\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i + 15 = 0. Let n = -22 + 23. Suppose -i*b + 14 = -n. Solve -b*t = -l + 10, 6*t - 4*t = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/2551 or 0?\nAnswer: -63\/2551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.578 in 1\/2, -1.68, 63, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1639891433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 = -2*f - 3, 5*j - 3 = 3*f. Suppose 0 = 3*h - 10 - 11. Let y = j + h. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.88062 + 0.10272. Let w = 268.23 - 270. Let a = w - p. Round a to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -1903, -3048, -3121, -1240?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -119700000 to the nearest 1000000.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 166, 358, 618?\n\"Answer: 34*n**2 + 22*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 10 - 10 + 0*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 + 2*y**2 - 3*y + 4. Let v(a) = -5*a**3 + 3*a**2 - 4*a + 5. Calculate -3*b(f) + 2*v(f).\nAnswer: 8*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -54. Calculate the lowest common multiple of k and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 41. Let l be -29*2\/(-18)*(15 - 24). Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3)\/((-9)\/3). Let n = 14 - k. Suppose x - n = -3. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 2. Let b(p) = -p. Suppose 54 = 5*t + t. Let s = t + -1. Let d be s - 0 - 51\/17. What is d*b(h) + m(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -123, -212, -301?\n\"Answer: -89*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5801 is divided by 274?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110110001010 (base 2) to base 15\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 438*r + 214. Calculate c(109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6)*24\/21.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6893)\/(-1342))\/113)\/((2\/2)\/6)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(2914 + 2666*s**3 - 2914) in the form o*s**3 + c*s**2 + m*s + p and give o.\nAnswer: 5332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 653 + 103. Suppose -4*x = -11*x - i. Which is greater: -20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 44*u\/9 + 170\/9.\nAnswer: 2*(u - 17)*(u - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/104690 and -49\/115159.\nAnswer: 1151590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52708*d**4 + 27917.\nAnswer: -210832*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from dmdcmddcmcmddmmmm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*d = 193*d - 165 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/6 - 5*j**2\/2 + 20*j. Determine b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2800*b + 2370. Let c(h) = -2780*h - 2370. Let g(m) = 3*c(m) + 4*n(m). Find the first derivative of g(z) wrt z.\nAnswer: 2860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*f + 143594 = 0, -1943*f + 1948*f - 287183 = -2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9043645mm to nanometers.\nAnswer: 904364.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -5. Suppose -b = -4*g + 13, -4*g + 5*b + t = b. Let z(j) = -4 + 0*j**3 + j**3 - 2*j**2 - 5*j + 4*j + 1. Calculate z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 t when four letters picked without replacement from {t: 1, c: 2, r: 4, q: 1, m: 2, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29754, -29942, -30250, -30672, -31202, -31834, -32562?\nAnswer: -33380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + 15 - 707*f + 706*f in the form s + w*f and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -5242*l**5\/5 + 5*l**3\/3 - 49*l**2\/2 - 3*l - 7644. What is the third derivative of x(d) wrt d?\nAnswer: -125808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y. Let v(o) = -6*o**2 - 760. What is g(v(c))?\nAnswer: 12*c**2 + 1520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/4 + 2*v**3\/3 - v**2\/2 + 3*v - 6. Suppose 5*s + 16 - 1 = 0. What is o(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8040, 16140, 24240, 32340?\nAnswer: 40440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*x = 342*x + 39536 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a. Suppose 9 + 7 = -4*d, -3*c - 5*d = -115. Let w(i) = c*i**2 - 93*i**2 + 51*i**2. Calculate k(w(o)).\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:34 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m + 4*c - 954 = 0, -4*c = -4*m - 1268. Calculate the remainder when m\/40*-4 + (-4)\/10 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 11) in base 13?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/83 or 1?\nAnswer: 21\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 2. Let h(j) = -6*j - 6. Let s = 73 + -83. Determine s*k(r) - 3*h(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**4 + 6*z**2 - 49 - 54 + 104 - z**3 - 2*z**2 to a + u*z + m*z**4 + b*z**2 + d*z**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3 + f - 2 + 2*f. Let w be h(1). Let r = -8443\/11 + 767. Which is the biggest value? (a) r (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0 + 3*w**2 + 1 - 5*w**2. Let m be (-20)\/(-10) - (-6)\/(-2). Let q(s) = -s**2 + 1. Let b(g) = m*y(g) + q(g). Let t(o) = 2*o**2. Calculate b(t(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.029 + -0.029068. Round j to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2793 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9018528 (base 11) to base 4\nAnswer: 330322322311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3820*m**3 - 3105*m**3 + 6928*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 24 = o. Suppose -p = 2*p - o. Suppose -3*k = 9, -a + 8 = -2*k - p. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 8*j**2 + 2*j + 17. Let n be k(-6). Let t = n - -63. Let h be (0 + t)\/(8\/(-28)). Calculate the greatest common factor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 - -197. Let c(t) = 2*t**2 + 16*t + 5. What is c(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26938 = -59*i + 6987. Calculate the greatest common factor of i and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-27))\/4*13\/((-312)\/36).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131489?\nAnswer: 131489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 35 - 223 = 0. Let m = w - -19. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cc - -a16a?\nAnswer: 9d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2740\/8220*((-18)\/28)\/3.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1823052547 and 9.\nAnswer: -1823052538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. Suppose 0 = -l*s + 9*s. Factor -1\/3*f + s + 5\/3*f**2 - 4\/3*f**3.\nAnswer: -f*(f - 1)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021816 divided by -5510908?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/2, 0.1, 4.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 17*i + 18. Let w be v(-16). Let g(m) = m**3 + 4*m**2 - 7*m. Let l(u) = u**2 - u. Let t(y) = g(y) - 5*l(y). Calculate t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2 - (-4 - -4)). Is 690 - (5 + m - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from enneseseeenneeei.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 + 2*x - 14. Let m(n) be the first derivative of 4*n**3\/3 + n**2\/2 - 9*n - 14. Give 5*f(h) - 8*m(h).\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g*g*g\/(g*g*g**(-8)))\/g)*g**(-2\/23))**(-48)\/(g**9\/((g\/(g*g*g**(-1\/8)*g*g))\/g))**26 assuming g is positive.\nAnswer: g**(9331\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 9*u**3 + 11*u**2 - 27. What is the second derivative of y(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 + 4*c**2 + c + 3. Let w(i) be the third derivative of -i**6\/120 + i**5\/60 + i**3\/6 + 3220*i**2. Determine m(n) - 4*w(n).\nAnswer: n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 10*b - 6. Let o be h(6). Suppose 107*n + 18*n - 1216 = 49*n. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1624 by -2746.\nAnswer: 812\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 0.51, -0.2, 2\/75, 4, -2\/13, -0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*g = w + 2230, -3363 = -3*w - 3*g. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -0.1257702.\nAnswer: -0.1742298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose x = 2*r - 1021 + 17. Suppose -7*b = -5*b - r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -733. Let l = -861 + p. What is l rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51297145652209 + 0.05.\nAnswer: -51297145652208.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*(2 - -1)\/((-2)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*o + 987*o + 240*o - 129564 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 + c**2. Let p(i) = -16*i. Let f be (34\/(-10) - -3) + -9 + 312\/30. Give f*p(h) + 12*s(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*j = 1406*j - 2080 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -44121163?\nAnswer: 44121142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 + 10*b - 1. Let f be t(10). Let m = 224.2 - 224. Let h be (1 + 0)*(-22 + 30). What is the second biggest value in m, h, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-40) - (-630002)\/5. What is b rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 1067*w - 48942. Calculate l(-48).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**(1\/7)*q)\/q)\/q*q)\/q)**(-15)*(q**5)**(19\/4) assuming q is positive.\nAnswer: q**(605\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126392207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2263441\/17794 + 15\/1271. Let v = 10\/271 - 68583\/542. Let l = v + p. Which is the second smallest value? (a) -1 (b) l (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(1539) + -3 + 3*sqrt(1539)*-3 + sqrt(1539))**2 + 5.\nAnswer: 486*sqrt(19) + 124669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6021, -6002, -5975, -5940, -5897, -5846?\nAnswer: -5787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14419 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.091294, -1\/76, 3\/14 in descending order.\nAnswer: 3\/14, 0.091294, -1\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**2 + 8*g - 20. List the prime factors of i(10).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(1375 - 359 - 603 + 1517)*(1 + 3*t**3 - 1).\nAnswer: 17370*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*h = -7, 2*h + 5 = 95*f - 84. Let r = -2 + 1.5. What is the nearest to -3 in r, f, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*y**2 + y**2 + 7*y + 0*y + 2*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 15 = 4*p + 3*a, 0 = 2*p + a + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 248*g**2.\nAnswer: -g**2*(g + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 3*a**2 - 53 + 0*a**2 - 59 - 7*a**2 + 95 - a**3. Calculate k(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 169, 68, -118 in decreasing order.\nAnswer: 169, 68, -1, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579279 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (sqrt(891) - (sqrt(891) + 1)) + 1 + 3 + sqrt(891) + 1 + sqrt(891) + ((sqrt(891) + -1)*-6 - sqrt(891)) + 2)**2*6.\nAnswer: -9180*sqrt(11) + 135384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/63228 and -55\/129381732.\nAnswer: 1423199052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79449482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7836, -27654, -60692, -106956, -166452, -239186, -325164, -424392?\n\"Answer: -u**3 - 6604*u**2 + u - 1232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-140)*(-2)\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.79 - 46. Let p = j + -13.79. Let d = p - -14.2. What is the smallest value in d, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(sqrt(51)\/sqrt(3)*6 - (-1 + -1 + sqrt(17)))**2.\nAnswer: 320*sqrt(17) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75199 and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*z + 35, -t + 8*z - 11*z - 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/24 - o**3\/6 + 3*o**2. Suppose -5*i = -5*z + 55, 3*i = 5*z + i - 55. Let n = 15 - z. Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 16*g + 15. Let h be v(-1). Let o(l) be the third derivative of 0*l**h + 1\/8*l**4 - 3\/20*l**5 + 0 - 14*l**2 + 0*l. Solve o(i) = 0 for i.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g. Let d(l) = -l**3 - l**2 + 4*l - 1. Let k be d(-5). Suppose g*f - f + k = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -35, 4\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.16 + 9.611. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4, i - 5*v = -841 - 1691. Let y = i + 15107\/6. Calculate the common denominator of 21 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69261 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527085.\nAnswer: 3, 5, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n. Let o(j) be the third derivative of j**4\/24 - 2*j**2. Calculate o(k(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:16 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f**2 - 45*f - 597. Is y(28) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + y + 1. Suppose 0*n = -3*n - 3. What is the least common multiple of 15 and j(n)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4059*-0.1\nAnswer: 0.04059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -35. Suppose i = -8*c - 69 - 147. Let r = 2 - c. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6152 weeks in nanoseconds?\nAnswer: 11258472960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 21. Let m be q(-4). Find the first derivative of 1113*f + m + 6 - 1113*f + 6*f**2 wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 1.839586?\nAnswer: -27.160414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1196 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*x**2 - 534*x**2 + 945*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*a = -18, -3*g - 5*a + 3*a = -15. Find the second derivative of -g + 3*r**2 + r**2 + 3 - r wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352215 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 1375 + 1595 = 0. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24348665.\nAnswer: 5, 11, 442703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q. Let r(i) be the first derivative of 10*i**3 - 8. Determine n(r(g)).\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -912329, -912342, -912373, -912428, -912513, -912634, -912797?\n\"Answer: -j**3 - 3*j**2 + 3*j - 912328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 3 - 3 + 1 - h - 1 + (3 - 1 + 0)*(0 + 0 - 2*h) + (2*h + 0 + 0)*(-6 + 17 - 5) + (-6 + 2 + 3)*(-2*h + 3*h + 3*h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 0*r - r)*(-1 + 2 - 2)*(-11 + 38 - 15).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 339941099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14*u - 218. Calculate the remainder when s(-19) is divided by (-3 + 2)*(0 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7 + 67 + 3*a - 10 - 47. Let b(u) = -4*u - 4. Determine 4*b(m) + 5*n(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73025791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 146 - 92 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 - -44614?\nAnswer: 44578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by -8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6. Let r be b(7). Let d(x) = -x**2. Let g(j) = -4*j**2. Let k(n) = r*g(n) - 5*d(n). Let q(t) = -7*t**2. Give k(q(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Let z(q) = 1 + 5*q - 3 - x + 4. Let d be z(1). Solve d*p = 0, 5*k + 11 = 3*p + 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 265223\/954720 - 59\/11232. Calculate the common denominator of -103\/330 and m.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3, -1\/6, -2\/5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/2027732 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 45 = 4*u, 0 = -5*f + 2*u + 4 + 11. Let b be (-5)\/(-30) - 46\/(-12). Let a = 12819 - 12819. Put b, -7, f, a in descending order.\nAnswer: f, b, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 10 - -13) + 12 + 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -176*r**2. Let z(q) = -10*q - 25. Let l(c) = 45*c + 105. Let n(y) = 5*l(y) + 21*z(y). Calculate b(n(g)).\nAnswer: -39600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148*64240.\nAnswer: -9507520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8 + 7*n + 3*n + 2*n**2 + 0*n**2. Let z be d(-6). List the prime factors of z\/(-8)*(-1 - 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313729 + 222472. Is 2\/(-14) + 22\/(-231)*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 12) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1090 - 1087. Solve -4*f + m = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-14 + (5 - -7) + (-43 - -9)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47043762, 47043760, 47043758, 47043756, 47043754, 47043752?\n\"Answer: -2*i + 47043764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/12 - u**3\/6 - 2*u**2 - 5*u. Let m be z(-3). Let c = -10 + m. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10751483 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3196, -6936, -10676, -14416, -18156, -21896?\nAnswer: -25636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(9\/27)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Suppose -2*f + 3*f - i = 0. Suppose 0 = -4*k + 4*r + 37 - 5, 40 = f*k + 4*r. What is the least common multiple of k and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*t + 22*t**4 - 24*t**4 + 26*t + 104 wrt t.\nAnswer: -8*t**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 12*i + 17*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*d = -83, 0 = q + 5*d - 212 + 103 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/56*((-6)\/(-20) - 1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - 4. Let q = 15.16 + -143.66. Let h = 130.5 + q. What is the nearest to 0 in u, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x + 8. Let h be d(0). Suppose -2*v - 50 = -3*m, 0 = 2*m - m - 5*v - h. Suppose -4*t = -10 - m. Solve -4*g = -t*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*w - 12, -w + 0*w - 9 = -4*q. Let y be (q + -1)\/(3 - 4). Suppose 16 = p - y*p. Calculate the remainder when 30 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 13. Let i(w) = 436*w**2 - 4. What is i(y(l))?\nAnswer: 1744*l**4 - 22672*l**2 + 73680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.8 + -5.5. Let q = v + -3. Let a = 81\/14 - 11\/2. What is the closest to 2\/15 in a, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:20 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -14. Let m = 3.5 - 4. What is the third biggest value in x, 4, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00696 and -0.6.\nAnswer: 0.004176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 345*r**2 - 6200*r - 181. What is a(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29532\/(-270) + 2\/(-9). Let q = m - -110. Let y = 11 - 16. What is the third smallest value in -2, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 18. Let p be s(-14). Solve -4*n - g = p + 2, 3*g - 3 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 17 = 2*m - 3*j, -4*m = -j - 19. Calculate the remainder when 5 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 3825?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (41 + 1)*(-2)\/(-6)*2. What is the common denominator of -77\/30 and (7\/s)\/((-42)\/40)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17317690, -17317691, -17317692?\nAnswer: -17317693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/(44\/33).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 9 + 0*a - 5\/2*a**2 - 1\/3*a**3. Suppose i(w) = 0. What is w?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z + 0*z)*(3*z**2 + 3*z**2 - 12*z**2)*(138*z + 43*z - 409 - 179*z) as x*z**4 + v + y*z**2 + h*z + w*z**3 and give w.\nAnswer: -2454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 0 - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*n - 19*j**3 - 2*j**2*n + 6*j**2 - 1318*n - 12 wrt n.\nAnswer: -j**3 - 2*j**2 - 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 9:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 12. Let c be (w\/(-45))\/(2\/3 + -1). Let m(i) = -i**3 + c - 16*i - 14 + 2*i**3 + 17*i. What is m(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {b: 4, j: 6, q: 3, s: 1}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q - 76. What is the remainder when 118 is divided by v(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8*a - 56 = a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 99*s**2 - 2276*s - 22. Give t(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 6*q - 11. Let p be l(-8). Let r(d) = 15*d - 1. Is r(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*t**2 + 81*t**2 - 40*t**2 + 8*t**3 to y*t + s*t**3 + n + u*t**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v**(8\/5)\/v*(v*v*v\/(v*(v**(-4\/17)\/v)\/v))\/(v*(v**(20\/3)*v)\/v*v) assuming v is positive.\nAnswer: v**(-977\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6552 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*-3*(-4 + -3*-2*sqrt(325)))**2 + -3 + -2.\nAnswer: -16740*sqrt(13) + 948656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23696442 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: Find i such that 4*i**4 - 29332*i**3 + 71441172*i**2 - 57163485500*i - 1535062222408 = 0.\nAnswer: -26, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 3834857 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 5*b - 385. Let p = -33 + b. Let v(y) = 21*y**2 - 7*y + 9. What are the prime factors of v(p)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1102*c - 1900. Is u(36) a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 16*s + 24*s = 190 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 8. Let t be d(4). Suppose -t*i + 7 = 15. Let l(k) be the third derivative of -k**6\/120 - k**5\/15 - k**4\/8 - k**3\/6 - 5*k**2. Determine l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -884 - -2188. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1968, 3956, 5968, 8004, 10064?\n\"Answer: 12*p**2 + 1952*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28023 and -0.1.\nAnswer: 2802.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990 > -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*o = 166 - 1252 - 571 - 761 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 11 + 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - 5*h**2 + 5*h - 9. Let b be q(10). Sort -5, 2, b in increasing order.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 12*f - 19. Let g be i(-9). Let d = 375 + g. Find the common denominator of d\/(-44) + 4 - -4 and -19\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101101100000001111 (base 2) in base 3?\nAnswer: 11210100000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:23 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -557.6 - -506. Let o = 52.6 + f. Do o and -0.069 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**4\/9 + 62*n**3\/9 + 2*n**2\/9 - 62*n\/9 - 4\/3 = 0 for n.\nAnswer: -6, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 18687?\nAnswer: 18686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/1 - (2 + -3). Suppose -4*y + 4 = -12. Let d(l) = h*l - 9*l - y*l. Let t(v) = 4*v**2. What is t(d(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (-31 - -34)) + (-24 - (-1 - -1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 219060 divided by -5\nAnswer: -43812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0184 and 0.3.\nAnswer: 0.2816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1764\/24*27\/(-2457)*(-28)\/49\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 78943.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 184781+0.854816\nAnswer: 184781.854816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*h + 3*h - 60 = 0, -36 = -2*t - 3*h. Suppose v - 197 = -3*x + x, -t = -4*x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 4*u - 3. Let z be b(5). Suppose z*x + 5*f = 37, -x - 6 + 14 = -f. Solve x = -2*n + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhphedjdhdp. Give prob of picking 2 j and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*k + 8125*k + 1083162 = 0 for k.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by -4?\nAnswer: -399\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -32d25a1?\nAnswer: -32d25b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose h - 32 = d. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 1 + 0*q**2 - 3*q**3 - 12*q + 0*q**2 - 13 + q**2 as n*q**3 + w + a*q**2 + p*q and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) - sqrt(180)\/sqrt(4))**2 - (-5 + sqrt(140)\/(sqrt(112) - sqrt(7) - sqrt(7))).\nAnswer: -13*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/3767 (b) -1 (c) 1 (d) -3 (e) 0.03 (f) 55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954082.\nAnswer: 2, 37, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11230, 22446, 33660, 44872, 56082, 67290?\nAnswer: 78496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:51 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 0 - (-49 - -50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*y + 36, 4*a - 3*y - 35 = -0*y. Suppose 28 = 4*q + 8. Calculate the remainder when a is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -760 or -759?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213646919 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135907km in meters?\nAnswer: 13.5907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-17))\/(((-627)\/22)\/(-19)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/3 (b) 5 (c) 2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.1 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*t - 57 = 3*t, 3*t = 4*i - 57. Let h(l) = -l**2 - 5*l + 3. Let g be h(-4). Let n = i - g. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2790931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 216094*x + 52822980.\nAnswer: 2*(x + 245)*(x + 107802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284719.508 + -285221. Let p = 501 + m. What is p rounded to two dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96809 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 59*g + 815. Give y(61).\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332084737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257177 + 381*w**2 - 257177.\nAnswer: 381*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 8*l. Let j(i) = 2*i**2 - 7*i. Let h(t) = -7*j(t) + 6*v(t). Let z be h(1). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187363 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**46\/z))\/z)\/(z\/z**(1\/6)))\/(z**8*z*z\/(z*z**(-7)*z)))**(5\/12) assuming z is positive.\nAnswer: z**(-1825\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*p - 1067 - 2263 = 1437 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 18*f + 309. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 201, 443, 777, 1203?\n\"Answer: 46*f**2 + 12*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbobbbbbbbbbbbbb. Give prob of picking 1 o and 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 7\/2 (c) -5\/309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 18*q**2 - 3*q - 5. Determine p(18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332 - 0?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1667, -1655, -1643, -1631?\n\"Answer: 12*f - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.2, 11\/4, 5, -0.20639 in increasing order.\nAnswer: -13, -0.20639, -0.2, 11\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykyxkykykkyk. Give prob of picking 2 x and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z + 7. Let f be n(5). Let y(t) = 3*t - 41*t**3 + f*t**3 - 3 - 42*t**3. Suppose k - 2*o + 0 = 12, -4*o = -4*k + 28. Determine y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424 - 1241?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 + -345. Are l and 114 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + 76*f**2 - 9*f + 37. Determine u(-15).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -35 (c) -0.1 (d) 1 (e) 0.4 (f) -0.2 (g) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715208000*o**3 + 2337821200*o**2 + 589503845*o + 38736735 = 0. Calculate o.\nAnswer: -3, -1607\/11960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3957 - 3813. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 1412.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, -5, 35, 0.56.\nAnswer: -5, -14\/9, 0.56, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + 14*t - 5. Let n be i(-8). Find the third derivative of 0*p**2 - 3*p**2 - 2*p**6 + 0*p**n - 8*p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-6*(sqrt(110) + 1*sqrt(110))*-1)\/(2*(sqrt(10) + -4*sqrt(10)*-1 - sqrt(1210)*-1)))**2.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/209 and -1\/101249841.\nAnswer: 101249841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i = -27*i - 105 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - h + 15 + 9, -5*o - 5*h = -40. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1485874 + -4?\nAnswer: 1485870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 1. Let g be (2 - 0)\/1*1. Let o(d) be the first derivative of 2 - 3*d**2 - 6 + 0*d + 3*d - d**g. Give 11*f(z) + 4*o(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 33 + -14 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -21 + 0 + 5 + 11 + 6 + t. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 183 + 1524*v + 1356*v - 2878*v.\nAnswer: 2*v - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5. Let z(w) be the first derivative of -w**4\/4 - w**3\/3 + 11*w + 224. Calculate -5*v(s) - 2*z(s).\nAnswer: 2*s**3 + 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 100 + 54 = -6*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2301*r**2 - 4817*r**4 - 4068*r**2 - 2113*r**2 + 1199*r**4 wrt r.\nAnswer: -86832*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1963, -0.19, -2\/5, 3, 0.012?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 547 + -496. What is the third biggest value in 2\/3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 761, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 11*k + 5. Let z be r(-6). Let y be z\/(2 - 0)*(0 + -2). Suppose 118 = 5*w + 3*l, 5*l = w - 0*l - 18. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5))**(-29\/5))**(3\/25) assuming u is positive.\nAnswer: u**(87\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1449, 1452, 1455, 1458?\n\"Answer: 3*z + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7846 and 0.2.\nAnswer: 7846.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 2*i + 3. Let l be j(-3). Let w = l + -52. Solve -2*m + 3*v = 13, w*m = -m + 3*v - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -398*y**2 + 139*y**2 - y + 156*y**2 to x*y + n + l*y**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let u be b(1). Let q(d) = 3*d**u + 0*d**2 + 0*d**2. Let t(f) = 2*f + 3. Let r(c) = 2*c + 2. Let o(s) = -3*r(s) + 2*t(s). Calculate q(o(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**3 + 5*m**2 - 3*m + 31. Let c(g) = -6*g**3 + 6*g**2 - 4*g + 30. Let b(f) = 6*c(f) - 5*u(f). Let a be b(9). Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**3 + 6*z**3 - 4*z**3 + 3116*z - 3116*z.\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028497227 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26832.8 or -1\/1613?\nAnswer: -1\/1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -2714.\nAnswer: 2985.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 2*c**3 - 115*c - 2*c**3.\nAnswer: 3*c**3 - 115*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 0.4252332.\nAnswer: 5.4252332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 17 = 4*y + 5*z, 2*y + 5*z - 22 = 0. What is the smallest common multiple of 72 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50467+4\nAnswer: 50471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-75)\/6 - -4. Let c = o + -39. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 706, 1435, 2158, 2881, 3610, 4351, 5110?\n\"Answer: j**3 - 9*j**2 + 749*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 - (-1 - 0). Suppose 0 = -5*s - 5*h + 240, r*s = h - 65 + 232. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 526\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18970132187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 61*i**6\/120 - i**4\/8 + 193*i**3\/6 + 210*i**2 - i. Find the first derivative of p(n) wrt n.\nAnswer: 183*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o. Suppose o*x + x - 11 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3202596 and 5436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 12:39 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*s**2 - 31*s**2 + 27 - 34*s**2 - 32*s**2 in the form h + v*s + x*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -987, -991, -997, -1005?\n\"Answer: -j**2 - j - 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48418?\nAnswer: 2, 43, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.8821 - -0.1179. What is the second smallest value in -3, -5, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -63. Let c = 486 - 484. Solve v = -c*l, l = n + 2*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 850 + -579. Let p = 271.000046 - a. Round p to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238897*v + 238982*v + 5950 = 0 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + r + 1. Let s(h) = 10*h**3 + 33*h**2 + 3*h + 7. Give -3*g(p) + s(p).\nAnswer: p**3 + 33*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**2 + 4*h**2 - 3*h**3 + 150*h + 2282 - 2847 with respect to h.\nAnswer: -9*h**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 107. Let r be o(10). Solve -d + r*q = -8, -7*d + 2*d = q + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-9))\/(4\/72). Let a be (20\/(-16))\/(2\/y). Calculate the remainder when 37 is divided by 45\/12*(-40)\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 - -1.04. Let x = -0.6 + 1.6. Let l = f - x. Which is the third smallest value? (a) -1\/3 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 806.3744 litres?\nAnswer: 806374.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.933 + -0.067. Let q = -252 + 1013\/4. Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - 4*p**2)*(0 - 1 + 2) - 2 - p**2 + 2 + 3*p**2 - 5*p**2 + p**2 + (3*p + p - 5*p)*(2*p + 3*p - 3*p) - p**2 + 2*p - 2*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, u: 2, j: 1, l: 4}. Give prob of picking 1 r, 1 j, and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*q - 4 = 0, 4*x + 6 = 7*x + 3*q. Let r(h) = 19*h. Let j(i) = -37*i + 1. Let f(s) = 6*j(s) + 11*r(s). Let b be f(x). Which is bigger: -45 or b?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 19*m**2 - 16*m + 11. Give b(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - 50*p**2 - 33*p - 8. Let d be q(31). Let k = d - 7482. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u + 3673 = -550 + 227 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 64 = 4*v. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460351061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 234620450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -891784259\/10721946050 - 15\/1365853. Let a be ((-2)\/8)\/((-314)\/4). Let u = a + b. What is the closest to 1\/4 in u, 2\/9, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 78 + 0*i + 7*i + 0*i - 48 - 32. Let r(x) = 1. Let m(g) = g + 3. Let z(k) = -m(k) + 3*r(k). Calculate -o(c) - 2*z(c).\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 2. Let u be s(4). Suppose 8 = -2*b, -u*v + 5*v + 2*b + 2 = 0. Suppose -v*g = 2*g - 0*g. Sort -1, g, 3, 5.\nAnswer: -1, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41910.164759253 + -0.01.\nAnswer: 41910.154759253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 5, y: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26822261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10.69 (b) 150 (c) 2 (d) 0.4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 + 29188.4991?\nAnswer: 28116.4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1477 divided by -20146.\nAnswer: 211\/2878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:52 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*l - 4, 0*l = -l - 2*t - 6. Suppose -l*d = 2*d - 344. Suppose w = -d - 54. Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 794 + -788. Solve 7*j = -8 - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 6, -40, -86, -132?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 6*v. Suppose 284 = 2*k - 6*k. Let p = 75 + k. Solve -n - 5*j - 22 = 0, -p*n - v*j - 19 = -7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 17 = -45. Let w be (-2)\/12 + (-615)\/(-18). Suppose 0 = 3*c + 28 - w. Solve c*s + 3 = -g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173296 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 11*n**2 + 7*n - 4. Determine l(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*x - 10, 24*x - 19*x - 2*o - 18 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 19*x + 574. Give d(-33).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/990 and -19\/60750?\nAnswer: 668250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -319918 in increasing order.\nAnswer: -319918, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Suppose -5*y + 53 = -12. Solve -b + 2*i - 4 = 0, j*b = -2*i + y + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 4. Suppose -32 = -4*j + 4*p, 3*j + 12 = 4*j - 2*p. Calculate the lowest common multiple of v and (j - 2) + 8 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 10?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 48\/133, -2\/21, -4, 0.12.\nAnswer: -4, -0.18, -2\/21, 0.12, 48\/133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 18835392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/16494 and 9\/1176572?\nAnswer: 3529716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - s + 4. Let z be m(2). Let o be (-4)\/z - (-602)\/210. Which is the third biggest value? (a) o (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38424 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 30*v**2 + 20*v - 2. Let m(r) = -91*r**2 - 52*r + 8. Calculate 3*m(n) + 8*o(n).\nAnswer: -33*n**2 + 4*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.069 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/(-18)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291232127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efffjsffsfsssdfesfs. What is prob of sequence jfe?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 7. Is i(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 17*l - 4. Let r be t(6). Solve 0 = -2*m - 2 - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 + 77. Suppose 4*h - 20 = -2*i, c = h + 5*i + 9 - 5. Suppose 4*x = 0, 5*x = -2*n + h*n - 564. List the prime factors of n.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -8, 1\/20, 1\/2 in descending order.\nAnswer: 1\/2, 1\/20, -8, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860065, 860097, 860149, 860221, 860313, 860425, 860557?\nAnswer: 860709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5))**(-3\/13)\/((q*q\/(q\/q**(-2\/7)))\/(q*q**(-3\/7))) assuming q is positive.\nAnswer: q**(-212\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/5 + 233486*k\/5 + 934104 = 0. What is k?\nAnswer: -20, 116763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2193)\/(-9) + -3*3\/(-27)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i**(-1\/4)\/i)))*i**(-3\/19)*i*i)\/(i**(2\/97))**(5\/8) assuming i is positive.\nAnswer: i**(7518\/1843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppappppywpppy. What is prob of picking 1 y, 1 a, and 1 w?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -14, -25, -52, -101, -178, -289?\n\"Answer: -a**3 + a**2 + 3*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 164100 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*r)*(-4 + 6 - 3)*(-3 + 2 + 2).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + l - 1066 = -1083, 0 = 3*t - 2*l + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5276710802 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: Simplify ((c*c\/(c\/c**2))**(-18)*((c*(c\/(c\/(c*(c*c\/((c\/(c*c\/c**(-6)*c))\/c))\/c)))\/c)\/c*c)\/(((c*c*c*c\/c**4)\/c)\/c))**(-1\/2) assuming c is positive.\nAnswer: c**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1303985*d**4 + 3*d**2 + 221*d + 411 wrt d.\nAnswer: 31295640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, c: 2}. What is prob of sequence czz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27978 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4979*z**2 + 4980*z**2 - 14932*z**2 + 4970*z**2 + 23*z.\nAnswer: -3*z**2 + 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 414 + -363. Let x(f) = -19*f + u*f - 25*f - 19*f. Let g(z) = -8*z. Determine x(g(h)).\nAnswer: 96*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8742980.\nAnswer: 2, 5, 437149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 26*c = 21*c + 18, -2*r - 3*c - 10 = 0. Let b(h) = -h**3 - 8*h**2 + h + 8. Calculate b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/34187724 and -75\/8863484.\nAnswer: 239314068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187992 by -7833.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4445 + -4164. Solve 0 = w*l - 288*l - 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/(1\/(-2)). Let m = 8 - v. What is the units digit of 73\/m - 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 93 = 0. Suppose 27*x - z*x + 8 = 0. What is the smallest common multiple of (x\/(-1))\/((-24)\/108) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -259, 2, -3, 3 in ascending order.\nAnswer: -259, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.813 (b) -1 (c) 1 (d) 2\/3 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 38*w**2 + 990*w + 4050.\nAnswer: 2*(w + 5)*(w + 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10061 - -18256. What is m rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17752 + 17752.4. What is the closest to 2\/7 in -16, -1\/5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 28 - 2*x - 14 - 14 - 13*x.\nAnswer: -15*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6*v**4\/5 - 54308*v**3\/15 + 40939168*v**2\/15 + 12146444*v\/5 - 1518054\/5 = 0.\nAnswer: -1, 1\/9, 1509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 487 = 3923. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9621.444mg?\nAnswer: 9621444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 27 = -3*b - 0*v, 0 = 2*b - v - 18. Suppose 2*n + n + 4*s = 55, 3*s - 37 = -2*n. Let x = n - b. Solve 0*o - x = 4*o - 4*q, q - 8 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Let r = -9 - -9.2. Let w = 15 + -14. Which is the closest to w? (a) -1\/6 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 314*z + 3. Is y(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 6*a**2 + a**2)*(0*a**2 - a**2 + 3*a**2) + (5*a**3 + 2*a**3 - a**3)*(21*a + 18*a + 5*a) as c*a + d + r*a**2 + z*a**4 + y*a**3 and give z.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 389 times -0.0427\nAnswer: -16.6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34350 - 3?\nAnswer: 34344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1047 + 2874. Is b a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226 - -126. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**3 + d**2 + 5*d + 5. Let c be t(-2). Suppose 30 = c*b - 89*b. Suppose 0*f + b*f = -x + 196, -4*x + 659 = -5*f. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(2236\/130))\/(10\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m**2 - 803 + 8695 + 3902.\nAnswer: -51*m**2 + 11794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2. Let g(w) be the second derivative of 0*w**3 - 3*w + 0*w**2 + 2\/3*w**4 + 0. What is g(u(v))?\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 4*y**2 + 4*y**2)*(0*y + 4*y**3 + 0*y).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, w: 2, j: 2, h: 3}. Give prob of picking 1 j, 1 w, and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3892 and 19243.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5835864 to the nearest integer?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r*r**(2\/5)*r)\/r)))\/r)\/(r**3*r))\/(r\/(r\/(r\/(r\/r**(-1\/13))))*r*r**(1\/11)) assuming r is positive.\nAnswer: r**(-3299\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let x be ((-44)\/715)\/(2\/(-70)). Let t = -222\/91 + x. Which is the closest to s? (a) 0.4 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-672)\/1008)\/(3\/(-9) - (-14)\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 - 4 = 0. Suppose 3*p - n = 4. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from olllodlsboodldlolb.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-58 + 16) - (174 + -86).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11082 + 4852 = -8214*n + 8471*n for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -57\/523, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 0.1, -0.309, -3\/7 in decreasing order.\nAnswer: 0.1, -0.3, -0.309, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2356.9 and 0.607046.\nAnswer: 2357.507046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*u - 119*u - 194*u as t*u + p and give t.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (759\/(-276))\/(22\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 8*c - 3. Let f be q(10). Let o = f - 18. Let p be (o + 16)*(-80)\/(-100). What is the highest common factor of p and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 2, n: 2, b: 1, c: 4}. Give prob of sequence cc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.47 and -856891?\nAnswer: 402738.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28631, 57506, 86391, 115292, 144215, 173166?\n\"Answer: l**3 - l**2 + 28871*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 551*q**2 + 23*q - 38. Calculate s(2).\nAnswer: 2212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -33, -1 in decreasing order.\nAnswer: -3\/7, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 329*y**2 - 10861*y + 130. Determine l(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3764, 3867, 3970, 4073?\nAnswer: 4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 23*l**4 + 26*l**2 + 3. Let s(z) = -z**2 + 1. Let r(q) = -d(q) + 3*s(q). Find the third derivative of r(h) wrt h.\nAnswer: -552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 + 4*t + 2. Let x be c(-2). Let z be (-7)\/((-7)\/(-4)) + 4. Let w be 26*(z - (-5)\/x). What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 - 5*f**4\/12 - f**3\/6 - 5*f**2\/2 - 3*f. What is q(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -294. Calculate the common denominator of d and -67\/82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 0.207.\nAnswer: 0.01863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/504 - (-1 - 3734\/42). Are 85 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of (-7 - (-421)\/3)\/(1\/78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-2*m - 2*m + 2*m) - m + 0*m - m - m + 4*m - m - 21 + 21 - 9*m as h + k*m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from {z: 1, t: 4, u: 4, b: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*a**3*w**3 + 76*a**3*w + a**3 - 2*a**2*w**3 - a**2*w + 10*a*w**3 - 9*a*w**2 - 288 wrt a?\nAnswer: 1314*w**3 + 456*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*z**5 + 15*z**3 - 4154*z wrt z?\nAnswer: 900*z**3 + 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 3*1*368\/(-48). Factor -p*a + 6 + 117*a**2 - 41*a - 105*a**3 + 33*a**4 + 15*a.\nAnswer: 3*(a - 1)**3*(11*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5215*a**3 - 11698 wrt a.\nAnswer: -15645*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26280 + 26451 = 57*i. Let w be 2 + 2 + (-19)\/5. Determine v so that 2*v + 8\/5 + w*v**2 - 1\/5*v**i = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(1872) + (sqrt(1872)*2)**2 + 2)*-5*-3.\nAnswer: -180*sqrt(13) + 112425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -550 (base 13) to base 9\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5*s - 74003743*a**3*s + 2446*a**2 + a*s - 6*a - 104 wrt a?\nAnswer: 120*a**2*s - 444022458*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 39*v**3 - 4 + 34*v**2 - 49*v**2 - 43*v**3 - 3*v + 21.\nAnswer: -(v - 1)*(v + 2)*(4*v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 - 20744*w**2 + 21759276*w - 65091024 = 0.\nAnswer: -6081, 3, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 13531.\nAnswer: 0, 7, 13531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2. Let s(d) = -140811*d + 10542. Let v(l) = -749*l + 56. Let z(n) = 4*s(n) - 753*v(n). Determine a(z(c)).\nAnswer: 2268036*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/3 + 4*q**2\/3 = 0. Calculate q.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w. Let i be (-2)\/(-1) - 0\/2. Let n(u) = 4*u**2 + 6*u + 6*u - 2*u - i*u**3 - 14*u**2. Calculate -n(d) + 10*r(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from uqyigvigviqiuv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 37488391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (236\/177)\/((24\/(-9))\/(-8)). Solve r*v - 11 = o, 4*o - 6*o - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 186 + 50 = 0. What is w rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-3*sqrt(132)*-5 - sqrt(132)))\/(sqrt(192)*2*4 + sqrt(192)))**2 + -3.\nAnswer: 12503\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 3. Let f(l) be the second derivative of l**3 + 3*l**2\/2 - 1287*l - 2. What is 3*f(c) + 2*w(c)?\nAnswer: 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 = -6. Suppose 5*m + 10 = 5*n, -5*m - n = -3*n + s. Suppose 0 = x - m, -4*l - 2*x = -x - 133. What is the greatest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 26 - 55 = 0. Let i = t - -735. Let x = i + 3857. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 52*a - 20 - 3 = 6*a - 445, -21*a = 5*d - 127 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*t + 3*k - 7*k, 26 = 5*t + 2*k. Suppose 3*h - t*v - 359 = -2*v, 0 = -2*h + 2*v + 240. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, -2\/11, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.3 - 52. What is the biggest value in v, 4, 0.8, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21113 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -271311, 34, -2\/7, -1.6 in decreasing order.\nAnswer: 34, -2\/7, -1.6, -271311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3514 = 2*n - r - 3512, -3*n + 2*r = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*j + 4 = -13, -s + 5 = j. Let z(k) = 3822*k**3 + k**2 - 2. Is z(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:37 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 15. Let z be (24\/s)\/(6 - 8). What is the highest common factor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 105*u. Suppose 0 = -2*m - 1750 + 20556. Let r(j) = m - 3*j - 9403. Calculate a(r(t)).\nAnswer: -315*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180781221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 1434.\nAnswer: 90342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/60 - (-1)\/6. Solve g = 4*h - 3*h, b = 2*g + 3*h - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 988 - 8890\/9. Find s such that 4\/9 + 2\/9*s**3 - r*s - 4\/9*s**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3330 and 7089015.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10665561.\nAnswer: 3, 53, 67079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7))**(8\/5)*(r\/((r*(r**(-3\/14)\/r)\/r)\/r))\/r*r*r**(4\/7) assuming r is positive.\nAnswer: r**(249\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:59 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-4)\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011111001 - 1111?\nAnswer: -1001100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.3, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715 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: Simplify (((t*t*t**5*t)\/t)\/((t\/t**(6\/7))\/t*t)*t**3*t*t*t**3*t)**40 assuming t is positive.\nAnswer: t**(4440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -4, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 0.1, -82.691, -2\/17.\nAnswer: -82.691, -5, -0.4, -2\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16646 is divided by 6907.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3331 divided by 5198.\nAnswer: 3331\/5198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 2. Let m be w(5). Let c = -11 + m. Let d = 56 - -76. What is the highest common factor of c and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-116*q + 1409*q - 1969*q - 2323*q)*(-8*q**2 + 8*q**2 + 5*q**3) as z*q**3 + w*q + x + r*q**4 + s*q**2 and give r.\nAnswer: -14995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26087349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 - 10390*w**4 + 10336*w**3 + 270040*w**2 + 249312*w = 0. Calculate w.\nAnswer: -4, -1, 0, 6, 5194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 677140095 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002718244 to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/10 + b**2\/5 + 11. Find q, given that h(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5194, -5566, -6290, -7360, -8770, -10514?\nAnswer: -12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(-9*(-9)\/63)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 986\/9. Let f = -3625855\/17 - -213101. Let j = f + 21395\/102. Find the common denominator of j and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0357 times -188?\nAnswer: 6.7116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88\/31 - -1881\/62. Let i be 1 + 15998\/208 - 60\/160. Let o = i - 8779\/104. What is the common denominator of q and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/160 - 5*y**4\/64 + 3*y**3\/8 - 18*y**2. Factor l(j).\nAnswer: 3*(j - 3)*(j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c5928 (base 13) to base 4.\nAnswer: 10030002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 119. Let h(g) = 4*g - 48. Let z be h(d). Solve k = n + 9, 5*k + 0*k + z*n - 9 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 + 166.8. Do s and -64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 31*a - 22. Let u be r(-9). What is the greatest common factor of 18 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3265\/11 - -297. Let f = -0.1 + 0.03. Which is the biggest value? (a) -2\/3 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddddqqdgddddqdqqddq. What is prob of picking 2 q?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6560 + 6569. Calculate the smallest common multiple of d and ((-6)\/(-4))\/(2\/44).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12451, -12448, -12443, -12436, -12427?\n\"Answer: a**2 - 12452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-112)*(-9452)\/3570 and 77\/8?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-6))\/((-18)\/27). Let r(a) = l*a - 5*a + 8*a. Let w(u) = -u. Calculate w(r(h)).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.16071 to one decimal place.\nAnswer: 42.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*w - 3*l, 4 = -l + 7. Is (-2283)\/(-21) + (-2)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - (-5 - -8). List the prime factors of (-3 + -6)*(0 - 3 - x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916119293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(2\/(-10)). Let i = u + 9\/4. Let q be 3 - (-2)\/3*-3. What is the third smallest value in q, i, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 51151*n - 1. Let a(y) = -25*y - 24. Calculate a(o(w)).\nAnswer: 25*w**2 + 1278775*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 1)*(0*u + 2*u - u) + 13 + 3*u - 13)*(-591474 + 347*u + 591474) to the form b + f*u + z*u**2 and give z.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-3) + -2 + (-14)\/7. Let f = 2\/581 + 461\/34860. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1783b - -2b?\nAnswer: -17810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30191*o**3 + 144556?\nAnswer: -90573*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-61824)\/(-30816) - (1 - -1)*1. Suppose k + j + 4 = 2*k, 0 = -2*k + 4*j + 16. Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69857 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15908279113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 + 0*h**4 + h**4 - 3*h**4 + 4*h**4 + 0*h**4 + h**4 + 3*h**4 - 3*h**4 + (-3*h**2 + 3*h**2 - 2*h**2)*(-h**2 + h**2 - 2*h**2).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 + 2 = f, -2*f = u - 43. What is the remainder when (-88)\/8 - (-88 - -2) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjojjjjjjo. What is prob of picking 2 j and 1 o?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 20, -79*j + 80*j + 10 = -3*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*j + 7, 3317*j - 3318*j = -5*q - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 78. Suppose 98 - j = 3*d - 3*r, 5*d - 3*r = 132. What is the remainder when 30 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - 2*a - a)*((19 - 19 + 17)*(-18 - 85 + 23) - 3 + 3 - 1) in the form t + f*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10 - 15 = 0. Let x(h) = h. Let m(y) = 5*y - 1. Let j(k) = m(k) - 4*x(k). Let w(a) = -2*a + 2. What is c*j(f) - 3*w(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 530093 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 3*a + 2. Let z be f(-1). Suppose -2*p + 10 = -y, -y = z*p + 4*y - 20. Let k = -3 + 3. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8139053*h**2 - 8139053*h**2 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42454, -84897, -127336, -169771, -212202, -254629?\nAnswer: -297052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 48*p - 181. Calculate k(9).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39516897 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = -2*z + 4*f, -f + 1964 = -3*z + 3*f. Let r = -2603\/4 - z. Factor -1\/4 - r*a - a**2.\nAnswer: -(a + 1)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12405 minus 0.3?\nAnswer: -12405.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2240375 and 1275.\nAnswer: 114259125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36 = 36. Let u(z) = -z**2 - z + 21851. Is u(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113228.\nAnswer: 2, 28307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*j**4 - 1744*c**3 - 664*j**4 wrt j.\nAnswer: 4*c**3*j**3 - 2656*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 5*y = 19, 0 = q + 3*y + 13. Suppose 0 = -8*k + q*k - 84. Let u be ((-40)\/k)\/(2\/7). Solve -i = i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/552)\/(52\/(1872\/27)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**3 + 53*p**3 + 59*p**3 + 62*p**3 - 198*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f - 11. Let g(u) = u + 2. Let w(j) = -11*g(j) - 2*x(j). Let c be w(2). Factor 0*k + 3*k**2 - c*k - 6*k**3 + 5*k**3.\nAnswer: -k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 341*h**4 + 158*h**4 - 52*h**4 - 113*h**3 - h + 111*h**3 as i + g*h**3 + f*h**4 + q*h**2 + s*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(5 - (-413)\/(-84))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*z + 19*z**5 + 804*z**3 - 804*z**3 wrt z?\nAnswer: 380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 210?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (1 + -7 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 - 7*v**5 - 28*v**4 + 4*v**5 + 12*v**4 + 10*v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53350 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(57) + sqrt(57))\/sqrt(3) + sqrt(95)\/sqrt(5) + 5)**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -23. Let d(h) = -2*h**2 - 2*h - 2. Let w(s) = -2*s**2 - 3*s - 2. What is v*w(r) + 4*d(r)?\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*u = -3*u, -2*z + 5*u + 7 = 0. Let q(p) = 5*p**3 + 2*p**2 - p. Let h be q(z). What is the second derivative of 36 + h*m - 36 - m**5 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38605?\nAnswer: 5, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 214. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137891\/55 - 2507. Find the common denominator of f and ((-45)\/(-660))\/(3\/(-19)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5239, -20922, -47049, -83614, -130611, -188034, -255877, -334134?\n\"Answer: f**3 - 5228*f**2 - 6*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 divided by 24732.\nAnswer: -97\/12366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 51, 87?\n\"Answer: 36*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495279647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k - 137. Let z be g(42). Suppose -o + 45 = 2*c, -5*c - 8*o = -5*o - z. Solve 0 = 2*x - 5*w - 18, 0*x + 4*w = 3*x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 35 + 4*n + (33 + 80 - 17)*(7*n - n - 7*n) as h + o*n and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -41) + 6688\/(-44)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 5*d = 5006 - 4984, 0 = d - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801477.4ug to tonnes.\nAnswer: 0.0000008014774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-22)\/r*r)\/r)\/r**20)**8 assuming r is positive.\nAnswer: r**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 647812068 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 20. Suppose 44 + 7 = -17*c. Which is greater: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 8 = 2*l + 5*t, 2*l - 3*t - 4 = 0. Suppose 4*a - 2*h - 243 = -73, 2*h = -l*a + 226. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2030 and 2520.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 8. Let s(k) = 2*k + 16. Let r(o) = 5*a(o) + 2*s(o). Determine r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 2\/23 (b) 0 (c) 19 (d) -2\/5 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4528 or -4487?\nAnswer: -4487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 2, t: 2, v: 4, q: 1, x: 1, k: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggugu. What is prob of picking 1 u and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-2))\/(-23*18\/828)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.073953 + 0.0608879. Round f to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/(-39) - (-26)\/169)\/(-9).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**4 + 7*c**3 + 8*c**2 + 7*c. Let p(l) = -10*l**4 - 6*l**3 - 7*l**2 - 6*l. Let i(j) = -6*m(j) - 7*p(j). Find the third derivative of i(o) wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n + 26. Let r be f(3). Suppose -5*q + 5 = 2*u, q - 2*u - 19 = -r*q. Solve -k + q*k - 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -6\/1387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96777.28 millennia in centuries?\nAnswer: 967772.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n - 5. Let g(w) = 27*w - 14. Let s(f) = 3*g(f) - 8*q(f). Let u be s(2). Let t = 57 - u. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1628, -1\/5, 1\/13111?\nAnswer: 1628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i + 59*i + 1 + 54*i - 154*i - 42*i**2.\nAnswer: -42*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Suppose 264*a - 80 = 254*a. Let m(i) = -176*i**2 + a - 252*i - 7 + 252*i. Calculate m(d(z)).\nAnswer: -176*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*t**3 + 2*i*t**3 - 137481*i - 2*t**3 - 9463*t wrt i?\nAnswer: -3*i**2*t**3 + 2*t**3 - 137481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k - 126. Let g be q(-11). Solve 0 = -w + 2*x - g, 5*x = -2*w - 0 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -680.255083 + 503.2550656. Let c = l + 177. Round c to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149054 - 4*v**2 + 149054.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 9*t**2 - 12*t - 17. Determine h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1.5. Let x(r) = -26*r - 2365. Let d be x(-91). Let u be (-2)\/(-20)*(-18)\/(-3). What is the nearest to d in 0, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101222001 - 12?\nAnswer: -101222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/100)\/(12\/(-130)). Let j = -1\/15 - i. Which is the closest to j? (a) -0.4 (b) 3\/2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -162 and -163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 6. Let q be l(9). Suppose 0*s = -q*s - 4*h + 207, 4*s - 298 = 2*h. Suppose -s = -9*u + 8. Calculate the remainder when 33 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z + 187*z - 103*z + 449*z**2 in the form k + a*z + o*z**2 and give o.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 455*o**2. Let g(u) = 14*u - 5. Let r(f) be the second derivative of -4*f**3\/3 + 3*f**2\/2 + 44*f + 2. Let m(w) = 3*g(w) + 5*r(w). Determine m(c(b)).\nAnswer: 910*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**2 - 64*r + 60 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1*15\/6. Suppose o*u = 502 + 398. Suppose 0 = -2*k + 7*k - u. Calculate the highest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6425696 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(28*o**5 - 51 + 28 + 22).\nAnswer: -56*o**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**3 + 7058*w**2 + 62503*w wrt w?\nAnswer: -18*w + 14116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706770 is divided by 1389.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 64520*s - 16. Let v(u) = 77*u**2 - 3*u. Give p(v(r)).\nAnswer: 4968040*r**2 - 193560*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20028186679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 174*o + 181. Let g be h(-1). Solve 0 = g*z + 28 + 14 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 74575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 76*w + 44*w + 18*w + 15*w.\nAnswer: w + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.4605 centimeters in kilometers?\nAnswer: 0.000604605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*1 + 1)**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 9*v**2 + 31 - v**3 - 34 - 10*v. Suppose 8 = p + 2. What are the prime factors of t(p)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c + c**2 + 30*c - 10*c as w + q*c**2 + k*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33581333 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:12 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -359.\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**5*m - 109*a**3*j*m + a*m + 4*a - 72*j wrt a?\nAnswer: -120*a**3*m - 654*a*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/12 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 815806 less than 815744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91846 (base 12) in base 9?\nAnswer: 318020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*i = -3*h + 9, 6 = 4*h + 2*i. Suppose -j = -4*x - 38, 4*j + h*x - 80 = -j. Calculate the remainder when j is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(2448) + sqrt(2448) - sqrt(2448)) + -5 + sqrt(2448) + -5 + 0 + sqrt(2448))*3)**2 - (-3*sqrt(136)*1)\/(-3*sqrt(56)\/sqrt(7)).\nAnswer: -6481*sqrt(17) + 199188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aagaawaba. Give prob of picking 1 b and 3 a.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 28*f**2 + 248*f + 126. Give t(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -139, -2 in decreasing order.\nAnswer: -2, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2) + 19 + (-1 - 21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, -1\/34, -0.4, 6\/11 in decreasing order.\nAnswer: 292, 6\/11, -1\/34, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:10 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.7 - -28. Let n = u + 3.7. Let c be 2\/8 - (-1)\/(-1). Put n, 0.4, c in increasing order.\nAnswer: c, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 - 3*d. Let a(r) = -33*r**2 - 11*r. Let w(n) = 3*a(n) - 11*x(n). Let t(v) = 115*v**2 + 1 + 3 - 4 - 119*v**2. What is w(t(b))?\nAnswer: -176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49651662761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 29. Let t = y - -13. Let k = -28 + t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + o - 3*o + (-2*o - o + o)*(0 - 3 + 2) + 1 + 1 - o - 4 - 3*o - o + 0*o.\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172247.057 rounded to the nearest one thousand?\nAnswer: 2172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3 - 19. Let r = -9269 + 6188. Is (-1)\/x + r\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739035 is divided by 5355.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -6, 54, 0, -2, 30.\nAnswer: -6, -2, 0, 1, 11, 30, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(44) + -1)*3 + 3)**2.\nAnswer: -1512*sqrt(11) + 14697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 61. Calculate the remainder when 58 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 15) to base 4.\nAnswer: -13102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l + 45. Let s(y) = -9*y - 38. Let k(u) = -5*f(u) - 6*s(u). Give k(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3714, 14838, 33376, 59328, 92694?\nAnswer: 133474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15385*r = -15340*r - 1710 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 164. Let w = u + -9. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/21, 1\/7, 1\/8, -1675, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -4. Let z = 38.338 + -25.29. Let b = c - z. Round b to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -919, -2948, -6341, -11104, -17243, -24764, -33673?\n\"Answer: -i**3 - 676*i**2 + 6*i - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-6))\/(i**(-1)*i)*(i**(-1\/4))**(14\/9) assuming i is positive.\nAnswer: i**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8.5. What is the closest to 1 in -0.1, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.3 (c) 124 (d) -2\/3 (e) 0.9285\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((24494\/(-10804))\/(-331))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 9*r + 500. Let w = 180 - r. Calculate the remainder when w is divided by (2 + 0)\/((-2)\/(-14)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/28 and 242\/16*(-22)\/55.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 - s**5\/12 - s**4\/12 + s**3\/6 - s**2. Let h be i(5). Let w = 10 + h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let y(t) = 3535*t**2. Determine z(y(c)).\nAnswer: -24992450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 3*o - 3. Let s(x) = -x**2 + 5*x + 4. Let w be s(5). Let l be f(w). Which is the nearest to l? (a) -0.2 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1561*b**4 + 2728*b**3 + 7594300 with respect to b.\nAnswer: 6244*b**3 + 8184*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(-987))\/((-5)\/(-3885))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4041211523.\nAnswer: 48539, 83257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15796 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1935*a. Let d(p) = -p. Calculate d(f(u)).\nAnswer: -1935*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + 3*i. Calculate j(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25) + (-373860)\/6975\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) -5 (d) -9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*l + 2*s + 42 = 0, -139*l + 138*l = 20*s + 303 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.78\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -12\nAnswer: -79\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8*t - 2449 = -2745, 6*q - 90 = 3*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 27. Let x be c\/12*1\/(-2). Suppose -2 = 9*v + 7. Is x != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -173287.\nAnswer: -173287.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d - 6. Let m be k(4). Let z = m - -26. Calculate the remainder when 21 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32368601, -64737202, -97105803?\nAnswer: -129474404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-16) - 0)\/((-1)\/6). Let p be b\/140*-5 - (-2)\/8. Solve -n + p = -3*d - 2*n, 5*n = 3*d - 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(2*c - 2*c - c)*(-5254*c**2 - 3163*c**2 + 5896*c**2).\nAnswer: -2521*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w - 50*w + 7836 - 1856 = 0. What is the highest common factor of w and 13676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -5\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/13, -24, -6.43.\nAnswer: -24, -6.43, 0.1, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) -2\/9 (c) -2 (d) 47\/3 (e) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 3*n**2 - n**2 + (-4*n**2 - n**2 + 4*n**2)*(0 - 2 + 3) - 1 - 2*n**2 + 1 - 10 + 9*n**2 + 10)*(128 - 96 + 431).\nAnswer: 2315*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 37*z. Let p(s) = 5*s. Calculate a(p(v)).\nAnswer: 175*v**2 - 185*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 2*x**2 + 0*x**2)*(-5*x - 7 + 7)*(4*x + x - 3*x) as c*x**4 + r*x**3 + y*x + j + a*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 + 612*x\/7 + 613\/7.\nAnswer: -(x - 613)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(108)\/(sqrt(27)\/sqrt(3)) + sqrt(12)) - -1*sqrt(192)*-4)\/(-5*2*sqrt(100) - (sqrt(100) - 2*sqrt(100)*3)).\nAnswer: 12*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-63)*315\/(-70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:20 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-3)\/(-4)). Suppose -6 = 5*x - 3*j, j - w = x + 4*x. Solve -2*n + 4*n - 4 = x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/4)\/(1\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72415 and 4795?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2277 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 38*z**3 - 28*z**2 - 57*z - 19. Calculate u(-2).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -305, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f + 24*f - 3 - 2*f**3 - 8*f as h*f + y*f**3 + p + x*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -1, -18, -43, -76?\n\"Answer: -4*p**2 + 3*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1227 (base 15) to base 4\nAnswer: 330112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 38*g - 1123. Solve g*v + 8*v + 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2 - 977*k + k**3 + 5*k**2 + 1927*k - 949*k. Give y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*q**4 - 264*q**2 - 191*q**2 + 105*q**2 - 102*q**2 wrt q?\nAnswer: 3072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -5*s + 31 + 35, 5*s = 4*v + 33 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 26*v - 25*v - 1 = 0, 9*c + 29 = -5*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 82.09303 nanograms?\nAnswer: 0.00000000008209303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -143903.\nAnswer: -14390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14037 is divided by 233.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 9.64. Let f = c + 17.36. Let k = -17.6 + f. Do k and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253220.5215 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*v + 2*v**3 + 1017 - 1048 + 69*v as y*v + r + j*v**2 + x*v**3 and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 - 2*p - 1. Let z be g(-1). Let l = -1.6 + -4.4. Let m = -3 - l. What is the smallest value in z, -5\/3, m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/429 - -2147\/5720. Find the common denominator of -109\/732 and j.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (270307 - 133701 - 127795)*(5*d**4 - 5*d**4 + d**4) as c*d**3 + y*d**2 + t*d + i*d**4 + k and give i.\nAnswer: 8811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 13) to base 12\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 3 - 9 - 3*u**2 + 0 as o*u**2 + w + h*u and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a hour in seconds?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -0.06, -3\/2, 4\/3, 2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54028.\nAnswer: 2, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 263*m**2 - 35246*m - 13. Give l(134).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34\/5 + (2574\/(-330) - (-7)\/1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 632 - 490. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*p + 2*p + 24*p + (0 + 2 - 4)*(-p - 2*p + p) + 3*p + p - 2*p - 2*p - 1 + 1)*(-31 + 4 - 17).\nAnswer: -2288*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.1. Let j = 0.0796 + 0.0204. Suppose 0 = -0*w + 2*w. What is the closest to j in w, 1, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*d = 357*d + 1619 + 72. Solve 0 = -d*c + 107*c + 90 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)\/w*w\/((w*(w*w**(1\/8))\/w)\/w))**(-5)*(w\/w**(-1)*w\/(w*(w*w*w*w**(-2))\/w))\/(w**6*w\/(w\/(w*w\/(w\/(w\/(w*w**(-7)*w)))))) assuming w is positive.\nAnswer: w**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237.7 + 454.1. Let j = l + -38.4. Let u = j - 178.00129. What is u rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -4 (c) -1\/2 (d) 219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -280.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6645 in -5, 2, -1, 1\/4, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.059.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0 + 0)*(-1118 - 222 + 161)*(3 + 1 - 1).\nAnswer: -3537*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 3. Let l = 13 + -20. Let v be h(l). Suppose 4*x + v - 38 = 0. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 1757*f**2 + 0*f - 1763*f**2 + f.\nAnswer: -6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m + 55968 = -0*m. Let h = -792 - m. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -43. Let r(z) = 0 - 4 + 3*z + 5 + 4*z**2 + 2*z**3 - 3*z**2. Let d(t) = 0*t - 2*t - 4*t**3 - 3*t - 2 - t**2. Give q*d(n) - 5*r(n).\nAnswer: 2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -10. Let b(z) = z**2 - 14*z + 12. Let w be b(10). Let g = -10 - w. What is the remainder when g is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 441*a - 441. What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f - 178. Let g be 1 - -3 - (45\/(-5) + -5). Is 8 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 10. Suppose 4*o = g*i + 21 + 3, 5*i + 20 = 0. Let v = -1 - -0.9. Is v at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -499*z + 31. Let v(q) = -247*q + 15. What is -6*d(n) + 13*v(n)?\nAnswer: -217*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811614015 divided by -5?\nAnswer: -362322803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760 and 66990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92*(-2)\/(288\/(-9))*-4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, -0.576, -1\/3 in decreasing order.\nAnswer: 4, 0.3, -1\/3, -0.576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b (base 12) in base 4?\nAnswer: 20123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43605 and 35.\nAnswer: 1526175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.04, 0.3, -4, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 1, w: 2, a: 1, k: 1, i: 1}. Give prob of sequence zwiz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 61 + 9*n - 11*n. List the prime factors of j(-22).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26842 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -33091530100 to the nearest 1000000.\nAnswer: -33092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-456)\/(-532)*21\/99)\/((-2)\/4)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 63. Give a(-8).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1087, -1090, -1093, -1096, -1099?\n\"Answer: -3*v - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 times -0.1\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119320, -238636, -357950, -477262, -596572, -715880, -835186?\nAnswer: -954490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10)*y*y**0)\/((y**(-2)\/y)\/(y*y*y**(-6\/11))) assuming y is positive.\nAnswer: y**(633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-3 + 2 - -3 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (38\/6 - (-18)\/54).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - b - 498, -643 - 350 = -2*j - b. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 2*k. Suppose u + 19 = -2*l - k*u, -3*u = 15. Suppose b = -b. Solve b = l*i - 5 + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 2\/9, -3, -3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595612059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16149881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 1. Let o be w(-2). Suppose o*n = 3*n + 98. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.2, 1\/5, 1\/36, -18, -981?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0673614 to 3 dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 + j + 2*j - 5*j**3 + 16 - 18. Is a(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 + 2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1742 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*(k*k*k*k**(-1\/11)*k)\/k)\/(k**11\/k*k*k\/(k\/(k**(-8)\/k))))**28 assuming k is positive.\nAnswer: k**(368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-13 + 46)*17\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**8\/1680 - b**6\/72 - b**3\/2 + b**2. Let w(x) be the first derivative of z(x). What is the third derivative of w(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001 (base 2) to base 4\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -105 - (6 - -17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539961651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdenp. Give prob of sequence ed.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896 is divided by 669?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**3 + 4*t**2 + 5*t - 23. Let i(p) = -8*p**3 - 3*p**2 - 4*p + 23. Give -4*g(x) - 5*i(x).\nAnswer: 4*x**3 - x**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280863 is divided by 2194.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 13 = 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 - 2) + (-11)\/(-11). Solve 0 = -4*t + 2*c + 2, -4*t - 4*c + j = -9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1*(-5)\/(-10)). Suppose -4*n - 12 = -y*s, -4*n + 12 = 6*s - 2*s. What is the highest common factor of 33 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153\/11 + -512\/55. Let l = 19307790787\/3821139 + 1\/424571. Let t = l - 5046. What is the common denominator of r and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*g. Suppose -5*n = g, 3*r - 7*r = -n - 36. Calculate the greatest common divisor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, j: 2, o: 1, b: 2, w: 1}. Give prob of sequence wbjr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*l + 17 = 0, 0*a - 5*l = -2*a + 41. Solve 5*y = -7 - a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from mvmnnnmvmn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 221*w + 8154. Determine q(39).\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 6*u. What is the remainder when b(-4) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.261882929 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16976 divided by -16976\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/11 (b) 0 (c) 205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/15 - -4)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040815739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k. Let o(t) = -t. Suppose 4 = -2*j, 0*n - 3*n + 3*j + 27 = 0. Let s(d) = -d**2 + 7*d - 4. Let z be s(n). Calculate z*o(c) - l(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 3*u**3 - 3*u**3 + (0 + 2 - 5)*(-4*u + u**3 + 4*u) - 58*u - u**2 + 56*u + 76 - 2*u**3 - 17 in the form o + r*u + w*u**3 + q*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -r - 8, 3*r + r = -4*w. Let j = -2 - r. What is the closest to -1 in 2\/7, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/210 - i**4\/42 - i**3\/21 + 3*i**2. Factor d(o).\nAnswer: -2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 15. Let v be y(26). Suppose -36*r = -v*r + 70. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = c, -3*y + 3*c = 2*y - 9. Suppose y = -4*r + i + 1386, 2*i - i = -2*r + 690. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*s = z - s - 8, -z - 408*s = -404*s - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*t**4 + 1197*t**3 - 125542*t**2 - 2*t - 1?\nAnswer: 3912*t + 7182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k + 4*y - 19, 0 = -5*k + 5*y + 40. Suppose 0*x + x = 2. Calculate the remainder when -1 + 8\/x - -34 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from {p: 4, n: 3, j: 5, w: 1, c: 1}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 0)*(-5*a + 58 - 28 - 31).\nAnswer: 50*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 15*b**2 - 16*b + 15. Let h be j(13). Let u = 43 + h. Suppose u + 72 = 4*g. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -804, -50, 7 in descending order.\nAnswer: 7, 2, -17, -50, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5961000 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 26*g**2 + 4*g - 43. Let a be k(13). Let q be a\/6 - ((-15)\/6)\/5. Solve z = q*v - 3, 3 + 0 = 3*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 5910599362667.\nAnswer: 5910599362666.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from jrrjperejrprrepppw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597635.\nAnswer: 5, 17, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y**2 + 2*y**2)*(-5 + 5 - y**2)*(4*y + y - 4*y) + y**5 + 4*y**5 - 3*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16879865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 2. Let f be j(6). Suppose 65*s - 164 = 31. Solve -i - f = i, -i + s = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1999? (a) -2 (b) 52 (c) 0 (d) 2\/15 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20308 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i. Let q(x) = 48387*x. Determine t(q(f)).\nAnswer: -677418*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-20)*(19\/(-114))\/((-2)\/20). Put -9, -13, o in ascending order.\nAnswer: -13, -9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 12 = 7*z. Suppose h - m - 2*m = 393, -4*h + 1632 = z*m. Suppose 1555 + h = -4*q. Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642893 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427 - -427. Suppose 5*i + s - 5 = 0, -d - 5*i + 1906 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -22*h + 21 - 32*h**2 + 16*h**2 + 15*h**2. Let f be g(-15). Suppose f = -2*j + 306. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 78. Solve l*j - j + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwdd. Give prob of picking 1 w and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:26 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -429. Let b = -205 + g. Is b a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -22*h + 176. Let a be s(8). Suppose 7*y = 2*y. Suppose 4*r - 1 - 51 = y. Solve a = 2*i + 3*f + r, -4*i + 0*f + 2*f = -14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 0*b - 77 + 0*b**2 - 3\/5*b**5 - 1\/2*b**6 + 3\/2*b**4 + 0*b**3. Factor r(m).\nAnswer: -3*m**3*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c - 266. Let s(k) = -3*k**2 + 14*k - 2. Let v(n) = -4*n**2 + 21*n - 3. Let x(u) = 3*s(u) - 2*v(u). What is r(x(m))?\nAnswer: -11*m**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*u + 2, 18 = 2*u - 0*u + 5*w. Suppose -5*k + 1205 = -2*t - t, -4*k = u*t - 964. Is 44 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1 - 8 + 6 + 0. Let a(c) = -c - 10. Let t(f) be the third derivative of 5*f**3\/6 - f**2. Let b(r) = -2*a(r) - 5*t(r). Determine b(y) - 3*g(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.097, -1\/2, 1\/5, 4.2708, 0, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p + 4*p + ((0 + 1 - 4)*(0*p + 3*p - p) + 2 - 20*p - 2)*(0 + 3 - 2).\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 50*f = 87*f - 4*f - 405. Solve -23\/8*w + w**f + 5\/4 + 5\/4*w**2 - 1\/8*w**5 - 1\/2*w**4 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) - (4 + sqrt(2)*2)) + 5.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349 - -104. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/40 - 79*f**4\/4 + 473*f**3\/12 - 3*f - 141. Factor d(j).\nAnswer: j*(j - 473)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z)\/z**(-4\/9)*(z\/z**(-2\/7)*z)\/z**7 assuming z is positive.\nAnswer: z**(-710\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 223. Calculate the highest common factor of 13 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose 0 = -m*t + 4*t + 2. List the prime factors of 3 - (34\/(-2) - t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 534, 801, 1064, 1323, 1578?\n\"Answer: -2*z**2 + 273*z + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -19, -0.009, 4, 0.02, 0.8?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/19 + 9640470*m\/19 + 9640472\/19 = 0.\nAnswer: -1, 4820236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 0 + 20 - 17*t to the form b + o*t and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/15))*l)\/(l**(-4)*l*l)*(l**(1\/4))**(2\/19) assuming l is positive.\nAnswer: l**(1649\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 21*u + 55. Let h be f(18). Let q be ((-2)\/(-3))\/(h - 2)*-14358. Let m = -4887 + q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 57*q. Let c(g) = -15*g**2. Calculate z(c(v)).\nAnswer: -855*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 2, r: 1, w: 5, i: 4}. What is prob of picking 1 r and 2 z?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 35, 9, 15, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 + 1. Let r(w) = w**3 + 8*w**2 + 4*w - 17. Let k be r(-7). Suppose -56 = k*g - 8. Let f be 1 + 15\/(-18) + 26\/g. What is m(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (0 - 2) + 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*g - 3, -3*g - 4*u = 3 + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4*v - 7. Let h be (0 - 4)\/4 - -7. Suppose 5*n + 10 = 5*m, h*m - m - 10 = n. Suppose 2*x - 2*f + f - 10 = n, -4*x = 5*f - 34. Give c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j - 6*j - 12*j - 2. Let k(w) = 3*w - 5. Determine 2*k(q) - 5*p(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9466.747 milligrams?\nAnswer: 0.009466747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 619*t**2*z + t*z**2 + t + 3*z**2 + 1058*z + 2 wrt t.\nAnswer: 1238*t*z + z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwbbbb. What is prob of sequence wb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 3\/4, -0.9 in decreasing order.\nAnswer: 39, 3\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262392495*q**2 - 237021*q + 406 wrt q?\nAnswer: 524784990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147170 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 118*p = 440. Suppose 2*k - 4*y + 6*y = 10, 2*y - 2 = 0. Calculate the lowest common multiple of p and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 421, 541, 719, 961, 1273, 1661, 2131?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -16. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6391039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13914425 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 8646096*x**3\/5 + 9344372005152*x**2\/5.\nAnswer: 2*x**2*(x - 2161524)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3323498.655 to the nearest 10000.\nAnswer: 3320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-15))\/(6\/(-15)). Let y = 27 + -32. Suppose 3*c + 6 = 2*j, -c - 2*j = j + 13. Sort q, y, 5, c in descending order.\nAnswer: 5, q, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = -19*o + 5, 3*s + 2*o - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(6\/7)\/s*s\/(s\/(s\/(s**(-10)*s)*s))*(s*s**(-1\/4)\/s)\/(s*(s\/((s\/s**2*s*s)\/s)*s)\/s) assuming s is positive.\nAnswer: s**(241\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -19. Let m = p + 16. Let g = 53.5 + m. Round g to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1\/15446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 375 = -4*p. Let f = -10 + p. What is the remainder when f is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -6*(-9)\/(-54). Suppose 5*x - 5 = -p, -4*x + 0*x - 5*p + 4 = 0. Let i = f + x. What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, z: 1}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 22*f - 20929*f**2 - 22*f - 14*f**3.\nAnswer: -f**3 - 20929*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:40 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 13*k = 44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - m**4\/12 + 13*m**3\/6 - m**2 + m. Let h(s) = -s**3 + 2*s**2 - 12*s + 2. Let f(v) = -6*h(v) - 5*p(v). What is f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -680 + 679.98828. Round d to 4 dps.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147 (base 13) in base 15?\nAnswer: -aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*m + 1944 = -78*m + 458*m. Calculate the remainder when (-12)\/42 - (-576)\/7 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -421418 take away 48?\nAnswer: -421466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 11*k**2 + 17. Let b be f(11). Find the second derivative of -10*s + 5*s**3 - 11*s**2 - b*s**3 + 11*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-27)\/(-12) + -2 - 4115\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.5 - -14.6. Let m = r + -3. Let w = 0 - 0. Sort w, 1\/4, m.\nAnswer: w, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (114\/304)\/((68\/32 - 2)\/1). Solve q - v = 0, -x*q + 0*v = 3*v + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-288)\/(-42))\/8)\/(33\/343728*-72).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/10 + 3*i**4\/10 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 23. Calculate the remainder when (-2)\/6 + 202\/3 is divided by c(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212778198 divided by 3940337\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/5 - 19*x**3\/5 + 1206*x**2\/5 + 35424*x\/5 + 44928 = 0. What is x?\nAnswer: -24, -10, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.06592974439?\nAnswer: -4.06592974439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*n + 405, 0 = -21*y + 24*y - 2*n - 411. List the prime factors of y.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 863584138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 0*m**2 - m**2 + 0*m + 4. Let r be b(-4). Suppose 2*l - 108 - 158 = r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -44?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/36 - (-2913)\/10. Let m = -292 + o. What is the nearest to m in 2\/5, 0.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4 - 8, -2*i = 2*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -10. Suppose -3*c + 158 = -127. Let p = 223 - c. What is the highest common factor of p and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(70\/(-4)*-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + 2*sqrt(156)))\/(2*sqrt(1200) + sqrt(12)).\nAnswer: 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 267, 865, 2043, 3999, 6931?\n\"Answer: 33*q**3 - 7*q**2 + 6*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 11*s + 125 = 0. Let r = -23 - s. Suppose n + 5*w = -0*n - 6, -r*n + 18 = -5*w. Solve -n + 1 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = 100. Calculate the common denominator of (5\/p)\/(1\/138) and 19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 + l**3 + 2*l**2 + 0*l**3)*(-42*l - 8482100 + 8482039 + 109*l) as h*l**4 + x*l + o + w*l**3 + z*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + 18*f - 2. Suppose -465*l = -663*l - 792. Calculate n(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534, 533, 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 16.7. Which is the second smallest value? (a) r (b) 1\/4 (c) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 100414461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6322 + -303475\/48. What is the common denominator of j and 65\/84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlltlqlq. What is prob of picking 1 t, 1 q, and 1 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798*x*y**3 + 6*x*y**2 + 2*x*y + 8 wrt y.\nAnswer: -4788*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 8*n - 5*n. Let c be n + -5 + 0 + 2. What are the prime factors of c\/6 + 2\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24241\/15 - 1616. Are -0.7 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 7*a - 4. Calculate r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1801 and 0.3?\nAnswer: 540.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 252466778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -1\/90*u**6 + 0*u**5 + 0 + 0*u**3 + 0*u**4 + 1\/126*u**7 + 0*u**2 + u. Factor x(b).\nAnswer: b**4*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*(-144)\/1260 + (-508)\/10\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -36, -49, -60, -69?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 48 + 141. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1829 to three decimal places.\nAnswer: -1.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + 5. Suppose -t*b + 3*b + 8 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14188 - -6?\nAnswer: -14182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30030311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 94 + 4. Let t = 2 + -1. Calculate the smallest common multiple of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*y + 3*d + 47, 5*y + 63 = 4*d for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12\/7)*h*h**(-4\/9))\/((h\/((h\/(h\/h**(-2)))\/h)*h)\/h)**(-4))**(-1\/13) assuming h is positive.\nAnswer: h**(-935\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/7, 1, -1\/4, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(182)\/sqrt(7))\/(sqrt(800) + sqrt(2)) - (4 + (-2 + (-1*sqrt(208) - sqrt(208)) - ((sqrt(208) - sqrt(208)*-2) + sqrt(208))*-2))**2.\nAnswer: -7492 - 2018*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6182 by 584.\nAnswer: -3091\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q - 8*q)*(-q + 22*q + 10*q)*(5 - 2 - 5) in the form i*q + j*q**2 + d and give j.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 1, 76.669?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36309165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 27, 1\/6, 2\/17, 1\/4, -0.5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 118. Suppose -26*p + k*p = 0. Factor p + 2\/3*h**4 + 4\/3*h - 2\/3*h**2 - 4\/3*h**3.\nAnswer: 2*h*(h - 2)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 3*m - 0, 2*m = -2*a + 10. Suppose 47 = u + 2*u + 4*v, 37 = a*u - v. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-11)\/11*(-6)\/(-27). Let z = 4.2 + -4. Which is the nearest to 1? (a) -0.4 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 17*m + 8. Let l be d(4). Suppose n - 106 = l*o + 55, -3*n - 4*o = -563. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3521 + 222?\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (66116\/6)\/(((-144)\/(-27))\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 1.91. Let h = v + -2. Let u = 7.1 - 3.1. What is the closest to -1 in u, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*(s\/(s\/((s\/(s\/(s*s**(5\/4)*s))*s)\/s)))\/s)\/s)\/(s**(1\/4)*s)*(s**1)**30)**46 assuming s is positive.\nAnswer: s**1472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 267535912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3*n - 5. Let d = -4 - -9. What is the remainder when 12 is divided by p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -75144 = -73\/216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -191*q + 9. Let n(l) = -170*l + 8. Let y(f) = -7*h(f) + 8*n(f). What is y(-3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -7.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106562, -106563, -106574, -106601, -106650, -106727?\nAnswer: -106838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3814 and 5904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 6*j + 108. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.181 (b) 0 (c) -0.3 (d) 0.004 (e) -0.11 (f) -7\/2 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbuu when four letters picked without replacement from {u: 10, b: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Let m(w) = -10*w + 1. Let t(p) = 7*p - 1. Let i(l) = j*m(l) + 8*t(l). What is the tens digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3, 3 in decreasing order.\nAnswer: 3, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(99))*-5 - (0 + 6*-2*sqrt(11)*-2)**2.\nAnswer: -6346 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 0*z**2 + 17*z**3 - 5*z**3.\nAnswer: 12*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*y = -2*d + 60, 3*d = -2*y + 28. Let p = d - 6. Let n be -7*(-1550)\/1225 + 2\/14. Solve -2*s + 2*b - n = -5*s, p = 2*s - 2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -960, -0.3 in ascending order.\nAnswer: -960, -3\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 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: Which is the third smallest value? (a) -1\/13 (b) -0.1 (c) 2 (d) 0.3 (e) -239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -634481 - -11?\nAnswer: -634470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735336461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -114782 - -277?\nAnswer: -114504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1049016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8392523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 4. Suppose -4*n - 2*o - o - 61 = 0, o - 33 = 2*n. Let v = -12 - n. Solve -23 + 7 = v*z - x, 2*x - 12 = d*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c62 + 4?\nAnswer: -1c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -34*t - 388. Let d be q(-12). Solve -77 = d*v - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwcfmcfffffvfavafcf. Give prob of sequence ma.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 16*o**2 + 3*o**2)*(0*o - o - 2*o)*(0 - 3 + 1)*(-12 + 14 - 40)*(2 - 1 - 2).\nAnswer: 4560*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - 83*r - 104. Let t be l(-20). Let w(h) = 5*h. Let b(k) = -k. Give t*b(u) - 4*w(u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 26 - 11, -4*g + 28 = 4*l. Let v(h) be the third derivative of 0*h + h**g + 1\/60*h**5 + 0 - 5\/24*h**4 + 1\/2*h**3. Calculate v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08614 - 0.12856. What is f rounded to four dps?\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*g**3 + 66*g**3 - 97*g**6 - 157*g**3 - 344*g**2 wrt g?\nAnswer: -11640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 215 + -81. Suppose -p + o = 137. What is the units digit of 173 - -3*(4 + p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 241*j**2 - 9*j - 11 - 222*j**2 to q + h*j**2 + m*j and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 626, 2509, 5652, 10061, 15742, 22701, 30944?\nAnswer: 40477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i + 12*i + 10*i + 0*i + 3*i - 2*i + (-5 + 3 + 0)*(-3*i + i + 4*i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/42 - 467*p**6\/30 + 3*p**5\/20 + p**4\/3 - p**3\/3 - 279*p**2 + 5429*p - 1. Find the third derivative of l(q) wrt q.\nAnswer: -60*q**2 - 11208*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -681898*p + 93. Let w be z(3). Let m(u) = 315601*u. Let h be m(-1). Let v = w - h. What is v rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38148 divided by 51.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.22156 centuries in years?\nAnswer: 2522.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 10*d**2 + 8*d + 9. Give k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4734 - -4735. Is u bigger than 724\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 212\/8)*(-3)\/(-36)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-10)\/(-6) - (-1796)\/1347. Suppose -m + 15 = -22*l + 17*l, 4*m + k*l = 14. Factor 1\/4*w**4 + 0*w**3 + 0*w + 1\/4*w**m + 0*w**2 + 0.\nAnswer: w**4*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -26523 (c) 13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 645897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000110011001 (base 2) to base 10.\nAnswer: -57753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1843*w + k = 1846*w - 21612, 0 = 3*k - 18. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + h**5)*(-2 - 3 + 6) - 4*h**5 + h**5 + h**5 - 2 - 7*h**5 + 2.\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:03 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*i = -i - 181, -u + i = -83. Suppose 75*s + 12 = u*s. Calculate the lowest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119161799 and 2770.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (12*(-64)\/(-88))\/((-3)\/2). Which is bigger: t or -44?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 3)*65\/(-20). What is the greatest common factor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 125*u - 5873. Let t be j(47). What is the third smallest value in t, 1\/3, 0.428?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:48 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3963228.5?\nAnswer: 11889685.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 7. Let w = 20 + g. Suppose -3 = z - w. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c485 + 2?\nAnswer: 8c487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/(a\/(a\/(a**(-4)*a)*a)*a)*(a**12\/a)\/a*a*a\/(a\/(a**6*a)*a)*a assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391810599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/2 + 2*k**2 + 2*k. Let j = 18 + -29. Let b(p) = -p**2 - 9*p + 19. Let i be b(j). Calculate n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002057 rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*h + 4, 3*h + 2 = 4*f - 4. Suppose 0 = -4*s + 4, 3*g = -f*s + 7*s - 130. Calculate the common denominator of g and -8\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-10)\/8 - -1). Is 574.4 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*l - 25. Suppose 0 = -3*y + y - l. Let j = 9 + y. Solve -j = 4*p - 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -529, -14 in decreasing order.\nAnswer: -14, -44, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-43700)\/(-14564))\/((-14)\/(-7)). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 22966839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 723 - -2?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {f: 1, k: 1, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y + 3. Let w(u) = 135*u - 75. Determine -72*l(v) - 3*w(v).\nAnswer: 171*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o*o*o**(-1\/6))\/(o**(1\/3)*o)**(-5\/12)*o*(o\/((o\/(o**(-1\/2)\/o)*o*o)\/o))\/o*o\/(o**(-1\/8)\/o*o)*(o*o**4)\/o*o*o**1\/o assuming o is positive.\nAnswer: o**(379\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = p + 1, 4*p - 2*t + 15 + 1 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**3\/3 - 2*k**2 + 2*k + 13. Let l be g(2). Factor 4\/5*d - 2\/5*d**l + 0.\nAnswer: -2*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1047*x**3 - 11*x**2 + 11. Let g(l) = 262*l**3 + 3*l**2 - 3. What is 22*g(y) + 6*s(y)?\nAnswer: -518*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83878 by 17.\nAnswer: -4934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccrcctqt. Give prob of picking 1 c, 1 q, and 2 t.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j. Suppose j = -5*g + 5*c + 110, 5*c = -4*g + 3*g + 52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(85)*-2)\/(sqrt(50)\/(sqrt(20)\/sqrt(2))) - 6*3*(0 + sqrt(1700))**2)*-1.\nAnswer: 10*sqrt(17) + 30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20101111210?\nAnswer: -20101111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*o + 52*o + 7*f + 42, -2*o + f + 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 - 4*y + 33. Determine w(9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 6)*(-84)\/42. Let q(c) = 59*c - 14. Let d(y) = 39*y - 9. What is z*d(i) + 5*q(i)?\nAnswer: -17*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93151338 - -0.073?\nAnswer: 93151338.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuovfsxsvfv. Give prob of sequence vfs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 - 6*r + 12. Let j be f(5). Let i = j + 21. What are the prime factors of (-2 - i)*(-12)\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.07. Let z = 178.9 + -174.97. Let j = n - z. Put 1\/4, -2, j in ascending order.\nAnswer: j, -2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = u - 4*s, 8*u - 3*u - 5*s - 40 = 0. Let y = u + -7. Let r(x) = x + 4. Let a be r(y). Do 0 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1190.232 hours to milliseconds.\nAnswer: 4284835200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/306550 and -37\/250.\nAnswer: 1532750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 - c + 4. Let l be q(-2). Suppose l*n - 6*n = 12. Solve -2*o + 4*z - 32 = 2*o, 18 = -o + n*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = d. Let j = 88 + -84. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 - 866 = 8*p. Let u be -1 - 49\/(-17) - 8\/p. Is (14 - -8195)*(3 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -25. Which is the smallest value? (a) -0.1 (b) 2\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522364.1 litres to millilitres.\nAnswer: 522364100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 26 = -4*w + 2*x, -2*w + 3*x = -29. Factor -4*o**4 - 2*o - 18*o**4 - 33*o**3 - w*o**4 - 15*o**3 - 18*o**2.\nAnswer: -2*o*(o + 1)*(4*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343 + -36488?\nAnswer: -36145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 11*o + 1\/4*o**4 - 13\/2*o**2 - 4*o**3 - 5. Let j be b(13). Solve 0 = 2*y + 2*m + 14, y + 2*m = -0*m - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {m: 3, v: 3, w: 5, q: 1, i: 1, k: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50182852?\nAnswer: 2, 41, 157, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1905578 weeks?\nAnswer: 32.0137104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*i - 40 = 0, 0 = -68*q + 70*q + 5*i + 50 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 59. Let h(t) = -38*t + 26 - 36*t - 41*t + 113*t + 33. Determine 3*h(m) - 4*x(m).\nAnswer: 2*m - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -3532.38.\nAnswer: -3537.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - -16. Suppose 0 = -2*x - 0*x - 5*h + n, -5*x + 3*h + 100 = 0. What is the lowest common multiple of ((-8)\/10)\/((-63)\/5670) and x?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, o: 4, m: 6}. Give prob of picking 1 o and 3 v.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 3*g**2 + 305*g + 1202. What is m(-4)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.465 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -33111.\nAnswer: -13244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21677118 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, d: 4}. What is prob of sequence uu?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o - 159 = 0. Let l be ((-4)\/4 - 0) + 50\/(-5). Let h = l + o. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19786368 and 32844?\nAnswer: 455086464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1601 + 1602. Which is the third smallest value? (a) 1.8 (b) -1 (c) -6\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 3, p: 4, z: 1}. Give prob of picking 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**5\/110 - i**4\/66 - 3*i + 3. Let z(b) be the first derivative of g(b). Suppose z(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 40*c + 35*c = 4, -4*n + 2*c = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 121000010110022?\nAnswer: -121000010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173284596 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**2 + 3\/4*c**3 - 3\/4*c - 1\/2.\nAnswer: (c - 1)*(c + 1)*(3*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -g + 17, 0 = -2*g + g + 2*n + 3. Suppose -4*k + 5 = m - 19, -5*m = k - 63. Let v = m - g. Solve -i - 2 - 4 = 3*x, -v*i = 3*x - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 5. Let d be x(-5). Suppose 72 = 3*m + 4*j + 35, 20 = 5*j. Suppose -d*i = -m*i. Solve -3*y - 11 = -2*v, i*v - 3*y - 6 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 766335339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-68))\/((-12)\/(-160))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*i + 2*l + 52, 4*i = -4*l + 64. Let a = i + -12. Solve -3*j = a*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l + 1. Let v(t) = -5*t**2 - 11*t - 6. Let r = 6 + -5. Let z(w) = r*v(w) + 6*y(w). What is z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 9. Let m be 0 - (-2 - (4 - 21)) - 1. Let i(q) = -6*q - 28. Determine m*s(l) - 5*i(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 17*i + 480950 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 553*y - 315*y + 458*y + 486*y to the form d*y + t and give d.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 - 112. Let h = -34 + -3. Let m = z + h. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -93 (c) 2\/21 (d) 8\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2113604 rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m - 4. Let h be w(-6). Find the third derivative of -2*v**4 - 5*v**2 - 6*v**2 + 4*v**2 - 6*v**h wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/4*(-2004)\/1336?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157896 is divided by 52629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 2*y. Let l(p) = 5*p + 7 + y*p - 2*p. Give l(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20501.32 milligrams?\nAnswer: 20.50132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/8 + i**3\/3 + i**2. Let o(g) = 3*g + 0*g + 7*g - 7. Let y(n) = -14*h(n) - 4*o(n). Let p(z) = z. Calculate y(p(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-168)*2 - (-6 + 150\/24)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213004 (base 8) to base 3.\nAnswer: -10121122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105821893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaammmmnmmmwaxvvmwn. Give prob of sequence vnn.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/9*(-59 - -62))\/(47\/2679). Let n be ((-1)\/(-2))\/(2\/1444). Calculate the highest common divisor of v and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -72*x**3 + 4*x**2 + 2*x + 1. Let l be f(-1). Suppose -72*b = -l*b + 9. Solve -4*i - 5*s - 8 = -44, -4*i + 4 = -b*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/28 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h = -115*h + p + 21, 2*h + 5*p = -9. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29610 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536718 is divided by 450.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -20010110010021?\nAnswer: -20010110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 869 in -4\/2693, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 6. Let a be s(-4). Calculate the highest common factor of a and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + a + 1. Let c be q(0). Let p(n) = -3*n**2 + n - 1. Let k be p(c). Is (-6)\/k*452\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31153.\nAnswer: 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 97 + (-13 - 0) + -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41\/11 - (-69)\/253. Solve -2*h + t = -v, 2*t = -4*h + 6*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) + 1))**2*-2 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-14\/13)*y**(2\/15)*(y**(-2\/75)*y)\/((y\/(y*y*y**40*y))\/y*y) assuming y is positive.\nAnswer: y**(44054\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24757994.\nAnswer: 2, 12378997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, 0.16, 1, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1664 and -59\/260?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 + y**3 + 0 + 0*y - 3*y - 1. Suppose -2 = -3*r - 0*n + 2*n, -4*n = 4*r - 36. List the prime factors of x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -458 + 518. Calculate the remainder when 118 is divided by v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 less than -397475604270?\nAnswer: -397475604272.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 = -5. Let a be 11 + (6 - -4 - 2 - 6). Factor -10*x - x**3 + a*x - 2*x**f.\nAnswer: -3*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -26*x + 10*x + 14 + 18*x. Let d(m) = -12*m**2 + 46*m + 1. Let w be d(4). What is p(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646, 510, 290, -14, -402?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68078*h - 5 + 34038*h + 34037*h + 5.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddj when four letters picked without replacement from {j: 6, d: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 196 = 4*h, -h + 0 = -5*w - 37. Suppose h = 8*i + 4. Solve -4*n + 6 + i = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1552*n**3 - 865 wrt n?\nAnswer: 4656*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-4)\/2)*-5*(-6)\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/((-40)\/432).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-3 + 5) + (-346734912)\/(-192) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237182349713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from oqccqocqcco?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 5, j: 1, i: 5, z: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10289\/30 - -343. Let b(p) be the first derivative of 1\/25*p**5 - m*p**6 + 1\/10*p**4 + 5 - 2\/15*p**3 + 1\/5*p - 1\/10*p**2. Factor b(z).\nAnswer: -(z - 1)**3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 less than -0.013039328?\nAnswer: 0.103960672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 792*t + 7936. Calculate the remainder when 875 is divided by f(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -29 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*i**4\/7 - 11520*i**3\/7 + 64800*i**2\/7 - 162000*i\/7 + 151875\/7 = 0.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*c - 1 - 3 = 0, -12 = 3*q + 2*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/3, -7, -4 in descending order.\nAnswer: -1\/2, -2\/3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -243, -531, -935, -1455, -2091, -2843?\n\"Answer: -58*k**2 + 2*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 + k**2 + 11*k + 9. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -1 - 12) + 74 + -81 - -78?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 12. Let d be t(-7). Let r(g) = 9*g**2 - 13. Let w(v) = 4*v**2 - 7. Let i(c) = d*r(c) - 5*w(c). Differentiate i(m) with respect to m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88*s**3 - 78*s**3 + 131*s**3)*(-16 + 14 - 20 + 0 + 4 - 3 + (4 - 7 + 1)*(-2 + 0 + 4)) in the form c*s**2 + k + b*s**3 + p*s and give b.\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + 21. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*75\/60*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437783 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-48)\/21 + 2 + (-436)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.20861 rounded to zero decimal places?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4671331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((1 - 0) + 1)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.35 + 24.56. Which is the closest to r? (a) -2\/5 (b) 2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a - 23944 + 70646. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k + 12. Solve k*w = w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40486254, -40486253, -40486252?\nAnswer: -40486251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3177 and 45356264.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 408925 divided by -1\nAnswer: -408925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000411578 to five decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:30 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from mnpppapxmaapapnpppm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-738))\/((-8)\/(-12)). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -75. Suppose 3*m + 41 = 5. Calculate the least common multiple of j\/m*2*-2 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 5*f - 24.\nAnswer: (f - 3)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25517 (b) 5\/2 (c) 3 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w**3 - 1)*(-w + 2 - 2) + (-24 - w**4 - 45*w**2 + 24)*(2 + 4 + 0).\nAnswer: -5*w**4 - 270*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-9 - -5) - (1 - 4) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 19146523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76 and -0.08070805.\nAnswer: -76.08070805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -4c?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -24. Is (2 - -1) + 1\/(p\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z + 20 = -5*p, 4*p + 16 = -2*z. Suppose z = -5*y + 3*h + 17 + 65, -h + 52 = 3*y. What is the greatest common divisor of 136 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 24*y + 22. Let v(b) = 1. Let q(x) = -4. Let f(g) = 2*q(g) + 9*v(g). Let r(t) = 5*f(t) - p(t). Is r(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 5)*(2*d - 2*d - 5*d)*(2 - 2*d + 1 - 1) to the form p*d + x*d**2 + w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - q + 3, -2*i - 5*q + 1 = -14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let r be ((-40)\/(-958) - 0)*3948\/(-756). Let p = r - 2\/479. What is the closest to p in m, 27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**4 + x**3 + 2 - 2*x**3 - 9*x**4 - x in the form g*x + z + u*x**3 + w*x**4 + r*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 2) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 55*y - 10 - 40324*y**2 + 69*y - 15*y as b + k*y + c*y**2 and give c.\nAnswer: -40324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -33*p**4 - 64*p**3 - 37*p**2 + 110*p - 8. Let t(v) = -12*v**4 - 21*v**3 - 12*v**2 + 36*v - 3. Let o(y) = -8*t(y) + 3*z(y). Find a such that o(a) = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1) + -6)\/(-3). Suppose 21 = 3*q - 4*o, -1 - 2 = o. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529672.8 rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a**3*f**2 + 2*a**3 + 14*f**2 + f - 1344 wrt f.\nAnswer: 68*a**3*f + 28*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 3*h - 64*h - 11 - 64*h**3 + 27*h.\nAnswer: -64*h**3 + h**2 - 34*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1990 + 4790. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from cdhnhvhhcxdv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269841.249934 - 269841. Let w = 0.25 - v. What is w rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1886 - -0.5886. Which is the second smallest value? (a) -0.129 (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 5:53 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**2 - 2. Suppose 4*j + 2*d = -2, -4*j + 3*j = -4*d - 22. Let t(h) = 39*h**j - 140*h**2 + 35*h**2 + 29*h**2 + 39*h**2. Give t(s(l)).\nAnswer: 200*l**4 - 80*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -751099.9781 to the nearest one thousand.\nAnswer: -751000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (-1 + sqrt(77)\/sqrt(7))**2 - (sqrt(704) - (-3*sqrt(704))**2).\nAnswer: -5*sqrt(11) + 6324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t**2 + 4\/3*t**3 - t + 3. What is the first derivative of q(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13693.3 - 13692. What is the second biggest value in -16, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3640 and 7465?\nAnswer: 5434520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -261, -263, -265, -267, -269?\n\"Answer: -2*a - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/5 + 118*q\/5 + 58\/5.\nAnswer: 2*(q + 29)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-71638)\/(-215))\/49*40\/8\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 1. Let l be c(3). Suppose 2*w - 3*w = -3*g - 2, 5*g = 0. Solve d + l*d = -w*i, d = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.88 and -0.325.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 863447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1513 - 67 - 591)*(-2*b - 11*b + 10*b)*(3*b - b - 3*b) to the form i + d*b**2 + y*b and give d.\nAnswer: 2565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from vyyyvvvvytyyvy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n**2 - n - 17. Suppose q + 6 + 2 = 0. Is x(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 4*w**2 - 12*w - 13. Let c be j(-8). Let i be c\/(-3) + 1\/3. Suppose 4*v = o + 138, 3*o - i = -2*v + 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7388 - 656 + 1646)*(0 + 0 + t**2).\nAnswer: -6398*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -109?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13374875 divided by 4?\nAnswer: 13374875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/105*16*6\/(-4))\/(874\/(-133))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 151*j**4 + 45*j**2 - 46*j**2 - 64*j**4 + 2*j**3 - j**3 in the form p*j + q*j**3 + d + k*j**4 + g*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/20 - 1)*44\/((-1144)\/4485) and 43\/2964.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375.579 centuries to years.\nAnswer: 37557.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -15. Suppose 453 = a + 125. Let f be (-5*(-8)\/60)\/(a\/12). Is l at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/5*o + 4\/5*o**2.\nAnswer: 4*o*(o - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/107, 8, 27, -4, -1, 2, 25 in increasing order.\nAnswer: -4, -1, -2\/107, 2, 8, 25, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*o + 3*m, 0 = 3*o - 4*m + 6 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**3 - 7*r**2 + 73*r - 124. Calculate g(4).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -19*r + 18. Find the second derivative of 4*j**r + 3*j**4 - 2*j + 18*j**5 - 3*j**3 - 47 - 3*j**4 - 3*j**3 wrt j.\nAnswer: 360*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 1 + 9. Suppose -h*a + 5*f = f - 66018, 2*a - f = 66003. Let y be (-3)\/(-3)*1 + a. What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12742, 5, 14 in descending order.\nAnswer: 12742, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271 (base 8) to base 12.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saaj when four letters picked without replacement from stjtaaaaasjjssssaaas?\nAnswer: 49\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 2*k)*(k**2 + 5*k**2 - 9*k**2).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17613 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*y = -4*y + 30, -q + y = -6. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v - 20. Suppose -21 = -5*x - 4*f - v, 2*x - 2*f = 20. Calculate the least common multiple of x and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.01413 tonnes in milligrams?\nAnswer: 61014130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/5040 + v**6\/360 + 23*v**5\/60 + 41*v**2. Let g(t) be the third derivative of a(t). Determine g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -82, -126, -174, -226, -282?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62623236*t**2 - 160089207*t wrt t.\nAnswer: -125246472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138564*t**3*z - 90*z + 635 wrt t?\nAnswer: -415692*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/17, 4, 21\/67, -0.4 in increasing order.\nAnswer: -0.5, -0.4, 2\/17, 21\/67, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 780*w**2. Let j(s) = 239844*s. Determine j(y(n)).\nAnswer: 187078320*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*p - 0*p + 122, -4*d - 4*p - 200 = 0. Let c = 48 + d. Is (-890)\/6*(c - (-25)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-896)\/(-12))\/(-7)*13446. Let k be s\/(-28) - (-2)\/(-7). Let m = k - 51279\/10. Calculate the common denominator of m and 149\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32938 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let o(d) = -2548639*d**2 + 4. Calculate w(o(r)).\nAnswer: -2548639*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f*s*z**2 + 6*f*s*z - 1154*f*s - 628*f*z**2 + 2 wrt z?\nAnswer: -12*f*s - 1256*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44 + 0)*(5 - 24). Suppose 4*z = -3*k + 1134, 0 = 2*z + z - 5*k - w. Let u = z + -1417\/5. Which is bigger: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, 4, 6, 2 in descending order.\nAnswer: 6, 4, 2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:03 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -5 + 25 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*d - 118*d - 30. What is the common denominator of (78\/160)\/(d\/100*5) and 89\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56793 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 16 = 131. Let m be 2562\/(-4 + c)*(-5)\/(-10). Calculate the greatest common factor of m and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1101627041 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 3*c**2 - 1. Let w be o(3). Is (-4)\/(-8)*(w - -77) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 15*m - 22 - 36*m + 13*m wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m + 115. What is y(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x + 8 - 2 - 6 + (4 + 0 + 11)*(-x + 0*x + 2*x) in the form h*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116012171155317 + -0.1?\nAnswer: 116012171155316.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 8*l - 21*l - 8 in the form z*l + u and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5502 divided by 917.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 7085?\nAnswer: 35425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 24950052?\nAnswer: 274450572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2023.8?\nAnswer: -8095.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14226497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6916099633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 59*b. Let r(y) = -1400*y. Let s(k) = -24*l(k) - r(k). Let v(p) = 534*p. Calculate s(v(z)).\nAnswer: -8544*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**14)\/z)*z\/(z*z*((z*z**(11\/5))\/z)\/z*z))\/(z*((z\/(z**9*z))\/z)\/z*z**(4\/11)) assuming z is positive.\nAnswer: z**(1179\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = 2*f. Let t = 1 - f. Suppose -t*k = -3*a + 28 + 15, 5*a + 3*k = 78. Calculate the greatest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132011124431 + 3?\nAnswer: -132011124423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 490, 743, 996, 1249, 1502?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -301. Let u = 94 + m. Let p = 74 + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/231)\/(-7) - ((-40)\/(-15) + (-14385)\/4851)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*(g\/g**(1\/2))\/g)**(-2\/41))**46)**(1\/14))**(-36) assuming g is positive.\nAnswer: g**(2484\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33128845 divided by -5\nAnswer: -6625769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**3 + 24*m**2 - 51*m + 30 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-10 + -26 - -26 - (-7 - 2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (327 - 334) + (13 - -1) + -3 + -2 - 27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -31 - -22) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**3 - 9*d**2 + 12*d - 13. Let u(x) = 2*x. Let o be u(-3). Let l(t) = -5*t**3 - 4*t**2 + 6*t - 6. Determine o*a(k) + 13*l(k).\nAnswer: k**3 + 2*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by -469.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f*f)\/(f\/f**5)*(f*f\/f**1)**(-50) assuming f is positive.\nAnswer: f**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -310 + 320. Suppose c + 216 = f*c. What is the highest common factor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = -4*r + 4, -h + 4*r = -2. Let t = h + 20. Suppose 0 = 6*k - 148 + 28. What is the smallest common multiple of k and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220021 - -12?\nAnswer: 2220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**14\/m)\/m)\/(m**(-4)\/m) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**18\/(j**(3\/7)*j\/(j*j**(2\/9)))*(j**(1\/4)*j)**(-3\/32)\/(j**(-2\/3))**(-15) assuming j is positive.\nAnswer: j**(-125941\/40320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38809601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -3.6. Let q = v + 7.87. Let w = q + -0.27. Which is smaller: w or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4541099.28 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 75?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 12*q - 18. Let p be x(12). Let o = 18 + p. Suppose o*m + m = -2. Which is the nearest to m? (a) -0.3 (b) -3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11455 and 9512.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.75 * -1560\nAnswer: 16770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2848 by -4.\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + 0*u + (1 + 0 + 0)*(3*u + u - 3*u) + 0*u + 3*u - 4*u + (2*u - 3*u - u)*(-2 + 3 + 0) + 3*u - u - u + u + 3*u - 5*u - 115*u - 236*u + 490*u.\nAnswer: 135*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0.3, 2\/13, 3555 in decreasing order.\nAnswer: 3555, 0.3, 2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Let r = z + 5. Suppose -r*q + 0*q = -155. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2525983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - k = -478, h - 126 = 3*k. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(162) + -2)**2.\nAnswer: 54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*f - 19, 2*j - 23 = -f - 2*f. Let z be (-390)\/42 + f - 46\/(-14). Solve z*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q - 23. What is z(-13)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11.1. Which is the third smallest value? (a) -3\/5 (b) -0.3 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (84 - (65 + -21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1080\/432*(-4)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 = -40*v + 3*v - 138*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.345 - 0.175. What is n rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138702 + 2\nAnswer: 138704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + k - 7 = 0, 1795*k - 1791*k = 5*t + 28 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244452 is divided by 61078?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99565*l**5 + 6*l**4 + 6*l**3 + 9*l**2 - 231895*l?\nAnswer: -5973900*l**2 + 144*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 - 7 = 0. Let o(t) = t**3 - 2*t**2 - 5*t - 3. Let u be o(4). Let r = -5 + u. Solve 3*l + q = 3*a + 7, -r*a = -l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*c = -5*c - 1, -u - 1 = -5*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 173. Is 31 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432) - sqrt(3) - (0 + sqrt(27)).\nAnswer: -2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -388 + 388.1. Let i(j) = j**2 - 4*j - 5. Let z be i(-5). Let y be ((-20)\/z)\/((6\/(-20))\/(-1)). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:24 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242509743?\nAnswer: 3, 7, 17, 226433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -267? (a) 1.5 (b) 0.3 (c) 47 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - s)*(-2*s + 2*s - 2*s) + (-30 - 9*s + 30)*(20 - 20 + 3*s)*(3 - 5 + 3).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 7 - (-5)\/(10\/(-4)). Let w(a) = -2*a**2 + 3*a - 3. Let p(u) be the second derivative of u**3\/6 - u**2\/2 + u. Calculate f*w(j) - 3*p(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l - 14*l + l. Suppose 0 = -4*j - 4*y, 5*j + l*j + 2*y - 6 = 0. What is the smallest common multiple of j and (-1*3)\/((-2)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1426*h - 62518 + 145226 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 2. Let a be n(-3). Let m = 1380\/13 - 106. Put m, 2, a in decreasing order.\nAnswer: 2, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbvbyvyvbvyv. Give prob of sequence wy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 15*m**2 + 44*m + 51. Calculate f(-10).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c - 8119 + 49*c - 4162.\nAnswer: -4*c - 12281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxl when three letters picked without replacement from {h: 2, x: 4, l: 1, g: 1, z: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.815605 nanoseconds?\nAnswer: 0.002815605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -200.6954616 and -9.98?\nAnswer: 190.7154616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q. Let z = -2147131\/120 + 17893. Let b = z - 1\/24. Is b at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.161 - -3.161. Put -0.4, s, -3\/8 in decreasing order.\nAnswer: s, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + 13 + -5 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 168823 + 10*a**3 - 168883 + a**3)*(-3*a + 3*a + a).\nAnswer: 11*a**4 + 2*a**2 - 60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.877 + -8.877. Which is the third biggest value? (a) u (b) -0.058 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77680*m**3*s - 2*m**3 + 191*s - 589 with respect to m.\nAnswer: -233040*m**2*s - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94711951?\nAnswer: 94711951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvvvfktyvtk. Give prob of picking 3 f and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4082883 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/55*1*33?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12946 - -271648\/21. Let z = r - -32\/3. Suppose 2\/7*u**2 - 2\/7*u**3 + 2\/7*u**5 + 0*u + 0 - z*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128.000128 - -128. Round d to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 154. Suppose 3*w - 5*k - y = -0*w, -4*w = 2*k - 76. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let i(g) = 1702 - 572 - 570 - 561 + 5*g. Determine -i(w) + 2*s(w).\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785797.\nAnswer: 13, 137369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - f**3 + 56*f - 54*f - 5*f**3 - 2 to the form j*f**2 + t*f**3 + y + p*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.19, -0.3, 6\/5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69b - -dd?\nAnswer: -5ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 105902679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 504*x**2 - 28224*x + 526848 = 0. What is x?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000876 rounded to five dps?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 3, j: 3, i: 1, k: 1}. Give prob of sequence ji.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465581129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 6479920?\nAnswer: 58319280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-191 + 163 + 2499)*(0 + 5 - 3)*(-4 - 3*l + 4) as z + o*l and give o.\nAnswer: -14826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + z + 20 - 21*z + 10*z. Suppose 333 + 162 = 54*f - 9*f. What is p(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5 + 1000*a**4 - 83664*a**3 + 2369816*a**2 - 2287148*a = 0.\nAnswer: 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*u, -175 = -4*o + 4*u + u. What is the remainder when o is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184243 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/168 - 80\/70. Let j be (-5)\/(-50)*-1*4. Which is the closest to 0.1? (a) j (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 117 + 303 = 0. Calculate the highest common divisor of b and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117597 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13696.6906 rounded to the nearest integer?\nAnswer: -13697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**2 - 11*q**2 - q**3 + 9*q**2 - 10*q**2 + 3 + 0*q**3 to k + o*q**3 + z*q + h*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/(3*((-112)\/42)\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*c = -1 - 2, s = 2*c + 4. Suppose -10*w + 8*w = s. Sort w, 5, -6 in descending order.\nAnswer: 5, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 111?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (56 + (-2 - 0))*56\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 + 243*x - 2636. What is j(10)?\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjjjnnjjjjjjjjjjn. Give prob of picking 2 j and 1 n.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:00 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 199222210414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 0*c + c, -5*k - c + 5 = 0. Suppose -2*r + 236 = -4*y, k*y - 3*r = 17 - 131. Let p = y + 89. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/z)\/z*z)**25*(z\/(z*z*z*z**1*z))**(-3\/17) assuming z is positive.\nAnswer: z**(-2041\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310795.\nAnswer: 5, 61, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Suppose -q = -n - 3. Suppose 81 + 63 = q*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.5, 16, -3\/5, -4\/55?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3206077 + -2?\nAnswer: -3206101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**3 - 32*b**2 - 3. Let s(h) = -27*h**3 + 63*h**2 + 7. Give -3*s(r) - 7*z(r).\nAnswer: -17*r**3 + 35*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478154623?\nAnswer: 11, 61, 2202913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 + 4*d**3 - 8*d**2 - 12*d**2 + 17*d**2 - 2*d**4 as q*d**3 + n*d + p*d**4 + o + j*d**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21*(239 + -246)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217408957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 65\/10)\/(8\/((-128)\/(-6))). Which is the smallest value? (a) k (b) 0.1 (c) 0.17 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -2789.\nAnswer: 44\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29809.42 rounded to the nearest one hundred?\nAnswer: -29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/3*(-2 + 145\/140)*(-7)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284857 is divided by 1563.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdddedudud. What is prob of sequence zz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 33 = 3*n, 2*n = 10958*h - 10953*h - 6 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 388. Let o = g + -16. Is (-2)\/((-4)\/o)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6 + 1 + 4*j**2 + j + 7 - 5*j**2. What are the prime factors of t(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396) + -3)**2 + 0 + (6*sqrt(132)*-1)\/(-1*sqrt(768)).\nAnswer: 291*sqrt(11)\/4 + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -29*i - 292. Let u be z(-10). Let o be 3\/1 - ((-3 - u) + 1). Solve l + 2*q - 10 = 4*q, -o = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -159*j + 21. Let d(s) = -16*s + 2. Let f(r) = 21*d(r) - 2*p(r). Let q(m) = 2*m**2. Calculate q(f(u)).\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 691631178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-296) + (-2)\/32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 170.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 493*z - 9. Let q(b) = 245*b - 5. Determine -4*h(w) + 7*q(w).\nAnswer: -257*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5088 and 652271.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -56. Sort a, 2\/5, -2 in decreasing order.\nAnswer: 2\/5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -3*a, -2*a + 14 = 5*m - 10. Let y be ((-1)\/(-2))\/(a\/(-3)). Let f = -36.9 + 37. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-7))\/((-22)\/77).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*b + 11, 0*j - 5*j + 5*b - 20 = 0. Let q be 3\/j*(-6)\/9. Solve -15 = 3*k + q*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265*s - 12 = 1259*s - 3*d, -5*d = 2*s - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -131 and 4.7?\nAnswer: -615.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7024642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x, 2*q + 3 = -q - 3*x. Let l be (11 - (q - -2))*3. Suppose 3*j = l + 72. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3390 and 59\/96.\nAnswer: 54240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Suppose 0 = -3*l - 2*k - k + 3, -2*k - 12 = -j*l. Solve l*b = -3 + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25422*d = 25433*d - 10098. What is the remainder when d is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.108019*-0.21\nAnswer: -0.02268399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9366 and 34342.\nAnswer: 103026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dydy when four letters picked without replacement from {y: 6, d: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -9\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23277 - -23288. Solve c = -5*f + 2*u, 4*f - 84 = 4*u - 88 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -25. Let z be (-3)\/18*-2*543. Let m = -71 + z. Calculate the highest common divisor of m and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + 2. Let z(a) = -991*a**2 + 2*a - 12. Determine 6*u(g) + z(g).\nAnswer: -1015*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -6) + -5 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80070332.\nAnswer: 2, 19, 1053557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 4\/33, 2 in ascending order.\nAnswer: -1, 4\/33, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 4516567\/8?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -112 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7234.8 - 90135.53858\nAnswer: -82900.73858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 41510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*f**2*w**2 - 11*f**2*w + 7325*f*w - 4482*w**2 + 108*w wrt f?\nAnswer: -24*f*w**2 - 22*f*w + 7325*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w - 5. Let p(y) = -39*y + 9. Let l(r) = 5*d(r) + 2*p(r). What are the prime factors of l(11)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 8*y + 3. Determine w(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*r**2 - 67 + 77*r**2 + 3*r**3 + 212*r.\nAnswer: 3*r**3 + 212*r - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3170.519 + -3169. What is f rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281071667 or 281071666?\nAnswer: 281071666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n - 12*n + 8*n)*(-3*n - n + 5*n) + (2*n + n - 2*n)*(3 - 3*n - 3) to the form p + k*n**2 + h*n and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 13*k - 6. Let b(f) be the first derivative of f**2\/2 - f + 395. Determine 5*b(t) - l(t).\nAnswer: -2*t**2 - 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 5. Let c be d(-3). Solve -1 + 5 = c*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpy when three letters picked without replacement from yuphhyhhyuphpyh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336996485, 336996490, 336996497, 336996506, 336996517, 336996530, 336996545?\nAnswer: 336996562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - (2 - 3)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7533*t + 252217 + 262523 = -4905*t + 5951*t for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 11*h - 41. What are the prime factors of g(-17)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*v**3 + 603*v**2 - 603*v**2.\nAnswer: -149*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -629?\nAnswer: -62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 834 and 1616987?\nAnswer: 9701922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26964.34 - 26958.219382. Let g = c + -6.12. What is g rounded to five decimal places?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*v - 4*v = 0, 256*v + 163 = 4*o + 82*v + 102*v + 92*v + 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4688033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - 2 - (15 - 7) - (-103 + 122).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 13*w + 3, 0 = -4*g + 3*w - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/3)\/(-108)*12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wetettotwtoottoeoot. Give prob of picking 1 e and 3 t.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 903, 896, 885, 870, 851, 828, 801?\n\"Answer: -2*f**2 - f + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1617)\/(-441)*(-14)\/(-6545)\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31530 (base 6) to base 7.\nAnswer: -15354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 33*i. Suppose 292 = 5*k - 2*l, 5*k + 0*l - 288 = -2*l. Let t(u) = 51*u + k*u - 108*u. Determine c(t(z)).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146.7 - -4.8. Let h = o - 152. Which is the nearest to 2\/7? (a) h (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220197 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from {h: 5, z: 10, j: 2, r: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -38*l + 78. Let r be y(10). Let f = -292 - r. What is the lowest common multiple of f and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 21*s**2 + 40*s + 41. Let z(f) = 8*f - 227. Let d be z(26). Let u be o(d). Calculate the highest common factor of 129 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721347899 is divided by 9100?\nAnswer: 9099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1 + -1*sqrt(252) - ((sqrt(252)*-1 - sqrt(252)) + 0))*-1)*4)**2.\nAnswer: -576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69489853*r**2 - 246602213.\nAnswer: 138979706*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = a - 3, 3*v - 260 + 275 = 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.007 - -5.007. Put 7\/4, m, 0.3 in decreasing order.\nAnswer: m, 7\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/s**(-2\/9)*s))*s*s)\/(s*s**(3\/5)) assuming s is positive.\nAnswer: s**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 0.06. Let o = -232 - -231.07. Let x = o + k. Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7441 - -7427.979. Which is smaller: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -9*w - 120. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15410, -30653, -45896, -61139, -76382?\n\"Answer: -15243*t - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a (base 14) to base 3.\nAnswer: 102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 19*r + 14. Let i be ((-4)\/(-1))\/4 + 2*1. Let u(g) = -g**2 + 10*g - 7. Let o(p) = i*t(p) + 5*u(p). What is o(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(2652\/(-20220)) - (-2)\/(-17). Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**1\/a)\/a)\/(a*a**(-7\/5)))\/(a**(-4\/3)*a*a*a\/a**(1\/8)))**(-37) assuming a is positive.\nAnswer: a**(9509\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**4 - 68*b**3\/3 + 160*b**2 - 256*b - 8. Factor t(k).\nAnswer: 4*(k - 8)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/4 + a**3 + a**2 + 5*a + 7. Let t be g(4). What is the tens digit of 5\/(t\/(-63)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455151 (base 7) in base 10?\nAnswer: -81033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -57*c + 20. Let y(b) = -51*b + 23. Calculate -4*u(o) + 3*y(o).\nAnswer: 75*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 234*o**2 - 55*o + 109. Is i(72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -85, -328, -733, -1300, -2029, -2920, -3973?\n\"Answer: -81*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 16*v + 62 = -2*l, 0 = -5*v + l + 143. Let y be (-12)\/28 + 68\/v. Suppose 0*k - 3*k + 9 = 0. Solve 0 = -2*o - q - 7 + k, -y*o - 4*q + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q**2 + 4*q + 4. Let m be o(-4). Let r = 38 - m. Let a = -10 + r. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/9)\/60*-1*4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-804)\/(-48)*12\/15. Let u = -398 + m. Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47167536\/(-2421)*-3*1?\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.2. Let f be 2*(102\/(-24) - -4). Put 5, f, t in decreasing order.\nAnswer: 5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvi when three letters picked without replacement from vvviivvviivvvvvivv.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32662)\/(-63) + (-12)\/27. Let a be (-1)\/(-6) + g\/(-84). Let y(u) = 7*u**2 + 2. Let c(p) = 20*p**2 + 6. Determine a*c(i) + 17*y(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/2 - 4*r**3\/3 - r**2 + 1. Factor o(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.86 + 2.36. Which is the nearest to -0.23? (a) -1 (b) y (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 9*j**2 - 131*j + 448. What is a(3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 431*i**3 + 3*i + 4*i**2 - 429*i**3 - i**4 - 5*i**2 - 2 in the form s*i**2 + j*i**3 + r + z*i + t*i**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 18, 23?\n\"Answer: 5*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -373292827?\nAnswer: 373292823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -628 - 346. Let k = -2021\/2 - u. Calculate the common denominator of (99\/(-8) - -3) + -3 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6 + 3 + k**3 - 25*k + 29*k - 6*k**2. Is d(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k**5 + 27*k**2 - 8. Let r(o) = 11*o**5 + 18*o**2 - 5. Let h(y) = 5*p(y) - 8*r(y). Find the third derivative of h(f) wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183555551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14104799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeoeeoeeeeeee. Give prob of sequence ooee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) -3\/2 (c) 1\/56045 (d) -2\/3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2624*v**2 - 37*v - 190. What is the hundreds digit of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 6. Suppose d + 23 = 4*a, -3*d + 47*a - 48*a + 22 = 0. Let k(n) = -n - 12. What is d*i(w) + 3*k(w)?\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbbqbbbbbbbb. Give prob of picking 1 q and 3 b.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v**3 + 206861*v**2 + 91940*v = 0. Calculate v.\nAnswer: -4\/9, 0, 22985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 24 = 4*x + 4*d, -3*x + 22 = d. Suppose x = -6*s + 8*s. Let y = 1 - 1. Which is the second smallest value? (a) -3 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1)*(4 - 7). Let z be (15\/r + 0)*-3. What is the second derivative of z*s**3 + s + 6*s - 2*s wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 l, and 1 a when four letters picked without replacement from {c: 12, l: 2, a: 5}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226027821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2250667*l**4 - 72*l**2 + 68984 wrt l?\nAnswer: 54016008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -78*y**3 - 4*y**2 - 4*y - 988. Let m(d) = -79*d**3 - 3*d**2 - 3*d - 988. Let w(u) = 3*b(u) - 4*m(u). Find the first derivative of w(h) wrt h.\nAnswer: 246*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 - 5. Let g = -5 - -4. Is g at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 + 30*t + 17. Let o be d(-7). What is the highest common factor of o and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11175 is divided by 5561.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/5, -224, 1.16, 0.4, 0.3, -0.4, -4\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -23*d + 17. Suppose -10*n + 16*n = 0. What is the third smallest value in -1\/4, n, -1, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-72)\/(-15)*10\/4. Let i be 45\/f*10*(-48)\/(-20). What is the greatest common factor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c - 4. Let q = -14 - -18. Is z(q) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-40)\/(-100)*(0 + (-3265)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 61*u + 3. Let m(x) = -51*x - 2. Calculate -4*m(j) - 5*s(j).\nAnswer: -101*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13065820 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 40. Suppose 70 = h + h. Let f = h - 25. What is the lowest common multiple of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.3, 2, 1\/4, -4, 3, -0.1, 0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-19698041.\nAnswer: -21667845.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.84205g in kilograms?\nAnswer: 0.02984205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*r + 26 = 4*z + 123*r, -r = -2*z + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -0.08495, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 391989*x + 391989*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 215\nAnswer: 48\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from wlbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (88 - 9*z - 88)*(2 + 36 + 0 - 6) in the form w + c*z and give c.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/5 + 742082666*g\/5 + 137671670794416889\/5 = 0. Calculate g.\nAnswer: -371041333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-34)\/4). Let l(r) = -297 + 103 + r**2 + 145. Let b be l(7). Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 153*i**3 + 3*i**2 - 51*i + 2. Let g(j) = -76*j**3 - j**2 + 21*j - 1. What is 5*g(p) + 2*l(p)?\nAnswer: -74*p**3 + p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**3 + 11*v**2 + 14*v + 1. Let w(c) = 2*c**3 + 4*c**2 + 5*c. Let b(a) = -4*o(a) + 11*w(a). Let l(j) = j**3 - 5. Give -3*b(y) + 2*l(y).\nAnswer: -4*y**3 + 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73175.\nAnswer: 5, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*c**3 - 12*c**2 + 11*c**2 + 5*c**2 - 92*c**3 - 821*c**3.\nAnswer: -c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 59*x + 334. Calculate the remainder when r(24) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -54, 0.5, 4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78, 159, 236, 309?\n\"Answer: -2*h**2 + 87*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17423597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 7*w + 16*w - 4*w to z + g*w and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1)*1 - (1*(1 + sqrt(1053)))**2 - (0 + sqrt(1053) + 1 - (sqrt(1053)*-1*5)**2).\nAnswer: -18*sqrt(13) + 25269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/3 - 830*u**4\/3 + 84854*u**3\/3 + 87362*u**2.\nAnswer: 2*u**2*(u - 209)**2*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111100101010101 (base 2) in base 11?\nAnswer: -66636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 16, -44, -2\/13, -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 + 2 = 0. Let u(m) = -m**3 + 14*m**2 + 2. Let q be u(14). Let t(a) = -a + 6. Let h be t(4). Solve -q = o + g*b, -h*o + 0*b = 2*b + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2056103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 2*j + j. Let b = -51 - j. What is the closest to 4 in 2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 2, p: 3}. What is prob of sequence peen?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-10))\/(2\/(-4)). Let d(w) be the first derivative of 4*w**3\/3 - 3*w + 24. Let l = 3 + -13. Let y(k) = 12*k**2 - 10. Give l*d(i) + z*y(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703851763 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24 and 57\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 215544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-168)*-14 - (120\/80)\/(6\/68).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 161128872?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451 + -211. Suppose n + n - s = 0. Let x be (-4)\/(-6) - (-86)\/6. Calculate the greatest common divisor of n and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 461, 1488, 3485, 6776?\nAnswer: 11685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/92 + (-9)\/(-4). Let l be (-3 - (-480)\/78) + x\/(-13). Solve 2*w - l*k - 5 = 0, -k - 11 = -0*w - 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3468 + -1816. Suppose -i = -5*x - 3*n, 2*n + 347 - 1669 = -4*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/121 + -4870\/19481. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 145. Let d(j) be the second derivative of 0*j**p + 0 - 1\/3*j**3 + 1\/20*j**5 + j - 1\/12*j**4. Let d(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75793 is divided by 25246?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*p + 251 - 251)*(2*p**3 + p**3 - 5*p**3) + 6*p**4 - 3*p**4 + 2*p**2 - 3*p**2.\nAnswer: -269*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-12)\/(-45) - 1. Let m = -5131\/5 - -1026. Sort p, -4, 1, m.\nAnswer: -4, m, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 <= 15779\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(-7\/2)*z)\/z)\/z)\/z*z)\/z**(2\/51))\/((z*z*z**(-7\/10))\/z)**(1\/51) assuming z is positive.\nAnswer: z**(-904\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) 0.5 (c) 4 (d) -1013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 10*j**3 + j**4 - 8*j**3 - 2 - 3*j + 0*j**3 in the form t*j**4 + r*j + a*j**2 + m + b*j**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3*y - 4. Let d be -1*5\/(10\/12). Let v be m(d). Let r = -11 - v. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 924 = -5*u - 0*u, 0 = -4*c - 4. Suppose -u = -b - 43. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101221 + -1011122001201?\nAnswer: -1011121122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -14 - (-119 - -58 - (-9 + (8 - 13)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033546 to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/4 + 5*o**2\/4 - 2*o + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -2*g + 8, -2*g - 2 = -2*u. Suppose -25 = -u*s + 23. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from yiyiyyyy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 1, l: 1, s: 2, x: 1}. What is prob of sequence ln?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = -8. Let v be (1 + 0\/(-1))\/((-2)\/(-18)). Suppose v*p = p + 336. Solve -2*b + 2*a = -r, -5*b - p = 3*a - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 442833091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426 - -1649\/4. What is the common denominator of p and ((-78)\/8)\/((-42)\/96*4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -27. What is the second biggest value in 1\/4, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 3. Let q(r) = 9*r + 1. Let z = 4 - -1. Calculate the smallest common multiple of z and q(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4384525.\nAnswer: -4384525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 813656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4816622 - 1605548 - 1605524 - 1605550 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/60 - f**4\/8 + 2*f**3\/3 + 7628*f**2. Calculate r(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*k - 18*k - 4433891 + 4433829 to a*k + b and give b.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b - 4. Let h(k) = -k**2 - 5*k + 3. Let q be h(-4). Let a(u) = u - u**3 - q*u**2 - 7*u + 2*u**2 - 4. Determine a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24 - 2)*45\/90)\/(1 + -29). Let q be 0*(2\/4 - 1). Is l >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10204*y**3 + 318*y + 93078558 wrt y?\nAnswer: 30612*y**2 + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.5 - 10. What is the nearest to -1 in s, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {n: 2, w: 4, i: 6, z: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 68 - 28 = 0. Calculate the remainder when 0 - -2 - -15*2 is divided by 4\/8 - 105\/o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - sqrt(57)*2)*4 + sqrt(3648)*3 + sqrt(3648))\/((-6*(sqrt(108) + sqrt(27)))\/(sqrt(324)*1 + sqrt(9))).\nAnswer: -98*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*y = -172*y - 13. Let n be 2\/36*3*1. Is n not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 0 (c) -3 (d) -16 (e) -31\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 5. Suppose -d - 5 = -11. Let k be p(d). Suppose -5*z + 22 = 4*r, 3*z + 5 = 3*r + 2. Sort 0, z, k in descending order.\nAnswer: z, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*m + 11*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2*p**3 - p**4)*(2*p + 49*p + 12*p) + 4*p**3 - 4*p**3 - p**5.\nAnswer: -64*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + (-370)\/40 + -2 + 37\/4. Solve -9*p + 7*p - 18 = 3*q, -q + d = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79287251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 - -128.2.\nAnswer: 291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.7 * 0.3.\nAnswer: 19.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-2 + 2 - 2*b)*(2*b**2 - b**2 + 13*b - 10*b).\nAnswer: -2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 8*a**2 - 9*a + 13. Let f be h(9). Let y(j) = -2*j**2 + 25*j + 17. Let u be y(f). Solve 2*v - n - 20 = -6*n, -n + u = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -42?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 46 + 26 = -12*y, 19 = y - 6*y + 2*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 7*d**3 + 13*d - 8*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11363 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h - 2 = 0. Let m be (0 - -3 - 61)\/h. What is the remainder when 24 is divided by m\/2 - (-3)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 45 - 26 = -27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221.1 - -208. Let r = g + 13. Which is greater: -0.8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*r + 143309 - 852381. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2752148, -49 in descending order.\nAnswer: -1, -49, -2752148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -18 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -700, -2045, -4046, -6697, -9992?\n\"Answer: h**3 - 337*h**2 + 321*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/3))**1 assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(48) + 0).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198782251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1773100, -3546251, -5319402?\nAnswer: -7092553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 154, 523, 1248, 2449?\n\"Answer: 20*p**3 - 2*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjjkkvjhjhjhjjv. What is prob of picking 2 k and 2 j?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r - 4102 = -32*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861788723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*g + 697, -5*g + 2*b + 1739 = b. What are the prime factors of g?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 190. Let l(n) = 0*n - v*n**2 + 4*n + n - 6*n**2. Let q(u) = -4*u**2 + 3*u. What is 3*l(k) - 5*q(k)?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/10*30\/18. Suppose 2*h - 5 = f, -h = f + u*h - 15. Suppose f*z - 287 = -38. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:16 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2620, -8, 2, -4, -2, -1 in decreasing order.\nAnswer: 2, -1, -2, -4, -8, -31, -2620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:12 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 - (-3)\/63. Suppose -5*d - 3 = -l - 0, 0 = -3*d - l - 5. Let w(t) = -6*t**2 - 2*t - 1. Let y be w(d). What is the closest to q in 4, y, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, 22, 5, 3959 in increasing order.\nAnswer: 0, 5, 20, 22, 3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10)*-3))**2 - (sqrt(13) + -4)**2*2.\nAnswer: -509\/9 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:41 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5596?\nAnswer: -1\/5596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -25.4. Let t = -483.9 - -475.872. Let d = 0.028 + t. Which is the third biggest value? (a) d (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 533 in 0.012, 18\/35, 0?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 362396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55812 + -3013763\/54. Find the common denominator of 86\/21 and g.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -10 - (17 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*c + 15, 2*g + 0 = -2*c - 6. Suppose p + 3*m - 5 = g, m - 5*m = 0. Solve 0 = p*f + 15 + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = 3. Let c(z) = 0*z + 2*z - 7*z + 3*z. Calculate c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86 - 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8284616.\nAnswer: 2, 241, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 776\/10 + (-12)\/20. Let r = t - 24. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-16)\/(-2)) + -1. Let y(d) = -2*d - 12. Let n be y(p). Suppose -l - 5 = -n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a95a (base 12) to base 3.\nAnswer: 12011100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**4 + 4*x**3 + 18*x**2 - 4. Let l(o) = -2*o**4 - 5*o**3 - 19*o**2 + 5. Let t(v) = -5*j(v) - 4*l(v). Find the third derivative of t(s) wrt s.\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6484 + 6354 - 140*i - 22*i. Is s(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or 1611.44?\nAnswer: 1611.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 647 + -648. Sort 2, 4\/9, 107, t.\nAnswer: t, 4\/9, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 29610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -499 + 502. Suppose -b + 25 = 2*q, w*b + 10 = 2*q + 7*b. What is the remainder when 86 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -11 + 15 + 0 - 5 - -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db - -1552a?\nAnswer: 1544f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 5*g + 19 + g - 3*g. Let l be n(-8). Solve 4*a = -m - 4 - 1, l*m + 8 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 3. Let i be a(-9). Let p be 16\/i*(-12)\/8. What is the units digit of ((-25)\/(-20))\/(1\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 275\/92259?\nAnswer: 275\/92259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*g**3 - g**2\/6.\nAnswer: -g**2*(66*g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -94, 3\/7, 6\/19, -0.1, 1\/3, -0.4, 131?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x\/(x*((x*x**(2\/13))\/x)\/x*x*x)))))\/x)\/((x*x*x*x*x\/x**(-15)*x)\/x) assuming x is positive.\nAnswer: x**(-245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80659 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 59*y + 136 = 0. Sort 0.08, 0.1, -1\/5, y in decreasing order.\nAnswer: 0.1, 0.08, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 divided by -1?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + m**2 - 1. Let f be g(-1). Suppose -2*s - 5 - f = 0. Find the common denominator of -83\/8 and ((-40)\/32)\/(26\/s).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d975 (base 15) to base 6\nAnswer: -2023215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 373250, 746594, 1119938, 1493282, 1866626, 2239970?\n\"Answer: 373344*m - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1838*0.04\nAnswer: -73.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 3*c + 140. Let w = 62 - c. Let d(i) = -i**2 - 12*i + 3. Let y be d(-8). Is y > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23548\/3 + 7848. Which is the closest to 58? (a) -0.4 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20301830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(30)\/sqrt(125)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + sqrt(5) - (-1 + sqrt(30)\/sqrt(6)).\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 11*x - 121 = 0. Let d(i) = 42*i - 248. Is d(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/8)*p**20*(p*p\/(p**(-15\/4)*p)*p*p*p)\/(p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(1747\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318642050*w**2 - 599660586*w wrt w?\nAnswer: 637284100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b - -33b9a8?\nAnswer: 33b949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10850\/13175*(-13)\/(-1456)\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 11*o + 3. Let a be c(-11). Suppose -2*k + b - a = -3*k, 4*b + 12 = 0. Solve -k = -3*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -290 - 238. Let v = n - 20. Let w = -61 + v. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 60*f**2 + 600*f + 935. Let d(y) be the third derivative of -y**5\/12 - 25*y**4\/12 - 13*y**3 + 166*y**2. Let g(s) = 25*d(s) + 2*k(s). Factor g(j).\nAnswer: -5*(j + 2)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1\/7*j**4 + 3\/7*j**2 + 4\/7*j**3 - 4\/7*j - 4\/7 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*f - 50 = 0, 4*s - 2*s + 2*f - 68 = 0. Suppose 0 = 3*j - j - 20. What is the remainder when s is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let q be f(3). Sort q, -4, -1.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25306, -51424, -77546, -103678, -129826?\nAnswer: -155996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3152 is divided by 160.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -493\/5. Suppose 2*f - f - 2*x + 8 = 0, 0 = -f + 3*x - 10. Which is the nearest to p? (a) f (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*c - 1018 = 0, 25 = -5*c + 15. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3)\/(1 + 0). Let x be (b - -2)\/(2\/(-2)). Let c(i) = 6*i + 1. Let g be c(-1). Put 5, g, x in decreasing order.\nAnswer: 5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -15189*p + 30366*p - 15190*p. Let q(h) = 3*h**2 + 7*h**2 - 2*h**2. Calculate q(v(g)).\nAnswer: 1352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**3 - t**2 + 0*t**6 + 0*t + 0 - 1\/840*t**7 + 1\/240*t**5 + 0*t**4. Factor i(f).\nAnswer: -f**2*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a + 1. Suppose -k - 4 = 0, -3*j + 0*k - 4*k = 13. Let p be q(j). Let n be (-25)\/p + 2\/3. Are n and -2\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*-5)\/((-2)\/(-248)). Round m to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + 0*a)*(0*a**2 - 2*a**2 + 0*a**2) + (2 - 2*a**2 - 2)*(-10*a + a + 3*a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -36, -37, -20, 21?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 179 = -4*f - 173, -2*o + 173 = f. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2370*g - 474. Let b(o) = 6*o - 1. Calculate 948*b(u) - 2*j(u).\nAnswer: 948*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 13*t**2 - 6*t - 9. Let n be l(7). What is the nearest to 1\/6 in 0.3, 0, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 31, 14, 15, 40, 95?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 224007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -625*o**3 - 82*o**2 + 138*o + 24. Let u(p) = -250*p**3 - 34*p**2 + 55*p + 10. What is -5*n(t) + 12*u(t)?\nAnswer: 125*t**3 + 2*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23838*a + 1388204 + 852568 for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose a*n - 3*q + q = 14, -3*n + 23 = -q. Suppose 0*r + n = r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0372 (b) -4\/5 (c) 0.1351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 47*s - 145. Let k(r) = -23*r + 73. Let f(a) = -13*k(a) - 6*z(a). Let j be f(5). Solve -o + 5*l = 1, 0 = -2*o - 2*l + 4 + j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35708 bigger than -35708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103880 divided by 7420.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5560138 to two decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202031131 (base 4) to base 2.\nAnswer: -100010001101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let j be x(3). Suppose -3*k = 4*r - 3, -2*k + j*r + 18 + 1 = 0. Suppose -21*i + 209 = -10*i. Solve -5*d + o + o + i = 0, 0 = 4*d - k*o - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 531.84?\nAnswer: 535.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -67, 0 in descending order.\nAnswer: 4\/9, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*y - 2201, 729 = d + 4*y - 0*y. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -42*d**2 - 1. Let c(p) = -19*p**2 - 16. Calculate c(l(y)).\nAnswer: -33516*y**4 - 1596*y**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*(-17 + 728\/42 - (-7638)\/36)?\nAnswer: -85\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 + 356 = 4*d + 3*o, -32 = -7*d - 5*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 3 - 1 + 0 - 11*l. What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 12 = 3*h - 2*i, -5*h = -5*i - 100. Suppose 2*d - h = -d. Let j(l) = 56*l - 84. Let w be j(2). What is the greatest common factor of w and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41620080.045186078 - -41620088.04. Let v = -0.005192878 - d. Let n = 8 + v. What is n rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*z + 18133, -38 = 2*n - 48. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = 12*u + 24. Do 38 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {j: 3, e: 1, b: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 84, 0.1, -1, 19, 109\/3, -0.3?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 9*y - 15*y - 13*y + 56*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -627909, -3, 78 in ascending order.\nAnswer: -627909, -3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3702*-2308\nAnswer: 8544216","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 452, 443, 428, 407, 380, 347?\n\"Answer: -3*k**2 + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phph when four letters picked without replacement from {p: 12, h: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-81) + (-1)\/(-3). What is the tens digit of l - (-4 + 8) - -714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*s + 14, 53*s - 5*r = 162*s - 173 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -553a262 + -7a?\nAnswer: -553a331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 776255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4062 + 4062 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6))\/(n\/((n*n\/(n\/n**(3\/4))*n)\/n*n)))\/((n*n**(-2))\/(n\/(n**2*n))) assuming n is positive.\nAnswer: n**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46950, -47403, -47806, -48135, -48366, -48475, -48438?\nAnswer: -48231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 67 + 0)*(1 + 1 - 4)*(-3*q - 5*q + 4*q)*(5*q**2 - 5*q**2 - q**3).\nAnswer: 592*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 62. Let i = v - 66. Which is the closest to 1? (a) 4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 24033625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111580 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1131 (base 9) to base 6\nAnswer: -3514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4847859mm in kilometers?\nAnswer: 0.0000004847859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 1869189120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13150139 to the power of 1\/2, to the nearest integer?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/4)*d)**(5\/16))**39 assuming d is positive.\nAnswer: d**(1365\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -19. Suppose 4*o = f*o + 20000. Suppose -9*x = -5*x + o. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -38*u + 1667. Determine v(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t - 15. Let v(k) = -75*k + 51. Let p(f) = 17*m(f) + 5*v(f). Let y(d) = 40*d - 8*d - 4*d. Calculate p(y(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 12*l**2 - 2*l + 11. Calculate the remainder when f(-12) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 308.99, 0.2, 0.5, 5, -1\/15, -0.2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 4*h + 22\/5.\nAnswer: -2*(h - 1)*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509, -644, -777, -908, -1037, -1164?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = -7*s. Suppose 4*u - 30 = -n + 3*u, s*u = -n + 36. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31675 and 2.\nAnswer: 63350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 45 - (-4 - (-6 + -15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3\/3 + 7*n**2\/2 + 12*n - 13. Let l be y(7). Solve 0 = 4*h + 5*s - s - 16, 2*h - l = -4*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -b - 3, 5*b = 3*i + 3*b - 6. Determine p so that i*p**2 - p**2 + 3*p**2 - 8*p + 2 + 4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800291 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from {u: 7, y: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -2 - (2 + 1). Let h = -0.0481 + -0.0519. Put 9, b, h in descending order.\nAnswer: 9, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5*t - t + 5*t)*(-1 - 5*t**2 + 1).\nAnswer: 5*t**3 - 45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -175038526 minus 0.1?\nAnswer: -175038526.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 61*p**3 + p**2 + 5*p - 3. Let g be a(2). Suppose g*d = 492*d + 1120. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.4 - -9.5. Let w = -7 + 2. Which is the nearest to o? (a) 3\/5 (b) 1\/10 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from dsq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1031*q + 13. Let b be m(-9). Let r = 3466 + b. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483465, 966926, 1450387, 1933848, 2417309, 2900770?\nAnswer: 3384231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 5. Let g(v) = v - 150. Calculate m(g(f)).\nAnswer: -5*f + 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*o - 30*o - 31*o + 16*o**3 to the form x*o + l + g*o**3 + t*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oydjodyydjyjyyyyjjy. What is prob of picking 2 j and 1 y?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 12158434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 1 - (271 - 250) - 22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320916 by 80229.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 14971?\nAnswer: 14970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 629*k + 4887. Determine f(-8).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (1*(6*(1 + sqrt(363)) + sqrt(363) - sqrt(363)) - ((sqrt(363) - (1*sqrt(363) + 3 - sqrt(363))) + -3))**2) + 5.\nAnswer: -36883 - 5280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -621347 (base 8) to base 3.\nAnswer: -101102221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 + 3740. Let q(k) be the third derivative of 3*k**5\/20 - k**2. Give q(u(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l - 6. Let d(a) = -3*a + 2. Let p(n) = -5*d(n) - 2*v(n). What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n**4 - 5*n**3 - 9*n**2 - 5. Let o(p) = 5*p**4 - 2*p**3 - 4*p**2 - 2. Let b(z) = -5*o(z) + 2*v(z). What is the third derivative of b(l) wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2516)\/748*2*(-22)\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*a - 35 - 11*a + a**3 - 9*a - a**2 - a**4 to p + y*a**3 + n*a + w*a**2 + q*a**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (4 + 0) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10148569 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((-6)\/(-36)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -1\/6, -3.24, 0.4?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -a49a (base 13) to base 2\nAnswer: -101100011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216\/42319 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/3 - 778*z\/3 + 776\/3 = 0.\nAnswer: 1, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -230, -389, -570, -785, -1046, -1365, -1754?\n\"Answer: -2*i**3 + i**2 - 148*i - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 202*f - 596. Determine d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6992 is divided by 2327.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465.7409 + 466.5208999. Let q = -0.78 + y. What is q rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*b - 790005, -2*b + 3*a = -0*b + 315985. Round b to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21516 + -21497. What is the nearest to 1 in 0.5, -0.08, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, -2, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6 and 11228?\nAnswer: 11232.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.1. Let s = g - 0.2. Let n = 280.9 + -281. What is the third smallest value in n, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 107. Let v be g(20). Find the second derivative of -132*a**2 + v*a + 10 - 6 - 4 + 95*a wrt a.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (3 - 7) - (-7 - (-7 - (-12 - -10))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + g - 17. Let q be j(-5). Let c(h) = h**3 - 2*h**2 - 2*h - 5. Let v be c(4). Suppose -q*z - 10 = -v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183583\/1254 - -1618\/11. Let d = -25751\/513 - -984\/19. Find the common denominator of d and z.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35131 - -54899. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31 - 4.31. What is the closest to -0.2 in 4, q, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*f**2 - 44*f + 24*f + 30*f.\nAnswer: 5*f*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + c**5 + 3*c**5 + (-2*c + c + 3*c)*(0*c**4 - c**4 - c**4) + 248*c**5 + 65*c**5 - 28*c**5 - 4*c**5 - c**5 + 3*c**5.\nAnswer: 280*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55087 + -274508\/5. Let f = -186 + x. Let k = -1674 + 1661. What is the second smallest value in k, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309 - -311. Sort -0.08, 0.1, 0.4, a in descending order.\nAnswer: a, 0.4, 0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10808 + 291767\/27. Calculate the common denominator of 101\/1275 and d.\nAnswer: 11475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/60 - 2*j**3\/5 - 18*j**2\/5 - 14*j. Suppose h(k) = 0. Calculate k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 + 2 = -10*t. Let m(z) be the third derivative of -z**4\/8 - z**3 + z**2. Let i(x) = -8*x - 17. What is t*m(y) + 6*i(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1 + 0 + 3*i**2 + 5*i - 1 - i**3. Let z = 2 + 2. Calculate k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11)*5 - (sqrt(11) + 1*sqrt(11)*-3))*6.\nAnswer: -78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3\/5))\/f*f)\/f**(-8))\/((f*f**(2\/11))\/f)**(-45) assuming f is positive.\nAnswer: f**(978\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 9. Let o be t(-11). Let c(v) be the first derivative of -o + v**2 - v - 1\/3*v**3. Factor c(u).\nAnswer: -(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + g = -3, 3*y + 0*g - 2*g - 2 = 0. Suppose y*k + 4*n - 14 = 6*k, -2*k - 5*n + 22 = 0. Is 14\/13 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*4*3\/36\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42613260 (base 7) to base 16\nAnswer: -3772da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1}. Give prob of sequence llb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(9240\/935)*4\/(8\/6).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13652 by 2444.\nAnswer: 3413\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - f - 121, 3*f + 51 = 2*m. Let v be (m\/198)\/(4\/6). Let d = 3\/11 + -20\/33. Which is the nearest to -1\/3? (a) v (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/132 + 60\/(-220)*-20?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90037 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151774549.\nAnswer: 1087, 139627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 0.47. Let c = o + 0.4. Let z = c - -0.15956. What is z rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 4*w**2 - 9*w - 5. Let u be o(-5). Let d = -18 + u. What is the biggest value in d, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 + 7*n - 8. Give u(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 1 + 0)*(m + m + m)*(0 + 11*m + 0).\nAnswer: 33*m**3 - 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 88 = -3*z, -3*h + 101 - 23 = 3*z. Let u(w) = -2*w + 25. Let m(y) = 2*y - 18. Let o(s) = 3*m(s) + 4*u(s). What are the prime factors of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 35. Let f be 6\/33 + -2 + 2. Sort l, f, -0.02 in decreasing order.\nAnswer: l, f, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:40 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8601278?\nAnswer: 2, 7, 614377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -39?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/705 and -29\/1633156.\nAnswer: 24497340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -649 - -648. Let x = -5 + 8. Which is the second biggest value? (a) x (b) -9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157914 = 894*t - 896*t + 2*u, t - 3*u = 78953. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42848 by 104.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 5*c - 16. Let n(o) = o**3 - 3*o - 8. Calculate -5*n(d) + 3*x(d).\nAnswer: d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.09, 1, -4 in decreasing order.\nAnswer: 1, -0.09, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4851 - 4813. Solve 17*d + 47 = -m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1287, 6583, 19691, 38031, 61597, 90383, 124383?\n\"Answer: -i**3 + 2625*i**2 + 2*i - 3913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -5*x, x = -3*m + 4*m + 4. Let h be 26\/16 + (0 - 2). What is the third smallest value in h, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 177 = 18*f + 2*x + 3*x - 0*x, -3*x + 99 = 10*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002152599 rounded to seven dps?\nAnswer: -0.0002153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:39 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.26 (c) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {a: 5, k: 7, j: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocas when four letters picked without replacement from ocuooocaoaacusou?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (708\/(-10620))\/(2 - (-38)\/(-18)). Sort -3, i, 0.032, 1, -1 in decreasing order.\nAnswer: 1, i, 0.032, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973 is divided by -4*(1 - 0) + (-13)\/(234\/(-342)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r - 1\/14*r**2 - 1\/21*r**3 - 169. Find b such that i(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9*(1 - -2). Suppose p - 4 = h. Solve -c + p*c + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 2*k - 2. Let p(l) = -1010*l**2 - 10*l - 971. Let z(i) = 10*o(i) - 2*p(i). What is the first derivative of z(w) wrt w?\nAnswer: 4000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*m*y**3 - 2*a*m*y**2 - a*m + 4*a*y**3 + 2*a*y**2 - 2*m*y**3 + 2*m*y**2 wrt y?\nAnswer: -24*a*m + 24*a - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43907, 43909, 43911, 43913, 43915, 43917?\n\"Answer: 2*l + 43905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100030352 (base 6) to base 13\nAnswer: -46c451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -15 + 14 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113434 is divided by 113124?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40266.3 and 16.\nAnswer: 644260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 47*c - 25*c - 22*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from ytybyykbbytyyt.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14. Solve 3*v - y = 2*n, 0 = 5*n - v - 4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30645441?\nAnswer: 3, 17, 200297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*s + 223725 = -8851. Calculate the remainder when s is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2 - -11) - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200923346 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 - 93)\/(-1*(2 - 1)*-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/((-20)\/12)*-5*(-154)\/70.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-108*x**4 - x**5 + 55*x**4 + 116*x**4).\nAnswer: -2*x**5 + 126*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 4, -25, -6, -101 in decreasing order.\nAnswer: 4, -6, -25, -99, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + 21 + -48 + 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let h(b) = -1970*b + 2924*b - 1343*b. Calculate h(x(p)).\nAnswer: -389*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14 + 2 + 5 - 3*o - 63*o. Let y be f(-12). What is the third derivative of -21*t**6 + 766*t**2 - 14*t**6 - y*t**2 wrt t?\nAnswer: -4200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)*2\/(-6). Let u = 3845 - 3840. Solve l = u*c - c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042635 rounded to five dps?\nAnswer: 0.00426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i - 6*i**3 + 2 + 8*i**3 - 8*i as n + a*i**3 + s*i + f*i**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 25*k**2 + 1. Let z = 1211 + -1210. Calculate u(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 4, t: 8, m: 4}. What is prob of picking 3 y?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + 79*x - 246. Let d be g(3). Solve d = -17*f + 12 + 39 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n + 21. Let t(y) = 7*y + 10. Let q(v) = 4*f(v) - 9*t(v). Calculate q(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.99999906 + 72. Let d = w - 0. Round d to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n + 10. Let b = 14 - 19. Let r be z(b). Suppose -4*f + r = -5. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49253.8 seconds in milliseconds?\nAnswer: 49253800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/2 + h**3\/3 - 6562*h**2. Let f(c) = -3*c - 14. Give d(f(q)).\nAnswer: -270*q**2 - 2520*q - 5878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8581 - 8581 - 181*p as q*p + h and give q.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-136)\/(-32) - 4) - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5871 and 1931250?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/(g\/((g\/g**9)\/g))*g**(-3)*g*g**10\/g assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 2688*g + 903168.\nAnswer: 2*(g + 672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(72) + sqrt(8) + 2.\nAnswer: 4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.49 times 657?\nAnswer: 3606.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/(1\/(-20)). Let f = 1107 - 1107. Suppose f*o - 5*o = -u. What is the smallest value in o, 0.1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2374*g - 3936 = -2702*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -1, -4*f = 5*z + 5612. Let k = 338 - 330. Does 13 divide (z\/k)\/((-3)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -168918*b - 31. Let t(p) = 12*p. Determine t(w(g)).\nAnswer: -2027016*g - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-32) - (-319)\/(-406).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -49*o**2 - 81*o + 25. Give b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 48 + 35 - 26, -14*h + 272 = -0*n + 3*n - 5*h + 5*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -0.89006. What is r rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110 - 0?\nAnswer: 10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23705?\nAnswer: 5, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/(-42)*-4*1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*z**3 + z**2 - z**2.\nAnswer: 221*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18290315 = 30*j - 1569709 + 1280934. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.3, -0.1, 2, 2\/3, -3\/5 in decreasing order.\nAnswer: 2, 2\/3, 0.3, -0.1, -4\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1345\/3228)\/(50\/44) and -9\/3385?\nAnswer: 20310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12697 = 371*h + 8241 - 3501 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 - 8*m - 2 - 3 + m**3 - m. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-72)*243\/(-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 6*k. Suppose -k*a + a = -26. Suppose 5*h - a = 74. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79873\/14 - 5694. Let i = -14 + s. What is the common denominator of 97\/2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 13 (c) -229105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010100 (base 2) in base 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 12*g**2 + 32*g - 119. What is t(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29972?\nAnswer: 2, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfw when three letters picked without replacement from lfyvwyv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-95)\/(-114) + (-2)\/(-12). What is the third smallest value in -2, -3\/2, 10, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-20) + (-29643)\/1205?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 32*t**2 - 31*t + 3. Let d be p(31). Let i(z) be the first derivative of 1\/2*z + 0*z**d - 1\/16*z**4 + 3\/8*z**2 - 4. Factor i(h).\nAnswer: -(h - 2)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -4\/23, 0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2560814279, 2560814281, 2560814283, 2560814285, 2560814287?\n\"Answer: 2*x + 2560814277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 2, u: 1, r: 6}. What is prob of picking 1 u, 1 m, and 1 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/54 + (-362096)\/(-20034))*(2\/(-28) + 0)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/63068445 or 1?\nAnswer: 2\/63068445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-85 - -177) - (0 + 14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = k, -n + 0*k = -5*k - 13. Suppose 24 - 108 = -n*i. Solve -i = o + 5*g, -o + 0*g - 3*g = 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432505409 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 15*j + 82, -276*j = -272*j + o + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 6254?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5319 and 4563.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let d be z(19). Suppose -d*q = -26*q. Suppose 4*n - n = 9. Solve q*l = -n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -6. Let m = -1 - o. Let r(s) = s + 17. Let l be r(-13). Solve -l = -m*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 5*l**2 + 7*l - 7. Let p be j(-6). Let z be 2\/(-1) + (p - -17). Solve -z*k + 15 = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(5\/(-50)*-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a*a**(2\/7))\/(a**(2\/7)*a**(-2\/17)\/a)*(a*a\/(a*a**1*a)*a**(2\/9))**(-3\/11) assuming a is positive.\nAnswer: a**(3547\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpss when four letters picked without replacement from mpsmmmspmmmssmcm?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5894872, 5894869, 5894864, 5894857, 5894848?\n\"Answer: -o**2 + 5894873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = 2*y. Let i(t) = -4*t**3 - t**2 + 4. What is the tens digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16096.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121) + sqrt(121) + sqrt(121))\/sqrt(11)*-2*3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -4)\/9*-1. Suppose r = -i + 22*m - 18*m + 49, 3*i - 62 = -5*m. Solve 0 = 12*k + i - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - ((-1 - -2) + -5 - (122 - 137)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-7381)\/3993*-66\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*z + 2*v, -18*z + 13*z + 3*v + 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.569 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 4. Let f = 115 - 115. Suppose 8*q - 13 - 11 = f. What is l(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.04651774 and 0.06?\nAnswer: 1.10651774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 182*p - 8346. Calculate w(111).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 59. Suppose -k = t*k. Suppose -4*y + k - 21 = -3*z, -z = 4*y + 9. Sort -1, 2, y in decreasing order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2\/3*r**3 + 0*r**2 + 1 - 56*r. Let o(y) = 5*y**2 - 2*y**2 + 0*y**2. Calculate p(o(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*p + 2 + 6, -5*g + 58 = 4*p. Suppose 2*x - g + 2 = 0. Let m(h) = 2*h**2 + 6*h + 6. Let o(r) = -5*r**2 - 13*r - 13. What is x*o(w) + 13*m(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14744 - -50?\nAnswer: -14694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 117835.8 to the nearest 100.\nAnswer: 117800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 1. Let b(l) = -1. What is 2*b(p) + y(p)?\nAnswer: -4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -83262, -166508, -249754, -333000, -416246, -499492?\n\"Answer: -83246*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*c = 395*c - 134064. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = 3*j, -a - j + 6*j = -9. Let i(c) = -c**2 - 25*c + 27. Let f be i(-26). Solve -a*b - 11 = f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70811.38g to micrograms.\nAnswer: 70811380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -674\/5. Sort -1, -5\/2, -0.2, a.\nAnswer: -5\/2, -1, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716778720 to the nearest integer?\nAnswer: 41434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 550*y + 5050. Determine c(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10000102?\nAnswer: -10000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4957 times -9.24\nAnswer: 45802.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3081*i**4 - 63*i**2*w**3 - 631*w**3 - 2*w**2 + 120*w wrt i.\nAnswer: -12324*i**3 - 126*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or -66?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005485?\nAnswer: 5, 13, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/121210 and -19\/50.\nAnswer: 606050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = u - 20, -3*u + 5*h = -5. Put 2\/5, -5, u in decreasing order.\nAnswer: u, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11292 in 0.2, -48, -1\/15?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 289*g - 25018 + 4618 + 1591 - 13848 for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -42) + 674 + -709 + 0 + (-125 - -1)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + (4 + 4 + sqrt(2736) + 4*(sqrt(2736) - (sqrt(2736) - (sqrt(2736) - sqrt(2736)*2) - sqrt(2736))))**2)*5.\nAnswer: 960*sqrt(19) + 13987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-40))\/((2\/8)\/(44\/72)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -80*f**2. Let m(r) = -3*r. Determine y(m(i)).\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*w - 5*w**5 + w + 3*w**5 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067 - 325 = 480*i - 509*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 3. Let c(s) = 2*s + 2. Let q(o) = -5*a(o) - 8*c(o). Let l be q(-3). Solve d = g + 2*g - 12, -g = -l*d - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -85. Let f(x) = -6*x + 15. What is the tens digit of f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.95556 + 2.\nAnswer: 2.95556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6644 meters in centimeters?\nAnswer: 966.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*s + 2*l**3 + l**2 + 242*l*s + 3*l wrt l.\nAnswer: -6*l*s + 12*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/24 - 2*w**2 + 61. Calculate h(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 49*b - 2101400 = 0. What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 7*p - 17. Let i(s) = -4*s - 14. Let y be i(-4). Let d be h(y). Let x(w) = -1. Let c(q) = -5*q + 7. Give d*c(n) + 6*x(n).\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, d: 3, q: 2, o: 4}. What is prob of picking 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3678876 and -18.5?\nAnswer: 68059206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x**3 + 22*x**3 + 1 - 47*x**3 to the form v*x**2 + w*x + c + b*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-9)\/72. Is -0.8 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqw when three letters picked without replacement from wwwwwqwqqwww.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + 1 + 0 + 2 + 5*z - 12*z. What is p(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 60 - 306 = 0. Let l(x) = -3*x**2 + 7*x + 10. Calculate the common denominator of l(-3) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*-1*sqrt(7) + sqrt(7) + sqrt(7) + sqrt(28) + -5)**2 + (-3*-3*sqrt(77))\/sqrt(11).\nAnswer: 52 + 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o. Suppose 0 = 2*x - 3*a - 39500, -4*x - 4*a + 67446 = -11534. Let v(n) = n**2 + x - 19747. What is u(v(y))?\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 21*z**2 - 8*z + 16. Let t(n) = 37*n**2 - 14*n + 28. Let w(k) = 7*d(k) - 4*t(k). Let m(y) = -37*y**2 - 3. Determine w(m(s)).\nAnswer: -1369*s**4 - 222*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 21*c + 16. Let r(s) = -s**2 - 7*s - 5. Let t(k) = -8*r(k) - 3*u(k). Let h be t(-4). Calculate the highest common divisor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from ypggygy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -160*v + 307*v - 163*v + 11. Let r(q) = -3*q + 2. Determine 22*r(o) - 4*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -270367\nAnswer: 22\/270367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5280 or -240776?\nAnswer: -240776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 - 894*v**4 + 7*v**2 + 74194*v?\nAnswer: -40*v**3 - 10728*v**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -21*b + 260. Is 11 a factor of (68\/(-10) - -6) + 3938\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16888007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0458 + 0.0758. What is the second smallest value in -0.5, o, 31, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*b + 107*b + 5*k - 30, 0 = 3*b + 5*k - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 686.888l?\nAnswer: 686888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.3 + 20.4. Which is the biggest value? (a) h (b) 10 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 75 = 3*o. Suppose 3*t - o = r, -2*t - 3*r = -t - 37. What is the highest common divisor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -612, -1382, -2460?\nAnswer: -3846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*u**4 + 2*u - 77 wrt u.\nAnswer: 972*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1234333 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 309 + -838. Let h = 603 + m. Which is smaller: h or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576)\/sqrt(12) - sqrt(3)) + -2)**2 - (-6*(sqrt(147) + 0))**2) + -2.\nAnswer: -5263 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7755*b - 81221 - 39860 = -3961 + 6960 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296, 1\/568, -7 in descending order.\nAnswer: 1\/568, -7, -1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {e: 10, o: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.63 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 4. Let f be m(-6). Suppose -f*o - 3*i - 42 + 116 = 0, -5*o - 2*i + 185 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 88 + 8 = 0. Suppose 0 = 9*u - 5*u + a. Let i(v) = -2*v**2 - v + 4. Let n = -167 + 162. Let k(g) = 2*g**2 + g - 5. What is n*k(p) + u*i(p)?\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1301814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*v - 2*v. Suppose s - 6*s = -10. Let z be s - -4*v\/8. Solve 0 = -2*k + z*r + 14, 4*k = 7*k + 4*r + 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6868, -1, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 8*z - 9. Let t be m(6). Suppose -2*h = -4*g - 86, 160 = 4*h - t*g + g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(2 + sqrt(448)) + -2 - (5 + 2*sqrt(448)*5)) + 0)*-4*-2)**2.\nAnswer: 46080*sqrt(7) + 2324032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 739, 1099, 1445, 1771, 2071, 2339?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 339, 760, 1359, 2142, 3115, 4284?\nAnswer: 5655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 19*n**2 - 23*n + 35. Determine y(9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 1 + 1 + 1.\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359988 by -458.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -680, -719, -758, -797, -836, -875?\n\"Answer: -39*j - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01196 - 0.08804. Let r(n) = n**3 + 3*n**2 - 3*n + 2. Suppose 0 = 4*j + 5 + 11. Let h be r(j). Put z, -5, h, -1 in decreasing order.\nAnswer: z, -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.577986 nanograms?\nAnswer: 0.000000004577986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, a: 4, x: 6, j: 1}. Give prob of sequence xxxa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.18. Let v = -0.12 - n. Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-182)\/(-403)))\/(24\/(-168)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 47*u**2 + 2*u + 6. Let h(t) = -47*t**2 - 2*t - 5. Let j(c) = -5*h(c) - 4*n(c). Let k be j(-2). Suppose 4*z = -z + k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729, 3311, 7645, 13737, 21593, 31219, 42621, 55805?\nAnswer: 70777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -424\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 + (88\/24 - 3). Factor 1\/7*x + 2\/7 - 1\/7*x**r.\nAnswer: -(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59074681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -9\/456713 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 422 = -199*a + 670 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i**2\/7 - 32*i\/7 - 2\/7.\nAnswer: 2*(i - 1)*(17*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232102103 - 4?\nAnswer: -232102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by 245?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 175?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2)*(1 - -1). What is the first derivative of i + v - 2*i - 8 wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 29*w + 53. Let g be r(-16). Solve a = g*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000859 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192883054.\nAnswer: 2, 11, 54221957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 499*g**6\/30 + 45*g**4\/2 + g**2\/2 - 548*g. Find the third derivative of u(p) wrt p.\nAnswer: 11976*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b - 6. Let c be -2*(-4 + 8 + -6). Determine v(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -52, -68, -84, -100, -116?\n\"Answer: -16*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*d - 3, -5*d - 1710*t = -1706*t + 31 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - f - f)*(-7*f**2 + 7*f**2 + 4*f**2) - f**2 + f**2 - f**3 + (11*f - 70*f - f)*(-2*f**2 - 1 + 1) to the form d*f + x*f**3 + w + k*f**2 and give x.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 451\/3 + -151. Which is the second biggest value? (a) n (b) -3 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 + 61. Suppose 2*b + p = v, 0 = 3*b - 2*b - 3*p - 247. Suppose 5*n - b = -j, 2*j = -0*j - 3*n + 511. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -715 - 1a359?\nAnswer: -1aa70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:02 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (468\/21)\/((-1)\/7). Let r = -164 - j. Let p(w) = -w**3 - 9*w**2 - 9*w - 12. Calculate p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 - -225. Let r = m - 82. Let n = 102 - r. What is the greatest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2. Let j(h) = h**3 - 3*h + 13. Let x be j(0). Let n(d) = -11*d - x*d + 5*d + 4*d. What is k(n(y))?\nAnswer: -1575*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 48*w + 7. Let r be y(25). Let o = r + 53. Let b = 64 + -56. Calculate the smallest common multiple of o and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k + 6*k**2 + 3*k - 3*k - k**2 + (-4 + 3 - 1)*(k**2 + 0 + 0))*(-k**3 - 4*k**3 - 6*k**3).\nAnswer: -33*k**5 - 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02547, 0.03, 30 in decreasing order.\nAnswer: 30, 0.03, 0.02547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 5*n - 5*n + (3*n - 5*n + n)*(-n**2 + n**2 - n**3) + 1506*n**4 - 660*n**4 - 11*n**4.\nAnswer: 833*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*f = -18, 14 + 4 = -3*x - 3*f. Suppose 0*b + 15 = 5*b. Let a = -2 - b. Is a != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1694 + -1685. Solve -4*d + m - 25 = -4*g, -2*d = 5*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.033556437.\nAnswer: 0.067112874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-5)\/(7\/(-7)). Suppose -2*k = -4*w - 2, w + u = 2*k + 3*k. Sort w, 16, -1 in descending order.\nAnswer: 16, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 9*q + 4. Let k be o(9). Suppose k*h - 160 = -h. Suppose 4*m - 8 - h = 0. Calculate the highest common divisor of m and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793 = -4*m - 701, -z - 5*m + 64 + 54 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -1\/60*h**5 + 0*h + 0*h**3 - 3*h**2 + 0*h**4 + 0. Let s(w) = 0*w + 2*w - 4*w. What is s(m(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 3) in base 8?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 - 161. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -2\/57 (b) -2 (c) -2\/9 (d) 2\/3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 537 and 0.93.\nAnswer: 499.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1. Let q = -9 - -7. Let p(g) = 3*g**2 - 2*g - 1. Let f(d) = 0 + 1 - 2 - d + d**2. Let u(c) = q*f(c) + p(c). Determine 2*t(h) + 2*u(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/3 (c) -0.6 (d) 3\/8 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 30. What is the least common multiple of 108 and w(-7)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525 = 107*m - 5*s, 304557*m + 5*s + 25 = 304554*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40266814+-9\nAnswer: -40266823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14980 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 7*p**2 + 6*p + 5. Let s(c) = 9 + c**3 + 3*c**2 + 4*c**2 - 8 + 6*c + 4. Let n(o) = 5*s(o) - 6*y(o). Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*176835\nAnswer: 53050.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3311*k**2*p**3 + 343*k**2*p**2 + 3569*k*p**3 - 44143*k*p**2 wrt p.\nAnswer: -19866*k**2 + 21414*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82707071*h = -82707064*h - 5*t + 68, 0 = 4*h - 5*t + 41 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 162386616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (-4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = y, 2*y = y + 5*t + 10. Let x(s) = 4*s + 15. Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 41, 3, -5, 14 in ascending order.\nAnswer: -5, 3, 9, 14, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:27 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 9*t**2 + 7*t + 11. Let y(i) = -i**2 + 102*i - 840. Let j be y(9). Let v(h) = -h**3 + 4*h**2 + 3*h + 5. Give j*o(p) + 7*v(p).\nAnswer: -p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1714.9 - -1644. Let n = 70.89996846 + m. What is n rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*x**4 + 27142*x**3 - 19*x**2 + 54*x + 194401 wrt x.\nAnswer: 132*x**2 + 162852*x - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-8\/13)*t\/t**(-10)*t**(5\/4)*t*t*t*t*t**(-3\/7) assuming t is positive.\nAnswer: t**(5899\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 13*s + 29268. Let u = 25917\/8 + s. Calculate the common denominator of 6\/9 + 151\/48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 + 7*n - 8. Let k(i) = -i**3 - 17*i**2 + 203*i - 3. What is the remainder when b(7) is divided by k(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-8)*((-9)\/3)\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, 4 in increasing order.\nAnswer: 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, f: 8, u: 7}. Give prob of picking 2 f and 2 u.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -5 (b) -0.2 (c) -2 (d) 0.1 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665*t = 533*t + 949 - 157. What is the smallest common multiple of 52 - (-1)\/((-2)\/(-4)) and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + x + 28, -5*a - x + 35 = -0*x. Find the third derivative of -l**3 - 7*l**4 - 7*l**2 - a*l**3 + 8*l**3 wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1314 = -2*y - 848, 3240 = 3*b - 2*y. What is the highest common divisor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**3 - 2*c + 1. Let v = 247 - 226. Suppose v*r - 81 = 12*r. Calculate the lowest common multiple of r and k(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -58 (b) -1 (c) -9 (d) -22\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -471 - -402. Let d = q - -1175\/17. Which is the third smallest value? (a) 0.1 (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 23, 5807\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15851285 is divided by 2641878.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exaezzezzexzazzzoza. What is prob of sequence ozze?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -21*(121796\/(-6))\/(104\/52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 + (-34692)\/1416\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 5*l + 4*l)*(-749*l**2 - 50*l**2 - 287*l**2) + (-2*l**2 - 2*l + 2*l)*(-l + 0*l + 4*l).\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 23*o**3 + 11*o**2 + 8*o + 3. Let h be p(-7). Is h\/(-5) + 2\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 57029.65 years?\nAnswer: 57.02965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 4, r: 2, z: 1}. What is prob of sequence lzl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p + 2. Let w be g(-6). Suppose -w*r - r + 51 = 0. Calculate the highest common factor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + -5.09. Let p = 6531.14 - 6689. Let z = p + 158. Put x, 3, z, 1 in decreasing order.\nAnswer: 3, 1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**3\/6 + 3*y. Let x = 4722 - 3208. Let m(s) = x + 3*s - 1514. Determine m(f(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1037 + 2440. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251469 is divided by 303?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*r - 284, r + 361 = 6*r + q. Let o = r + 97. Does 17 divide (10\/25)\/(2\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13081.652 - 13078. Round w to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4155502ng?\nAnswer: 0.0000000000000004155502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114792*i + 2288 = 114818*i for i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.9281 rounded to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/6 - 65*c**2 + 30. Let h(m) = m + 4. Let a be (0 + 1)*1 - -1. Give a*t(z) - h(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43390395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.332 + 5.332. Let u be -4*(-1 + 5) - -1. Let t = u - -47\/3. Sort t, -0.4, y.\nAnswer: -0.4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5 - 4 + 0)*(-24 + 19 + 20)*(0*t + 2*t - 3*t).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32.4 * 0.2\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a microsecond in nanoseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15808050 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8226 and 12872319?\nAnswer: 77233914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/72 - ((-156)\/(-16))\/(-3)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 4*j. Let w be j\/(-10) - 194\/(-4). Does 22 divide -3 + w + 3*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from dduscuudcus.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334.3 + -331. Is 0.03 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -15, -4*m - 221 = a - 666. Solve -m = -3*x - 91 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/14 + -3 + 2. Let l = -0.45 + 0.3. Let g = 0.05 - l. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-19) - 20*(-209)\/1444. Solve -7*m + 6*m + 2 = -3*c, 0 = -4*c + z*m - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 2*i**2 - 1\/6*i**4 + 0 + 0*i + 2\/3*i**3. Let g be f(-8). Solve -3*d + 12 = 0, -5 - g = 5*c - 4*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let o(j) = -j - 1. Let s(t) = t - 4. Let r be 2*3\/(-6)*1. Let h(g) = r*s(g) + 4*o(g). What is d(h(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auuu when four letters picked without replacement from uadaaaduuu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -17, -11, -1, 13, 31?\n\"Answer: 2*n**2 - 4*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/412173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2954 divided by 1477.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6641524*m + 5 = -6641528*m, 3*t + 4*m = -3*m + 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -58. Suppose -2*k - 651 = -2*z + 181, c*z = 5*k + 1664. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/3 - 46*b**3\/3 - 20*b**2 + 96*b = 0. Calculate b.\nAnswer: -3, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -52646 divided by 3\nAnswer: -52646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(-5 + 3 + 7)*(16423 + 157*h - 16423).\nAnswer: 785*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -933*g + 876*g + 97299. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565729 = 2*d - 3*d. Let c = -163990 + d. Let p = c - 234739. What is p rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.4421 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 123*h - 123*h in the form l + t*h**2 + j*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/36)\/(88\/22)*(-33)\/12*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28205 is divided by 98.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*p - 13, -2*y + p = y + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 5, s: 4}. Give prob of sequence ccps.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(275)) + -1.\nAnswer: -5*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 - 1)) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 0*i**5 + i**5 - 2 + 2 - 7*i**5 + (-2 + i**4 + 2)*(-i - 2*i + 2*i).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3 - 0)*((18 - 34) + -14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8286 - -2.1714. What is the third smallest value in c, 4, -1641?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1826631273, 1826631274, 1826631275, 1826631276?\nAnswer: 1826631277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = s + 9. Suppose -5*m - 16 = -4*p, 4*m + 11 = s*p + 3*p. Let k(w) = 7*w**3 - w**2 - w - 1. Give k(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - (-4 - (28 + -28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*m**3 + 19*m**3 + 2*m**4 - m + 52*m**3 to the form j*m**4 + x*m**3 + k*m**2 + i*m + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - 0.07. Suppose 72*d + 100*d = -53*d. What is the closest to 0.2 in -5, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - 4*r - 5*r - 5*r - 70 + 11*r to the form k + o*r and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 9*y**2 - 17*y - 16. Let s be n(-13). Let b = s + -5317\/6. Find the common denominator of -57\/7 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (sqrt(153) - (sqrt(153)*1*5 - sqrt(153)) - sqrt(153)))\/(sqrt(9)*2*-2).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 - (5 - 14))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -2243?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.33 - -28.33. Sort 1, 5, b, 0.\nAnswer: b, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 12*a + 21. Suppose 2*p + 2 = 0, u - 42 = -p - 32. What is q(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 658*n + 1503. Let k be l(-2). What is the greatest common divisor of k and 544?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -685. Let m(n) = -n**2 + n + 4. Determine 2*m(x) - q(x).\nAnswer: -2*x**2 + 2*x + 693","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p - p + (-1 - 3 + 5)*(2*p - p + 0*p) - 1 - 2*p + 1 - 5*p + 3*p + 3*p)*(-3*p + 10*p**3 - 9*p**3 + p).\nAnswer: -2*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9172 divided by -2293.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279251244?\nAnswer: 2, 3, 757, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4 - 3 - 1 + 62*m**2 + 67*m**2 - 130*m**2 - 12*m. What is i(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212 - -120021?\nAnswer: 101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 1*sqrt(65)*1) + sqrt(65)*-1*4)\/((3*sqrt(225)*-2)\/sqrt(5)).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. Solve -5*f + 2*q = -4*f - 14, -v*f + 25 = -q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12211, -26006, -39801, -53596, -67391, -81186?\nAnswer: -94981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1. Let i(k) = -6*k + 8. Let b(g) = -i(g) - 8*r(g). Calculate b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/19, 6, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/((-1)\/2). What is the derivative of -4*v**2 - 7 + 5*v**2 + 21 - 13*v**g wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 22.959174.\nAnswer: 114.79587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/8 greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270975\/1981 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000236561 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -0.1. Let t = 2.69 + -2.89. What is the nearest to t in p, -5\/3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/24*12\/(-42)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.413 - 7.163. Let x = -6.039 - r. What is x rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 817*y - 8063. Calculate i(10).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 + m. Let j(n) = n**3 + 4*n. Let c(y) = y**3 + 3*y. Let f(d) = 4*c(d) - 3*j(d). Calculate -6*f(g) - i(g).\nAnswer: -g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let u = f + 1. Let m(a) = -a**2 - 10*a - 9. Let q be m(-9). Solve 5*y + u*y - 5 = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(245) - (-1 + (2*sqrt(245) + sqrt(245) - sqrt(245)))))**2 - (-1 + -3 + sqrt(245) + 1)**2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y - 3*b + 150 = 0, -2*y + 60 = 3*b. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 7, k: 5, m: 3, l: 2, f: 2}. Give prob of picking 1 k and 1 m.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2954, -433, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-1512))\/((-212)\/30634) - 72\/(-42).\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 547 - -11?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -886 (d) -3 (e) 0.05 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 122*q + 88 = -118*q, -48 = 5*a - 4*q for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3073 - 2016. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 + 1330*r**2 - 1330*r**2 - 5. Let b(q) = 3*q**3 - 2. What is -5*b(w) + 2*d(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) - sqrt(252)*-2))))*-3 - sqrt(252) - sqrt(252))*1)\/(-1*sqrt(36)*4*-6))**2.\nAnswer: -35\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -41. Let v be y\/39 - (-3 + 4). Let g = -8633 + 8634. Is g bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 5 + 6)\/1. Solve -3*a = z, -2*a = 3*g - 0 - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 109 - 41 - 33 - 32. Let y(p) = -p + 2. Let t(d) = d**2 + 16*d + 31. Let c be t(-14). Determine c*y(m) - 2*v(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 30120*b**2 - 180596*b - 150480.\nAnswer: -4*(b + 1)*(b + 5)*(b + 7524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24034*b + 72. Give s(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2003974025 - -2003974046.10000129. Let w = -21.1 + l. Round w to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347\/3 - 20\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111137820?\nAnswer: 2, 3, 5, 53, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192835, -3, -15 in ascending order.\nAnswer: -192835, -15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21858 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*s - 116*s + 225*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189795*x**3 + 8*x + 10*x - 578771*x**3.\nAnswer: -768566*x**3 + 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 78 = 3*p. Let l(r) = 817*r + p*r**2 - 817*r - 1 - r**3. Determine l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 36 + (3 - 10) - -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 128539*w**2 + 7*w - 126011*w**2 to j*w + q + v*w**2 and give v.\nAnswer: 2528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618248 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 - 0.6. Let p be (4\/(-14))\/(9\/(-21)). Let n(g) = -g**2 - 8*g + 2. Let k be n(-8). What is the nearest to p in k, s, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249600676 to the power of 1\/2, to the nearest integer?\nAnswer: 15799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82*(-1610)\/(-4715))\/((-10)\/((-20)\/4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Let o be (-1 + 1)\/(7 - a). Let s = o - 0. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2006933506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from sussssfffusf?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g - 3*g)*(-356*g**2 - 15 + 710*g**2 - 352*g**2 + 4*g).\nAnswer: -12*g**3 - 24*g**2 + 90*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0380314 rounded to three decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 31 = 3*k - 41, 4*r = 2*k + 62. Suppose -5*q + r = 0, -w + 4*q + 173 = 40. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187709174 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101001000100?\nAnswer: 101001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721698?\nAnswer: 2, 3, 120283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -102, -65, -12, 57?\n\"Answer: 8*w**2 + 13*w - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from kko.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 334063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98985, 98979, 98973, 98967?\nAnswer: 98961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 8}. What is prob of picking 2 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4448 + -2623. Let n = q - 980. What is the derivative of 23 + 845*p - n*p - 14*p**2 wrt p?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 + -30?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 15*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 2, u: 1, f: 1, d: 1, k: 2}. What is prob of sequence uo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*u**3 - 55 + 247*u**3 + 55 - 116*u**3.\nAnswer: 229*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 25 - 109. Let q be j\/6*(-18)\/21. Suppose -2*n - 2*h + 40 = 0, -3*h + 5 = -2*h. Solve -q*w = -w - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 644 + -517. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 14 - 3) + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 962 and (25 + 419)*(-2)\/15*(-5)\/2.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 96. Let b be k\/((24\/(-1146))\/(-4)). Let y = -89 - b. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 15*h**2 - 103*h - 645. Calculate q(-6).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvhvvvhvvvvhvhvvvv. What is prob of picking 3 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0 + 0*r**2 - 7*r - 19\/12*r**4 + 0*r**5 + 0*r**6 - 2\/7*r**7 + 0*r**3. What is the third derivative of v(j) wrt j?\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - o = -3*o + 26, 0 = 5*i - 4*o - 14. Suppose -4*v + i = -v, -2*l - 4*v = -14. Solve n + l = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Let p be m(0). Let u(w) = w**2 + 2*w + 1. Let s be u(p). Let y be -2 + 6\/(3 - 2). Solve -y*j - 8 = -6*x + x, -2*j - x - 4 = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -47*d**4\/4 - 5*d**2 + 176*d + 579. Differentiate k(a) with respect to a.\nAnswer: -141*a**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235245151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (6 - 2)\/(-2). Let s be 3\/(-2) - (-3)\/b. Let d be (1\/(s\/2))\/5. Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 6. Calculate the least common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -102*y - 599. Let r be n(-6). Solve r*x - 4*x = 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 11*f**2 - 10*f + 3. Let j be w(10). Solve -a + 4*a - 15 = -3*o, 7 = j*o - a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3*x - 15. List the prime factors of d(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2.3, 660 in descending order.\nAnswer: 660, 2\/7, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3 - 0. Let d be -109*a\/1 - (-5 + 4). Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1346*m + 505*m - 272*m - 489*m.\nAnswer: -1602*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 664.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 7*q. Let z be n(-7). Let h(i) = i**2 - i + 14. Let u(g) = 4*g**2 - 3*g + 42. Let t(j) = 7*h(j) - 2*u(j). What is the tens digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (0 + (sqrt(1088) - ((sqrt(1088) - -6*(sqrt(1088) - (4 + sqrt(1088) - sqrt(1088)))) + sqrt(1088))**2))*5) + -1.\nAnswer: -1053136 + 46200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2. Let t be q(1). Let f(x) = 11*x**t + 3*x**2 + 3*x + 8*x + x**2. Let a(w) = -5*w**3 - 2*w**2 - 5*w. Give -7*a(m) - 3*f(m).\nAnswer: 2*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 3*u = -66, 14*a - 2*a - 3*u = 9*a + 48 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:25 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1480.302 to the nearest ten.\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 1489276 + 1870784. Let x be 2*(1020045\/6 + 0). Let i = n + x. What is i rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (-58 + 6 - 1) + (-29 - -33).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-135) - (-2)\/(-5). Let r = -2865.8 - -2862.8. Which is bigger: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v. Let l(b) be the second derivative of b**4\/6 - 11*b. What is k(l(u))?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*h**2 - 14*h**3 - 72*h**2 + 27*h**2 - 4*h + 4*h - h**3 + (2*h + 0 + 0)*(-2*h**2 + 2 - 2) + 3 + h**3 - 3.\nAnswer: -18*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 0, 2*k - 5 = -2*r - 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3941420494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 4 + j + 7)*(4 - 3 - 2)*(-2*j**2 - 3*j**2 + 4*j**2) to q + m*j**3 + b*j**2 + c*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, 0.1, -4, 60, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466582 times 23?\nAnswer: 56731386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 130 - 0\/(-2). Suppose 3*t = 4*l + 698, 0 = 5*l + 13 - 33. Let p = d + t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4410\/28)\/(-21))\/(6\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19681, 78741, 177187, 315031, 492285, 708961, 965071?\nAnswer: 1260627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-18)*3*8. Let s(w) = -17*w**3 - 11*w**2 - 11*w + 6. Let c(q) = -4*q - 5 - 6*q**3 + 0*q**2 + 7 - 4*q**2. Calculate f*s(n) + 11*c(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/5 - 0\/1. Suppose 0 = -m - k*m + 24. Suppose m = 4*n - 16. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - u + 1. Suppose q = 4*s - 5 + 2, -3*s + 2*q + 1 = 0. What is z(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 4 - 20 - 7 + 18 + 283*v**3.\nAnswer: 283*v**3 - 5*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, 114, 329, 596, 909?\n\"Answer: -x**3 + 35*x**2 + 59*x - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -36 + 0*b**2 + 6*b**2 - 30 - 3*b**2 + 0*b**2 - 27*b = 0. What is b?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - (-545)\/1962. Let c = -0.6 - -1. What is the nearest to v in 1\/2, -0.4, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -158*d + 157*d. Let z(i) = i**3 - 15*i**2 + 5*i - 21. Let v be z(d). Let 12*g**2 - 62*g**3 + 28*g**3 - 48*g + v*g**3 + 16 = 0. Calculate g.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-4) + 18 + 2. Let m be (y\/10)\/(6\/(-100)). What is the tens digit of ((-75)\/60)\/(2\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*v = -4*m - 33, -5*v - 21 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*l + 28, 3 = 5*h - 5*l - 2. Suppose 77 = -11*n + 22*n. Let y be (14\/(-4))\/n*1. What is the closest to y in -1\/4, h, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -b + 5*n, 58*b = 2350*n - 2348*n - 2024 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -758261*o**2 + 0 + 758266*o**2 - 3*o + 2*o**3 + 4. Let v(a) = 2*a**3 + 6*a**2 - 4*a + 5. Determine -6*d(x) + 5*v(x).\nAnswer: -2*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/96)\/(4\/14)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 6*j + 7*j)*(-1 + 2 + 1) - 1 + 1 - 2*j + 0 + 4*j + 0 + (-2 + 7 + 2)*(-6*j + 3*j + 2*j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3110 times 4269\nAnswer: 13276590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*k + 102*k = -98*k + 3906 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/(35\/15)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 408400650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/18 + 335\/414. Let p = -0.949 - 0.051. Let v = -0.25 - 0.05. Which is the third smallest value? (a) p (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30599997)\/(-2) - (-24)\/16. Round w to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*b - 22*b = 336*b - 10327 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 25*o - 15*o - 14*o - 12*o + 80*o.\nAnswer: -o**3 + 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 28*b**2 - 24*b - 27. Let u be w(27). What is the highest common divisor of 2502 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1896496 (c) 3\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199716270.\nAnswer: 2, 5, 119971627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0006*0.09\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -97*f - 91*f + 192*f - 3. Let n be x(2). Solve l = n*y + 1, 2*y + 2*y - 8 = 3*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202*v**4 - 100*v**3 + 9000566*v**2?\nAnswer: 4848*v - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 18. Let r = l - -18. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 929379*o**3 + 2 + 3*o**2 + 2*o - 1 - 929377*o**3 in the form s*o + f + n*o**3 + k*o**2 + w*o**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 99.7 from -1830217.156.\nAnswer: -1830316.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*s**2 + 2*s**3 + 111 + 392*s**2 - 3*s + 79 - 192 as k*s + j + y*s**2 + q*s**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/6*x**4 + 1\/10*x**5 - 3*x**2 + 0*x - 7\/6*x**3 + 1\/120*x**6 + 0. Determine l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - 47495a?\nAnswer: -474938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(sqrt(195)\/(sqrt(25)\/sqrt(5)*-3))\/(2*sqrt(147)*-2))*-1.\nAnswer: sqrt(13)\/84 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/5)\/((-7)\/((-105)\/6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.072, -0.5, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9 + 1 - x**2 + 6 - 2*x. Suppose -q + 5 = 3*u - 12, -5*q + 41 = 4*u. Let y(t) = -4 - 5*t - 1 + 0*t - 3*t**2. What is u*y(i) - 10*b(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88416 in -5, -9, 0.4, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a - 20. Determine z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4156 + 0.2356. Let o = -2 - -4. Which is the smallest value? (a) o (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b - 51 + 75 - 24.\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136.73 or 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*o - 25 = 0, o = 5*n - 4*o - 25. Solve -n*s + 3*d = -13, 2*s + d = 15 - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978252.3mm to micrometers.\nAnswer: 978252300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49134 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*q = 3*q + 5, -5*q = -20. Is ((-65)\/2)\/(z\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v**(-7\/2)*v)**(22\/5) assuming v is positive.\nAnswer: v**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 1:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31062 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2524 + 2588. What is the highest common factor of 4672 and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*y**2 + 13595*f*y + 103544866*f + 56*y**2 wrt y.\nAnswer: 2*f*y + 13595*f + 112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30a - -40?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 3, n: 1, s: 2, f: 1, g: 5}. What is prob of sequence nsdw?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 3, 0, 8 in decreasing order.\nAnswer: 8, 4, 3, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(343) + 0)**2 - (5 + sqrt(343) + 0)**2) + ((sqrt(343) + -1 + sqrt(343))**2 + -2 - (-1*sqrt(343) + 0)**2).\nAnswer: -98*sqrt(7) + 2718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1780443 and 64\/147.\nAnswer: 12463101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -442805, -1771296, -3985447, -7085258, -11070729, -15941860?\n\"Answer: -442830*g**2 - g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33\/57538 + -2089505\/56703699. What is the common denominator of 53\/3942 and j?\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/60 + m**5\/15 - 5*m**4\/12 - m**3\/2 + 3*m**2 + 3. Does 8 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z + 7 - 1 = 0, -5*p - 2*z + 106 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/2007 + 8557\/1940769. Is q equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.63 - 14.7. Which is the nearest to z? (a) -0.2 (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 6. Let u be s(-6). Let l = 8 + u. Suppose 3*z + 63 = 4*i, -4*i - 13 = -5*i - l*z. What is the highest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*q + 0 + 2 to g*q + r and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3639165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*(-11)\/1188*-36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -365*14.2\nAnswer: -5183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 33 + g**2 + 6*g + 10*g**2 + 9*g**2 - 2. What is the hundreds digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 27366 + y**2 - 54713 - 2*y**4 + 27479 in the form d*y**3 + s + h*y**2 + x*y + w*y**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -83. Suppose o*m + y - 6289 = 0, 8*m - 6293 = 3*m - 2*y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10305811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1292, 2585, 3878, 5171, 6464?\n\"Answer: 1293*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 205015342?\nAnswer: -205015323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 124 + 248 = 8*p, 4*j + 5*p - 58 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42068436 - -50974702.57931564. Let t = l - 50974682.0000008. Let c = t + -21. What is c rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 42. Calculate the least common multiple of v(0) and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/78 and 58\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53480559?\nAnswer: 3, 11, 353, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.23 - -3.77. What is the nearest to -0.1 in 3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/81 and -79\/117.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -96. Let h(q) = 1 + 1 + 480921*q - 1695207*q. Let c be h(k). What is c rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 2*x + 2. Suppose 3*t + t + 4*z + 16 = 0, t + 3*z + 8 = 0. What is q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x - 9. Suppose -4*i + 7 + 4 = -3*o, -i = -2*o - 14. Let k be o*5\/(15\/2). What are the prime factors of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436159 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 73. Let a = 1 + 1. What is the units digit of -2 + t + (a - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-84) + (-12)\/(-72). Which is the smallest value? (a) w (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130044 is divided by 172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(12 - 12). Let z = 93593\/44 + -2127. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from vgvvgvffvgvgvvggv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.407 + 69.1. Let c = j - 0.993. Let o = 1 - 3. Sort 0, c, o in descending order.\nAnswer: 0, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 130, 8, 207, 2, -1 in descending order.\nAnswer: 207, 130, 8, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**3 + 4808*t**2 + 441*t + 1734. Let d be k(-437). Let j(h) = -2*h**2 + 2. Let w be j(-2). Let a be (-80)\/6 + (-2)\/w. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300))**2 + sqrt(3) + 4 + 0 + (6*sqrt(24)\/sqrt(8) + sqrt(3) - (-4 + sqrt(27))).\nAnswer: 5*sqrt(3) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706899 divided by 323?\nAnswer: 706899\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -631*o**3 + 3*o + 3. What is the hundreds digit of s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(28\/4 - -2). Is (u - -1) + (3 - 2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 - -715. What is the remainder when z is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 5*u**3 + 4*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:16 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3976 is divided by 419.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-308)\/1386)\/((-44)\/30))\/(2\/(-6)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 25.07. Let k = 57.8 + a. What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, d: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-2)\/(-8) + (-9027)\/(-36). Let s = t + -245. Solve 0 = -3*r - 0*r + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1649 and 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*(2\/12)\/(-1). Let y = -561.2 - 276. Let b = 838 + y. What is the third biggest value in 2\/13, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292735 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490374 is divided by 2073?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*b - 18, 5*b + 0 = -2*c - 9. Let i be ((-41)\/(-2))\/(c\/6). Suppose i + 46 = y - 3*w, 0 = 4*y - 5*w - 313. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b**2 + 3*b**3 - 6*b**2 - 15*b**2 - 15*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d)\/d*d*d\/(d*(d*d*d**(2\/15))\/d)*d*d**(4\/3)*(d\/d**(-2\/7))\/d assuming d is positive.\nAnswer: d**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*j + 45, 0 = 3*y - 5*j - 1 + 11. Find the second derivative of p**4 - 6*p + 20*p - 3*p - p**2 - 1 - y*p wrt p.\nAnswer: 12*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 at most 35523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27455 - 19000. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141278688.\nAnswer: 2, 11, 877, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 6 + (26 - (-17 - -12)) + 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 - -83. Put 4, l, -5 in increasing order.\nAnswer: l, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 6. Let l be y(6). Suppose 2*z - 4*q + 7*q = 40, 0 = -2*q + 8. Suppose 0 = -z*p - 27 - 29. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 14 + 14)*(j + 4*j + 2*j) + (4*j - 2*j - 3*j)*(4*j - 3*j + j) as d*j**2 + o*j + l and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-4))\/(-1) + -2. Put -5, 0, g in decreasing order.\nAnswer: 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 16*u. Let i be w(-10). Let t = -37 - i. Let v(g) = -4*g - 1. Let r(b) = 7*b + 1. Let s(f) = t*r(f) + 5*v(f). Determine s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2749 + -1387. Suppose 0 = 5*c - 4593 - s. What are the prime factors of c?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 83 - (-6 + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.9, -3 in descending order.\nAnswer: 4, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (31 + -18 + 22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + 2*sqrt(270)*-4)\/sqrt(10))\/(sqrt(36)\/(sqrt(324) + -3*sqrt(324))) + 2.\nAnswer: 2 + 126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 157931345 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4*n - 12. Let f be a(-7). Let k be (-6)\/(-14)*(-3)\/f*-2. Suppose -w = -3 - 10. What is the second biggest value in k, -2\/7, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(-13943)\/(-382)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4074 - -2873. Let s = -1201.629 - n. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-468) + (-3)\/(-78)*134.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76026 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -30, -33, -36, -39, -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3 - 3*g**2*y**2 + 4*g**2 + 21*g*y**2 - g - 5*y**2 wrt g?\nAnswer: 30*g - 6*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiimememmeiemmi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**3 + 21*m**2 - 11*m - 11. Suppose -18*a + 10*a - 204 = -42*a. Let r(l) = 8*l**3 + 11*l**2 - 6*l - 6. Determine a*s(y) - 11*r(y).\nAnswer: 2*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*y - 2, y + 5 = x. Let g = 5 - x. Let i be -1 - (0\/(-1) - 6). Calculate the greatest common divisor of g and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.26 + -0.26. Which is greater: 1\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let y = -5.04 + 0.04. Let w = -10 - y. What is the closest to t in w, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -306*z**3\/5 - 604*z**2\/5 + 16*z\/5 = 0.\nAnswer: -2, 0, 4\/153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9516 - 85636\/9. Which is smaller: v or 2\/161?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(243) + 2 - sqrt(243) - (sqrt(243)*2*4 + sqrt(243))) + -4*2*sqrt(243) + sqrt(243) + -1 + 3 + sqrt(243))**2 + -5.\nAnswer: -1620*sqrt(3) + 54706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 295972?\nAnswer: 295976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -24, -46, -64, -72, -64, -34?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/17 or 0?\nAnswer: -70\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 100002021101220?\nAnswer: -100002021101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -79*3*5\/(-15). Let w = g - 77. What is the third derivative of 28*q**4 - 4*q**w - 4*q**2 - 7*q**2 wrt q?\nAnswer: 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 - (-13)\/(-3). What is the units digit of 12\/((18\/u)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(13)*2 + -2*sqrt(13)*-4.\nAnswer: -3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 5. Let t(h) = 1. Suppose 3*z + z = -4*k - 28, -5*k = -4*z - 10. Calculate k*t(s) + f(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*p + 45897 = 12497 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1342*(-111)\/(-6512) - 21\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 6, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8517cd4 + -2?\nAnswer: 8517cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2009*c**5 - 4900*c**3*f + 7*c**2*f - 18352*c**2 - 36*c*f wrt c?\nAnswer: -120540*c**2 - 29400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499179679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 585442*m**3 + 987445*m.\nAnswer: 3512652*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -2*q, -2*n + 0*n - q + 6 = 0. Put -3, n, 1 in descending order.\nAnswer: n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276819 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/4*2968\/25970?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/((-1435)\/18491))\/(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 369*f + 8535. Does 17 divide l(58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 2 + (4 - 0). What is the second derivative of 14*c**s - 23*c - 16*c**2 + 10*c**2 + 6*c**2 wrt c?\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k**2 + 0*k**2 - 2*k)*(7*k - k - 7*k) + 6*k**3 - 43*k**2 + 43*k**2.\nAnswer: 5*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180633\/7 - -25806. Which is the fourth smallest value? (a) -3 (b) g (c) -1\/2 (d) 7\/9 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66105 is divided by 16514.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 31. Let z(r) = r**2 - 5*r. Let y be z(5). Suppose q + y*q = 9. What is the remainder when h is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 45.5. Which is the third biggest value? (a) 4 (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 17, k: 1}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2584\/204)\/(-22*2\/(-66)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39051001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let a(v) be the second derivative of 37*v**3 - 68*v. What is a(s(k))?\nAnswer: 222*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 16. Let y be (-24)\/40 - d\/(-5). Let t be (-1 + (-225)\/(-50))*(1 + 3). Put -4, t, y in ascending order.\nAnswer: -4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + -5*(-10)\/25. Suppose -y*j + 3753 = -12*j. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189584.9029 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10074293 + -107.\nAnswer: -107.10074293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.0625 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-3) - (-4)\/(-6). What is the units digit of 2 + -2 - (g + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/10*(-94600)\/(-4472). Which is greater: 161 or t?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/131337170 and 9\/20.\nAnswer: 262674340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1444 - 56?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -542*v - 15496. Determine u(-29).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424230099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819, -800, -769, -720, -647?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -56*q + 29*q + 2*z + 27 - 11, -5*q = -2*z + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 191*b. Let o(i) = i**2. Calculate h(o(c)).\nAnswer: 191*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:01 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - b - 8 = 11, 4*b + 16 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {a: 1, q: 5, c: 7}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56342 is divided by 3199.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(-5*b + 8*b - 11*b) + (-2*b + 0*b + 0*b)*(-115 - 5 - 117) to a + q*b and give q.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 10:31 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7091, 7128, 7183, 7250, 7323, 7396?\n\"Answer: -u**3 + 15*u**2 - u + 7078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11215 and 18760.\nAnswer: 42078680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-3513)\/(-24) - 5\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85.3 - 64. Let f = b + -23.07. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2*n - 2*n = 14*d + 16, 19*n - 75*n = -12*d + 7*d - 290 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -3*u. Let i be (30\/(-25))\/(u\/(-5)). Let w(k) = -k**2 + 2*k + 1. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12171*f**2 + 12091*f**2 + 2 - 24428*f**2.\nAnswer: -166*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*-7 + (-34 - -27).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.517 + 0.483. Suppose 4*m - 3*m - 4*u - 8 = 0, 0 = -2*m + 5*u + 10. Which is the closest to m? (a) 2\/13 (b) -3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 d when three letters picked without replacement from jdmmzmddzm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 224883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/(2\/(-12)). Let z be ((-5)\/x)\/(2\/4). Find the second derivative of -l**z - l**5 - 2*l + 7*l**5 + 7*l wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2, 7, -2827?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*w + 2789822 - 2794951 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j, -4 = 2*t - 0*t - 3*j. Solve p - 5*p - 12 = 0, 3*p + t = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2064, 1091, -1 in descending order.\nAnswer: 2064, 1091, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -82*u + 79*u. Suppose -i + u = 0, -3*x + 2*i + 7 = -0*x. Suppose 7 = -x*j - 3. Which is smaller: j or -9\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 16*g**2 + 11*g + 23. Let x be o(7). Solve 0*l = 4*v + 3*l, x*v + 10 = l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 60\/9)*(-7 - 0 - -67). Let n = 3 + 2. Let y be n\/(-2)*(-64)\/o. Solve 8*g = y*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-172)\/(-1935))\/(2\/9). Which is the third smallest value? (a) u (b) -0.26 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1668402 divided by -834201\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321001447.\nAnswer: 13, 19, 1299601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676 - -1002. What is the remainder when t is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00209668238 rounded to 7 dps?\nAnswer: 0.0020967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*1 - sqrt(117)))*-5)\/sqrt(9).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 1. Let z be n(-1). Suppose 20 = z*p - p. Let v = 34 - p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58189345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2730)*-10*-6. Let t = 207\/1430 - -1\/110. What is the fourth biggest value in -3, t, i, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 u, and 1 x when four letters picked without replacement from {j: 2, u: 4, a: 3, i: 1, x: 6}?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -30. Let r(j) = j**2 - 5*j + 13. Is 17 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - i**2 + 35*i + 274. What is s(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**5 + a**4 - 6*a**3 + 11*a**2 - 4*a + 3. Let m(f) = -9*f**5 - 2*f**4 + 11*f**3 - 22*f**2 + 8*f - 7. Let p(r) = 7*i(r) + 3*m(r). Factor p(z).\nAnswer: z*(z - 1)**3*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036246219 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*m*z**2 - 3*m*z - 62968659*m - 14*z**2 + 2444*z + 1 wrt z.\nAnswer: 482*m*z - 3*m - 28*z + 2444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381108387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382 - 38*d + 382 + 44*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4\/5, 0.3, -0.4, -1, 5, -49.92?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -27*n - 5. Let z be g(-4). Suppose -3*c - 36 = 2*f, 2*f = -3*f - c - z. Is 4 a factor of (301\/f)\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16076.4 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3, 80, 4 in descending order.\nAnswer: 80, 4, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1318663 to 5 decimal places.\nAnswer: -0.13187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 4*l - 4*l)*(4*l**2 - 3*l**2 - 3*l**2 + (-10*l - 9*l + 14*l)*(6*l - 3*l - l)) as p + d*l**2 + v*l**3 + w*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -88 + 151 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-252112)\/(-33)*((-1)\/4 - 0). Let a = 1908 + k. Let t = -1734 + 13855\/8. Calculate the common denominator of t and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*q - 2*q + 4*w, 4*q - 4*w - 48 = 0. Is -177*q\/(-3) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9*w**2 - 21 + 2*w**2 - 11*w**2.\nAnswer: -18*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61\/2 of a millimeter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 2*u + 1. Let r(x) = x - 3 - 2 + 0. Let s be r(4). Let b(c) = 2*c + 1. Let f be b(s). Calculate o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254406900 rounded to the nearest 1000000?\nAnswer: -3254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 28. What is the smallest common multiple of x and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -917\/95 - 37\/19. Calculate the common denominator of q and 51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7678.\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5407310 divided by 6\nAnswer: -2703655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241041 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37084016 to the nearest integer?\nAnswer: 6090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 110. What is the greatest common divisor of l and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7891 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**2 + 4*w**2 + w**2 + (4*w - w + 2*w)*(-w - 2*w + 4*w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 6. Suppose 0 = 4*v - v - 9. Let c(f) = 0*f + 5 - 5*f - v*f + 5*f. Let o be -4*(5 + -7 + 3). What is o*h(p) + 5*c(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 256*l + 639. Calculate h(-2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*u + 3*u = -593, 3*u = 4*a - 621. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 11*z**2 - 12*z - 11. Suppose 246 + 34 = -28*v. Calculate the least common multiple of j(v) and 29.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(2\/(-18)). Let m(i) = 2*i**2 - 2*i - 2. What is the least common multiple of m(n) and (-40)\/6*6\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.16 + 0.16. Suppose -3*f + 45 = -4*k, -5*f + 20 = -5*k + 2*k. Let b be (6\/k)\/(9\/5). What is the third biggest value in 0.5, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143414950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 18289631 - j + 18289631 - 26*j**2 + 11*j.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b**2 - 5072*b - 2032 = 0.\nAnswer: -2\/5, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 60 - f**4 - 4*f**4)*(3*f - 3*f - f).\nAnswer: 5*f**5 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 4. Let z be c(-4). Suppose -1\/3*x**2 + z*x + 0 = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 * 4\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 4*a + 4. Suppose 2 = -4*w + 3*w. Let b(n) = -8*n**2 - 9*n - 9. Let h(o) = o**2 - o - 1. Let z(g) = b(g) + 4*h(g). Determine w*z(r) - 7*c(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1)*b)\/((b**(-5)*b*b)\/b))**(-16\/9) assuming b is positive.\nAnswer: b**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 4) + -44 - -24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -408622240 rounded to the nearest one million?\nAnswer: -409000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 120 = -12*p. Solve 2*u - 2 = -2*o, 0 = -8*u + p*u + 4*o + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-30) + 6\/45*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 11*m + 10. Let z be q(10). Suppose -o - 2*o + 9 = z. Suppose -n = -o*n + 56. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j - 14. Suppose 5*c - 3*r = r - 30, -3*c + 4*r = 10. Let s be z(c). Let d = 27 - 25. Put s, 0, -9, d in ascending order.\nAnswer: -9, s, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 378. Calculate i(47).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = v + 2130, 12*v - 9*v = -6. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-124)\/(-154) + (-14)\/(-49). Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25846\/5395 - 10\/1079. Let w = 135908\/18655 - -1\/2665. Find the common denominator of w and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111110101110101 (base 2) to base 4\nAnswer: -113311311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 40*b**2 + 36*b - 76. What is the hundreds digit of x(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 6) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**5\/5 - 58*i**4 + 4704*i**3\/5 - 26112*i**2\/5 + 8192*i\/5 = 0 for i.\nAnswer: 0, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 5 + -1 - (-1305 - -1315).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 52?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 350 + 5*c**2 - 2*c**2 + 0*c.\nAnswer: 3*c**2 - 350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*o = -16, -19*x + 18*x - 3*o = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -24 - 3*b - 7 + b. Let y be w(-18). Calculate the greatest common divisor of y and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1755)\/(-7800) + (-5)\/8. What is the nearest to -2 in w, 0.092, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*n + 96*n + 3*n**2 - 41 - 197*n.\nAnswer: 3*n**2 + 6*n - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = 0. Suppose r = -0*v + v - 38. Find the second derivative of -16*y**5 + 72 + 9*y - 34 - v wrt y.\nAnswer: -320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997596 to the power of 1\/2, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qin when three letters picked without replacement from {i: 6, q: 6, b: 3, v: 2, n: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from xljxllxeeejxdxd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:43 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 276 + 279 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*g - 28, 4*v = 5*g - g - 4. Suppose g*p - 100 = -p. Let u = 8 - -2. Calculate the least common multiple of p and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20204032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 53103044 (base 6) to base 10.\nAnswer: 1548100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 145, 282, 419, 556, 693?\n\"Answer: 137*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4105, 4094, 4079, 4060?\n\"Answer: -2*u**2 - 5*u + 4112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*b + 644*b - 11 + 7 + 4 - 1793*b + 500*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30229, -118451, -265487, -471337?\nAnswer: -736001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*k - 12. What is the lowest common multiple of k and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/73 + 10445\/219. Let m = a - 48. Is m > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7666 + 0.2334. Let l = 1.9 - -0.1. What is the second smallest value in g, -0.13, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-18)*(1 + 8). Suppose -61 - 875 = -n*j. Calculate the highest common factor of j and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1680 and 1080.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -15\/4, 0, -0.4, 0.2 in decreasing order.\nAnswer: 0.2, 0.06, 0, -0.4, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/(-2) - (-642)\/(-18). Let o = a + 38. Suppose -3*f + 3*d = -33, -2*f + o*f - 20 = -2*d. Sort -3, f, 5 in increasing order.\nAnswer: -3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -60. Suppose g - 6 = 5*c. Sort c, -2, 3, -5 in descending order.\nAnswer: c, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/3 + (23 - -4676).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + (-3*(-1 + sqrt(1900)))**2 - (2 + 2*sqrt(1900) + (sqrt(1900) - (1*sqrt(1900) + sqrt(1900) - sqrt(1900)))*5)**2) + -3.\nAnswer: -260*sqrt(19) + 9498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ybyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11599 - -11602. What is the nearest to 2.3 in -5, -2, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 447157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -1*1*86768\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1. Let y = -14 - -2. Let s = -12 - y. What is the third biggest value in s, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(57)\/(sqrt(15)\/sqrt(5))).\nAnswer: 8 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(0 + 0 + p) + 11*p + 7*p + 56*p to l*p + b and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-5)\/((-50)\/15)). Suppose 6004 = -m*j - j + u, 5*j + 5992 = -2*u. Round j to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84.4 + -83.4. Let m = 1.1 + 3.9. What is the closest to w in 0, -3\/7, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 403, 594, 767, 916, 1035?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 516 and -2?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and -35\/292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 222988237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 2*y. Let s(k) = k. Let p(r) = -a(r) - 2*s(r). Let j(z) = -z + 2. Calculate j(p(v)).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1524007*c**4 + c**3*k + 12*c**2*k - 14*c*k - 2635682*c + 2*k wrt c.\nAnswer: 18288084*c**2 + 6*c*k + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 37. Let d(n) = -2*n**2 + 111. Let v(q) = -4*d(q) - 13*i(q). Let c(m) = m. Calculate v(c(z)).\nAnswer: -5*z**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -442842907 + 442864395.56966. Let a = 21489 - g. Let s = a - 0.43. What is s rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 82971.\nAnswer: 663768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 29. Suppose v = 3*p + 157, 31 = -2*p + 2*v - w. Let x = 7 - p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328 + 354. Suppose -54 + n = -7*w. Let u = -21 + 29. Solve -3*k - 2 = -k - 2*h, -w*k + 2*h - u = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -8. Suppose s*t = 9*t. Suppose 4*i = l + 2*l - 33, l - 4*i - 19 = t. Calculate the greatest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2 - 2*s + 1 - 2*s + 0. What is the remainder when c(-2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -496 - -723. What are the prime factors of m?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 23*i + 2*i + i**3 - 26*i**2 + 22*i in the form u*i + g*i**2 + t + h*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7436 and 28?\nAnswer: 52052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v. Let n be f(3). Let b be -3*(-2)\/n*4. What is the nearest to b in -3\/2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 x when four letters picked without replacement from zfxffffxfnxnnnznz.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (-15 + 17 + -2) - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*m + 45*m + 3 - 2 + (-3*m + m + 4*m)*(3 + 1 - 2).\nAnswer: 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 5, d: 1, t: 1, a: 1, g: 1}. What is prob of sequence daz?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 6*y**2 + y + 4. Let i be f(-4). Let k be ((-1)\/(-2))\/((-4)\/i). Let o = 3 - k. Solve -7 = -0*t + 3*t + 2*w, 5*t = -w - o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x**3\/4 + 373*x**2\/4 + 195*x\/2 = 0. What is x?\nAnswer: -1, 0, 390\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364034.\nAnswer: 2, 11, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvzf when four letters picked without replacement from {j: 1, f: 1, z: 1, v: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 - 10*u + 11. Is 20 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + t + 0*t)*(1 - 30*t**2 + t - 5 + 28*t**2).\nAnswer: 14*t**3 - 7*t**2 + 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose -4*t + 42 = -2*d, 0 = -2*t + w*t + 2*d - 18. Solve -j + 3*j + 2*s - t = 0, 0 = 3*j - s - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43362)\/(-32120) - 16\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 - 11*t**2 - 14*t + 9. What are the prime factors of v(7)?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p + 4*t - 31 = 0, -11 = -p + t. Let y be (-1)\/(-2 - (-27)\/p). Sort -0.2, y, -2 in descending order.\nAnswer: y, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 13. Let l be u(-10). Is ((-3)\/(-9))\/(l\/135) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 0.03395.\nAnswer: 12.03395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, y: 11}. What is prob of picking 2 y and 1 d?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:19 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 5) + (-3 - (8 + -28)) - (-1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 87078.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 431209 and -91.97.\nAnswer: 431117.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 8*c**2 - 68*c + 32 = 0.\nAnswer: 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 7*r**6\/6 + r**3\/3 + 18. Find the third derivative of y(l) wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56.019347*0.2.\nAnswer: 11.2038694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from {d: 1, b: 5, o: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1911 (base 10) to base 3.\nAnswer: -2121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339381378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.94 + -0.06. Let z = -439800 - -439806. Which is the third biggest value? (a) z (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.4052.\nAnswer: -4.2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107 and 12194?\nAnswer: 1304758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68891851, -68891868, -68891885, -68891902, -68891919, -68891936?\nAnswer: -68891953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 2. Let f = 545 + -550. Let b be g(f). Solve 2*i - 6 - 4 = -m, 3*i + 3 = b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-2)\/12). Let v(z) = 29 - 12 + 2*z + 5 - 10 - 5 - 8. Calculate v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49110 - 53654 = -284*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*t + t - 1195, -3*g = t - 253. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = h + 2, -2*j = 2*h - 0*j - 12. Suppose -b + h*b + 4*a = 4, 0 = 4*b + 3*a - 10. Calculate the lowest common multiple of b and 2\/10 + 441\/45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267218 + 267250 = -2*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227383 = 557*v + 213458 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.099 - -0.001. Let s = n + -68.1. Let r = s + 69. What is the closest to r in -4, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let x(b) = 4*b**2 - 2. Let s(f) be the first derivative of -3*f**3 + 4*f - 2. Let g(k) = d*s(k) - 5*x(k). Solve g(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:35 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13739*y. Let d(s) = -8*s. Determine d(f(h)).\nAnswer: 109912*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(70\/4)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 6*s**4 + 7*s**3.\nAnswer: -s**3*(s - 7)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97.3 - 28.7. Let a = 129 + u. What is the third biggest value in 0.4, 5, a, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {x: 7, b: 5, w: 1}.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49\/222 - 2\/37. Let p(d) = -d**2 + 16. Let w be p(0). Let r = -699401.9 + 699402. What is the nearest to r in -2, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9359110 (base 11) to base 4.\nAnswer: -332333120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28310323891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o - 4. Let f be w(3). Let k = -18 + f. Let c(b) = -b - 4. Let t be c(-3). Are k and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -68.93. Let q = -64.7 + g. Let n = q + -4.2. Which is smaller: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f + 12. Let n(p) = -29*p - 22. Suppose u = -3*s + 2*s - 7, 4*u = 4*s + 20. Let j(z) = s*n(z) - 11*k(z). Let w(i) = -i. Calculate w(j(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -117685 + 2*x**2 + 117749 + 3*x - 2*x**3 - 2*x**2 in the form t + h*x**2 + r*x + s*x**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199 (base 12) to base 3.\nAnswer: -100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/132 and -115\/6564.\nAnswer: 72204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354 - -359. Let b(v) = -3*v - 9. Let w(j) = 3*j + 6. Let k(x) = t*b(x) + 6*w(x). Determine k(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 n when four letters picked without replacement from {r: 3, a: 3, n: 2, g: 6, f: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -832?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/315 and 20\/9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/51)\/(145\/(-58)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.57 + 0.97. What is the nearest to 2 in -0.1, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127187294 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i - 3*o - 12, i - 5*o - 20 = 0. Solve -2 = -h - i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54.019. Let c = m - -0.119. What is the nearest to 0.1 in 4\/7, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c = 70. Calculate the greatest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 5*o + 0*o + (3 - 3 - 2)*(73 - 15*o - 73).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 329377303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 4. Let f be 36\/(-234) + (-134)\/(-26). What is the remainder when 169 is divided by q(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 8 = 20. Let z be (-2)\/9 + (-128)\/(-9). Let q = z + -10. Solve 0 = -q*u - 4*b, 9*u - w*b + 36 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.015891904 to 2 decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 31*x**2 + 2*x - 3. Give u(-2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -3 (c) -5 (d) -11 (e) -174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 4*k. Suppose -3*y = k*y + 6. Let r(z) = -12*z + 1. Let q be r(y). Is q <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let u(b) = 6*b**2 + 8*b - 15. Let w(z) = 4*c(z) + u(z). Is w(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((28\/152)\/7). Is 13 a factor of 5768\/w - 10\/(-95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) -179\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -600 + -508?\nAnswer: -b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -163*p. Let g be c(-1). Suppose 8*q - 3*q + 406 = -2*k, 2*q + k + g = 0. Let i = q - -113. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.938 - -0.038. Let p = -23.779 - a. Round p to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i + 21\/10*i**5 + 0*i**6 + 0*i**3 - 5*i**2 + 79\/336*i**8 - 10 + 0*i**4 + 0*i**7. Find the third derivative of c(j) wrt j.\nAnswer: 4740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 14 = -3*a, -5*a = -5*q - 30. Suppose -l**2 + a*l**3 + l**2 - 5*l**3 + l**2 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 212492, 3 in decreasing order.\nAnswer: 212492, 31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1136*1725\/(-139840) - 5\/380?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 24474*b + 959049.\nAnswer: -3*(b - 39)*(b + 8197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1587825\/13 - 122139. Find g such that 0 - 40\/13*g - 2\/13*g**4 - 48\/13*g**2 - k*g**3 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -17*h**3\/6 + 24*h**2 + h - 13. Calculate r(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -497657.7 to the nearest one thousand.\nAnswer: -498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20046416 (base 7) to base 5\nAnswer: -411041312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 282*w**2 - 810*w - 2490. Determine d(138).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*v = -6, -n + 8*v + 6 = 4*v. Let d be 5 - (16\/3 + n). What is the closest to -1\/3 in d, 0.08, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 + 213 - (0 - (-10 - -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 2379 - 2347 = 0. What is the nearest to 0 in f, 2.41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 2*q**2 - 3*q**2)*(-27 - 9*q + 27)*(4 + 0 + 5)*(-1 + 0 - 2) as x*q**3 + y + l*q + g*q**2 and give x.\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643740000?\nAnswer: 2, 3, 5, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41361587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (17 + (2 - -25) - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/36 - r**3\/3 + 4*r**2\/3 - 4*r - 3. Factor k(z).\nAnswer: (z - 4)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*x + 95, -5*n + 44 = -3*n + 2*x. Differentiate -6 + 7 - 2*v**3 - 8 + n*v**3 with respect to v.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*f = -461*f - 2824 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 98.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 + 312?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1220 divided by -122\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/8 + (-11 - 405\/(-36)). Let p(w) = 8*w**3 + 8*w**2. Let j(b) = 9*b**3 + 9*b**2. Determine n*p(k) - 4*j(k).\nAnswer: 4*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**5 + p**2 + 4*p**5 - 3*p**2 + (2*p + p - p)*(-p**2 + p**2 - p**4).\nAnswer: -9*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(6) + 3*(sqrt(6) - sqrt(12)\/sqrt(2))))\/(sqrt(432) + 2*sqrt(432)*-3).\nAnswer: -3 - sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)*1 - -2. Suppose c = -0*n - n + 4*b, 5*b = 5. Suppose 143 = n*s - 169. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485618818 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*b**3 + 2*b**4 - 65 - 5*b**3 + 63).\nAnswer: 4*b**4 - 6*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356443947?\nAnswer: 3, 47, 23804567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3223?\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150460, 150461, 150462?\n\"Answer: x + 150459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1074 and 232521.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 4*w**3 - 4*w**3 + (0*w + 21*w + 8*w)*(2*w**2 + 0*w**2 + 0*w**2) as m*w + p*w**3 + c*w**2 + u and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 104 + 32. Suppose 5*c - w = 51. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9367 - -9367.3. What is the fifth smallest value in 31, m, -1\/3, -3, 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/60 (b) 17\/2 (c) 3\/5 (d) 19668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311191, -622744, -934297, -1245850, -1557403, -1868956?\nAnswer: -2180509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*s**2 - 241 + 241 + (-4*s + s + s)*(4*s + 4*s - 7*s) + 2*s**2 - 3*s**2 + 2*s**2 in the form u*s**2 + j + h*s and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239424259 to the nearest integer?\nAnswer: 47323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + s**5 + 3 + (s - 6*s + 3*s)*(s**4 - s**4 + 2*s**4))*(-2 + 5 - 1) + 3*s**5 - 3*s**5 - s**5.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 - 76*i**3\/5.\nAnswer: 2*i**3*(i - 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 9. Let o(m) = -m**2 + 3*m + 3. Let y be o(5). Let w be d(y). Let q be 0\/(w + -1 + 0). Sort 5, q, -4 in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431994473?\nAnswer: 43, 1699, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 109424\/49 - (-6)\/(-42). Let h = j - 1546. List the prime factors of h.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*c, 3*z - 4*c + 11 = 0. Suppose -y = n - 4, 2*n - 4*y + 5*y = 11. Solve -1 + n = -z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5 = 3*b - 0, 4*b = g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r - 19*r + 2*r)*(r + r - 3*r) - 2*r**2 + 3*r - 3*r.\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -19, -29, -43?\n\"Answer: -2*u**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01292789668 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 11, h: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 4133*m - 37282. Calculate j(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 1823*g**3 - 818856*g**2 - 10955412*g.\nAnswer: -g*(g - 918)**2*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -16255930 to the nearest ten thousand.\nAnswer: -16260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218 + 359. Calculate the least common multiple of 126 and d.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, u: 14}. What is prob of picking 2 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by (-2 - 8\/(-10))\/((-12)\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*y - 183*y - 3118 - 122 = 0 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.1 + -12. Let j = -4707 - -1925161\/409. Let d = -836\/3681 - j. Which is the closest to w? (a) d (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -900*b**3 + 2*b**2 + b. Let c(n) = 1800*n**3 - 4*n**2 - n. Let i(o) = 3*c(o) + 5*z(o). Let k be i(1). What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4*y**2 - 482*p**4 - 623*p*y**2 + 26*y**2 wrt p.\nAnswer: -36*p**2*y**2 - 5784*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -16. Calculate the smallest common multiple of y and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 571705100 and 892.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47 - (15 + (-28 - -54)). Factor 3\/2*v**4 + p*v**3 - 3\/2*v**2 - 6*v + 0.\nAnswer: 3*v*(v - 1)*(v + 1)*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*g - 3*v, 5*g = -2*v - 49 + 175. Let x = 26 - g. Determine p so that -4\/7*p**2 + x + 4\/7*p**4 - 2\/7*p**5 + 2\/7*p + 0*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(6\/3*(-44)\/264).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -490624300.1 rounded to the nearest 1000000?\nAnswer: -491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 106, -50, -278, -584, -974, -1454, -2030?\nAnswer: -2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 3*u - u. Let o(d) be the first derivative of 4*d**3\/3 - 4. Determine y(o(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = d. Let t be (3\/2)\/((-3)\/d). Find the third derivative of -3*k**4 - 2*k**2 + 2*k - t*k + 5*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861966048.\nAnswer: 2, 3, 8978813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000441152975 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466865 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7187971869?\nAnswer: 3, 13, 61435657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-121)\/(-7) + (-4)\/14. Suppose 2*a + 2*r + 2*r - 22 = 0, 2*a - 2*r - 34 = 0. Let j = a + z. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -186 - 201 + 793 + 44*t + t**3 + 23*t**2 - 195 - 192. What is m(-21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*(a\/((a\/a**(-8)*a)\/a))\/a assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 0*t**2 + t**2)*(0 + 0 - 3*t)*(-5 - 1 - 1)*(20*t + 22*t - 15*t) to the form j*t + u*t**4 + g + v*t**3 + o*t**2 and give u.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193, -196, -201, -208, -217, -228, -241?\n\"Answer: -s**2 - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84910*q - 5*i = -84908*q - 27, 4*q + i - 9 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -2 (b) 0.09 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + r. Let g be h(-1). Let j be ((-13)\/g - 4)*(65 - -1). Sort 0, -2, j.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27362689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 14*a + 72. Let o be n(-8). Suppose o + 15 = 13*i. Solve 3*p - 2*h + 4 = -i, -3*h + 6 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*2*3)\/((sqrt(1584) + (sqrt(1584) - 3*sqrt(1584)) - sqrt(1584)) + sqrt(1584) + sqrt(11) + sqrt(11)).\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((54\/48)\/((-15)\/(-20)*-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089 and -4016?\nAnswer: -357.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y - 1 + 2 - 3*y. Let t be u(-3). Let h(b) = -7*b - 7. Let j(x) = 6*x + 6. Let q(g) = 5*h(g) + 6*j(g). Calculate q(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - 9) - (-1201 - -1189)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 - 8*l**2 - 6*l**2 in the form a*l**2 + k*l + t and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2. Let t(f) = 7*f**2 + 11*f - 11. Let o(j) = -2*j**2 - 3*j + 3. Let y(x) = 22*o(x) + 6*t(x). What is z(y(u))?\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose -5*b = 3*n, 27 = u*b - 2*n - n. Suppose 0 = -b*q - q + 12. Solve -g - 3*j = -2*j + q, 3*g - j + 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((4 + -1)*(-1)\/5). Suppose 2*a = u - 4, -5*u = -q*a - 0*u - 5. Let l be 1*a + 17 + -10. Solve -o - 3 = -l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 30*w = -283 - 242 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2888.65921 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -12*j + 3696. Let c = j - 61. Suppose -2*l + 205 = 5*i, 0 = -2*l + 3*i - 6*i + c. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + n)*(n**3 - n**3 - 2*n**3) + (-2*n**2 + 24*n**2 - 3*n**2)*(-n + n + 2*n**2).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*66.5351\nAnswer: 332.6755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -47, -68, -89?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1392*m - 23296.\nAnswer: 4*(m - 364)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y - 3*n - 1134, -759 = 2*y - n. Let s = y - -8331\/22. Find the common denominator of s and 103\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649 - 0.15.\nAnswer: -649.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouueuuoeuuuuu. What is prob of sequence oee?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 >= 9012\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z + 43. Let v be y(-20). Let q = v + -131. Solve -2*k - 3*x = -4*k + 10, 4*k - 2*x - q = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 74. Let h be b(-16). What is the units digit of -237*(-1 + -1)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025124 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -232360 >= -232359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101136 (base 12) in base 6?\nAnswer: 153212510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**9\/1008 - g**7\/280 - 2*g**3\/3 - 5*g. Let f(s) be the second derivative of r(s). Factor f(u).\nAnswer: 3*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21*o**2. Let i(r) = 7*r**2 + 25*r + 5. Let d(p) = 10*p**2 + 35*p + 7. Let g(h) = -5*d(h) + 7*i(h). Determine 2*g(z) - w(z).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7393\/4640 + 1\/2320. What is the common denominator of (-263)\/(-30) - 2\/(-5) and n?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971614537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*v - y, 3*y - 2*y + 15 = -3*v. Let p(b) = -4*b - 9. Let m be p(-2). Let k = m - v. Sort k, 0, 5 in decreasing order.\nAnswer: 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15233 divided by 5?\nAnswer: -15233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2366 + 267356\/113. Let h = 0.032 - -2.968. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.23 and 0.009173?\nAnswer: 0.50662479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*r - 22 = 0, r - 3*r = -3*t + 23. Suppose -2*h + 10 = -0*w - 2*w, -6 = 2*w. Put h, t, -5 in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -4, -5?\n\"Answer: -i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*t - 122, h - t - 35 = 4*t. Let k = 22 + -11. Calculate the remainder when h is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.03 - -0.03. Let z = -23 - -68\/3. Let n = z + 0. Which is the closest to i? (a) -0.5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22481 + 22477. Sort -3, u, 320, 5 in ascending order.\nAnswer: u, -3, 5, 320","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -29.386?\nAnswer: -29.386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 184, 189, 194?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/93, 1\/3, 2 in ascending order.\nAnswer: 2\/93, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + ad9?\nAnswer: ad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30822, 30835, 30848, 30861, 30874, 30887?\n\"Answer: 13*w + 30809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35440659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 2*l + 11. Let o be g(4). Let w = -29 - o. Let c(y) = y**3 + y**2 - y + 2. What is c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 2. Let x(b) = 3*b - 3. Let q(y) = -4*k(y) + 3*x(y). Let m be q(3). Suppose 3*h + 27 = 3*w, -h - 3*w = h - m. Sort h, 0, 3 in ascending order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(220) + 5*sqrt(220)*-1)*2)\/((sqrt(60)*-4)\/sqrt(12) - (sqrt(5) + sqrt(125)*6)))**2.\nAnswer: 2816\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(3)) + sqrt(12)\/(-1*sqrt(6)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 37*d - 5. Let b be h(19). Suppose 11*l = 14*l - 18. Suppose l*p - 122 - 46 = 0. What is the highest common divisor of b and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19386436177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-7) + 6 - (-100 + -2)\/3. Solve 2*g + w = 4*y, -5*g + 3*y - 25 - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 16768, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -17 + 3. Suppose j*d = -a + 7, 5*a - 3 = 2. Suppose d*x + 5 + 7 = 0. Which is smaller: -23\/5 or x?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c248 (base 16) in base 12?\nAnswer: -24948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66481 + 66481. Let l(v) = v**3 - 5*v**2 + 5*v. Let n be l(4). Solve -g - 4*k = -f*g - 14, k = -4*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:36 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)*(16 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 32. Determine d(15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/(3\/15). Let n = 13 - 7. Let i be n\/2 - (2 + -2). Sort j, 0, i in decreasing order.\nAnswer: i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*y + 3*q - 37, -41 = -3*y - 2*q. What is the smallest common multiple of 30\/8*(-2 + 6) and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 10*g - 9. Let m = -9 - 2. Let r be t(m). Suppose -4*y**2 + 3*y**r - 3*y**2 - 2*y**3 - 2*y = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -0.1 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5 - (-20 - (-24 - -22))) + 69?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -59*p**4\/12 + 3*p. Let u(z) = -51*z**2 + 16*z**2 + 16*z**2 + 20*z**2. Give u(l(w)).\nAnswer: 3481*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 202039.1914 to the nearest 1000.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1422 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3\/2 (c) -4\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/4)*(-46)\/1610*1085\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10892?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1394419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162080 and 17152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 26042640*q - 56518258180800.\nAnswer: -3*(q + 4340440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 5*d. Let k(t) = -3*t**2 - 3*t + 2. Suppose -s = m + 5, 2*m - s = -0 - 1. Let j be k(m). What is u(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -758*v - 16656. Determine m(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-6)*(-2)\/4. Let i = 698 - 699. Let u be i\/2*((-143)\/(-22))\/(-13). What is the third biggest value in u, -4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and -43\/154092?\nAnswer: 154092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5394 or 5393?\nAnswer: 5394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4589, -12, 38 in increasing order.\nAnswer: -4589, -12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0 (c) -0.9 (d) 7\/5 (e) -7431\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 746 - 742. Solve 4*u - 2*x + 16 = 0, v*u + 4*x - 2*x = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -4444, 5.\nAnswer: -4444, -250, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -160787766.63 take away -0.09?\nAnswer: -160787766.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -5 (c) -3.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 58*c**2 + 270*c + 50. Calculate the remainder when 4251 is divided by f(62).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 81.3. Let k = 5 - o. What is the nearest to -0.1 in k, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3240 and 3721788?\nAnswer: 37217880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhcf when four letters picked without replacement from {l: 1, y: 2, b: 1, c: 1, h: 2, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944 + -944. Which is the nearest to n? (a) 0.1 (b) 0.4 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*n - 4897 + 2256 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/8*g**4 + 0 + 0*g**5 + 1\/120*g**6 + 0*g + 1\/3*g**3 + 3*g**2. Factor l(h).\nAnswer: (h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 less than -4?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -554 - -558. Let u be t\/2 - 0\/18. Solve 0 = -5*n + u*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1 - 5*q**3 + 5*q + 5*q**3 + 3*q**3 - 3*q**2 - 4*q**3. Calculate s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 6*t. Suppose -i = -3*i + 2. Give c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -465 - -470. Solve 0*c = c - a*k - 19, -c - 4*k - 17 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - 1 - 1 - 9*i**2)*(i**2 - 3*i**2 + 4*i**2)*(0 - 3 - 1) as h*i**4 + p + t*i + w*i**2 + g*i**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let w be s(-4). Suppose 5*d - 2*r + 1 = 0, 0 = -24*d + 19*d + 4*r - 7. Solve 0 = w*n + k - 1, -3*k = d + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 782643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 812707882, 812707883, 812707884, 812707885, 812707886?\nAnswer: 812707887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 4*v**2 + 2*v + 53. Let c(o) = -o**3 - o - 1. Let u(f) = -2*c(f) - s(f). Differentiate u(w) with respect to w.\nAnswer: -3*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7885?\nAnswer: 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*m = 368 + 182. Let n be (-1)\/(2 + 21\/(-12)). Let l be n\/6 - (-70)\/15. Solve -2*d - 2*q + 6 = 0, 2*d = d + l*q - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 429 + -415. Suppose -h*s - 28578 + 337208 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.04033 rounded to one dp?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73809 (base 11) to base 15.\nAnswer: 21c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -69. Suppose -a*o = 2*o. Solve -s + o = 2*i - 6, 2*i + 5*s = -2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0272 + 0.2272. Let h(i) = -4*i - 2. Let s be h(-2). Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 66. Let v be l(27). Let r = -212 - -214. Solve -v = -3*s - 3*x, -4*s + 0*x + r*x = -10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 0*r**3 - 3*r**3 + (4 + 4 + 6)*(2*r + r + 2*r)*(2*r**2 + 9*r**2 - 4*r**2).\nAnswer: 489*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89752.18 nanoseconds in seconds?\nAnswer: 0.00008975218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:08 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 60*y**2 + y + 65. Let w be x(-60). Solve t + 0*m - 4 = m, 0 = -w*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206636007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -k + 8*j - 11, -k - j = 1. Suppose -8*t + 24 = k*t. Let d(c) = c**2 - 8*c + 5. Let p be d(8). Solve -p*a + 0*a = t*w + 20, 2*a = -w - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -452, -425, -386, -329, -248?\n\"Answer: k**3 + 20*k - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 a when four letters picked without replacement from {c: 4, n: 2, j: 1, a: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let a(s) be the second derivative of -11*s**3\/6 - 2*s**2 - 123*s. What is q(a(x))?\nAnswer: 121*x**2 + 88*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)\/(3\/(3\/14)). Let o = 237 + -110. Let y = -128 + o. Which is the nearest to -0.2? (a) j (b) y (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let y be h(-6). Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.218*0.1.\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -39*m - 1635. Give s(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3494066 + 6988126 + 10*t - 3494060.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -47. Let v = -4089 + 4085. Sort 4\/9, -3\/8, v, q in decreasing order.\nAnswer: 4\/9, -3\/8, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47a (base 11) in base 12?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 724*x - 44. Let c be u(-9). What is c rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 209 - 20. Suppose 10 = -11*i + h. Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - 1021665.384.\nAnswer: -1021663.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 627, -35, 2, 5 in descending order.\nAnswer: 627, 5, 2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiiibbbbbii. Give prob of picking 2 i.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 - (2 - 0))) + (-378 - -460) + 15?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:11 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1373 (base 16) to base 7\nAnswer: -20342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55933 - -181?\nAnswer: 55ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 3*u**2 - 2*u**2)*(2*u - 7*u + 0*u) + (0*u**2 - 2*u**2 + 4*u**2)*(-1 + 2*u + 1).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8796, 8798, 8802, 8808, 8816, 8826, 8838?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = -b. What is the remainder when 9 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7444 and 20.\nAnswer: 37220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 1720*b**2 - 54300*b + 414000.\nAnswer: 4*(b - 15)**2*(b + 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 3*c**4 + 5*c**2 + 2 + c**3 - 6*c**2 - 3*c + 4*c**2 to the form k*c**2 + x*c**4 + l*c**3 + j*c + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53430736?\nAnswer: 2, 19, 175759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = -2*w, 2*f = -3*w - 0*f - 13. What is the tens digit of 21 + ((-3)\/w)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 41*k**6\/120 + k**5\/60 - k**4\/8 + 4501*k**3\/6 + 2*k**2 + 35*k + 3. What is the first derivative of t(l) wrt l?\nAnswer: 123*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -50*u - 108. Let z be h(-3). Suppose -22 = -4*t + 6. Calculate the highest common factor of z and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - q - 2*q)*(4 - 4 - 2*q) - 118*q - 223*q - 3*q**2 + 105*q + 2.\nAnswer: -7*q**2 - 236*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 7.\nAnswer: -198\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 2. Let j = -14 + 10. What is the smallest common multiple of r(j) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + c**2 + 93 - 185.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 37 = 5*c. Suppose 4*q - 1 - c = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -3*r, 5*r + 36 = -m + 61. Let y(b) be the third derivative of 1\/4*b**r + 0 + 0*b + 19\/6*b**3 + 19*b**2. Differentiate y(v) with respect to v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t = 140*t + 1084 + 1259 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/765)\/((-2)\/6*3). What is the closest to 1\/5 in h, 9, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -5682\nAnswer: -13\/2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(2176))\/(-3*sqrt(2)*-1).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(637) + 0 + sqrt(637)))**2 + 1 - -3*(2 + (-2 + sqrt(1053))**2)*-5.\nAnswer: 540*sqrt(13) + 47817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*r + 14, r + 35*m - 28*m - 44 = 0. Factor -2\/3*p**r - 32\/3 - 20\/3*p.\nAnswer: -2*(p + 2)*(p + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 51206?\nAnswer: -10241.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*504\/(-1568)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 less than 1404\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - d**4 + 43*d**2 - 19 - 14*d**2 + (-3 - 2 + 6)*(-3*d + 3*d**4 + 3*d) to the form f*d**2 + l*d**3 + g*d**4 + u*d + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10221103 (base 4) to base 3\nAnswer: 222002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.762 - 3.762. What is the closest to r in -5, 0.1, -1\/8, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*y**3 + 420*y**3 - 238*y**3.\nAnswer: 469*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 432800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11286465 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q - 2. Suppose -3*j = -0*j. Suppose -p + 2 + j = 0. What is the smallest common multiple of l(p) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1952*h*r*y - h*r + 1780*h*y**2 + 8*r*y**3 + r*y**2 - 37457*r*y + 162*y**2 wrt y.\nAnswer: 3560*h + 48*r*y + 2*r + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 33 = 33. Suppose w = 89*p - 97*p. Which is the nearest to p? (a) 5 (b) -0.1 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895232470 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 1874*y + 346025. Determine c(-158).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39605 + -39604.9999944402. What is c rounded to 7 decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 18, 1\/10, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*a - 3, -p = 4*a + 3*p. Let r be a*4\/6 - 1. Is (-4)\/(-6) + (-37)\/r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + -1 + sqrt(605) + sqrt(605) + 5 + 0 + sqrt(605) + 5 + 1 + 2*(sqrt(605) + 1*sqrt(605)) + 4)**2.\nAnswer: 2310*sqrt(5) + 29865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 47, -4, 6, -17 in descending order.\nAnswer: 47, 6, 4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364055 is divided by 664?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 668540*f**3 + 365581 wrt f.\nAnswer: 2005620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.37218ml?\nAnswer: 0.06837218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g - 3. Let h be k(-6). Suppose h*q = -59 + 65. Let b be (-3)\/(-6)*q*-2. What is the second smallest value in b, -0.3, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 0 - 2\/5*w**4 + 0*w**2 + 2\/5*w**3 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 3 = -2*k + 2*h, -k + 5*h = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16 + 9*q + 3*q - 10*q + 5*q. Let m(p) = 2*p. What is x(m(b))?\nAnswer: 14*b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f**5 - 130*f**4 - 180*f**3 - 30*f**2 + 35*f = 0. What is f?\nAnswer: -7, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrrqrrrqrqrrqqrr. Give prob of picking 4 r.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*w + 107*w - 5548 = 469*w + 675*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 808\/7. Let u = -18 + 21. Let i = -2.6 + 3. Sort u, i, p in increasing order.\nAnswer: i, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.95041 microseconds to minutes.\nAnswer: 0.0000006491735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*n + 3, 4*w - 2*n = 2*w + 8. Suppose v = -2*a + 10, w*v = v - a + 26. What is the remainder when v is divided by (-4 - 14\/(-6))\/(5\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-445)\/(-1958))\/(4\/(576\/(-15)))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-3)\/4*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5*f + 15, 2*f - 6 = -2*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5776.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2065154051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52090, -47343, -42598, -37849, -33090, -28315, -23518, -18693?\nAnswer: -13834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 14. Let g = -10 + 18. Let u be c(g). Solve -m - m = -l - 1, -m + u = -l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 11*y - 45. Let a be q(4). Let m = 24 + 36. Calculate the highest common factor of a and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 126386108 + 126386108.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -982, -2301, -4180?\nAnswer: -6619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-21 - -9) - (-4 - (-24 - -90)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 + 70*2176\/(-952).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*m + 45, 0 = -v + 2*m - 0*m + 26. Let j = v - 14. Let k(f) = f**3 + 350 - 350 + j*f**2. Calculate k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y. Let s(o) = 3*o. Let u be s(3). Let d(c) = 4*c + 4*c - u*c. Give j(d(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266728437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10814, -21615, -32430, -43265, -54126?\n\"Answer: -q**3 - q**2 - 10791*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18503 + 4008*t**2 + 18503 + (-4*t + 4*t + t)*(-4 + 2*t + 4).\nAnswer: 4010*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(-6*u + u + 0*u)*(-55*u - 1 - 135*u**2 + 134*u**2 + 19*u).\nAnswer: 5*u**4 + 180*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {k: 2, x: 13, o: 5}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t - 4*t + (-2*t + 2*t - 9*t)*(-3 + 0 + 5) - t + 4*t - 5*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affaayfafaafaayafff. Give prob of picking 4 f.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -38\/41755 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5850433 and 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - x = 11, 4*x + 12 = 2*n - 4. Suppose 0 = -2*b - 4 + n. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2373518 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.021 + 0.021. Let a = -97 - -96.984. Let q = 0.316 + a. Sort -9\/4, q, 0.1, g in increasing order.\nAnswer: -9\/4, g, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61593923117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjj. What is prob of sequence jjn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.06 + 0.06. Let w = 0.02 + -4.02. What is the smallest value in w, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let u(w) be the first derivative of 5*w**3\/3 + 2. Give n(u(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -16, -19, -36, -73?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3611 - -0.31. What is y rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 32 + 0*v - v)*(2*v**2 + v**2 - 5*v**2).\nAnswer: 2*v**3 + 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 100*q**4 + 2628*q**3 - 9308*q**2 + 11152*q - 4368 = 0. What is q?\nAnswer: -42, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 3)*168\/9 - -1. What is the third derivative of -78*w**5 - g*w**2 + 623 - 623 wrt w?\nAnswer: -4680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l*l**1)**(-2\/35)*((l**(1\/3))**(34\/7))**11 assuming l is positive.\nAnswer: l**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qswwwssss. Give prob of picking 1 w and 2 s.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/144 + (-2)\/9. Let m = 24.26 + -24. Let d = m + -0.26. Which is the closest to d? (a) 4 (b) p (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28\/(-7) + (7 - -556) is divided by 193?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 375, 359, 333, 297, 251, 195, 129?\n\"Answer: -5*n**2 - n + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11*m - 7 = -12*m, m = -5*u + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7176*a**2 + a - 4920 wrt a?\nAnswer: 14352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148\/21 + -7. Let o(t) be the second derivative of 1\/5*t**5 + 0*t**4 + 0 - u*t**7 - 4*t + 0*t**3 + 0*t**2 - 1\/15*t**6. Suppose o(x) = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 5, 1, -246166 in descending order.\nAnswer: 11, 5, 4, 1, -246166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.5 + 107. Let f = 11 + 126. Let z = j - f. Which is the biggest value? (a) z (b) 1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 47*n - 10 - 19 in the form u*n + s and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 21 = 6, -5*g + 4*f = -35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -52. Let m be 17\/a + (-4)\/10. Suppose 25 = m*y - 254. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*x - 2 - 9, 0 = 19*s - 18*s - 8*x + 15 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1601 and 3816929691.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 30*o = -20*o + 45888. What is the highest common factor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooseoao. What is prob of picking 1 e and 1 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8.4499 + -224\nAnswer: -215.5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5727173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-2) - 0\/(-2). Let c(m) = -m + 2. Let g be c(k). Suppose 2*j - g = j. Solve 0 = -j*v + 2*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3*m*w + 68*j**3 + m*w**3 - 3*m*w**2 + 2*w**3 wrt m?\nAnswer: -3*j**3*w + w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/191266208 and -2\/2735?\nAnswer: 956331040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 212 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.19 + 0.19. Let w = c - -15.93. Let m = w - 0.93. What is the closest to -1 in m, -3\/5, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 76415693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1 + sqrt(180))*-5 + 3 + sqrt(180)*2)**2.\nAnswer: -768*sqrt(5) + 11584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6 - 24. Suppose -4 - m = -5*c. What is s in 2*s**c + 4*s**3 - 2*s**5 - 2*s**2 - 2*s = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 63417 = -42*m + 37*m, 0 = 4*m + r - 50728. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - (-10 + 10) - 16 - -24?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2596 - -2640) + -28 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19491*f**2*j**3 + 8*f**2 - f*j**4 - 7576*f*j**2 wrt j?\nAnswer: 116946*f**2 - 24*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236142 and 192?\nAnswer: 7556544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - -16. Calculate the greatest common divisor of 195 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*i + 55 = 1513*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Solve 1 = -2*b + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhw when three letters picked without replacement from {c: 2, v: 7, h: 1, l: 2, z: 2, w: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 175 (c) 2 (d) 0 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1288893, 2577779, 3866667, 5155557, 6444449?\n\"Answer: a**2 + 1288883*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose l*z + 4*f + 37 = -2, -2*f + 65 = -5*z. Suppose 4*r = -b + 8, -2*r = -3*b + 5*b - 4. Put r, -3, z in decreasing order.\nAnswer: r, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -524035 - 200?\nAnswer: -524235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 13*v + 22. List the prime factors of s(-8).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 10\/35 + 13\/(-21). Let u be (-21)\/(-24)*2 + -2. Let j = 3 + -3.2. Which is the nearest to -1? (a) u (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (2 + -1 - 4))\/1. Which is smaller: y or 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 676, -1, -12, 3, 0 in descending order.\nAnswer: 676, 3, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 743418 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (10 - (3 - 0) - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by 153188?\nAnswer: -201\/76594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + p**2 - 7830*p + 39175. Give t(5).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and -0.33?\nAnswer: -19.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25*(-32 - -42))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 11. Let l = -16 + o. Let a = l - -3. Is -3 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b. Let a(z) = 5*z**3 - z - 8*z**3 + 7*z. What is -a(o) + 6*u(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - 1 - 14\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 - 70. Let i(h) = -6*h - 49. Let n be i(-11). Suppose -38*t + n*t = -630. Calculate the remainder when c is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-13 - -16) + 0 + -15 - -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = 5*w. Suppose 4*d + w - 25 = 0. Suppose -4 = 5*g + d. Let z(a) = -a - 3. Let m(s) = -1. Calculate g*m(x) + z(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950841784 and 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -75, 1, 1.6, 22?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcck. What is prob of picking 1 k and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/892 and 15\/22.\nAnswer: 9812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4710.9817 + -2276.8496. Let r = 2434 - v. Round r to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545221770?\nAnswer: 2, 3, 5, 18174059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397 by -72.\nAnswer: -397\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.54476 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/105 and -40\/12957?\nAnswer: 64785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50621 or -50622?\nAnswer: -50621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/16 in -5, 0, -1392?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 5) to base 8\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 25d1726?\nAnswer: -25d172b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102186497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 19 + 79. Let x(g) = 10*g - 49. List the prime factors of x(a).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4753961065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/7*42\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-2)\/1)*(-4)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/(-4))\/(-7*(-2)\/4 - 3). What is the third smallest value in o, -3, -22, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3992952 and 26448?\nAnswer: 151732176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5366588.\nAnswer: 2, 19, 241, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*k = -3, -4*w + k - 4*k = -12. Suppose -w*g + 14 = -10. Solve 5*p = p + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3356.380661 - -0.5.\nAnswer: -3355.880661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3*c**5\/20 + c**4\/6 - 4*c. What is the third derivative of d(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81304856.5 - -24.9?\nAnswer: -81304831.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -470427 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/5))\/r)\/((r**(3\/5)*r)\/r))**(2\/33) assuming r is positive.\nAnswer: r**(-8\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycuuyuz. What is prob of sequence zyuu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20684 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216185*t**2 - 312*t - 145.\nAnswer: 432370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76446278 is divided by 1945.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let b = 1 + p. Suppose b = -5*a + 3*a. Are 2\/11 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 + -258. Suppose t = 4*q + 20, -3*a - 3 = -2*a + 2*q. Solve -a*c = -6*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 18, 0.5, -219, -3, -2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/6)\/((-7)\/(-21)). Let t = 115 + -106. Let k = g + t. Let d(a) = -2*a. Give d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 42 = t + t, 0 = 4*t + 5*f - 110. Calculate the highest common divisor of 300 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 + 27*l**3\/2 - 17*l**2\/2 - 3*l = 0. What is l?\nAnswer: -1\/4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.11147 milligrams to micrograms.\nAnswer: 36111.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i - 81*i + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -92563965\nAnswer: 14\/92563965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 + 18) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 67a?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - -0.9. Let i(h) = -5*h - 3. Suppose -w = -3*w + 2*l, 5*l = 0. Let t be i(w). Put k, -0.3, t in increasing order.\nAnswer: t, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/375 and 97\/390?\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - -3 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 124*n + 81. Let o be s(-1). Put o, 60, 4 in ascending order.\nAnswer: o, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + d. Let j be a(-2). Suppose -x - j = -3*x. Calculate the common denominator of 58\/7 and 0 - x\/(-4)*18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9968558521 rounded to three decimal places?\nAnswer: 0.997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -55*d**7\/42 + 3*d**6\/2 + d**5\/2 - 2*d + 26. Solve q(a) = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/7)\/(1812\/(-3171))*(-3)\/12*5.\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -40. Let p be (2 - a\/15)*-10 + 0. Put -5, 2, p in ascending order.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59598889.\nAnswer: 7, 17, 500831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 60084*i + 2*i**2 + i**2 - 3 - i**3 - 60081*i. Let m be r(2). Solve -11*p = -m*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m + 960 + 1279 = 1015 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 10338)\/(14 + (-1107)\/81). Let g be 1*((-4838286)\/(-52))\/(-3). Let h = g - l. Find the common denominator of 61\/4 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 3*w**2 + 4*w**2 - 3*w**2 + 3*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 73336, -82, -1\/8 in ascending order.\nAnswer: -82, -1\/8, 73336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f - 16*f - 19*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001302 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1696 - 1733. Sort 0, w, -10 in increasing order.\nAnswer: w, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1300?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/2, 10, -1\/8, 3, -390, -1, 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)\/q)**(-19)*(q*q**0)\/(q**(-2\/15)\/q*q))**(-46) assuming q is positive.\nAnswer: q**(5773\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*x - 3, 5*z + 5*x - 8 = -3. Let c = 3 - z. Suppose -4*m = -2*v + 14, 3*v + c = 3*m + 17. What is the third smallest value in 1\/5, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-11 + 12 - (13 - 6)). Let r(d) = -3*d**2 + 17*d + 1. Let v(k) = k**2 - 6*k. Determine g*r(c) + 17*v(c).\nAnswer: -c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112472, -449865, -1012188, -1799441, -2811624, -4048737?\nAnswer: -5510780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 + 144*n + 971. Calculate x(-8).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12367525 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-354))\/(193\/(-579)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 204, 4 in ascending order.\nAnswer: -4, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/20 - (-9 - (-141)\/15). Which is the nearest to 0? (a) o (b) -1\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8046 not equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + 5*sqrt(102)*-2))\/sqrt(6).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471 divided by 8?\nAnswer: -1471\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*k - 65. Suppose -5*r - k = -f, r - 3*f = -6 + 15. What are the prime factors of (-2 - r) + -3 - -133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 - 4. Let h be v(-3). Let b(r) = -2*r**3 + 5*r**2 + r + 7. Let c(w) be the first derivative of -w**3\/3 - w + 1. Give h*c(y) + b(y).\nAnswer: -2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1404098 and 3.47.\nAnswer: 1404101.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = -16*i. Let b = -70 - -4832\/69. Is b != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 + j - 3. Let w(h) = 15*h**3 - h**2 - 3*h + 7. Give 7*l(z) + 3*w(z).\nAnswer: -4*z**3 - 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 3. Let p be z(-2). Let h(m) = -4*m - 2. Let j(g) = -6*g + 477 - 957 + g + 477. Let i = -10 - -6. Determine i*h(q) + p*j(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:09 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2f4 (base 16) to base 8\nAnswer: -1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(-2*6\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001294318227 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**8\/1344 + o**7\/840 + 4*o**4\/3 + o**3\/6 + 5*o. Let q(l) be the third derivative of s(l). Factor q(g).\nAnswer: g**2*(5*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*i - 8, -2*i + 1 = 3. Suppose -a*y - 138307866 = -7*p + 4*p, -y = 0. Let z = 84502622 - p. What is z rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 39100085*p**2 + 76440226295440*p + 2369684590489280 = 0. What is p?\nAnswer: -31, 3910024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 1. Let m = 21 + -21. Is v > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -14\/5241 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193809304 and 63024.\nAnswer: 10504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w - 6. Give u(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(162) + 3 + -1 + sqrt(162) + sqrt(162) + 1)**2 - ((-1 + sqrt(162) + 2)**2 + -1)) + -3.\nAnswer: 90*sqrt(2) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/380107 and -25\/7917?\nAnswer: 33069309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 598511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/12 - n**3\/3 + n**2\/2 - 20*n. Suppose -45 = 3*r + 2*r. Let o = 5 + r. Determine i(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69323.9 and 0.0464?\nAnswer: 3216.62896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 10:13 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -465 - -467. Suppose -4 = q*k - 6*k. Solve 2*o = s - 4 - k, -8 = 2*s + 5*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16970411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353463867 to the power of 1\/2, to the nearest integer?\nAnswer: 18801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -3, 1, 4, -4, 21.\nAnswer: -4, -3, 1, 4, 21, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 16*f**2 + 4*f - 29. Let h be u(4). Suppose -707*n = -713*n + 324. What is the greatest common divisor of n and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66243631 to 4 decimal places.\nAnswer: -0.6624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**5))*k)\/k*k\/(k\/k**(-3))*(k**(2\/13)*k*k*k)\/((k\/((k*k*k\/k**(2\/9)*k)\/k))\/k) assuming k is positive.\nAnswer: k**(-125\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-14 - -6) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/(3\/(-15)). Let c be t\/(-10) + (-232)\/(-20). Suppose c*y = 15*y - 921. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 10*w + 260. Let r = w - 22. Suppose z = r*h - 709, -4*h = -2*z - 0*z - 710. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 0.1, 0, 6.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 s when four letters picked without replacement from gtossttot?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43418 and 5.\nAnswer: 217090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 212*u + 5618 = 0. What is u?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 26*u + 63*u**3 - 8*u - 5*u - 13*u + 122*u**2.\nAnswer: u**2*(u + 2)*(u + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.91 + -5.91. Which is the closest to 0.8? (a) v (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -17. Suppose 2*g - i = 3*i - d, 2*g - 8 = -i. Solve 0 = 4*y - g*f - f, 0 = -3*y + 2*f - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 226 = 3*o + 31, -4*w + 5*o = 258. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 33*x**2 - 2. Suppose 2*w + 3*w + 10 = 0. Let a be y(w). Let u be (-4)\/6 - a\/30. Let m(j) = j**3 + 6*j**2 + 3*j - 6. Give m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10399464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -3*b - 9, -3*r - 1 = 2*b. Let j be ((-27)\/45)\/((-3)\/15). Solve 3*u = -5*k + 12 + 19, -21 = -j*k - r*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1245, -10, 1 in decreasing order.\nAnswer: 1245, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c**2 - 5*c + 3. Let s = -4 + 8. Is z(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 196*n + 192.\nAnswer: 4*(n + 1)*(n + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + z**2 + 2. Let d(g) = 8*g**3 + 3*g**3 + 68322*g**2 - 7 - 68325*g**2. Let t = -8 - -1. Give t*v(i) - 2*d(i).\nAnswer: 6*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -2.98. Let t be (-111)\/(-60) - 6\/24. Let g = 14\/15 - t. What is the second smallest value in g, -0.1, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(152) + 2*sqrt(152)*1 + (sqrt(152) - -1*sqrt(152)*5 - sqrt(152)))\/(sqrt(1152)*3 + sqrt(1152) + sqrt(24)\/(sqrt(3) - sqrt(3)*2)))**2.\nAnswer: -7620\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55544 and 965159176.\nAnswer: 965214720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1)*m*m*m)\/m)**(-21)*(m\/m**1)**(-35))\/((m**(-1)*m*m*((m\/(m**(-1\/2)*m)*m*m)\/m)\/m*m*m)\/(m**(-2\/5))**(-42)) assuming m is positive.\nAnswer: m**(-287\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(11) - sqrt(44)\/sqrt(4)))**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -103831042 less than -103831052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(-1 - 0). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/5 - 1231772*m**2\/5 - 739056*m.\nAnswer: -4*m*(m + 3)*(m + 307940)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 - b + 10. Let j be s(7). Let p be j - (0 + -4 + 2). Suppose 0 = -p*o + 342 - 17. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -161 and 1.33.\nAnswer: -159.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 7. Let v be l(-5). Let z be (-675)\/(-405) + -5 + 4. Let w = -2\/47 + -133\/188. Which is the nearest to z? (a) w (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 124*r**2. Let b(g) be the second derivative of g**3\/3 - g - 8. What is b(t(y))?\nAnswer: 248*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -32.3. Let o = 0.4 + 0.2. Let h = o + -0.1. Which is the nearest to -0.1? (a) 0 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224195040019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.0622, 0, -1\/5, 43 in decreasing order.\nAnswer: 43, 0, -0.0622, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1592 - -6329\/4. Calculate the common denominator of 53\/6 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.65, -4, 0, 0.4, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4 and -97\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/234*(-1)\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-672)*18\/150?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-3 - -2 - -9). Suppose q - 3 = 2*l + 3, -5*q + 4*l = -6. Let z be 2 + 2 + q + 1. Solve -z*g - 2 - s = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 118, 272, 518, 886?\n\"Answer: 5*w**3 + w**2 + 54*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -33. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24\/108 + (-320)\/(-18) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1372 and -87\/116546500.\nAnswer: 815825500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.714449 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3800) + 3*(sqrt(3800) + sqrt(3800)*-3))*2)\/((sqrt(72) + 1*(-3*sqrt(72) - sqrt(72)))*5).\nAnswer: 10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11.7 (b) -0.4 (c) -0.3 (d) 2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*1*6 + (0 + sqrt(1584))*2 + (0 + sqrt(1584) + 5 + sqrt(1584))*-6)*-6)**2.\nAnswer: 103680*sqrt(11) + 944784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**6\/1080 + 7*s**5\/360 - 70*s**3\/3 - 115*s. Let a(r) be the second derivative of o(r). Factor a(w).\nAnswer: -w*(w - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270341 to the power of 1\/2, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let z = -4 + t. Let m = -23 + 25. Which is the biggest value? (a) m (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4\/(-13074))\/(4\/(-8)). Let d = w - 324655\/26148. Calculate the common denominator of -87\/4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/1172 + 885\/2344. Let a(j) be the first derivative of 1\/8*j**3 - 5 + z*j**2 + 0*j. Factor a(q).\nAnswer: 3*q*(q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729ab5 (base 12) in base 5?\nAnswer: -430103200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3892*w - 2076*w - 1029*w - 1230*w to l + u*w and give u.\nAnswer: -8227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 3*v - 2*v**2 + 0*v**2 - 2 + 0*v**2. Suppose -5*k - a = 18, 4*k + 24 = k - 5*a. Calculate l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*c + 10, 5*c = -3*m + 1 - 6. Let r be (-36 - -39)\/(-2 - -3). Suppose r*v + 3*o - 6 = 0, m*v - 5*o - 18 = -2*o. Solve -1 - 5 = -v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12080*j**2 + 5759*j**2 + 2*j + 5760*j**2 - 5*j to the form f*j**2 + l*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 1. What is the tens digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**2)**(-42)*(j*j\/j**(4\/3)*j\/(((j*j*j\/j**(1\/7)*j)\/j)\/j))\/((j*j**(-2))\/j**3) assuming j is positive.\nAnswer: j**(-508\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 29736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - -1271. Let k = -269 + l. List the prime factors of k.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16313 is divided by 2675.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*-3*sqrt(19) + (sqrt(475)*-4)**2)*-3.\nAnswer: -22804 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = -5*v + v + 5*v. Solve v = -4*g + 610 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*l**5 + 642*l + 111*l**2 + 2034*l**3 + 52*l**5 - 2034*l**3 wrt l.\nAnswer: 20*l**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -780*v**2 - 160*v.\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/300 + 77*b**4\/6 + 1541*b**3\/30 - 204*b**2. Find w such that p(w) = 0.\nAnswer: -1, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + s**2 - 15 - 7 + 2 - 4*s. Let w be x(11). Suppose 2*n = -2*l - w*l + 700012, -n = -4*l - 349988. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 48 = 15*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -17059852?\nAnswer: 17059848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 15. Let h(q) = -2*q + 6. Let r(c) = -8*h(c) - 3*k(c). Let n(t) = -t**3 - 6*t - 4. Calculate -2*n(p) + 3*r(p).\nAnswer: 2*p**3 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.707991 millennia in years?\nAnswer: 7707.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*15\/2. Let m be 4\/10*v*1. Find the third derivative of -2*u**4 - 3*u**m + u**2 + 7*u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*x - 108 - 616, -5*v + 1783 = -4*x. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007040730245 rounded to 6 decimal places?\nAnswer: -0.000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (854*p**4 - 217*p**4 - 263*p**4)*(-2 + 4 + 0) in the form y*p + t*p**4 + w*p**3 + v*p**2 + b and give t.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 174\/210 + (-34)\/14 + 2. Let t(y) = 2*y. Let k be t(2). What is the closest to 4\/7 in k, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51212 is divided by 1138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 5) + -2 - ((59 - (-6 - 0)) + 1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2. Let y(p) = -75 + 6*p + 75. What is y(v(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(9\/414). Let k = g + 18. Let d(n) = -5*n - 16. Let i be d(k). Solve 0 = -5*w - 34 + i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43144?\nAnswer: 2, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33895575246*a**4 - 11241429784*a**3 - 18999708*a**2 - 10680*a - 2.\nAnswer: 2*(3*a - 1)*(1781*a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.711 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472482.\nAnswer: 2, 3, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561 plus 0.5434?\nAnswer: 3561.5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9481 + 9641. Solve o = -133*n + 153*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 23*y - 261. Let f be l(11). Let p(c) = -1 + 4 - 8*c - c**2 - 4. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let q(g) = -2769*g - 7. Calculate q(m(h)).\nAnswer: -2769*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3, -42*u + 47*u - 3*o = 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21adc (base 14) to base 13.\nAnswer: 2b27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-49 - (1 - 150)) + -28.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/(-8) + 4)*(-6 + -2). Let s be (2 - p) + (-64)\/(-80). Which is the biggest value? (a) -86 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873 - 866. Suppose 3*s + 3*s = 0. Suppose 1 = 3*b + t - s*t, b - 4*t = 9. Calculate the greatest common factor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/6)\/(20\/(-12)))\/(7\/(-35))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 2*j, -2*w = -5*j - 5*w + 3. Solve j*i - 7 + 7 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516086563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -7*x**4\/4 - x**3\/3 - x - 5. What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*m*n + 539*c**3*m + 768*c**3 + 38*c**2*m*n - 3*c*n + n with respect to m.\nAnswer: -c**3*n + 539*c**3 + 38*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2.5, -5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*5 - 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-5)\/30). Let y be (-3)\/(-3 - (-540)\/176). Let u = y - -47. Sort c, u, 5 in ascending order.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420110 and 341310?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-8\/3)\/k*k*k)*k*k**(-1\/13)*k**(2\/23)\/k**(-7))\/(k**(-3)*k*k\/k**(-7\/2)*k*k**(2\/3)*k**2) assuming k is positive.\nAnswer: k**(2099\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 159850*n + 314619000.\nAnswer: -5*(n - 33830)*(n + 1860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1\/3 (c) -0.059 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 21*i + 2268 = 0. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3154 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 26*q**4 + 9*q**2 + 10 wrt q?\nAnswer: 120*q**3 + 624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351, -361, -373, -387, -403?\n\"Answer: -p**2 - 7*p - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**4 + 2*q + 0*q - 19*q**4 + 35*q**4 - 15 + 5*q**2 + 2*q**3 as v*q**2 + d + h*q**4 + j*q + u*q**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -42. Suppose k = 2*z - 9 - 173. What is the third derivative of z*c - 8*c**2 - 17*c**3 - 91*c wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:38 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((27 - 50) + 25)*1\/16*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from vnmmvnvnv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 - 2*k + 1. Suppose -5*l - h = -4*h - 108, -5*l = 3*h - 132. Calculate the remainder when l is divided by w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 99 = 3*i. What is the remainder when 109 is divided by (0 - 28\/(-3))\/(i\/(-33))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125626 + -4?\nAnswer: -125632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)**10)**39 assuming n is positive.\nAnswer: n**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c - 11. Let q(x) = 5*x**3 - x**2 + x + 1. Let l be q(-1). Let b(p) = -4*p + 3. Let m be (-75)\/3 + 2 - -1. Calculate l*v(o) + m*b(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.397413 - 41?\nAnswer: -40.602587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + l + 4 = -3, -8 = -j + 5*l. Solve 2*q - 2 = 10*v - 6*v, -j*v = q - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z)**(-5))**43 assuming z is positive.\nAnswer: z**(-430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8194946 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 406?\nAnswer: 406.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 23*l - 146. Calculate the smallest common multiple of 78 and b(12).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48 + 58)*(1 + 0). Solve -k*g - 6 = -8*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r - 1817 + 341 = -97*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -876880025*h**5 + 20346*h**2 + 9820.\nAnswer: -52612801500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {x: 1, w: 2, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from cucuddruucrc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2646 and -29\/378?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*d + 10. Suppose -2*u - 4 = -2*l, u - 4*l + 0*l + d = 0. Let m = 4 - -16. Solve -4*o + u*n - 6*n - 20 = 0, -5*n + m = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59*(-96)\/(-8496))\/(((-1)\/(-4))\/((-438)\/16)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987613?\nAnswer: 151, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 16*b. Let x(k) be the first derivative of k**4\/12 + 11*k**2 + 3. Let u(l) be the second derivative of x(l). Determine u(q(z)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129592)\/2184 + 58 + 36\/28?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32869042\/86925 - -118\/4575. Let h = 378 + v. Which is the nearest to -0.1? (a) -1\/9 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 9 - 3*d**3 - 15 - 3*d**4 + 5*d - 2*d + 9*d**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.07 - 0.77. Let p = 5\/6 - -11\/6. Which is the third biggest value? (a) 0 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**3 - 4*x**2 + 4*x. Let c(z) = 4*z**3 - 5*z**2 + 5*z. Suppose 5*g - p - 20 = 2, -5*g + 2*p + 24 = 0. Calculate g*c(t) - 5*f(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9814 divided by 2?\nAnswer: -4907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:56 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjbjjjbj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-759 + 1)\/(-2))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364849?\nAnswer: 23, 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 5580*p + 1556820.\nAnswer: 5*(p - 558)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1551.6 + 1417. Let c = k - -176. Let w = -42 + c. Which is bigger: w or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886900771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v**3 - 2*v**2 - v. Let n(r) = 27*r**3 + 6*r**2 + 5*r - 2110. Determine -n(p) - 3*x(p).\nAnswer: -3*p**3 - 2*p + 2110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607124133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -28. Suppose -2*i + 9 = i. Let h be (i\/(-6))\/(-1)*0. Solve v = -4*m, 3*m + h*m = 4*k + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + -24 + (2 - 1). Let i be 26\/(-39) + w\/(-6). Solve 0 = i*t + 11 + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20587190 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: Let n(h) = 4*h**2 + 106*h - 117*h + 0*h**2 - 6*h**2 - 6. Give n(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283704953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c = -43*c - y + 3, 2*y - 3 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180 or -53122?\nAnswer: -53122","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 4*u - u + (-2 - 1 + 1)*(1007*u + 4 - 1008*u - 16).\nAnswer: 4*u + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -48*r + 395. Is b(8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 4*p**2 - p + 3. Let z = 67 - 54. Let s = z + -16. Calculate c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:29 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008629 - 84070?\nAnswer: -84069.991371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 456 - 6450. What is the greatest common factor of g and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/6 + 0. What is the closest to 0 in 0.5, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 23 = -40. Let n = 3 + -3.1. Let s = 5.18 - 0.18. Which is the nearest to n? (a) i (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12778621, 25557243, 38335865, 51114487, 63893109?\nAnswer: 76671731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346 and 2?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1489 + -18. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/(-14) + 2\/(-4). Suppose -55*m = -116*m. Suppose -k*z + 65 - 56 = m. Solve u = -3*j - 17, -z*u + 19 = 2*j - 7*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x - 2. Let s(l) = l**3 - 41*l**2 - 44*l + 86. Let c = 243 + -201. Let m be s(c). Give r(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5314171 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 35*d**2 - 33*d + 39. Let h be k(-34). Sort -2\/5, -2, h.\nAnswer: -2, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4 + 346*x**3 + 8892*x**2 + 24224*x + 15680 = 0. What is x?\nAnswer: -20, -2, -1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.433754um in kilometers?\nAnswer: 0.000000009433754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48952 + 49034. Suppose 2*r - 31 = 51. What is the greatest common factor of f and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2341 - -0.2441. Sort -1.46, 0.1, v in descending order.\nAnswer: 0.1, v, -1.46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {m: 4, o: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 609 = 2944. Let a = r + 354. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 10*p**2 + 6*p. Let a(s) be the second derivative of -s**5\/10 + 5*s**4\/3 - 13*s**3\/6 - 30*s + 3. Give -6*a(r) - 13*g(r).\nAnswer: -r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*m - 88, -74 = 4*m + z + z. Let v = 44 + m. Let f(b) = 721*b + 3609. Calculate the lowest common multiple of f(-5) and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 42986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Suppose 75 = 14*g - 9*g. Let n = h + g. What is the smallest common multiple of n and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1802, -7369, -16718, -29843, -46738?\n\"Answer: l**3 - 1897*l**2 + 117*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 - 6. Let l = -6 - -5.6. Let g = y + l. Which is bigger: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 12*n + 4. Does 2 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 1\/2, -1.3, 10, 0.2 in decreasing order.\nAnswer: 10, 1\/2, 0.2, -4\/9, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637456 divided by 48?\nAnswer: 54947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose 0 = 5*z - 5*x - 1675, -333 = 3*z - 4*z + 3*x. Suppose -i*l = 120 - z. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 - 105. Let n = 5 + -1. Which is the third biggest value? (a) i (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264437498.\nAnswer: 2, 409, 2768261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*2*0. Let g(h) = h**3 + 7*h**2 - 5*h - 27. Let w be g(-7). List the prime factors of w*(s + 2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13240.1743 to 0 dps.\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z. Suppose -69 = 5*w + 1. Let d(c) = -49*c. Let o(x) = w*v(x) + 3*d(x). Determine o(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 37. Let q be s(14). What is the highest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:39 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4302104?\nAnswer: 2, 23, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 + 415. Let g = 116 - t. Which is greater: g or -3\/148?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 - 3*i**2 - 3*i + 1. Suppose -4*k + 2*g = -8, -2*g - 9 = -5*k + 3. Let c be h(k). Let u = c - 46. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -4*f + 103. What is the tens digit of 234\/f*(-350)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429474 is divided by 119121?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12)\/((-37)\/444). Let w = -6 + 8. Solve 2*g - 2*r - 2 = 0, 3*r = l*g - w*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -2\/5, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/71 + -1415\/15904. Let o = 461\/2912 + u. Let a = 0 - 0. Are a and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 322*y**2 + 1528*y**2 - 100*y**2. Let c(a) = a**2. Calculate c(u(o)).\nAnswer: 3062500*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - 0.32. Let o = 0.33 - 0.03. What is the nearest to u in 1\/6, 1\/5, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/4316)\/(((-1340)\/80)\/(-67))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8904\/11 - -811. Calculate the common denominator of -24\/11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27042*r - 15180?\nAnswer: 27042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-30))\/((-527)\/(-558)*-3)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172.47 and -2334.65478.\nAnswer: -2507.12478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 13*m + 304. Let i = m - -147. Let q be 5*((-12)\/5)\/2. Which is the nearest to 0? (a) 4 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168629 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 1963?\nAnswer: 1963.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 942643538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 461419467 to the power of 1\/3, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 7*f. Suppose 3*g + 18 = 3*w - 0*w, -3*w = -g - 8. Let v be (64\/(-40))\/((-2)\/g). Let l(t) = -t**2 + 4*t. Give v*c(h) + 7*l(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, w: 13}. Give prob of sequence hw.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f + 6 - 4*f + 9*f + 9*f. Suppose -4*j + 10 = h + h, 3*h = j + 15. Let c be v(h). Solve 3 = r + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1948 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10070 and 37259.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.097 and 1?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*-4 + -2 + (-2*sqrt(171)*1)\/sqrt(9).\nAnswer: -10*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from osossoss?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 2*i**7\/105 - 3*i**6\/10 + 28*i**5\/15 - 6*i**4 + 32*i**3\/3 + 91*i**2 - 3*i. Factor x(q).\nAnswer: 4*(q - 4)*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -1. Let g = q - 0.2. Which is the second smallest value? (a) g (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -19 - 21. Suppose -3*p = -k - 5. Put p, -5, -2 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7*((-770)\/(-429))\/(-5)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4 - 388*f**3\/3 - 4182*f**2 + 52020*f - 1875. Factor i(z).\nAnswer: -4*(z - 5)*(z + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -24*g**4 - 107649*g**3 - 117600186*g**2 + 7035396759*g + 30016306620 = 0.\nAnswer: -2271, -4, 485\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 3*n, 0*i = 3*n - 5*i - 20. Suppose -3*d + 24 + 72 = n. Suppose -d = -3*p + 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1081 - -1081. Let w be (-4)\/7*1\/6. What is the third smallest value in 7, o, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10802.73989 to 1 dp.\nAnswer: 10802.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z + 98. Let t be u(-6). Let d = 669 + -669.4. What is the fourth smallest value in -1\/4, 4, t, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-2 + -3 - (-1 + sqrt(684))*1)**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*3 - 0)\/((-36)\/504). Suppose -15*m - t = -17*m. Calculate the remainder when 40 - 1\/3*6 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13211\/5 + -2642. Put t, 0.1, 0.3, 1\/11 in descending order.\nAnswer: 0.3, t, 0.1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, m: 1, k: 2, i: 2}. Give prob of picking 1 m and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 4, r: 5, n: 2, q: 1}. Give prob of picking 1 m, 2 n, and 1 q.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 805703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = 3. Solve 2*a - 15 = -b*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t**2 + 14*t + t + 0 + 2*t - 3. Let w(q) = -1. Let d(o) = -5*o**2 + 6*o + 3. Let r(f) = -d(f) - 4*w(f). What is -6*c(k) - 17*r(k)?\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/120 - s**5\/20 - s**4\/12 - 2*s**3\/3 + 2*s**2. Let g be b(4). Suppose -227 + 87 = -g*t. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f + 271. Let i(l) = -19*l - 542. Calculate -7*h(x) - 4*i(x).\nAnswer: -x + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -20*b. Let z(n) = -2*n - 13. Let l(k) = k + 6. Let q(i) = 13*l(i) + 6*z(i). Let s(o) = d(o) + 10*q(o). Let f(p) = 2*p. Give f(s(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 6*r + 5. Is v(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.196565 rounded to one decimal place?\nAnswer: -44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 > 1502\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m + 7. Let p be h(-6). Is -10 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 39907870001 + 182277774493. Let z = m + -320189712269365\/15852. Let j = -8\/1321 + z. Find the common denominator of 19\/3 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 365988*g**4 - g**2 + 16144108 wrt g?\nAnswer: 1463952*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2 + sqrt(98)*-2)*4 - (sqrt(98) + sqrt(98)*-2 + -3 + 0)) + 4 + -1)**2 + 0)*-1.\nAnswer: -4998 + 1372*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 32 = -0. Let o(k) = k + 64. Let j be o(0). Suppose 5*i = -0*m - 3*m + j, -62 = -g*m + 5*i. Calculate the remainder when 33 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from kkkkkmkckcckmckmdkkk.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1 - 6*h - 1. Let n(m) = -11*m. Let a(s) = -4*n(s) + 7*q(s). Let t(y) = -5*y + 9*y - 10*y - 2*y**2 + 6*y. Calculate t(a(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -34*s**2 - 32*s**2 + 64*s**2. Let x(v) = 11*v**2. Calculate o(x(p)).\nAnswer: -242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.21828237.\nAnswer: 0.08171763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 5. Let u be n(-5). Let c(m) = 115 - 93 - 8*m + 245 - m. Let j be c(23). Calculate the greatest common factor of u and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let i(c) be the second derivative of 0*c**2 + 5\/3*c**3 + 0 - 13*c. Calculate i(g(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15) - (-104)\/(-40). Let r be (l\/(-5))\/(-1)*470\/(-4). Is r bigger than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 0.68?\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a - 28. Let g(m) = m**2 + 5*m - 10. Let i be g(a). Let k be 0\/1 + (i - 2). Calculate the highest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1695181631 - 1695181595.60504661. Let t = 0.39485539 - l. Let b = t + 35. Round b to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83\/1 + 0\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 1724, 2587, 3450, 4313, 5176?\nAnswer: 6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 11*l**2\/2 - 4*l + 34. Let a(m) = -2*m**2. Determine a(u(n)).\nAnswer: -242*n**2 + 176*n - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121211 + -11210?\nAnswer: 101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 92*j**2 - 62*j - 17. Let u(l) = -31*l**2 + 21*l + 6. Let g(b) = 17*u(b) + 6*v(b). Factor g(y).\nAnswer: 5*y*(5*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4396 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*d**3 - d**4 + 2*d**3 + 4*d**4 + 0 + 0 + (-3*d**2 + 3*d**2 - 2*d**3)*(-d + d + d).\nAnswer: d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/37963146 and 37\/21.\nAnswer: 265742022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + b**3\/2 + b**2 + 25*b. Give g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w - 82. Does 13 divide c(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i - 3. Let z(r) = 966*r + 252. Let x(w) = 84*b(w) + z(w). Let h(a) = 5*a**2. Give x(h(y)).\nAnswer: -210*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435547953 is divided by 3434.\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + -2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 230, 0.5, 16 in decreasing order.\nAnswer: 230, 16, 0.5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -48?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + 146\/2 + 4 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 27 = 3*g. Let d = 73 + g. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/6*(-8)\/(-24)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 37. Let x = w + -261\/7. What is the common denominator of 8\/(-16)*-2*(0 + 43) and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) -175 (c) 0.5 (d) -3 (e) 2 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 81*q - 824. Give o(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u**2 + 5. Let y(i) be the first derivative of i**5\/10 + i**3\/3 - 13*i**2\/2 + 4. Let q(o) be the second derivative of y(o). Give -3*c(l) + 7*q(l).\nAnswer: 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -229, -200, -133, -16, 163, 416, 755?\n\"Answer: 2*g**3 + 7*g**2 - 6*g - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19937 - 12767. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g + 4*i + 6, 5*i + 33 = 2*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 + 131.911. Let m = u + 0.0890063. Round m to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 9 + 3*n**2 - 3*n**4 - 4*n**3 - 2*n**2 + 2*n + 2*n**4 to the form w*n**2 + k*n + a*n**4 + s + d*n**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 2441. What is t rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*a**2 - a**3 - 6*a**2 + 4*a**2 + 5*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 2*u + 9. Let c be i(6). Let j be -7 + c*(-3)\/9. Let t be 16\/12*j\/(-4). Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 174?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1188 and -1.73?\nAnswer: 2055.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2530 - 464 + 1032 = 83*i + 1109 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 104*j + 5397. Determine d(-52).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 + 4*o**5 + 2*o**5 + (o**3 + 0 + 0)*(o**2 - o**2 + 2*o**2) - 97*o**4 + 202*o**4 + 21*o**5 - 104*o**4 - o**5 + 0*o**4 + 0*o**4.\nAnswer: 24*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 48*h**2 + 42*h + 175. Let w be (-14 - -4)*3*2\/12. List the prime factors of p(w).\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101 and 18887?\nAnswer: 18887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 1308 + 0*h**2 + 1159 + 0*h - 2*h**2 in the form i*h**2 + g + p*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*d = -125, -x - 5*x - 3*d + 95 = -10*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -12 - 1) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)\/(3 + (-56)\/19). Let p = -24 - m. Let f(o) = o**2 + 3*o + 5. Give f(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 156 in decreasing order.\nAnswer: 156, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6380026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(4 - (949\/(-18))\/(-13))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34307573309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -6. Let o = -6 + 9. Suppose -135 = -4*x + 5*r + 14, 3*r = -o*x + 105. Calculate the remainder when x is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16*(689\/(-52) + 13). Solve -4*u = -4*l - c, 0 = 6*u - 8*u - 4*l + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (14 - 0) - -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d. Find l such that 3 + 3 + d - 3 + 3*l**2 - 6*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-63)\/45*-4. Suppose o = 18*d - 310. What is the remainder when 26 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/369 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 + 10*l - 2. Let h be r(-7). Let v be 4\/(-24) - h\/(-12). Solve -v*o = -o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000475 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -17*u**4\/12 - u**2\/2 + 5020*u + 2. Let a(z) = -157*z**2. What is a(w(o))?\nAnswer: -45373*o**4 - 5338*o**2 - 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88995839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 11 - 1, -5*t + 90 = 4*r. Solve k = 6*k + r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 3*f**2 + f + 6. Let v be r(4). Let z = v - 32. What are the prime factors of z?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -4132.8635?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 10*b = -4. Suppose -4*n = -16, b*h + h = 5*n - 15. Solve 7 = -4*a - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/7 - 88*l**4 + 6416*l**3\/7 - 23400*l**2\/7 + 35316*l\/7 - 17712\/7 = 0. What is l?\nAnswer: -164, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 4\/3*g**3 + 0*g**2 + 3*g - 7. Let k(w) = -w**2 - 1. Give 3*k(o) + v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223.4 - 225. Which is the smallest value? (a) -5 (b) s (c) 2\/11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)*(-1)\/(-2). Let c(y) = 6*y**3 - 7*y**2 + 4*y + 9. Let z be c(4). Let d = 296 - z. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03622*-133.4.\nAnswer: 4.831748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.24 take away -7017?\nAnswer: 7023.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o + 22 + 7*o - 24)*(0 - 19 + 2)*(-6*o + 2*o**2 + 4*o + 6*o) as l*o + g*o**2 + c + a*o**3 and give l.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3710 + 3706. Sort 526, y, 5, 3.\nAnswer: y, 3, 5, 526","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 202?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*q**2 - q + q + q**2 - q**2 + 3 - 3 + (-2*q + 3 - 3)*(q - 3*q + 3*q) + (0*q - 9*q + 2*q)*(-2*q - 2*q + 3*q) - 94*q**2 + 231*q - 231*q.\nAnswer: -91*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4713319 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 0, 0 = -o + 4*k - 0*k + 7. Suppose 4*w - 1940 = 4*u + 1112, 3*w + o*u = 2289. What is the first derivative of 5*g + 771 + g + g - w wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 12:48 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81201139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 20210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2172975 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*c - 105 = 0, 22*z + 5*c = 19*z + 161. What is the greatest common divisor of z and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -2. Solve 0 = a + 3 + l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*l**2 - 400*l**2 + 4*l + 199*l**2.\nAnswer: -5*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a66 (base 12) in base 8?\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4 + 19. Let s be ((-105)\/3)\/t - 1. Solve 2*a - 13 + s = -o, -3*a - 3*o = -9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 32*o + 300. Calculate k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3959 = -2*v, -v + 2002 = c + 4*c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + 6*t + 5. Let c be p(5). Let s = -6 + c. Suppose -5*z = -44 + s. Calculate the least common multiple of 10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 10:29 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129902 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 3, -2459 in descending order.\nAnswer: 74, 3, -2459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*u + 108. Suppose f - 4*b = -3*b + 17, 0 = -f - 5*b + u. What is the units digit of (-1)\/(-3) - (-77)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 3.419.\nAnswer: -13.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 - 9121688*v**3 + 5200370106288*v**2 - 52002934843808*v + 83204462235904 = 0.\nAnswer: 2, 8, 1140206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617922 to the power of 1\/2, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h + 3. Let d be v(5). Let n be d + 4 - (4 - -4). Let b(s) = -s + 7. Is 5 a factor of b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 4*z**2 + 5*z - 3. Give i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 350015*z - 247 = -350010*z, 6*d + 180 = -4*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9417 is divided by 4092.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.56106 - -0.00894. Are -0.6 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g + 22*g - 23268 = -167*g for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 4\/3 (c) 12 (d) -2 (e) 7 (f) 2 (g) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfllkklkfvlk. Give prob of sequence kv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-3\/7)*r)*r\/((r**0*r*r)\/r))**(1\/14)\/((r\/(r\/((r*r\/(r\/r**(-3))*r)\/r)))\/(r*r**(5\/4))*r*(r**(1\/4)*r)\/r*r**(2\/9)) assuming r is positive.\nAnswer: r**(2477\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17253 - -34509\/2. Factor 0 + 9\/2*r**3 + g*r**4 + 9\/2*r**2 + 3\/2*r.\nAnswer: 3*r*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + -1.8. Sort 1, 0.5, u in decreasing order.\nAnswer: 1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*(-9288)\/774?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 - (0 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 28*n**2 + 28*n - 21. Let d be v(-14). Suppose -5075 + d + 4*z**2 - 60*z = 0. What is z?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66113 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)\/(y*y**(2\/13)))**(7\/2)\/((y\/y**8)\/y**10)**(-19) assuming y is positive.\nAnswer: y**(-68115\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2 = -4*t + 27, 9*t + 248 - 332 = 3*l for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 34*f - 9. Calculate a(-6).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**2 - 8*x - 18. Calculate n(-4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 305038*i - 610084.\nAnswer: 2*(i - 152521)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + s**2 - s**2 + (-2 - 2 + 2)*(2*s**2 + 5*s - 5*s) + (1 - 1 - s)*(15*s - 32*s - 25*s).\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Suppose -160 = k*q + 3*w, -4*w + w = 15. What is the units digit of (6 - 3)*q\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) 1\/4 (c) 99.3 (d) 0.11 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 13919 - 13269. Calculate the greatest common divisor of c and 1530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1955*j**2 - 7*j - 3302 wrt j.\nAnswer: 3910*j - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -21 + (-20 - -3) + 11 - 22.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb + -5?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q. Let y(i) = -i - 1. Let m be y(-3). Let c(l) = 5*l - l - l - m*l. Give c(z(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 2*o + 308 = 0. 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: List the prime factors of 219047574.\nAnswer: 2, 3, 36507929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -7, 6, -2, 2638, 16.\nAnswer: -7, -2, 3, 4, 6, 16, 2638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 115 (b) -4\/7 (c) 0.12 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/((-85)\/306)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741126862?\nAnswer: 2, 331, 739, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/3348)\/(43\/129 - 2\/(-3))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5 - 587440*c**4 - 86269088613*c**3 + 690177969018*c**2 - 1811738977632*c + 1552928187168 = 0.\nAnswer: -293724, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3 - o - o)*(0*o + 12*o + 2*o).\nAnswer: -56*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16963777 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*(2\/30)\/((-66)\/(-55)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + y + 9*y - y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 903*g**3 + 5*g**2 + g. Let q(x) = -452*x**3 - 2*x**2. Give 2*c(h) + 5*q(h).\nAnswer: -454*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 58 = 2*c, -100 = 5*n - 10*n - 4*c. Let h = n - 27. Let m = h - -10. Put 5, m, 0 in descending order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5445 - -5447. What is the greatest common divisor of 14 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a368 (base 13) in base 4?\nAnswer: -122123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35441757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 + 3*r**2)*(r - 5*r**2 - r).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/6)\/(1\/(-3)). Let m = -4 - x. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -10.007?\nAnswer: -9.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**4 + b**2 - b - 1. Let q(w) = -4*w**4 - 68*w**3 - 132*w**2 - 62*w + 2. Let g(m) = -4*i(m) - 2*q(m). Determine n, given that g(n) = 0.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808 and 72?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 30, 51, 70, 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/150 and 101\/1995.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2. Let n(u) = 2 + 1047*u**2 + 1121*u**2 - 2157*u**2. Calculate n(y(m)).\nAnswer: 704*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1994877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36214288*c**2 + 36214281*c**2 + c - c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuukkuuuuuuuuuuuu.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5\/4*w**4 + 0 + 0*w + 0*w**2 + w**3 + 1\/4*w**5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 696, 0, -6 in decreasing order.\nAnswer: 696, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 0*y - 3*y - 25.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*z**2 + j**2*z - j**2 - 9791*j*z**2 - 2*j*z - 911*j - 63*z**2 - z + 611 wrt z.\nAnswer: -4*j**2 - 19582*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Let d be z(-4). Suppose -2*w = -y - 13, 17 + 20 = 3*w + 2*y. Suppose 5*m - 19 = -4*t, w + 12 = 4*t + d*m. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1820*k**2 + 28*k + 7. Is j(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/(11\/(-33))*5520\/5152?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -3, 0 = h - k + 6. Let y = h + 4. Let c = y - 1. Solve -c*m + 10 = -2*r - m, -r = 5*m + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 2 = 28*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 - 2*l + 3. Let q be w(4). Suppose -2*m + m - q = 0. Let p = m + 20. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2265 divide 66679335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 419*f\/5 + 8070.\nAnswer: (f - 269)*(f - 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + (2*sqrt(2448)*-1)**2 - sqrt(2448)) + 5.\nAnswer: 9797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 30. Let r = 0.07 + 0.53. Let a = -0.8 + r. What is the second biggest value in a, h, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 640*v\/3 + 424.\nAnswer: 2*(v + 2)*(v + 318)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**2 - 4*p + 5*p + 5230 - 25*p**2 - 3*p + 34*p**2 as n*p**2 + q*p + b and give b.\nAnswer: 5230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60 - 62)*(2 + (-4)\/3). Put k, 4, -2, 30 in descending order.\nAnswer: 30, 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, 5\/6, -0.4, -203306 in decreasing order.\nAnswer: 5\/6, 1\/4, 0, -0.4, -203306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 211, -0.03, 3, 189, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -24092*c. Let d(b) = -b**2. Give d(x(p)).\nAnswer: -580424464*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 11000?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7334, -14370, -21406, -28442?\n\"Answer: -7036*j - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*f + 400 = -364*f. Let i = -11 - -15. Suppose f = q + i*q - k, 3*k + 7 = -2*q. Solve -q*d - 10 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5 - 24\/5*u**2 - 1\/5*u**4 + 2*u - 2*u**3 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-70))\/(128\/1152*27\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - g + 44, 0 + 8 = -q - 5*g. Suppose -q*p + 1475 = -11*p + 2*f, 2*f + 2980 = 2*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 4*q - 157. Let d = q + -88. Suppose 0 = -5*o + 4*v + 71 + 127, 0 = d*v - 9. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.324 and 91.82.\nAnswer: 70.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 - -346. Suppose u = -2*z + 45, -4*u - 5*z = -82 - y. Find the second derivative of 51 + 14*r + 11*r**2 - u wrt r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15120 divided by -315\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14082 + 278?\nAnswer: 1434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42.27 * -0.07\nAnswer: -2.9589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3586271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ett when three letters picked without replacement from eett.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 501 - 487. Let p(w) = w**2 - 8*w + 19. Determine p(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867664194.\nAnswer: 2, 3, 179, 499, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2359 and 6.\nAnswer: -2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 15, 0*k + 5*m = k + 61. Let w = -31 - k. What are the prime factors of w?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -19. Let t be (z\/28)\/(5\/(-4)). Sort 5, t, 3.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0 - 1\/2*o**3 + 211*o - 5\/2*o**2. Give v(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -51 + 60. Suppose 0 = 4*i + w*c - 10 - 3, -4*i - 5*c + 3 = 0. Let v = -7 - -14. What is the highest common factor of v and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24.06373 and 174?\nAnswer: 149.93627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**25\/(a*a\/(a\/a**6)*a*a)*(a*a\/(a\/a**(1\/6)))**(-5) assuming a is positive.\nAnswer: a**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-65))\/((-6)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - (-3 - (2 + -3)). Let v be (-10)\/8 + (-1)\/(-4). Does 9 divide (-1)\/v*d + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 229*k**2 - 8209*k + 130. Calculate u(45).\nAnswer: 3325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921352 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6084\/360 + 2\/20. Suppose 0 = -j*w + 11*w + 792. Calculate the greatest common factor of 99 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18050 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(20) + -5)**2.\nAnswer: -20*sqrt(5) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, n: 3, l: 1, r: 3}. Give prob of sequence rn.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.471 + -0.3792. Let q = i + -0.114. What is q rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5676\/(-903))\/((-360)\/126).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgaalmgagma. Give prob of picking 1 m and 1 a.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(101*m + 1 + 60*m - 45*m).\nAnswer: -928*m - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6573998.\nAnswer: 2, 23, 241, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199 = -224*c + 333*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5681 - -5691. Suppose 0 = d - 3*k - 234, -2 = -4*k - 10. Calculate the lowest common multiple of j and d.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -682, -949, -362, 1505, 5078, 10783, 19046?\n\"Answer: 71*c**3 + c**2 - 767*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4503765 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d. Let t(o) = -51566*o**2. Calculate t(h(c)).\nAnswer: -1856376*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 10. Give q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r - 16. Let y be 3\/(-12) + 10\/r. Suppose -3*f + 16 = 7. Solve f*k = 2*k - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 640?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.276 - -0.13. Let x = -20810164.14599847 - -20810164. Let n = x - z. Round n to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + 3*o, 0 = -5*r + 3*o + 2 + 6. Solve 16 = 4*s - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(5) + (sqrt(500)*3)**2 + -1 + sqrt(20)\/sqrt(4)).\nAnswer: 36*sqrt(5) + 80982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-17 - -4) + (2 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 59*r + 1 + 23*r + 3 - 2*r - 3 - 3*r + 4*r + 0*r - r - r + 0*r + (-r - 3 + 3)*(1 + 4 - 3) + 3*r + 2*r - 3*r + r + r - r.\nAnswer: 76*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1019265 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 99 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.2 - 1.2. Let i = j - 6. Let h be 4\/6 - (-2)\/(-12). Which is the nearest to i? (a) 0.4 (b) 1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1952 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29\/2 of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2*b + 3. What is x(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322 + 102?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25323 - 25376. Sort -1, 4, 2, k.\nAnswer: k, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 9, 0, 2, 374, -1\/268?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69162 is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 9*r - 8. Let b be l(10). Let s(f) = -f - 2 + 6 + 8 - b. What is s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/168 and 43\/189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(242)*3 - (sqrt(242) + sqrt(242) + 3*sqrt(242)*4)) + ((sqrt(242) + (-1 + sqrt(242))**2 + sqrt(242))*1 - (-5 + sqrt(242)*3)**2).\nAnswer: -1960 + 308*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -98, -0.208, -2\/7, 2\/5 in ascending order.\nAnswer: -98, -2, -2\/7, -0.208, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8333, -17219, -26661, -36659, -47213, -58323, -69989?\nAnswer: -82211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4*r + 2*p**3*r*s**2 + 5*p**3*r*s - p**2*s**2 - p*r*s**2 - 2*r*s**2 + 4 wrt p?\nAnswer: 48*p*r + 12*r*s**2 + 30*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -543 - -1742?\nAnswer: 11dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*s - 2*j, -4*s - 2987 = -2*j - 2975 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from naxaaaeexaae?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(8\/16). Let w be (-8)\/(-28) - 54\/(-7). Let g(j) = -j**2 + 7*j + 4. Let n be g(w). Sort r, n, -3 in descending order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7563 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 - 8*b - 10*b + 2*b.\nAnswer: 14*b**3 - 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6477\/14 + 462. What is the common denominator of x and (-25)\/100 + 37\/44?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -512, -618, -726, -836, -948, -1062?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, 617, 2514, 5171, 8588?\nAnswer: 12765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 61*k = 195*k + 745 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 17 (c) 7 (d) -0.72 (e) 6 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 1784*k**2 + 39380*k - 978600.\nAnswer: -4*(k - 466)*(k - 15)*(k + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-1) - (-4 - 99).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -12, -0.3, 2\/7, 0.3054, 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52044*m + 92038 with respect to m.\nAnswer: -52044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r**2\/4 + 97*r\/4 + 51\/2 = 0. Calculate r.\nAnswer: -3, -34\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57739421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*u - 16, -u + 2*s = 2*u - 8. Suppose -2*k + 4*g + 3 - 5 = u, 4*g = 4*k - 8. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10738214 to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2 + 37*x + 36 = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81*-1.1023\nAnswer: -89.2863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 212 = 0. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-3 + 3 + 0 - (67 + -67)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257911 and 1478.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - z + 2 = -5*z, 0 = -3*p - 2*z - 6. Let r be 10*9\/((-45)\/p). What is the second derivative of 5*l**r + 2*l**4 - 5*l - 15*l wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*j**2 - 190*j**2 + 236*j**2 in the form h + d*j**2 + n*j and give d.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -180\nAnswer: -7\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431373 is divided by 618.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**4\/4 + 297*u**3\/4 + 615*u**2\/4 - 909*u\/4 = 0.\nAnswer: -3, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5451102?\nAnswer: 2, 3, 31, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6167161 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 72. Differentiate 11*q**2 - 12 + a - 10 with respect to q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 2\/7, -1, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -7, -2\/5, -147?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649775\/188 - (-2)\/(-8) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 1. Let t = 144 - 146. Determine p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-7*4\/(-14)). Let n(m) = 14*m**3 - 20*m**2 + 20*m - 14. Let h(i) = 5*i**3 - 7*i**2 + 7*i - 5. Let c(u) = 17*h(u) - 6*n(u). Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108589433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46681*q**2 + 21443*q**2 - 17959*q**2 + 2*q**3.\nAnswer: 2*q**3 + 50165*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**3 + 3*u**2 - 7*u - 5. Let d(t) = 9*t**3 + 4*t**2 - 8*t - 6. Determine -3*d(o) + 4*v(o).\nAnswer: 5*o**3 - 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 5628.\nAnswer: -11\/5628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*1*4)\/((sqrt(250)*-5 - sqrt(10))*6).\nAnswer: sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -25*y**2 - 3*y + 6822. Let j(t) = -250*t - 16. What is -3*j(o) + 16*p(o)?\nAnswer: -50*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -75 - (45 + (-74 - -24))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6)*(2*u + 4*u - 4*u) + (-8 - 6*u + 8)*(-5 + 4 + 5)*(-1 + 4 - 2 + 2 - 1 + 0 - 3 + 0 + 2 - 2 + 3 + 0 + (-1 - 1 + 1)*(0 + 1 - 2) - 3 + 4 + 1).\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, v: 3}. Give prob of sequence rvrv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11 + 14)*48\/56)\/(6\/42). Solve g*f + 22*f = -280 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -216, 7, 0.09?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -18*f. Let r be 2\/(-6) - (-1 + f). Which is the closest to -0.1? (a) 0.5 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307 + -308. Let w be 11 + (-984)\/136 - (-2)\/(-1). What is the nearest to -0.1 in v, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.97 and -0.5.\nAnswer: -4.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v + 4*v + (-2 + 2 + 2)*(-1 + v + 1))*(-4*v + 3*v - 9*v) in the form f*v + u*v**2 + z and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 4. Let t(v) = 10*v + 10. Suppose u - 6 = -1. Calculate u*t(d) + 12*x(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let s be p(4). Suppose -s*d - d + 30 = 0. Suppose 3*b - 107 = -4*u + d*b, -5*b + 90 = 5*u. What is the remainder when 68 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-5 + 5 + 4*p)*(2*p + 28*p**2 + 401 - 401) to the form o*p**3 + s*p**2 + k + a*p and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:02 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67006 - 10?\nAnswer: -67016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007668 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 54. Suppose -r = 4*c - 29, -3*c + 3*r + l = c. Suppose -2*b + 2*y + 10 = 0, 6*b - 5 = b - 5*y. What is the least common multiple of b and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404.9411 - -404.3. Round v to 2 dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5508816 and 13803.\nAnswer: 589443312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + 1 - 1)*(p + 5 - 5) + 0*p**2 + 3*p**2 + 0*p**2)*(-22 + 10*p - 27*p + 23*p).\nAnswer: -6*p**3 + 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193 is divided by 1066?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3*t + 22. Let y be q(6). Find the first derivative of -4*f**3 - 87*f**4 + 1 + 4*f**3 + 83*f**y wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 142112201113?\nAnswer: 142112201113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -11. Suppose -n*b - 2*l - 54 = -6*l, 5*b - l + 73 = 0. Let u = b + 87. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6, 8, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((-36)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8300 and 6.783?\nAnswer: 8293.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*u**2\/3 + 974*u\/3 + 8 = 0. Calculate u.\nAnswer: -4, -3\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6991 - 6963. What is the remainder when 279 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7426, 31324, 71154, 126916, 198610?\nAnswer: 286236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -167 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-7)*q**(-5\/6)\/((q*q**(7\/4)*q)\/q*q))\/((q**(2\/13)\/(q**(3\/4)\/q))\/(q**(2\/9)*q*q**(-1\/10))) assuming q is positive.\nAnswer: q**(-427\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0864233 minutes to microseconds.\nAnswer: 5185398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 7. Let o be i(7). Suppose c + 5 = -o. Let w = c + 17. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7 = -q - 24, -5*r - 3*q + 53 = -0*q + 34 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 152 = 5*g - 798, -2*i - g + 379 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1974866\/281 + -7028. Is 0 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(2\/(-2) - -3). Suppose -o = -u - 1. Suppose o*x + 0*k - 156 = 4*k, -5*x = -k - 277. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*p**2 - 7 + 7 + (2*p - 3 + 3)*(-p + 3*p - 4*p).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6942 - -6967. Let r = -61 + 86. Calculate the highest common divisor of h and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 27996 = 4*x + 28012, 3*x + 5*n = 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-6)\/(-1)))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let d(x) = -10*x + 6*x + 3*x + 11*x + 1 + 0*x. Calculate d(n(q)).\nAnswer: -20*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 11*n**4\/12 + 2*n**3 + n**2\/2 + n + 390. Determine f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + -18. Let g be 7*((-3)\/4)\/(231\/m). Solve 0*a - 6 = -g*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from vvgvovvovvogooo.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/17 - 7188*l\/17 - 7186\/17 = 0.\nAnswer: -3593, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.44118 millimeters to meters.\nAnswer: 0.01344118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 186 = 26*s - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**4 + x**2 - 2*x. Let i(b) = 4592*b**4 + 12*b**2 + 223*b. Let w(s) = -14*g(s) + i(s). What is the second derivative of w(d) wrt d?\nAnswer: 55272*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -18, -5 in increasing order.\nAnswer: -140, -18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnnnfnnytnynyyz. What is prob of sequence znn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50 - (-15469)\/310)\/((-4)\/10 + 0). Find a, given that -n*a**3 + a + 0 + 0*a**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + 1. Let h = -0.25 - 0.25. What is the biggest value in h, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 11}. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/24904 and -15\/3113?\nAnswer: 24904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 51 = -3*g, -57*g + 5*r - 7454 = -7004 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2)*-6 - sqrt(896))\/(-6*sqrt(8)*1))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012416431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231 + -206 - (19 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 6*-4*sqrt(88))\/(-3*-3*sqrt(8)).\nAnswer: 25*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + 562. Let f = 1103 - o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -3*f, 2*f + 17 = 3*m - 0*m. Suppose h = -7 - m. Let n be (-2)\/21*h\/8. Which is the third biggest value? (a) n (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 581 - 558.56. Let q = t - 23. Let d = q + 4.96. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:04 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 163*u**3 + 6*u**2 - 5*u - 15. Let m(j) = 325*j**3 + 11*j**2 - 8*j - 25. What is -3*m(g) + 5*y(g)?\nAnswer: -160*g**3 - 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670075 and 980.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303 divided by 416?\nAnswer: -3303\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*q**2 - 778*q + 257*q + 261*q + 2 + 260*q as g + s*q + w*q**2 and give w.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.017*-0.7\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1199169 + -1199167.9999952. Let d = n - 1. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 0*p**2 + 0*p**2. Let z(x) = 56*x - 14. Let c(u) = -18*u + 4. Let f(a) = -7*c(a) - 2*z(a). Give f(g(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(45\/30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.1, -6454, 0.4 in descending order.\nAnswer: 0.4, 0.3, 0.1, -6454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38674011 minus 43.6099?\nAnswer: -38674054.6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l - 30*l = 4648. Let p(v) = 4*v**3 + v**2 + 6*v - 4. Let m be p(4). Let c = m - l. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 54 + 6*i**3 - i**2 - 8*i**3 + 3*i**3 + 72 as v*i**2 + f*i + w + c*i**3 and give w.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 33*l**2 + 17*l**2 + 2*l**3 + 51.\nAnswer: 2*l**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*q - 2527 + 2527 as z + t*q and give t.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5656 and 10100?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9979.\nAnswer: 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - 909\/36. Let h be (-20)\/d*30\/4. Solve -5*l = -0*l - 4*m - 13, 4*l - m - h = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 1134*j + 835*j + 249*j**2 - 1969*j.\nAnswer: 247*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -228 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.98 + -0.02. Let g = -35748 + 35742.9982. Let n = g - w. What is n rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t + 32. Let x(z) = -z**2 - 6*z - 2. Let o be x(-6). Let f(h) = h**3 + h**2 - 2*h - 1. Let a be f(o). Sort 2, t, a in decreasing order.\nAnswer: 2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -302, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*b**3 - 4687*b + 4714*b - 10*b**3 in the form a + y*b**2 + g*b + t*b**3 and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -365819.86\nAnswer: 2926558.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -17. Suppose -j = -5*i + 14, -i + h = 5*j + 3. What is the remainder when (138\/(-1 - j))\/(-1) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18538678*m**3 + 5953114*m wrt m?\nAnswer: -111232068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/10)\/15*-3*2\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = -3*f + 2*b, 2*f - 25 = 3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4 - (646\/51)\/(-19).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (sqrt(2736) + sqrt(2736) + 4 + sqrt(2736) + -2 - -5*(sqrt(2736) + -4 - sqrt(2736)))*4))**2.\nAnswer: -496800*sqrt(19) + 9968625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/((-17 - -20) + -8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 23*i + 78. Let c be z(-8). Let t be (c\/689)\/((1 + -40)\/1). Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, f: 7}. Give prob of picking 3 v and 1 f.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -56*u**3 + 6*u**2 + 12*u + 5. Give v(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214230 and 339660.\nAnswer: 65554380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*k**3 + 292*k?\nAnswer: 420*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n. Let v(g) = -7*g**2 - 132*g. Determine -6*q(y) + v(y).\nAnswer: -y**2 - 126*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 85.5. What is the closest to 7 in u, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 4 + 1 - 2 + o**2 + 3. Is w(5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 0*p - 12 + 45 - 9 + 36 to the form w + g*p and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 30*m - 42*m + 42*m + 73 - 73. Let a(b) = -2*b**2 - 3. Calculate f(a(c)).\nAnswer: -60*c**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5.8. Let f = y + 0. Let k = -0.37 - -0.07. What is the biggest value in f, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*u)*(-2*u + 0*u + 3*u) + (117 + 59*u - 117)*(-2*u - 4*u + 4*u) + 3*u**2 + 7*u**2 - 3*u**2 to the form i*u**2 + f + c*u and give i.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3799*g**3*u + 4*g**3 - 4*g*u - 6*g - 918*u wrt g.\nAnswer: -22794*g*u + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - m**2 - m**2 - 867*m + 867*m - 160*m**2 + (0*m + 0*m + m)*(m - 5*m + 5*m))*(2*m - 1 + 3 + 0) as u + g*m**2 + j*m**3 + f*m and give j.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 40*q - 19. What is t(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813371123 is divided by 429?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (105\/42)\/(5*6\/852) + -13\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*b = 0, -2*b = -4*b + 6. Suppose 8 = 3*f - 4*f - 2*p, 0 = 5*f + 2*p. Calculate the greatest common factor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48*-152980\nAnswer: -73430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**2 - 2*r - 4. What is o(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9460)\/(-516) + (-5 - (11 - -10))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 q when four letters picked without replacement from {x: 2, f: 4, q: 1, s: 2, e: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 90294*r - 1444717. What is i(16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.5 - 29. Let y = 3 + -2. Let g = -3.8 + -1.2. Which is the third biggest value? (a) g (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 s when four letters picked without replacement from wssswwss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**3 + l. Let r be t(1). Let x be (-15*2\/3)\/(0 + -2). Find the third derivative of -9*u**2 + 2*u**x - r*u**5 + 6*u**5 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*g + 28. Let k be -35*13\/((-325)\/g). Let i(v) = -v**3 + 24*v**2 + 26*v + 18. Let u be i(25). Is u not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530388 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.06 and -6.\nAnswer: -9.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2637989?\nAnswer: 37, 83, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 2*r**2 + r + 2. Let a(z) = -z**2 - 7*z - 2. Let k = -10 - 44. Let f = -61 - k. Let s be a(f). Determine d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5116731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 567597781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k = 41*k + 4. Which is the nearest to k? (a) -1 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6008*i + 39850. What is r(-7)?\nAnswer: -2206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7218335431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103185 divided by -310?\nAnswer: 20637\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1\/4 (b) 4 (c) 0.02 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5785244 to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12) - (-1)\/2*0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55678 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23*o + 28*o + 13 = 0, 3*t + 3*o - 21 = 0. What is the remainder when 25604 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 36*j + 55 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-688)\/(-4))\/(7\/(63\/6)). Let k(b) = -150*b - 151*b + n*b. Let v(r) = -2*r. Give v(k(q)).\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 divided by 114?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082631 bigger than 2082631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5\/5 - 21*f**4\/5 - 29*f**3\/5 + 2*f**2 + 36*f\/5 + 8\/5 = 0 for f.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08248 - -0.074454. Round h to 4 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 157*u**2 - 167*u - 1743. Calculate x(-156).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/7, -9, 0.15, -2\/7?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4 - 4) + 5. Suppose s*k - 3 = 84. Suppose 0 = 3*p - k - 91. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a meter in centimeters?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27563 + 13739 = -61*v - 13580 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*w**2 + 58*w**2 - 206 + 64*w**2 - 3474 + 62*w**2 to the form j + u*w + y*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 113 and 7.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 202, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((28\/(-8))\/(-7))\/(2\/20). Solve 0 = -5*f - 3*n + 5 + r, 4*n - 20 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*((sqrt(605) + (sqrt(605) + -1)*-5)**2 + (sqrt(605) + (sqrt(605) - 2*(sqrt(605) + sqrt(605) + 0)))**2).\nAnswer: -218250 + 7920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -0.4, 4324?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 9\/(-6) + 8\/((-160)\/(-20610)) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + 2 + 2 + -5 - (-187 - -149)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.5, 0.0333, 1.51, 0.2 in descending order.\nAnswer: 1.51, 0.2, 0.0333, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -528516.816 rounded to the nearest 100?\nAnswer: -528500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7649348 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 + 239*l**3\/5 + 1716*l**2\/5 + 1476*l\/5.\nAnswer: -l*(l - 246)*(l + 1)*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 4. What is the second derivative of v**4 - v**4 + v**4 - k*v wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/(-24) - (3 - 0). Let j be 1\/(-2) - 9\/(-2). Solve 16 = j*n + b*v, 2*v = n - 0*v - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 108 = 5*i. Find the common denominator of 3\/12*i\/6 and -35\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (31 - 32)\/(1\/(-3)). Suppose 5*j + 3509990 = -5*d, 5*d - n*j + 3509998 = -4*j. What is d rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027731529 rounded to seven decimal places?\nAnswer: 0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4542, 1\/74, 0.5, 3.\nAnswer: -4542, 1\/74, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(1\/27)\/(m**(-1\/5)\/(((m\/m**(-3\/2))\/m)\/m)))**(-15) assuming m is positive.\nAnswer: m**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 239*k - 177. What is g(-118)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694676 - 1389328 + 694631 + 0*q - 3*q.\nAnswer: -3*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 308*s**2 - 308*s**2 + 6 to the form o*s**2 + c + x*s**3 + d*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -27. Suppose 80 = -2*f + 4*f - 5*v, -2*f + 74 = -2*v. Suppose 0 = o*i - f - 435. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.58 minus -0.005038?\nAnswer: 4.585038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggf when four letters picked without replacement from ggggggfgggfgff?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*c - 1580, 3*x - 3*c = 2398 - 814. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*b**2*f**3*g**2 - 2*b**2*f**3 + 22*b**2*f*g**2 + 134*b**2 - 13*f**3 + 1 wrt g.\nAnswer: -80*b**2*f**3*g + 44*b**2*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26307 and 6327?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 6}. What is prob of picking 1 r and 3 s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 32*z**2 - 4*z + 133. Let y be r(32). Solve 0 = -5*k + 5*d - 6 + 1, -4*d + 4 = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - 5*c + 6. Let t be a(-5). Suppose p + 4*p = 2*s - t, s + 22 = -5*p. Calculate the remainder when ((-3 - 4)*-2)\/2 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -360, 2\/433, 1?\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 - 21*g. Let t(x) = -5*x + 12 - 12 + 3*x - x**2. Give -21*t(s) + 2*w(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-33)*2025\/270 + 1\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 20 + 3 + 2*z**3 + 19 to n*z**2 + s*z**3 + f*z + b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 497 - 477. What is the smallest common multiple of y and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/16*(-6)\/9. Solve z*h + 3*w = 12, -3*h + 5*w = -h + 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 4, m: 3, o: 1, l: 4}. Give prob of picking 4 l.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0 - 3*n + 0*n**3 + 0*n**2 - 1\/20*n**5 - 1\/15*n**6 + 1\/12*n**4. Factor z(y).\nAnswer: -y**2*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22987 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*a**2*i**2 - 26725*a*i**2 - 3122348*i**2 wrt a.\nAnswer: -122*a*i**2 - 26725*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 32671.\nAnswer: 160\/32671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -12, 29, 70?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 168\/(-1092) + 0 + 354105\/(-13). Let a = b + 38344. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.3 + 7.8. Let f = 25 + t. What is the biggest value in f, 2, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.006 - 0.044. Which is the second biggest value? (a) q (b) 7 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6729363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 9. Let p(t) = -2*t**2 + 2*t + 6. Suppose -5*q - 2*b = b + 10, -4*q + 2*b = 8. Let w be p(q). What is k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -567.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 3*o**2 + 3*o - 3. Let k be d(2). Let n = k - -12. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -113. Suppose 0 = -4*x - 4*d, h*d - 3*d - 15 = -2*x. Solve 2*b - 5*k = -15, 3*k - 10 - x = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68891 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-y**2 - 4*y**2 + y**2 + (-4*y + 3*y + 2*y)*(-5*y + 5*y + 2*y)) + (-1 - 3 + 1)*(-4*y**2 + 8*y**2 - 2*y**2) as z + k*y + j*y**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 4. Suppose -2*t + 4 + 0 = 0. Suppose t*p - 5*o = 24 - 1, 5*p - 4*o = 49. Suppose -25 = -4*n - p. Calculate d(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + 44. Let d = 226\/17 + -2163\/187. Find the common denominator of d and 1*1\/(-4)*x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Let f(a) = 4*a - 6. Let q be f(2). Solve 6 = p*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 6. Let g be h(-4). Let t(a) = a**2 + 26*a - g*a - 14*a - 6. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -72348*g. Let d(w) = -35*w**2. Give n(d(v)).\nAnswer: 2532180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 677750433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5055640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 458619 and 2882748?\nAnswer: 20179236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 447871639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2. Let h(c) = -17*c + 185. Let j be h(10). Let v(x) = 6*x - 24*x + j*x**2 + 18*x - 2*x**2. Give n(v(w)).\nAnswer: -676*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 129, 320, 581, 900, 1265?\n\"Answer: -2*a**3 + 53*a**2 - 36*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12 + 28)*((-5*s + 8 - 8)*(-3 + 2 + 3) - 155 + 7*s + 155) to g*s + m and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 1138131132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 142 = -z. Let s(l) = -5*l - 46. Calculate the smallest common multiple of s(z) and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*i + 1292 = -71 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 - 4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3681\/2108 - -2\/527. Suppose -1\/2*c**4 + 0 + 0*c + 1\/2*c**2 + 7\/4*c**3 - l*c**5 = 0. What is c?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0 (b) -0.4 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*1)\/sqrt(5) - ((sqrt(64)\/sqrt(4))\/sqrt(8) - sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r = -68*r + 583 - 147 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/9 - -10\/9. Let s(m) be the second derivative of 0 + 2*m - 1\/2*m**2 - l*m**3 - 1\/12*m**4. Find v such that s(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53080 - 36723. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414340004 (base 5) to base 12\nAnswer: -6a8590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 8*r - 44. What is v in k(v) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 11*s**4\/12 - s**3\/6 + s**2 + 17*s. List the prime factors of c(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.1 (b) -2 (c) 4\/55 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (5 + 1 + sqrt(2) - (sqrt(54)\/sqrt(3))**2))*-2.\nAnswer: -70 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.03 to 0 decimal places.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032354246 rounded to 6 decimal places?\nAnswer: 0.032354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8718 = 5*g - 8716, -11*g = -4*t + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.52867 - -0.1\nAnswer: 0.62867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -4\/5 (c) -5\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6463.25 times 0.05\nAnswer: 323.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.16493 millilitres in litres?\nAnswer: 0.07816493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236\/(-176500)*(28\/(-49))\/((-12)\/14)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04426986 and -0.08?\nAnswer: 0.03573014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152132 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/2 - -1) + 1. Let t(l) = -l**2 - 6*l + 3. Let g be t(v). Suppose -11 = -g*u + 1. Sort 2, u, -3 in decreasing order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 782632.9 millimeters?\nAnswer: 782.6329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/27 (b) 24 (c) 2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -651*d**2 + 7*d + 453. Let k be ((-4)\/10)\/((-2)\/(-10)). Is n(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b - 2, -4*v + b = 158. Let d be v\/(-16)*(36\/10 - 2). Solve -d*g + 6 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 14*y**3 + 8*y**3 - 3 + 11*y**3 to the form w + h*y**2 + v*y + j*y**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(90\/24) - -1*1082. Let v = -11983\/11 + k. What is the common denominator of (1\/4)\/((-4)\/118) and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498477.\nAnswer: 3, 7, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 = -s, 2*w + s + 3*s - 18 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2, w: 1, g: 3, m: 1, s: 3}. What is prob of sequence iw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 0*z + 0*z + (-2 - 4 + 4)*(-2*z**3 - 2*z + 2*z) + (-6*z + 2*z + 3*z)*(-5 + 5 + z**2).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2760 - -2792. Which is smaller: 131\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -548a (base 14) to base 9.\nAnswer: -22051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17547 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506686 divided by 3.\nAnswer: -506686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 52 = -o. Let b = 179 + 111. Let t = b - 266. What is the remainder when t is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 445 + -438. Let p be (-130)\/455 - (-142)\/b. Solve 5*y - 3*n = p, 3*y - 5*n - 20 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and -163\/500640?\nAnswer: 500640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113020 (base 4) in base 3?\nAnswer: 21122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 4875*g**2 + 25*g + 5*g.\nAnswer: 4875*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-10))\/(2\/(-10)). Suppose w = 6*m - 17. Which is the nearest to -16? (a) 0 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 11*o - 37. Calculate n(25).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 9*r + 9. Suppose -6*l + 9*l = r. Solve l*m = m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 6841662*g\/5 + 11702084730561\/5.\nAnswer: (g + 3420831)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2 = -2*b. Let r = 60520 + -60516. Put b, -11, r in descending order.\nAnswer: r, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, c: 9, s: 4, p: 2}. Give prob of sequence pscp.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (1*1*(sqrt(121) - 2*sqrt(121)))\/(4*-2*sqrt(275))))**2.\nAnswer: 4*sqrt(11)\/5 + 1611\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {b: 1, r: 8, t: 5, s: 5}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 5:30 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) 64\/33 (c) 1\/9 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 598, 1307, 2310, 3613, 5222, 7143, 9382?\nAnswer: 11945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 103, 45, -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, q: 13}. Give prob of sequence ipq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337015525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 33*y - 26388 = -2*j, y - 13206 = -j. Is 55 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/4 + 120*n**2 + 16575*n\/4 - 108375\/2 = 0. Calculate n.\nAnswer: -85, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19378483 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.48 + 0.68. Let z = c + 0.8. What is the biggest value in -3, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from ehyyyedhypdeyey.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in -1, -0.3, -2454, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*m**3 - 59*m + 5*m**2 + 2*m**2 - 183*m**3 to the form f + j*m**2 + p*m**3 + x*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -3, 14, 39, 72, 113, 162?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7795 - -7798.9. Which is the nearest to d? (a) 2 (b) 0.4 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 518.5483 litres?\nAnswer: 518548.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 13. Let m = -3 - -5. Find the third derivative of l**3 + u*l**3 + 0*l**3 + 2*l**m wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Let t(c) = 4*c + 0 + 13*c**2 - 7*c**y - 5*c**2 - 3. What is the units digit of t(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79899000 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + 4 + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 45. Let a be 7 - (-3 + 0 - t). Solve -4*p + 20 = c, -2*c + 0 + a = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 + 259. Let b = -67 - -72. Solve -2 - 39 = 4*j + b*o, 27 = -k*j - 3*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a + 15. Let w(d) = -15*d + 32. Let k(b) = -9*t(b) + 4*w(b). What is k(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 545*c**4 - 875365*c**3 + 123476775*c**2 - 2049729660*c + 1927127700 = 0. Calculate c.\nAnswer: -530, 1, 18, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -352*w**3 - 11*w**2 + 105059*w?\nAnswer: -2112*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**4 + 2*f**3 - 2*f**3)*(3 + 2 - 6).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1159, 3, 2852 in increasing order.\nAnswer: 3, 1159, 2852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7 - 5, 8 = 5*k - 4*x. Let f be ((-8)\/26)\/k*2. Let z = -1698 + 1698. What is the closest to f in 2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3\/4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 36420870 + 36420870 - 3*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3057832 minutes?\nAnswer: 18346.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/(-10) + 2\/10. Let u(j) = -111*j**3 - j**2 + j + 1. Let i be u(-1). Suppose 0 = -k + 26 + i. Calculate the greatest common factor of k and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 + 37)*(0 + 2 + 0)*(2 + h**2 - 2).\nAnswer: 104*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 12\/7 (b) -2\/15 (c) -6 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 4, -3 in decreasing order.\nAnswer: 4, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 58*w + d = 1, -d - 14 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1203)\/(-1140) + (1274\/(-70))\/13 and -49\/40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2700379318, 2700379319, 2700379320, 2700379321?\nAnswer: 2700379322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 3 + 0*i + 2\/3*i**3. Let j(o) be the second derivative of -o**3\/3 - 6*o. Give l(j(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-15)\/9)*18\/(-2304)*-8.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = y - 5, 0 = 3*m - 1 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0 + 0)*(4*o**2 + 5*o**2 - 2*o**2) + o**3 - o**3 - o**4 - 3*o**4 - 3*o - 3*o + 13*o.\nAnswer: -18*o**4 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36675, 36651, 36611, 36555?\nAnswer: 36483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 680035*q*u**4 - 2274067*q*u**2 wrt u.\nAnswer: 16320840*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160988405 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212525 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1882, -2\/3087, 4, -1.\nAnswer: -1, -2\/3087, 4, 1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -448781\/2187 and -204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184*n**2 - 805*n**2 - 718*n**2 - 820*n**2.\nAnswer: -159*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -5 (c) 4 (d) -7 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**3 + 28*j**2 - 7*j - 80. Let n(l) = 3*l**3 + 8*l**2 - 2*l - 25. Let y(g) = 2*k(g) - 7*n(g). Let p(v) = -v**2 + 1. What is 3*p(u) + y(u)?\nAnswer: -u**3 - 3*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 480*((-1)\/(-3) - -3). Suppose 9*m - n = -7*m. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -2320108355.1.\nAnswer: -2320108358.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/360 + 17*s**4\/24 - 19*s**2. Let c(f) be the second derivative of q(f). Determine c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(-13)\/(t**(1\/3)*t*t\/(t*t**(1\/4)\/t))*(t**(-1\/9)*t*t**8)\/(t\/(t**(-2\/9)\/t))**(8\/5) assuming t is positive.\nAnswer: t**(13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 13, 33, 35, 13, -39, -127, -257?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 e when four letters picked without replacement from {k: 3, e: 2, u: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -20216, -92, 6 in ascending order.\nAnswer: -20216, -92, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.6 + -892.6. Let b = -808.056 - g. Let d = -9 - b. Round d to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116685 - 1283507\/11. Determine v, given that 2*v**2 + 6\/11 + c*v = 0.\nAnswer: -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12178.1 - -12178. What is the nearest to 13 in t, -3, -1\/8, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20190566?\nAnswer: 2, 11, 917753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*u + 371435 + 696511 = -944*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 11) to base 3.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669118713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17182 is divided by 1070.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 146, 271, 392, 509, 622, 731?\n\"Answer: -2*n**2 + 131*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1672 or -63?\nAnswer: -0.1672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65070?\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16 = 2*i, -2*z = 3*i - 5*z + 6. Suppose 2*v - 24 = -i*p, 8 = -3*v + 4*v - p. Let g(j) = -j + 1. Give g(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2669 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 3141*d + 3140.\nAnswer: (d - 3140)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:30 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*c - 162, -269 = -4*w - 5*c - 52. What is the highest common factor of w and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 137884760, 275769526, 413654294, 551539064, 689423836, 827308610, 965193386?\n\"Answer: q**2 + 137884763*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:07 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.16 + -0.16. Which is the nearest to 2? (a) -2\/7 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from {b: 4, u: 6}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(65) + ((sqrt(65) - -2*sqrt(65)) + sqrt(65))*6 + sqrt(65) - sqrt(65)*-1*-1)\/(sqrt(15)\/(sqrt(3) + sqrt(6)\/sqrt(2)*-6)))**2.\nAnswer: 203125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 - y + 1. Suppose -4*z - 6 = n - 3*n, -1 = 3*n + 4*z. Let x be f(n). Sort x, 4, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)\/(4 + -3). Let v be ((-4)\/1)\/(z\/(-4)). Solve -5*j - v = y, 4*j + 5*y = -0*y - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1574599.8 months to millennia.\nAnswer: 131.21665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - r = -80080, -18*r = 3*k - 15*r - 40035. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840.61 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 123*n - 11. Let a(v) = -40 + 11 + 12 + 13 + 560*v - 519*v. Determine -11*a(b) + 4*l(b).\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 93737*u**2 - 64 + 93736*u**2 - 113*u to z*u**2 + p + x*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024737087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*24\/(1680\/35).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/2))**(-4\/41))**14)**34 assuming u is positive.\nAnswer: u**(952\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*s + 45. Let v(p) = 72787*p**2 - 9*p + 16. Let r be v(s). Let y = r - 3399646. Round y to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by (-220)\/(-5) - (-2 + (3 - 3))\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.366584 milligrams to kilograms.\nAnswer: 0.000002366584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010 (base 2) in base 7?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 7)*(3*m + m - 2*m) + 786 - 786 - 69*m)*(7*m - 2*m - 4*m).\nAnswer: -79*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067168829 + -0.22.\nAnswer: -0.152831171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 11 = -5 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7268, -14076, -20414, -26276, -31656?\n\"Answer: t**3 + 229*t**2 - 7502*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, p: 1, o: 2, j: 1, d: 1, u: 5}. What is prob of sequence pb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 + 2.3. What is the nearest to -1\/3 in -0.4, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/5 + 7\/15. Which is the second biggest value? (a) -1\/5 (b) -22 (c) j (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4 + 24*x + 3 - 1 + 1. Let r be w(1). Suppose 0 = -2*t - 5*c + r, t = -3*c + 13 - 0. Let z(d) = d + 3. Determine z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1802905, 3605809, 5408713, 7211617?\n\"Answer: 1802904*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1345526 (base 7) to base 15.\nAnswer: -3836e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*f - 74, 5*k - f - 17 = 4*k. Calculate the least common multiple of k and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 70. Let x be r(18). Solve -y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 1, z: 7, l: 5}. What is prob of picking 1 y and 2 z?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -533, -1194, -2119, -3308, -4761?\nAnswer: -6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 849861 and 849860 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 48 - 2 = 0. Solve -t*j + 3*x + 13 = 2*x, 3*j - x - 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:23 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {y: 2, i: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10+250353936390.4\nAnswer: 250353936400.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412140 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: Let n be 9\/(5 - 2) - 3. Suppose n*r - 5*r = 0. Suppose 100 = 5*a - r*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2151 - 4303 + 2152 + 5009*u**2 in the form h*u**2 + t*u + o and give h.\nAnswer: 5009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8982)\/11976*172\/3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Let a(m) = m**2 - 5*m + 5. Does 5 divide a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 16*p + 14. Let j be w(-6). Let a = -48 - j. Let r = 7 + a. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**3 + 19*k**3 + 0*k**3)*(0*k**2 + 2*k**2 - 4*k**2).\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:14 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 z, and 1 w when four letters picked without replacement from wwzwzlllwwzlw.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/6 - (-5)\/15) + -29. Let p = -4 + m. Let t be (-14)\/(-40) - (p\/16 - -2). Sort -0.3, t, -1\/4.\nAnswer: -0.3, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 9*b - 4. Suppose w = 2*r - r + 3*r - 44, 0 = 3*w. Calculate d(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 1111 = -4*q - 2*f, -5*q + f - 1451 = 0. Calculate the common denominator of 2 - q\/(-12) - 10\/15 and -19\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4840 or -1?\nAnswer: -4840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -1\/7 (c) 0.03 (d) -2\/227 (e) 1\/3 (f) -26 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 645*w**2 + 50*w + 91. Calculate o(2).\nAnswer: 2771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - -634. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g**2 - 13*g**2 + 17*g**2 as x*g**2 + c*g + y and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4457\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3223, -3247, -3281, -3331, -3403?\nAnswer: -3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17437 - -17436.97. What is the nearest to -0.1 in 2, z, 4, -1\/76?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -5 + (224\/14 + -8 - -261). What is the highest common divisor of o and 840?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8.4. Let d = -10.6 - t. Let q = -49\/3 - -15. What is the second smallest value in q, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 29\/2)\/((-34)\/408). Let h be (1\/2 - 0)*24\/o. Let s = h - 986\/189. Calculate the common denominator of s and 28\/43.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*b + 3)*(0*b + 2*b - b)*(-6*b - 51*b - 32*b) to r + s*b**2 + p*b + m*b**3 and give m.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9776 - 8684. Calculate the remainder when r is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1054 - -1062. Calculate the remainder when 84 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.29. Let v = k + 0.09. What is the second biggest value in 0.4, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34130135 + 488579?\nAnswer: 34618714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9642 is divided by 190.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -21. Suppose 2*p - 3*f + f = 142, -r*f = -3*p + 221. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -2, 1 in descending order.\nAnswer: 1, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 213643489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*s - 9 - 1, s - 4*k = 15. Let o = 21\/4 + s. Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 6. Let g(h) = 12*h**2. What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:18 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 99*d**2 - 54*d + 161. Give o(49).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 77 - 87 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2324.9 and -86.4?\nAnswer: -200871.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -2\/19, -2\/11 in decreasing order.\nAnswer: 160, -2\/19, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 7*u + 92 - u**2 - 186 + 88. What is l(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - -3) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12400 = 88*n - 72*n. What is the highest common factor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 b when four letters picked without replacement from {l: 2, g: 3, b: 2, q: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**2 + 24*n + 7. Let z(s) = -4*s - 2*s - 2*s - 2 + 4*s**2. Let y(h) = 6*p(h) + 17*z(h). Factor y(g).\nAnswer: 2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211\/3 + 71. Let h = -0.04 + 0.01. Let l = h - -0.43. Which is the closest to i? (a) -5 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(h + 0*h + h) + h + 0*h + h + (-4 + 1 + 1)*(20*h - 19 + 19).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 130\/39 - (1 + -6 + 5)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {p: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301*k**2 + 16*k**4 - 69*k**2 - 11*k**6 + 13*k**6 - 3061*k**2 - 75*k**4 wrt k.\nAnswer: 240*k**3 - 1416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n, 0 = -4*d - 3*n + 61 + 30. What is the lowest common multiple of 16 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -168. Let h = n + 87. Let y = h + 64. Which is the second smallest value? (a) 1 (b) y (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -582 + 532*x**3 + 934*x - 466*x - 467*x wrt x.\nAnswer: 1596*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61761 - -1?\nAnswer: 61762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 5)\/((-1)\/6). Let w be (o\/15)\/(-1)*5. Suppose -138 = -3*y - n, n - 234 = -5*y - w*n. What is the remainder when y is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2748393 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182007*k**5 + 275*k**2 - 5*k - 31 wrt k?\nAnswer: -10920420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 5030640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (15 + -22 - -28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*l = -9, -3*v + 3*l + 6 = -3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y. Let r(k) = k. Let x be 900\/(-30)*6\/(-9). Give x*r(u) - t(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(2\/2396). Suppose k + 5*n + 463 = 4*k, -3*n = -4*k + q. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 6 = -2*n. Let a be -4 - (0 + 14\/(-1)). Let v = 15 - a. Calculate the remainder when n is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - o**3)*(19 + 1 + 10).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 24*h**2 - 58*h + 36 = 0. Calculate h.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -526*u + 530*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725.9129 months in millennia?\nAnswer: 0.143826075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 168.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -18\/73 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 4*y**2 - 6*y - 9. Calculate the remainder when m(6) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:23 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/1027206 and -57\/2.\nAnswer: 1027206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 627329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - o**2 - o + 4. Let x be f(0). Let y(s) = -6*s**2 + 4*s + 8. Let t(d) = 14*d**2 - 8*d - 18. Let i(q) = 2*t(q) + 5*y(q). Give i(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348238.\nAnswer: 2, 43, 38933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1833445 divided by -3427\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 17177811?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -63. Suppose 3*x + x - s = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/614250 and 11\/2457000.\nAnswer: 2457000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 18. Let h be z(9). Suppose -18 = -h*w + w. List the prime factors of (-8 - -1)*w\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*w - 22 + 17 + 189*w.\nAnswer: 737*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -57, -79, -137, -243, -409?\n\"Answer: -2*k**3 + 16*k - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7551892 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 28*d - 2*c + 57, -6*d - 4*c - 60 + 26 = 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2153.8159 from 7.590417.\nAnswer: -2146.225483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -1. Let o = 182 + -182. Let t = -6 - -9. Which is the third biggest value? (a) j (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19089, -19072, -19045, -19002, -18937?\n\"Answer: a**3 - a**2 + 13*a - 19102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 23 = -29. What is the remainder when 209 is divided by 1*(-2 - q)*(-39 + -14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.859 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*l**3*v**2 - 2*l**3 + 3*v**2 + 20 wrt l.\nAnswer: -300*l**2*v**2 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*q = -40, -6*q - 32 + 66 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -33 (b) 3\/4 (c) 10 (d) -2\/11 (e) -1523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14371 bigger than -14370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134484260 and 2074?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 5, f: 3, a: 7}. Give prob of sequence of.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144799272 divided by -20733.\nAnswer: -6984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051852575.\nAnswer: 3, 5, 53, 71, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*j**2 + 11*j**3 - 21*j**3 - 1419*j**2.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0437292 - -0.00128. Let j = -0.045 + h. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r - 21 = -2*y, 15 = 5*r. Let b(j) = 8*j + 7. Let m(c) = -7*c - 6 + 1 - 1. Give y*m(s) + 5*b(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32 - 0.3. Let f = -0.42 + l. Let x = 8\/53 + 2\/689. Which is the second biggest value? (a) f (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1803b2 (base 14) to base 15\nAnswer: -11a981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -1.1, 140368?\nAnswer: 140368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2868*w**2 - 1943 with respect to w.\nAnswer: -5736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6261.5971847 + -6261.6. Round n to 5 dps.\nAnswer: -0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1029 or -7?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + l - 461, 2*l = 4*m - 608. Suppose -4*c - m = -7*c. Suppose -9*d + c = -6*d. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1111663 and 2744?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*i = 4*h + 9, -5*i = -3*h + 1. Let d = 17 - 15. Suppose -2*v = -d*w - 10, v - 17 = -4*v + 3*w. Sort 5, h, v in ascending order.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98887, -99495, -100103?\n\"Answer: -608*p - 98279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(104))\/(sqrt(8) + 2*sqrt(72)).\nAnswer: 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -6*1 - 0. Let w = r - 9. Calculate the remainder when 27 is divided by (8\/(-10))\/(w\/70).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10)**(-25))**(21\/2) assuming r is positive.\nAnswer: r**(-5775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0379 - 374.0379. Let c = w + 380.24. Let r = 6.23999631 - c. Round r to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -523 + 725?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-312)\/(-40) + -7)\/(2\/10). Let z be (-9 + 5 + y)\/(-2). Factor -2\/7*f - 3\/7*f**2 + 1\/7*f**4 + 0*f**3 + z.\nAnswer: f*(f - 2)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 4*u - 31*u)*(0*u - 3*u + 2*u).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*2)\/(sqrt(175)*-1) + (3*sqrt(65))\/sqrt(5) + 2*sqrt(13)*-4.\nAnswer: -29*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 13) in base 8?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 3\/7, -2\/5, -0.035444, 2, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 5*k + 398. Let r(j) = -2*j**2 + 6*j + 396. What is -5*r(h) + 6*s(h)?\nAnswer: -2*h**2 + 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 30 = -0*o. List the prime factors of (-16)\/o - 1\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Let b be (-5)\/(30\/(-8)) - (-308)\/84. Solve -17 = -4*t + t + l*h, -b*h - 5 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08185 and 18.\nAnswer: 1.4733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 603998911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let b(x) = 11*x**2 + 27*x - 13. Let l(j) = 4*j**2 + 11*j - 4. Let d(t) = 4*b(t) - 13*l(t). Determine o(d(z)).\nAnswer: -8*z**2 - 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -33. Let q be -2 - x\/(6\/15). Suppose 3*g + 8*h = 3*h + 536, q*g + 2*h = 542. Calculate the greatest common divisor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 34 - 74. Let b = 35 - l. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 - -711\/4. Which is the nearest to 0.4? (a) o (b) 0.2 (c) 1\/4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -1, -13287, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 64, 4, -0.4, 5, 11\/47, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (0 + -2)\/1. Let f be k*(-3)\/6*5. Let b = 2 + f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19045 and 734903?\nAnswer: 1076632895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h + 8*f, -573*h = -576*h - 4*f + 33. Let n(d) = 6*d**2 - 6*d - 2. Calculate the remainder when n(-4) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30332 (base 4) to base 7.\nAnswer: -2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {c: 2, i: 2, y: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**17\/b*b\/(b\/(b\/(((b*b**(-17))\/b)\/b)))*b\/(b*b**(-8\/7)*b*b)*b\/((b*b*b**(-21))\/b) assuming b is positive.\nAnswer: b**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 8*u. Let k(g) = -23*g - 13*g + 69*g - 21*g - 19*g + 3*g**3. Give -7*k(s) + 6*p(s).\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7096*k - 5044*k - 4762*k in the form h*k + j and give h.\nAnswer: -2710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 2. Let q be i(-2). Suppose -2 = 2*x - q*m - 8, -5*m + 3 = 4*x. Suppose -x*z = 2*z. Is z not equal to 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -32. Let n = j - -5. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*5*(-1)\/(-10). Let g be ((-8)\/d)\/((-20)\/(-30)). Let i be g\/3 - 1*6\/(-90). Sort 5, 0, i, 0.1.\nAnswer: i, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11706957 = -2*t - 4*l + 9608491, 5*l = -3*t + 31973172. Let d = t + -39857724. What is d rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3)*2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.24 and -0.134.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 6, t: 4}. What is prob of picking 2 h and 1 p?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 23 - -6 - 42\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-5 - 9) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 203*w + 2233. Let q be k(-11). Let v = -9.7 - 0.3. Let y = -8 - v. Which is the nearest to q? (a) y (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i + 9 = 66*i. Let v = i + 75. Calculate the remainder when v is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56983 - 56726 + 113709 - f**3 + 4*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 18 = 5*z, -5*l - 43 = -3*z - 19. Which is the nearest to -2\/5? (a) l (b) 0.04 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1260 and 183204.\nAnswer: 916020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n**2. Let u(m) = 77*m. Calculate t(u(b)).\nAnswer: -47432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3267306*h**2. Let r(i) = -7*i. Give x(r(g)).\nAnswer: -160097994*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -5737 and -5736 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 23 = 12. Solve 0 = v*y - 3*s + 17, -1 = y - s + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2362.98 + 0.2?\nAnswer: -2362.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - ((-1 - 8) + 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 3865.\nAnswer: 30920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aluluallulfuaufluful. Give prob of sequence fu.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160030579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 617179*h - 617180.\nAnswer: (h - 617180)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 + 0 + 0 + (t + 1 - 1)*(5 - t - 5) - 17*t**2 + 10*t**2 + 1 - t + 5*t**2.\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1088 - -1232. What is the remainder when h is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770 (base 8) in base 16?\nAnswer: -3f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 11. Let k be q\/12 - 33\/(-4). Suppose 0 = -4*o - 5*z + 33, -4*z - 20 = -k*z. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 2*u - 10734, -4*d + 14312 = u. Let y = 28677\/8 - d. Find the common denominator of 13\/10 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101.732 times -5\nAnswer: -508.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -263 (c) 0.3 (d) 0.5 (e) 51\/10 (f) 208 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (6 + (57 - (12 + 18)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 687, -1, 5, -4, 0, 1.\nAnswer: -4, -3, -1, 0, 1, 5, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 + 7*g - 9. Let y be i(4). Let q(h) = 11*h - 4*h + 6*h**2 - 5*h**2 + 10. Let x be q(-5). Solve -3*k = -y - x, 3*u + 4*k = 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzbgbizgizzbbigg. Give prob of sequence bzz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -6 + 5 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpwpqddgppgqpyq. What is prob of sequence dw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406561 by 1.\nAnswer: -406561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 33. Suppose 2*o - y = 3*y + 76, 5*o - 5*y - 195 = 0. Let x = o - 28. What is the remainder when w is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 3*m, 0 = 4*r - m - 2*m - 16. Determine u so that 255*u**2 + 140*u - 12*u**r - 45*u**5 + 540 + 125*u**3 - 43*u**4 - 520 = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421355153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -74. Let h be (-1 - 0)*p - -5. Solve 8 = m + 4*v - h, -2*m = -5*v + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 241 and 3.590896 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 35*d**2 - 5*d + 46. Let t = -106 - -100. Let b(v) = 35*v**2 - 6*v + 47. Let s(f) = t*o(f) + 5*b(f). What is the derivative of s(g) wrt g?\nAnswer: -70*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -370?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 0. Suppose -k = -8 - y. Let o(u) = u**3 - 7*u**2 + 7*u - 12. List the prime factors of o(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = 49*v - 4. What is the greatest common divisor of 84 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 o when four letters picked without replacement from {u: 14, o: 5}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:21 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 3*a + 4*a. Let j be 0 - (-1)\/(3\/15). Let u(q) = -1 + 1 + 3*q**2 - j*q**2. What is u(c(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154397 to the power of 1\/2, to the nearest integer?\nAnswer: 3893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 700 = -3850. Does 63 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 4:06 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11664 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, 1 j, and 1 h when four letters picked without replacement from {j: 2, v: 1, h: 3, k: 2, b: 1, d: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**2 - 24*x - 7. Let r be l(12). What is the greatest common factor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -31, 0.3, 2\/11, 0.4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152347\/190 or 803?\nAnswer: 152347\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 10)*(-406675 + 406675 - 1601*u).\nAnswer: -16010*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 3, i: 5, r: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9876500, -9876502, -9876504?\nAnswer: -9876506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -213 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/((-9)\/30)*9\/15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140.46969 - 134.7705. Let i = 5.7 - b. What is i rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(3 - (5 + -3)). Find the common denominator of ((-267)\/(-63))\/((-6)\/u) and -73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 + 635*g**2 - 318?\nAnswer: 6*g**2 + 1270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h. Let y(v) = 667*v**2. Calculate n(y(r)).\nAnswer: -5336*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 5*q + 40, -3472*q + 6942*q - 18*b - 84 = 3471*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -10182, 97.\nAnswer: -10182, 5, 11, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*l*p**3 - 21*l*p**2*v - p**3*v + 5*p**3 wrt v.\nAnswer: -21*l*p**2 - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2283 divided by 54\nAnswer: -761\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 8404 (c) 380\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4 - 0. Let r(w) = 4*w + 29. Let f be r(6). Let h = -37 + f. What is the greatest common factor of j and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 112 = -16*j, -5*j - 1703*i - 35 = -1702*i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 10*x + 204 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 992 (c) -2\/15 (d) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) -10 (b) 25 (c) -2\/9 (d) 1.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/10 - 77919*s\/5 - 6071370561\/10 = 0. What is s?\nAnswer: -77919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609 - 157 - 86 = -23*m - 48*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:26 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/2)\/o)\/o**(-29)*o**(-5\/6)*o*o**(1\/4)\/o assuming o is positive.\nAnswer: o**(359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102321234 (base 5) to base 3.\nAnswer: -210222112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 488, -18, -0.072?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*(12\/9)\/(-2). Suppose -4*c + q = l, -2*c + 1 = -l - 1. Calculate the highest common factor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.00755, 5 in decreasing order.\nAnswer: 5, 0.00755, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021454791 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -6350.\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 33*r**2 - 27*r - 144. Let k(c) be the second derivative of 2*c**4\/3 - 7*c**3\/6 - 18*c**2 - 87*c. Let o(u) = 5*i(u) - 21*k(u). Factor o(q).\nAnswer: -3*(q - 6)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 17486*a - 34968. What is p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 726*d**2 + 2 - 28699*d - 4433*d**2 + 30147*d wrt d.\nAnswer: -7414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -30*y**2 + 93*y + 16. Calculate n(4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 14 - 2. Let q(c) = -c**2 + 8*c - 4. What is q(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*m - 11 - 9, q - 5 = 2*m. Let y(d) = 3*d + q*d + 3 + 5 - 5*d. Let v be y(0). What is the greatest common factor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 6, 26 in decreasing order.\nAnswer: 26, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1\/(-6))*(-360)\/225.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*p**3 + 3 + 136*p**3 + 2*p - 2*p**2 - 275*p**3 as i*p + f + a*p**2 + m*p**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:57 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and 74\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 820716, 1, 4, -2.\nAnswer: -2, 1, 4, 39, 820716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13253031 + -141?\nAnswer: 13252450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = -l - 2, -3*c - 20 = -2*l. Let z(g) = g**3 - 2*g**2 + 2*g - 3. Is z(l) 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 30, 112, 248, 438, 682, 980?\n\"Answer: 27*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 16 + (-1 - 3) - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 1 (c) -0.1 (d) 4\/7 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*n*t**2 - 7*n + 2*t**3 + 2*t**2 + 6*t - 1 wrt t?\nAnswer: 20*n + 12*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894071 - 74619?\nAnswer: 5819452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 37 = 32. Calculate the remainder when 45 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 57*f**2 - 36*f. What is the hundreds digit of c(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htdhshdrrhddthdtdh. Give prob of picking 1 h and 1 r.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61281.32 years?\nAnswer: 6128.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 12*k + 16. Let j be m(13). Let d be 1 - 1 - (-1 - j). Suppose -8*w = -3*w - 10. Solve -3*u + 2*u = -w*z + 6, -8 = -4*z + d*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/17 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028867*-0.4.\nAnswer: 0.0115468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t**2 - 105*t - 1. Let a be s(5). Find the common denominator of a\/(-80)*-1 - 31\/(-155) and -68\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0*h + 2*h - 2 - 3. Let f be j(6). Suppose -3*c + 12 + f = 2*q, -5*q = c - 28. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*o + 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180920623 is divided by 712.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 16*n**2 - 17*n + 16. Let x be b(-17). Let t = -11 - x. Let j = t + 35. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50195.922 to the nearest 10.\nAnswer: 50200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 21 + -5 - (3 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 + 8469*j**2 + 151413*j - 159885 = 0. Calculate j.\nAnswer: -2805, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1, 2\/3, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 111763625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puptptwwppgppggugu. Give prob of sequence pwg.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:43 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from {m: 9, i: 2, u: 2, d: 1, p: 4, x: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 0, -4697*z - 5*k - 33 = -4700*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + n = -24, -5*n - 1 = -3*f + 4. Let p be 0\/(f\/(-1) + -3). Solve -4*z + 0*z = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -4 + -80 + 71440\/656?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*-1)\/sqrt(3) - -4*sqrt(275)*1.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - f**2 + 1. Let c be 0\/(-2)*(-1)\/(-2). Suppose 10 = 2*i - 4*g - c, -2*g - 4 = 0. Let w be d(i). Solve u + 5*s = 10, u - w = -s - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47469 - -105910. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-22)*61\/((-7503)\/(-82)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 317065*p**3 + 5026669240*p**2 + 5026352180*p.\nAnswer: 5*p*(p + 1)*(p + 31706)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*x**4 + 265*x**3 + 291*x**2 - 22*x - 909257 wrt x.\nAnswer: 144*x**2 + 1590*x + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 22\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 115425?\nAnswer: 230850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/180*(-2)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y)**(1\/13))**31*(y\/(y*y**(-3\/2)*y*y)*y*y**5\/y)\/((y\/(y\/y**(1\/3)))\/((y*y*y**(-2\/3))\/y)) assuming y is positive.\nAnswer: y**(599\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2810*a*i - 172767*a - 27*i**2 with respect to i.\nAnswer: 2810*a - 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(9 - 5)*(-2)\/26?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**2 + 0*r**4 + 0*r**5 + 20\/7*r**7 + 1\/3*r**3 + 0*r + 26 + 0*r**6. Find the third derivative of b(g) wrt g.\nAnswer: 2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100112220 - 220?\nAnswer: -100100120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let x(w) = 74*w**2 - 63. Suppose -4 = -112*t + 113*t. Let f(z) = t*s(z) + x(z). What is the derivative of f(g) wrt g?\nAnswer: 164*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*(-6)\/(-27)*((-66)\/(-44))\/((-10)\/40)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -283, -572, -865, -1162, -1463, -1768, -2077?\n\"Answer: -2*l**2 - 283*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1950 and -157\/60?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001101032 (base 4) in base 13?\nAnswer: 157009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1936, -3868, -9672, -15476, -21280, -27084?\n\"Answer: -5804*z + 7740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 = 5*o + 190, 5*o + 360 = 5*s. What is the greatest common divisor of s and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v + 48*v + 42*v - 322*v + 49*v + 46*v + 42*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68406 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 21*a - 11. What is the units digit of f(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.1. Let z be (-5)\/15 + 1\/1. Let d be 0 + (-8)\/2 + 3. What is the nearest to 1 in d, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -2*p + 5, 0 = 3*y + 4*p - 21. Let u(c) = 2*c + 11. Let w(v) = -v - 6. Let b(m) = y*w(m) + 6*u(m). Let k = 5 - 0. Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47229, -47227, -47225, -47223, -47221?\nAnswer: -47219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 + 28*h - 3 as b*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 102*b**3 - 180*b**2 + 12408*b - 23232 = 0?\nAnswer: -22, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-9)\/(-3) - 2). What is the second smallest value in -0.4, 4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 562 (b) 5 (c) -2 (d) -10 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21812 + -21803. Which is the closest to h? (a) 0.1 (b) -23 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 8*j = 5*q - 68, -269 = -3*j - 2*q. What is the remainder when j is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*d = -1717*d - 35853 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2327, 4656, 6985, 9314, 11643, 13972?\nAnswer: 16301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1. Suppose 10 = -3*k + 4. Let y be (0 - 1)*(-1 - k). What is the closest to y in 3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100000111101 + -101011?\nAnswer: 110100000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 2, s: 1}. Give prob of picking 1 s and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 268\/(-6)) + (-121)\/(-363). Calculate the highest common divisor of y and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.197, 3, 4?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqppspphsspp. Give prob of picking 1 p and 1 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:50 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:48 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30665359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/3 + (-356)\/(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + h, h + 4 = 5*s - 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 441*k**2 - 3.\nAnswer: 441*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*v - 1, b + 7 + 2 = 3*v. Let y(a) = 5*a**2 + a - 4. Let q be (-1 + 0)\/((-1)\/(-1)). Let x(t) = -t**2. Let n(u) = q*y(u) - 4*x(u). What is n(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/3)\/((3 + -6)\/(-27)). Suppose -2699 = -n*c + 616. What are the prime factors of c?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**5\/30 - 7*d**3\/3 - 10*d**2 + 11. Let u(a) be the second derivative of o(a). Find the first derivative of u(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53\/3 + 259\/15. What is the nearest to -0.5 in -1, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403277 rounded to the nearest 1000?\nAnswer: -403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 15*u - 81\/2.\nAnswer: -(u + 3)*(u + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 1791.\nAnswer: -118206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 42716?\nAnswer: 213580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 427724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 + h. Let u be s(-1). Let m = -23 + u. Suppose 84*y + 1534 = -34*y. Is m >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.05. Let m = -0.4 - 1.6. Which is the second smallest value? (a) -0.2 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from ffffffxffxff.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351.9 nanoseconds in seconds?\nAnswer: 0.0000043519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332 + 10?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -402 times -1418618\nAnswer: 570284436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + 6 + (-13)\/2. Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, f: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/5736, 889?\nAnswer: -1\/5736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 + -159. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**4 + 30 + 7*d**4 + 11*d**4 wrt d.\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 564*s - 2*s**3 + 247*s + 23*s**2 + 316*s to the form u + k*s + d*s**2 + p*s**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:27 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -1, 532, -3, -3\/5 in descending order.\nAnswer: 532, 5, -0.3, -3\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 3*a - 3*a**3 + 4*a**3 - 2 to b + j*a**3 + v*a + d*a**2 and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:55 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126, 287, 448, 609, 770?\n\"Answer: 161*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7249 + -3.7. Let l = f - 4.0249. What is the second smallest value in l, 12.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -1, 73\/5, 0.177, 0 in ascending order.\nAnswer: -1, 0, 0.177, 73\/5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b - 2*b + 2*x, -1 = -b + x. What is the units digit of (-8)\/(-4) + b + 2 + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -919 from 9.\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.533 + -5.533. Put -1\/4, h, 0.3, -2\/3, -4 in increasing order.\nAnswer: -4, h, -2\/3, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p**3 + 13*p**2 + 11*p + 28. Let l(g) = -7*g**3 + 6*g**2 + 5*g + 14. Let t = 20323 - 20317. Give t*f(n) - 13*l(n).\nAnswer: n**3 + n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60537 - 172465 = -1513*g for g.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h - 400 = -88*h + 191*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let f(c) be the second derivative of c**3 + 5*c - 10*c + 0*c + 0*c. Calculate n(f(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2141 or -892?\nAnswer: -2141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2. Let s(k) = -1831*k**2. What is s(x(z))?\nAnswer: -65916*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 128716248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.13, -0.5, 3, 0.7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/172 and -41\/13158.\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:39 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -230301 (base 4) in base 13?\nAnswer: -13c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose v = 5*a + 3*h + 12, -3*a + 0*h = 5*h + 4. Is 18 a factor of 122\/(a - (-10)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 5*g - 46959, -3*g + 1507 + 26702 = -3*c. Let x be 15834\/10 + 4\/(-10). Suppose -4*j + g = x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36642546*k**2*n - k*n + 11*k + n - 99536 wrt k.\nAnswer: 73285092*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 4:44 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72.85 + 69. Let d = n + -0.15. Is d at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 2*v + 6*v)*(-v + 10*v - v) + 4*v**2 + 23 - 23.\nAnswer: 148*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - a + 14, u + 2*u + 4*a = 31. Solve 5*s + 14 = 3*c, -2 = u*s - 2*c + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/6 + 1369*d**4\/6 - 11*d**3\/2 - 45185*d**2\/6 - 5356*d\/3 + 54760 = 0.\nAnswer: -1369, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -126.8. Let i = -11.197 + t. Round i to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fleejrkl. Give prob of sequence kjee.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/15 - 7864*j**2\/3 - 64406158*j\/5 + 128864748\/5 = 0 for j.\nAnswer: -9831, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*(-27)\/(702\/52)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -80, 1, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 3*d**2 - 3*d. Let k be j(-4). Put -45, 1, k, 0 in decreasing order.\nAnswer: 1, 0, k, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*q**3*y**3 - 2236*q**3*y**2 - 2*q**3 - 477*q**2*y**3 + 2*q**2*y + 3*q wrt y.\nAnswer: -408*q**3 - 2862*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000471812 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(4\/5)*o*o*o**(-3)*o)\/((o**(-10\/9)\/o)\/(o\/(o*(o\/o**(-6))\/o*o*o))))**21 assuming o is positive.\nAnswer: o**(-1477\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111001 + 100101000?\nAnswer: 11100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - (-2)\/1)\/((-1)\/5). Let t be (-1)\/(-3)*o\/(-5). What is the common denominator of -89\/15 and t + 0 - (-138)\/30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 3 (b) -0.024 (c) 6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336200557 is divided by 5119?\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1477\/3 + -492. Which is the nearest to 2? (a) -1\/4 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 + c + 9. Let f be g(0). Suppose -5*n + f + 46 = 0. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + 27\/(-5))\/((-13)\/65) - 1*-5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/19)\/s*s*s)*s**21)\/(s**(-19)\/s**(9\/5)) assuming s is positive.\nAnswer: s**(3976\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117349 (base 11) to base 12.\nAnswer: 8b381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1209 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 115799712.\nAnswer: -1\/28949928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 329, 602, 705, 554, 65, -846, -2263?\n\"Answer: -14*l**3 - l**2 + 374*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -14*d - 108 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(220\/275)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 136. Is 12 a factor of y(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + (550\/(-10))\/(8\/(72\/(-45)))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 3*s + 5, -3 = -l + s. Solve l*u - 4 = -0*u - t, -4*u + 20 = -4*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15011.6*-11.\nAnswer: 165127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 0 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51418764 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 33.46. Let b = -525 - -524.322. Let z = p - b. Round z to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 20. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 183\/21. Let q be 1 + (-1 - 12\/r). Let i = -25 - -29. Which is the closest to -0.2? (a) q (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(500)*-4)\/(6*((sqrt(100) - sqrt(100)*3 - sqrt(100)) + sqrt(100) + sqrt(100))).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 27*k + 84 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t - 4. Let u be (-5)\/(-2) + 1\/2. Suppose -u*a = 4*i - 2, 6*i - 2*i = a + 26. What is the units digit of g(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1890 and 6118686?\nAnswer: 30593430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j + 4*j**2 - 43*j + 2*j**3 - 49 + 38*j - 3*j**2 = 0.\nAnswer: -7, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbzddzzbdzsdd. Give prob of sequence sdz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 17, -44, -5 in descending order.\nAnswer: 17, -0.2, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 300, 2258, 7502, 17664, 34376, 59270, 93978?\n\"Answer: 272*m**3 + 11*m**2 + 21*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*l**3 + 158*l**3 - 59*l**3 + (3 - 3 - l)*(-2*l**2 - 2*l + 2*l).\nAnswer: 49*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 9. Let w be j(-6). Let f be 12\/36 + (-35)\/w. Suppose -2*s = -s - f. Sort -1, -3, s in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.744 + -0.844. Suppose 2*d + 5*z = 1107, -d - d + 3*z + 1115 = 0. Let x be 6\/27 - d\/72. Which is the closest to u? (a) 1\/4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51197109 is divided by 3326.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:43 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 28 + 35 + (0 - 4 - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/((-95)\/344). Let o = c - 2\/19. Factor o*b - 2\/5 - 2\/5*b**2.\nAnswer: -2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3\/7 + 1144*w**2\/7 - 5844*w\/7 - 6984\/7 = 0.\nAnswer: -291, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, 1648, 4439, 7230, 10021?\nAnswer: 12812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*w - 17 = 0, 3*i - 33 = -158*w + 155*w. Solve -24\/7*o**2 - 2\/7*o**i - 8\/7*o - 12\/7*o**4 + 0 - 26\/7*o**3 = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 52 = 0. Let x be 1 + (-6)\/4 + (-14)\/h. Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j**3 + 7*j**2 - 7*j**2.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1852, 7647, 17372, 31027?\nAnswer: 48612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 11*m**6\/40 + m**5\/10 - 61*m**3 + 254*m**2. Differentiate i(w) wrt w.\nAnswer: 99*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f + 27*f + 16*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 379 = 169*c + 77. Let s(p) = 2*p - 6. Let d be s(6). Find the third derivative of c*q**3 - 13*q**2 - 2*q**3 + 33*q**6 - 6*q**d wrt q.\nAnswer: 3240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-116)\/2 - 1. Suppose -d = -6*j + 26. Suppose -3*n = -n - 4*x - j, 0 = -2*n + 3*x + 12. Solve l - n*t = 15, -2*l - 4*t = 2*l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m - 3. Let v(o) = 3*o + 2. Let j(h) = 4*q(h) + 6*v(h). Let l be j(1). Find the second derivative of 7*y**2 - y - 7*y**l + 3*y**3 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 11}. What is prob of sequence kccc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 25*t + 98 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3962200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -271*w - 190*w - 237*w + 13262 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1. Let r(w) = -14*w**2 - 35. Let p(s) = 35*l(s) - r(s). Let g(v) = -3*v**2. Calculate g(p(t)).\nAnswer: -588*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - -11) + 98 + 0 + -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (-1 + sqrt(112))**2 - (-3 + -6*(sqrt(112) + -1)).\nAnswer: 16*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 3*l. Let q(t) = -9*t**2 - 7*t. Let y(z) = 14*i(z) + 6*q(z). Let s(r) be the second derivative of 5*r**3\/6 + r. Give y(s(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 450 - 447. Let s = 7 + -12. Let q be 4\/10 + (-18)\/s. Which is the closest to -1? (a) d (b) q (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 194711 and 5.\nAnswer: 194716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1.9.\nAnswer: -1.9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + -5 - sqrt(13))**2*1.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/32 - 71\/224. What is the closest to -7\/5 in 2\/3, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3776 - -0.3776. What is the nearest to r in -86\/3, 0.5, -5\/4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 12. What is d(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 884420981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, -6 in ascending order.\nAnswer: -10, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let g = f - -4. Suppose j - t = -4, -2*j - j = g*t - 12. Which is smaller: j or 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/54617 and -83\/64254.\nAnswer: 3509360718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -622?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01049 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6828 and 6831 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1076 and 52993?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46746.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v + 12*v - 18*v + 7*v + 31*v + 7*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g**24)\/g))\/g*g)**(-1\/8)\/(((g**(-6)\/g)\/g)\/g)**(2\/39))**15 assuming g is positive.\nAnswer: g**(5205\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 6. Let r(l) = l - 5. Let h be r(5). Let f(x) = x - 8. Let o be f(h). List the prime factors of u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -324175 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = u - 5*q + 1, 2*u - 3*q - 25 = 0. Which is the third biggest value? (a) u (b) 0.06 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 53.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3502370 is divided by 120771?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 2. Give w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*v**2 + 62*v**2 - 2*v**2 + v**2.\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q - 17. Let u(n) = -7*n - 2. Let b(v) = 3*v. Let t(f) = 6*b(f) + 3*u(f). What is 6*h(m) - 17*t(m)?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20384*m + 991. List the prime factors of v(-1).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3499 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5096, -10191, -15286, -20381, -25476?\n\"Answer: -5095*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p. Let f be l(1). Let t = f + 5. Calculate the common denominator of -47\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((1 - 0) + (6 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + ((-4)\/(-4) - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31150466 to the power of 1\/2, to the nearest integer?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1965)\/75 + (-2)\/(-10). Let f = 35 + k. Put -1, f, 5 in descending order.\nAnswer: f, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + 0 + 3 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (18 - 10)) + 10 - (1 + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*12*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -27. Let o(l) = -5*l + 3*l - l + r. Let d be (2 - -1)*(-8)\/3. Let h(w) = w - 5. Calculate d*h(z) - 3*o(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d**4 - 1\/120*d**6 + 0*d + 0*d**3 + 43\/20*d**5 - 52*d**2 + 0. What is the third derivative of t(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/9 - 794612*m**2\/9 + 12714274*m\/9 - 3973220\/3 = 0. What is m?\nAnswer: -397322, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100860459 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-7 + 1 + 3). Let m be -9*k\/(-15) - (-14)\/10. Let t(q) = -3*q + 2. Calculate t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1140406789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*p**2 + 29 - 23*p**2 - 56*p + 4*p**2 + 55*p to d*p**2 + k + w*p and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 6*l + 2. Let f be r(6). Suppose 2*u - f = 2. Suppose 20 = 3*w + u*w. Solve w*n = 3*m - 7, m - 9 = 2*n + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 147\/315 + (144\/(-30) - -4). Sort 76, 5, z in ascending order.\nAnswer: z, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 - 38140*j**3 - 76286*j**2 - 38144*j = 0 for j.\nAnswer: -1, 0, 19072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402068198 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:02 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 6*p**2 - 35*p + 99. Calculate l(-6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 2. Suppose -2*d = 3*d - 10. Let m be v(d). Calculate the highest common factor of m and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**7\/70 + m**6\/40 + m**5\/10 - 7*m**2\/2 + 1. Let p(v) be the second derivative of h(v). Solve p(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1558 from 1.\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0*q**3 - 7*q + 8*q - q**3 - 3*q**3 - q**2 + 2. Let u be w(-1). Solve -3*n - u = -n, 3*p - 3*n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca (base 16) to base 5.\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299.708 - -300. What is x rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 2*p)*(p**4 + 2*p**4 - p**4) - 2*p**5 - 6*p**5 - 3*p**5 + 2*p**5 - 3 + 3.\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*l + 16. Let r(j) = l*j + j + 10*j. Let u(i) = 3*i**2 + 12*i + 44. Let t(q) = 5*q**2 + 21*q + 77. Let v(p) = 4*t(p) - 7*u(p). Give r(v(x)).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 76. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1400, 4, -81 in ascending order.\nAnswer: -1400, -81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5 - 250608*m**4 + 39901*m + 4 wrt m?\nAnswer: 60*m**3 - 3007296*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 748 - 7b?\nAnswer: 6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1760963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5419 (b) -2 (c) -3 (d) -4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from wcwcpceccpekekpwwc.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(16\/140)*-4?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35842248 divided by -69732?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011110010000 - -100000011001?\nAnswer: -100110111101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.135 (b) 5 (c) 2\/37 (d) -2\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/22776 and -67\/287547?\nAnswer: 2300376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5\/2 + 129*y**4\/2 + 20367*y**3\/2 + 19707*y**2\/2 - 40710*y - 40446 = 0?\nAnswer: -63, -2, -1, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 35*u - 20. Let x be ((-5)\/6)\/((-4)\/24 + 0). Let m be q(x). Solve m*p - 1 = w - 3, -6 = -3*p - 3*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58686528 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 15. Let q = -24 + 60. Suppose 8*x - k*x = q. What is the greatest common divisor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2616237*i**2*w**2 - i**2*w - 148033088*i**2 + 29*i*w with respect to w.\nAnswer: -5232474*i**2*w - i**2 + 29*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose -8 = 3*c - x. Is (-607)\/c + 1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9757206.\nAnswer: 2, 3, 101, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-119)\/30)*5\/(-20)*-1*50.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**5\/60 - 3*x**4\/8 + x**3\/2 - 7*x**2\/2 - 30. Let u(q) be the second derivative of m(q). Determine u(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-7\/6)*j**(-10\/3) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3279 (c) 25 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 8*k = 20*k - 282 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a**4*l**2 + 52*a**2*l**2 + 3*a*l**2 - 2*a - 2*l**2 - 1154*l wrt a.\nAnswer: -108*a**2*l**2 + 104*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-28)\/(-2) - 3). Let t = 8 + a. Suppose 0 = 3*x - 4*i - 12, 3*x - 12 = -2*i - t*i. Solve -5*v = -x*v, r = -v - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**4\/13 - 356900*y**3\/13 - 7849472*y**2\/13 - 34248000*y\/13 + 102749184\/13 = 0.\nAnswer: -178384\/3, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 + 48*y - 238 = 0.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*m**4 - 2*m**2 + 4 - m - 23*m**4 - 15*m**4 as u*m**3 + h*m**4 + y*m**2 + a*m + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:27 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 21162. Let i(t) = -6*t + 31695. Determine 5*i(u) + 8*l(u).\nAnswer: 2*u - 10821","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(42)\/(sqrt(12)\/sqrt(2) + sqrt(6)) + ((sqrt(42)*1)\/sqrt(6))**2.\nAnswer: 3*sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 64. Let b = p - 40.028. Let q = -0.02799987 - b. What is q rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**48*g\/g**(-10)*(g\/(g\/(g*g**(-22\/7)\/g))*g)\/(g\/g**(1\/4)*g))**(-23) assuming g is positive.\nAnswer: g**(-36133\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5763, 1\/8, -1\/4, 4\/5, 1 in decreasing order.\nAnswer: 1, 4\/5, 1\/8, -1\/4, -5763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12 - 1)\/((-12)\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30646 + 6?\nAnswer: -30640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/(-56) + 142\/(-8). Let m = 18 + 5. Let k = m + g. Calculate the least common multiple of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -65*k**2 - 6*k - 21. Let y(w) = -16*w**2 - 2*w - 5. Let f(d) = 2*r(d) - 9*y(d). List the prime factors of f(-4).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-28) + (-42)\/(-8). Suppose -8*h + 4*h = 3*d - 2516, 4*h - 2516 = l*d. What are the prime factors of h?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19210 + -19026. Solve 183*q = z*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 6*l**2 - 2*l - 11. Give j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b663b8 - -3?\nAnswer: 12b663bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 12 = 2*l, 21*l - 20*l + 3*g = -1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0) + (151 - 15)\/8. Let j = 0.9 + 0.1. What is the smallest value in -2, y, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7886 is divided by 7786?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 28\/9 (b) 3 (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:03 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.991 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/48 + j**3\/24 - j**2\/4 - 4*j. Find f, given that b(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466395\/(-15555) + (-30)\/1830?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:20 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let g(u) = 8*u**2 + 9*u**2 + 7*u**2 - 27*u**2. What is g(y(p))?\nAnswer: -75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 2737.\nAnswer: -2736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**12)**(-7\/6))**(-13) assuming y is positive.\nAnswer: y**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**3 + 59*l**3 - 12*l**3 + 1 - 1 + l**3 + (0*l + 0*l - 2*l)*(l**2 + 0*l + 0*l) + 3*l**3 + 4*l**3 - 5*l**3 - 115*l**2 - 18*l**3 + 115*l**2.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 279?\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2867 = 27*k + 2138. Solve -12*o = -2*q - 7*o + 10, -3*q = 3*o + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 292 + -289. Solve 0 = f + f - c*m - 2, f = -5*m + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 4\/13, 1, 3\/4, 2, 0.37?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -68. Let r = 91 + s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1500, -0.07, 2\/229 in descending order.\nAnswer: 1500, 2\/229, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*i**4 + 0*i - 3\/5*i**5 + 0*i**3 + 0*i**2.\nAnswer: -3*i**4*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-15) - 5\/25. Let v(t) = 54*t**2 + 2. Let r be v(s). Suppose 0*p - r = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -98, -93, -86, -77, -66?\n\"Answer: c**2 + 2*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 320?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 7*u**2 + 8*u + 5. Let q = -18 - -58. Suppose 4*y - 9*y = q. Let r be j(y). Solve -3*v = -r*z - 0 + 3, 0 = 2*z + 2*v - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -3 + (-3 - -2). Let d(v) = -v + 2. Determine d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46764 and 2523524?\nAnswer: 68135148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 8) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16132 by 218.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3624 (base 7) to base 11.\nAnswer: -100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18282 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28 and ((-1)\/10)\/(4\/610)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 4, -5683, 3 in ascending order.\nAnswer: -5683, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**4\/14 + 726*y**3\/7 + 99369*y**2\/7 + 196566*y\/7 + 4400. Factor a(m).\nAnswer: 6*(m + 1)*(m + 181)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48530508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.448 - 1.038. Let u = 0.317 + -0.027. Let t = u + r. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*g - 25, -3*g - 2 = 4*s + 13. Let x(q) = -5*q + 1 + q**2 + 4*q + 2*q. Give x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, o: 1, q: 5}. What is prob of sequence qo?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15725 (base 8) to base 2.\nAnswer: 1101111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 34) + (6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -3, -9013 in descending order.\nAnswer: -1, -3, -8, -9013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.461 minus 0.2?\nAnswer: -0.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - 7*p + 1 - 4*p as i + u*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1366267660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - -13 - -5) + -25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -9\/2*f**2 - 2 + 0*f**3 - 1\/12*f**4 + 10*f. Calculate n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, 0, 105, 270, 507, 828, 1245?\n\"Answer: 2*d**3 + 12*d**2 + 7*d - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5626)\/5)\/(70\/(-175)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 4692*l = 0. What is l?\nAnswer: -1564, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162713591.\nAnswer: 541, 5846051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 2, c: 12, u: 1}. Give prob of sequence uhc.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515*t - 7805 = -36590 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2290200.232.\nAnswer: 2290197.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 36790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-17))\/(r\/(r*r*r\/r**(2\/33)*r*r)))\/(r*(r\/r**(-2\/7))\/r)**(-30))**(-1\/5) assuming r is positive.\nAnswer: r**(-14209\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/14)\/(v*(v\/(v*v**(-10\/11)))\/v*v)*(v**(-8))**(-19) assuming v is positive.\nAnswer: v**(23125\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 - 2*v**2 + 1\/12*v**4 + 1\/30*v**5 + 0*v**3 + 0*v. What is the second derivative of g(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {g: 4, v: 1, x: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*s**3 - 34*s**3 + 18*s**3 + 5*s**2 as k*s**2 + r + q*s**3 + d*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 12*s - 288\/5.\nAnswer: -2*(s - 24)*(s - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/60 + 2*a**3\/3 + 3*a**2\/2 + 3*a. Let h(i) be the first derivative of r(i). Find the first derivative of h(u) wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f + 2*k, 4*k - 65 + 71 = -5*f. Which is the nearest to -1? (a) f (b) 2\/5 (c) -13 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 8*p + 37*p + 61*p.\nAnswer: 77*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**3 + 2*z**2 - 2*z + 1. Let o be f(1). Suppose -6*c + 4 = -4*c. Let u be (2 + -1)\/(c\/o). Solve -r + 2*r = -3*w + 7, -4*w - 5*r = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)*p**(2\/75))\/((p*p\/p**26)\/p*p*p*p**(3\/7)) assuming p is positive.\nAnswer: p**(226466\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + (261\/12 - (-26)\/104)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 15*f + 21. Let k be d(13). Sort 0, -4, k, 3 in descending order.\nAnswer: 3, 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Suppose -9 = -5*x + 16. Suppose 2*j = 3*j + h + 3, -x*h = f*j + 17. Calculate the remainder when 1 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-70))\/(54777\/35340)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*s + 26398 = 74446 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007684086973 to seven dps.\nAnswer: -0.0007684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5.8. Let n = -58.17 + 1.17. Let p = -61 - n. What is the closest to -0.1 in p, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 174976928?\nAnswer: 174976928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19375 + -2118. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948 divided by 54879?\nAnswer: -316\/18293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/(-648))\/((-7)\/(-84)*6)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6441050 and 117\/1171100.\nAnswer: 12882100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -21, 2, 41, 102?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1904 + 184 = 2*v. Suppose u = 3*w - v, -5*w - 5*u + 1740 = -0*w. Let m = 501 - w. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-12))\/(13\/(-104)). Put -0.3, g, -1 in ascending order.\nAnswer: g, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + -8 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/7 (c) -26.5 (d) 73 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 15*h**2 + 8*h + 6. Let y be n(-7). Let a be y - (18\/(-10))\/1. Suppose 32\/5*r + 64\/5 + a*r**2 = 0. Calculate r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k - 76. Let t be v(9). Is ((-498)\/(-8))\/((-3)\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1636*j - 4*j**2 - 2*j**3 - 21*j**4 + 1647*j - 3285*j in the form q*j + k*j**2 + l + s*j**3 + m*j**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 - 7*k + 13. Let a be g(4). Let c = 2 + a. Let u be (2 - 0) + c + -11. Calculate the highest common factor of u and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 13 - 5 + 12*z - 35*z wrt z?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 7 in descending order.\nAnswer: 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 + 2 = 5*l, -3*k - l + 12 = 0. Suppose -5*x - 3 = -3*x + n, 25 = -5*n. Which is the third smallest value? (a) 0.3 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 17*j - 45. Calculate f(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*k = 0. Let l = -34 + 32. Is k smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.54 in 3, -7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = r - 31, -4*x + 4*r = -31 - 25. What is the second derivative of -10*y**3 + 43*y - 8*y**3 - 10*y - x*y wrt y?\nAnswer: -108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 + 5*h - 3. Let c(k) = -5*k**2 + 6*k - 3. Give -3*c(p) + 4*o(p).\nAnswer: -5*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 7*w**3 - 1098*w + 548*w + 550*w as i*w**3 + u*w**2 + x*w + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*b**3 - 155*b**3 + 307*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2025*q + 574*q = 1355*q - 600*q + 194128 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 9)*(2 + 3 - 11)*(-23*a - 26*a + 38*a) in the form x + o*a and give o.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a - 9. Calculate m(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1924 and 861360?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*1) + 1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let k(t) = -3*t - 4. Let z(i) = 24*i + 33. Let a = -8 + 13. Let l(w) = -6*w - 3. Let p be l(a). Let u(f) = p*k(f) - 4*z(f). Give u(n(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 7. Suppose 0*r - 2*r + 39 = 5*k, 33 = 4*r + k. What are the prime factors of x(r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 0 - 207\/(-23). Let w(t) = 13*t**3 - 4*t**2 - 13*t + 6. Let a(s) = 7*s**3 - 2*s**2 - 7*s + 3. Let u(l) = -11*a(l) + 6*w(l). Determine u(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3137*r**3 + 3*r - 3. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 83838*y**2 + 877384368*y - 25514703208.\nAnswer: 2*(y - 29)*(y + 20974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*i - 5*i. Let v be (i - 4)\/(2\/6). Find the common denominator of -34\/9 and (1710\/(-100))\/(v\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 4 - 13) + -9 + -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 3 (c) -2648.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 142*j**3 - j**2 + 3*j - 8. Let t(d) = -14*d**3 - d + 1. Calculate -4*t(w) - x(w).\nAnswer: -86*w**3 + w**2 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1105 + -63?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -524906460 rounded to the nearest 100000?\nAnswer: -524900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 11*u**2 - 9*u - 5. Let n be o(10). Suppose -5*w = 2*d - 75, n*d - 75 = -5*w + 4*d. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*h**2 - 95*h - 38202 + 38142 - 3*h**3 - 2*h**3.\nAnswer: -5*(h + 1)*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101 (base 2) in base 16?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(28) - (sqrt(28) + 3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(27))\/sqrt(9) - sqrt(30)\/sqrt(250).\nAnswer: -11*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686654769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghxgxxghhxhhh. Give prob of picking 1 g and 3 h.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9219, -18441, -27663, -36885, -46107, -55329?\nAnswer: -64551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 72*g + 1625000. What is g rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3000) + sqrt(30))*1*6)\/(sqrt(10) - (3*sqrt(80) - sqrt(80))\/sqrt(8) - (sqrt(160)\/sqrt(8))\/sqrt(2)).\nAnswer: -63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4064 minus 150.6?\nAnswer: -4214.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 3*z**2 - 5*z. Let b be f(2). Let g = b - -90. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/10 + 393\/(-20)*(163 + -215)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*n - 22 = 0, 5*n = -f - 2 - 16. Let w(b) = -5*b**2 + 8*b**2 - f*b**2. Let z(x) = 5*x**2 - 8*x**2 - 6*x**2 - 21*x**2. Calculate w(z(q)).\nAnswer: 900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:11 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13271.2063 - -13270. Round n to two dps.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n - 309*n = 416*n - 21*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/72*2\/(-10). Which is the third smallest value? (a) -6\/7 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/5 + (-4)\/10)*(-3)\/(-12). Let m(k) = -k**3 + 3*k**2 + 6*k - 4. Let p be m(4). Let c = 0.4 + -0.4. What is the third biggest value in n, 1, p, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 67, -0.2, 335?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/36 and 35\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 189592.8 tonnes in kilograms?\nAnswer: 189592800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273 - -275. Suppose 3*z + 12 = g - 2*g, r*g - 6 = 4*z. What is the second biggest value in -2, -0.5, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 7. Let x(c) be the third derivative of -c**3\/6 + 7*c**2 + 4*c + 3. Determine 4*x(w) + y(w).\nAnswer: 5*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-52) - 21861\/(-117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27081 + -2?\nAnswer: 27078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.4 + -15. Let s = -20 + 25. Let r be ((-16)\/(-64))\/(3\/(-4)). What is the closest to r in k, 11, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0 + (3*m + 4*m - 4*m)*(-2 + 6 - 2))*(430 + 51 - 215).\nAnswer: 2128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197*p**2*v**3 + 2*p**2*v**2 + 28137*p**2 - 287*p*v + 5579*v**3 wrt v?\nAnswer: 1182*p**2*v + 4*p**2 + 33474*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2625 and 1818475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**2 - g + 3*g**3 - 2*g**2)*(-4*g + 6 - 6).\nAnswer: -8*g**4 + 12*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.18 (b) -0.5 (c) 9 (d) -0.03 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*l - 396 - 542 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37215379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 48 = 64. Suppose -h + 3*h + 8 = 0. Let u = h + v. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 960\/(-1080)*(-2)\/((-8)\/3). Let v = -1 + 0.9. Let o be (-6)\/9 + 10\/18. What is the nearest to -1 in v, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251865737 divided by 907\nAnswer: 277691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from yvyvvvvvvvvvvvvvvv.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(-4)*o)\/o)*o**7\/o*o\/o**(-4)*o\/(o**4*o))**(-1\/10))**(19\/2) assuming o is positive.\nAnswer: o**(-209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from ppfypydpyyypfyyfp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*x - 5771 - 146 = 0 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 100 + 739 = -s, 0 = 2*p + s - 315. Calculate the remainder when p is divided by (-2)\/(1 + 1)*-23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 + 226.8. Let j be (4\/8)\/((-7)\/124). Let h = -60\/7 - j. Which is the third smallest value? (a) h (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 2}. What is prob of sequence hmh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 68752.59 to the nearest one hundred.\nAnswer: 68800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 8 = -6*v - 1, 49*v - 50*v = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**5 + 1\/24*b**4 + 0*b**3 + 0*b**6 + 0 - 6*b**2 + 0*b + 0*b**7 + 5\/168*b**8. Find the second derivative of t(v) wrt v.\nAnswer: 200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 2035.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from {p: 2, c: 5, h: 8}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13631 (base 8) to base 9.\nAnswer: 8252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n + 50. Let d(o) = 13*o - 50. Let m(z) = 8*d(z) + 7*t(z). Calculate m(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 2:41 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2413096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*t - 20 = 0, 0*r = 4*r + 3*t - 15. Solve 3*x - 5*x - 5*y = r, 2*x - 2*y = 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-992)\/(-3))\/8 + 2\/(-6). Suppose 2*o - o + c = 0. Let w = o - -43. Solve w*m + 8 = 4*l, l = -3*m + 5*l - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let b = 7 - 3. Let c = -5.7 + 6. What is the third biggest value in c, b, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:13 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18564*q**4 + 16546?\nAnswer: 74256*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2, -926 in descending order.\nAnswer: -4\/7, -2, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25. Suppose v + j*v - 20 = 0. What is the third derivative of -11*y**5 + v*y**2 - 13*y**2 + 7*y**3 - 7*y**3 wrt y?\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - i)*(4*i - 6*i + i) + 285*i**2 + 65*i**2 + 1038*i**2 to y*i + g*i**2 + j and give g.\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 + 0*s**2 + 0*s**2)*(5*s + s - 4*s) - 2 + 2 - 2*s**3 in the form r*s + c*s**3 + f*s**2 + z and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 69*k**2 - 200*k - 140. Let l be w(-66). Which is the third smallest value? (a) 2 (b) -4\/3 (c) -0.26 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 17 = -14*c - 4*a, c + 5*a = 24. Let y = 3.3 + -3.5. Sort -0.08, c, y in decreasing order.\nAnswer: -0.08, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -5920\nAnswer: -19\/5920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28*n. Let c be h(-1). Suppose 3*y - 5*g + 4*g + 2 = 0, c = 3*y + 5*g. Solve -y = -v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -92 - -85 - 20\/(-5). Which is the closest to 0.1? (a) 1 (b) -1 (c) 302 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, r: 2, j: 3, s: 1, m: 6}. What is prob of picking 1 r and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (7\/(-4))\/1 and 108\/(-24) - 6\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/5 - -30)*23 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100 + -511?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84106 divided by -42053.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)\/((-6)\/3). Suppose -4*j = -p*j. Solve 4*y - 2*y = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + sqrt(243))*5 - sqrt(243)))**2*1.\nAnswer: -9000*sqrt(3) + 97825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 112\/63)\/(2\/(-36)). Let h be (2\/(-3))\/(2\/(-3)). Let o = -11 + 8. Sort h, o, d in increasing order.\nAnswer: o, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*184.13\nAnswer: 2025.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:32 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-21 + (29 - 27)) - 62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -5\/7, 0.03, -4, 24, -0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69460 is divided by 23153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 359*f**2 + 1293*f - 1953. Determine g(116).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1933 = -y + 2434. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 19. What is the least common multiple of m and 31?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -16.12\nAnswer: -16.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 51?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*b - 165, -3*b - 2*y + 280 = -7*y. Suppose 4*c + b = 5*z - c, 5*z - 3*c - 83 = 0. Suppose 12*a = z*a - 780. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 44*r**2 + 39*r**2 - 71*r**2.\nAnswer: -3*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -4.7. Let z = -12 - -11. Let i = 2247 - 2248. Which is the closest to i? (a) z (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w**2 - 223*w + 187. Determine o(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24383 + -150474?\nAnswer: -125081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39581 + 39584. Factor 9\/4*k**4 + 3\/4*k**3 + 0 - c*k**2 + 0*k.\nAnswer: 3*k**2*(k - 1)*(3*k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 + 1. Let t be y(1). Let o(p) = -190*p**2 + 6*p - 3. Let c(k) = -569*k**2 + 18*k - 8. Let d(q) = -6*c(q) + 17*o(q). Is d(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(-1 + 0 + sqrt(425)*2 + 2)*-3)**2.\nAnswer: 360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 94430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/f**8))*f)\/f**(2\/13))**(3\/19) assuming f is positive.\nAnswer: f**(-279\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1202\/9, -333 in decreasing order.\nAnswer: 1202\/9, -4, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1358 divided by -7.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c + 108. Let w be (c - 0\/(-3))\/(-1). Suppose -4 = 2*r + 2, 0 = -k - 5*r + w. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21107387 is divided by 523?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -40*i + 122. Let k be n(3). Solve -k*f + 2*w - 13 = 3*w, w = 3*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/11))\/(i**(-4)*i) assuming i is positive.\nAnswer: i**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480520867 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p - 16 = -124*p. Which is the closest to -0.2? (a) -5 (b) p (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -2296.\nAnswer: 25\/2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.963762 rounded to two decimal places?\nAnswer: -886.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a**3 + 2*a + 1. What is the units digit of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + c - 23, 13*o = 15*o - 3*c - 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*y + 148, y - 4*y = -3*h - 267. What is the smallest common multiple of 192 and y?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 114.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from mnyndnmmmdmmfnnnmny.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1933 + -1904. Let p be (-356)\/(-10) + (-2)\/(-5). Let m = p - z. Calculate the remainder when 34 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((208\/(-13))\/(-8))\/(2\/34).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 - -0.58. Let n = 0.34 + z. Let m = -7 - -4. Sort m, 2\/13, n in descending order.\nAnswer: n, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.042? (a) 0.2 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:22 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smmk when four letters picked without replacement from kiiksmkskysm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 6:18 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 478647415 to the power of 1\/2, to the nearest integer?\nAnswer: 21878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -21*i**2 + 2*i + 3. Let o(l) = -42*l**2 + 5*l + 7. What is -2*o(a) + 5*u(a)?\nAnswer: -21*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171810 divided by -5?\nAnswer: -34362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 14*i - 13. Calculate the least common multiple of b(12) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*a - 399 = 129, a = 4*z - 436. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 + 17*q**4\/12 + 35*q**3\/3 + 202*q**2. Calculate the remainder when m(28) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/((-4)\/192*-8). Put l, -5, 5 in increasing order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, 1.2, -8, -0.4, 1\/4, 1, 334.5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223.5 - 248. Let y = 24.7 + g. Which is the third smallest value? (a) 3\/4 (b) 3 (c) y (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 72*z**2 + 570*z + 1444.\nAnswer: 2*(z - 19)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.099 + -68.099. Let x = 67.9999934 + l. What is x rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 29 = -4*u - 9, -t - 2 + 4 = 3*u - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14075, -14070, -14063, -14054, -14043, -14030?\nAnswer: -14015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221330 (base 5) to base 12.\nAnswer: -1a671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 5:01 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:31 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y)*(0*y + 6*y + 2 - 5*y).\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.018 rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-28))\/((108\/(-24))\/1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042868 rounded to seven dps?\nAnswer: -0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i*i)\/i)**(1\/26)*(i\/(i**(-10\/7)\/i)*i)\/(i**12*i) assuming i is positive.\nAnswer: i**(-1539\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -155416.8102\nAnswer: -155420.8102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73544605\/2477 + -29691. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 8*t - 2. Let w be v(9). Let k be ((-6)\/(-21))\/(1\/w). Find the second derivative of 8 - 4*r - 8 + 2*r - 3*r**k wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:26 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/4573 - -690475\/109752. Calculate the common denominator of (0 - (-6)\/8)\/(204\/1717) and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.2 - -170. Let n = 365 - 369. Sort -1, n, 1, t.\nAnswer: n, -1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let h(n) = 37*n. What is h(w(s))?\nAnswer: -74*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*j + 2*j - 4*p, 3*j + 3*p - 33 = 0. Suppose -3*l - f = -11 - j, l - 11 = -3*f. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19245, 76931, 173081, 307695, 480773, 692315, 942321?\nAnswer: 1230791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2*o + 2. Let j(v) = 1. Let y(k) = -j(k) - u(k). What is y(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 5*p - 3, 20*t + 2*p - 337 = -295 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-28)*q*q)*q)\/q*q**(4\/11)*q assuming q is positive.\nAnswer: q**(312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4 = -2*q, -2*j - 2*q = 7459 - 7455 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 8 = 4*z, -3*l + 3*z = -24. Solve l*i - 6 - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-18))\/(1*3\/(-27)). Let q = -1 - 1. Which is the nearest to q? (a) 0.5 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3)\/(-24)) + 4. Let n be -1 - (l - -2) - 0. Suppose 0 = -4*f + 19 + n. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - j + 18 = 0, 3*b - 6 = -2*j + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0. Let q = -18 - -29. Let v = 6 - q. Sort 0, g, v in decreasing order.\nAnswer: 0, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -u + 5 - 4, 2*l = -4*u + 24. Calculate the common denominator of -91\/18 and (l\/(-8))\/((-4)\/(-170)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-6) + (-3)\/7 + (-7667)\/(-4284) and (-1042)\/616 + 6\/(-21).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 2, z: 1, w: 7}. What is prob of picking 1 z and 2 s?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75940, -75962, -75998, -76048, -76112, -76190?\n\"Answer: -7*w**2 - w - 75932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4433 and 1209.\nAnswer: 13299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.71 and -3641183?\nAnswer: 3641198.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4 - 292*o**3 - 10686*o**2 + 22240*o - 11264 = 0.\nAnswer: -32, 1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.65 - -0.45. Let k = -2 - 2. Which is the biggest value? (a) n (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*j**2 - 3\/11 + 4\/11*j.\nAnswer: -(j - 3)*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/(-80)*(-12)\/9. Let g be (0 - 0)*(-1)\/(-3). Let u = g - -15. What is the highest common factor of u and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20 and 83\/50046500?\nAnswer: 50046500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 63 - 210. Let u = l + 132. Calculate the remainder when u is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a + 1. Let z(b) = b**3 + 3*b**2 - 4*b + 3. Determine -3*i(s) + z(s).\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 10:12 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, n: 2}. What is prob of sequence ne?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 60*u**2 - 14*u + 33. Let x be k(2). Let s = x + -248. Let y = -0.3 + 0.1. What is the second smallest value in 1, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-4 - (-3 - 0)) + 2 - (-108 + 100)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 smaller than 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 8, q: 5}. What is prob of picking 2 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 + -266. Suppose 19*r - 2138 - 1985 = f. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*i - 696*i - 29 = 0. Let x(y) = y**2 - 3*y. Let g be x(4). Suppose p + g*p = -25. Sort p, 4, i.\nAnswer: p, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006315187 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 885575.475 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 21\/1571?\nAnswer: 21\/1571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 2 - (-17 - -8). Let w(z) be the second derivative of 5*z**4\/6 - z**3\/3 - z**2 + 355*z. Let d(y) = -7*y**2 + y + 1. What is i*d(m) + 5*w(m)?\nAnswer: -6*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 350, -37.\nAnswer: -37, 0, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -8 + (-248)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 + 6*t + 2. Let c be x(-7). Suppose -c*h = -21*h + 156. Suppose 550 = -3*s + h*s. Calculate the remainder when s is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 335 - 283 - o + 159.\nAnswer: -o - 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91722501?\nAnswer: 3, 13, 783953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.14. What is the smallest value in v, -1, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:11 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 672*j**2 + 4*j + 8. Let d be w(-6). Suppose -4*p + d = -5*n - 3824, 0 = -2*p + 5*n + 14000. Round p to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - b00?\nAnswer: -b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102141 less than -4.10792?\nAnswer: 102136.89208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1513308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 0. Suppose x = -3*d - 41, s*d - 191 = 5*x + 3*d. Let f = -12 - x. What is the remainder when 49 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12600709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26044\/340 - 86 - -4\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 253117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**5*(a**(-1\/3))**16)**(-2) assuming a is positive.\nAnswer: a**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 10. Let w(i) = -17*i - 37. Let n(c) = 4*o(c) - w(c). Let l(v) = 2*v. What is n(l(y))?\nAnswer: 18*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, b: 1, a: 10, w: 1, p: 3}. What is prob of picking 1 p and 1 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02223668 to four decimal places.\nAnswer: 0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -47*s + 12*s. Are 34\/1237 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 111334.5756227.\nAnswer: -111336.5756227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 497229 (base 13) to base 11\nAnswer: aa0878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:24 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.128 + -59.128. Let r = k + 64. Let m(p) = -p - 5. Let v be m(-8). Sort 5\/4, r, v in ascending order.\nAnswer: 5\/4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369007 is divided by 3690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018378 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2196 and 27267.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6862 - -102932\/15. What is the third biggest value in 0.67, 1, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.1 and 915.45?\nAnswer: 912.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14443, -14442, -14441, -14440, -14439?\n\"Answer: n - 14444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299784178.\nAnswer: 2, 103, 1455263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 301 from 0.1.\nAnswer: -300.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 2035. Let o(g) = -8*g - 2024. Calculate 5*b(n) + 4*o(n).\nAnswer: -2*n + 2079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 93. Let t(k) = -3*k. Calculate -f(l) - 4*t(l).\nAnswer: 3*l + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70242967 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (7 + -2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 5986\/73*(-7 + 2)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (2\/(-1) - -3). Let r be ((-2)\/3)\/(s\/(-6)). Is 2 - (-39 - (-2)\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -52. Let y(t) = -t**2 - t + 4. Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 + 1)\/(-4))\/1. Let k(c) = 3*c**2 - 17*c + 26. Let g(u) = -u**2 + 6*u - 9. Let o(x) = 17*g(x) + 6*k(x). Determine o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4955890 to the nearest ten thousand.\nAnswer: -4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**19*y*y*y*y**(2\/3)\/y)\/((y**(6\/11)*y)\/(((y\/y**(-3))\/y)\/y)) assuming y is positive.\nAnswer: y**(-425\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/4)\/((-329)\/188) - 4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 3*j - 4*j + 7*j**3 - 12*j**3 + 57*j**3 - 32*j**3 + (-2*j + 0*j + 0*j)*(0*j**2 - 2*j**2 + j**2).\nAnswer: 22*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 2 - 24)*(-3 - 3 + 5)*(-15*a + 2*a - 11*a) to the form d*a + p and give d.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 723710572 to the power of 1\/2, to the nearest integer?\nAnswer: 26902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*k = 181*g - 186*g + 18286, 2*k - 2*g - 20 = k - 3*g for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191083?\nAnswer: 19, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 168, 370, 580, 804, 1048?\n\"Answer: c**3 - 2*c**2 + 201*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 2 o when four letters picked without replacement from yywoyynioon?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s**2 - 73*s + 68. Let x be p(5). Which is the second biggest value? (a) 0 (b) 3\/4 (c) -18 (d) -0.3 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose -j = 4*z + 3*j - 116, s*j = 5. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 3*h + 2. Let v(n) = -n. Let i be v(2). Let g be j(i). Let p = -10 + g. Solve -5*a = -5*t - 25, p*a - a = 5*t + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*t + 291*t = -419*t - 11868 for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/52 and 105\/416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/((f\/(f*f**(-3\/2))*f)\/f))*f**(-7\/3)\/f)\/(f*f\/((f\/f**(-3\/5))\/f))**(-2\/37))**6)**42 assuming f is positive.\nAnswer: f**(-128562\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 8) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -160. Let c(s) = -13*s + 3*s + g*s. Let m(l) = 29*l. What is c(m(j))?\nAnswer: -87*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = -4*s, -2*r + 3 = -5*s - 2. Solve -s + 3 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2835, -5685, -8535, -11385, -14235?\nAnswer: -17085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:46 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 - 2*n**2 - 12. Let a(g) = 5*g**3 - g**2 - 11. Let i(q) = -7*a(q) + 6*u(q). Determine i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -593 equal to -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -38. Suppose -5*v - 10 = -10*v. What is the tens digit of (v\/1)\/2 + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.0353 + 0.0353. Suppose 2 = k - 2*k. Let v be (-2)\/k - 35\/42. Is v at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let t(d) = -d**3 - d**2 - d. Let m be (38\/(-20) + 4\/10)*(-3700)\/(-5550). Let n(s) = 3*s**3 + 3*s**2 + s + 1. What is m*t(p) + z*n(p)?\nAnswer: -2*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmcn when four letters picked without replacement from {v: 1, s: 3, m: 1, d: 1, c: 2, n: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7304 - -18?\nAnswer: 7322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) - (-155)\/30. Suppose -7*x = -i - 2. Solve 0 = -n + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 225075*s - 1125300 = 0. What is s?\nAnswer: 5, 75020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*k - 123*k - 18*k - 10065 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 72?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2438*f**3\/7 - 11628*f**2\/7 + 1072*f.\nAnswer: 2*f*(f - 4)*(1219*f - 938)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-4875)*30*1716\/(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1424489152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4248 is divided by 2118.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89928.44l to millilitres.\nAnswer: 89928440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*t - 2 = -381*t + j + 12, t - 3*j = 42 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5540 + -23240401?\nAnswer: -23230421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -l - 11, -6*l + l - 2*z = -37. Let i = l - -508. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996952 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 26*z - 72477 + 486. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619858607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:51 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 3}. What is prob of sequence rsss?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c + 16*c**5 - 4*c**5 + 7 + 2*c**4 - 13*c**5 - 32*c**5 wrt c.\nAnswer: -660*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 11*n**2 - 24*n + 9. Let q(x) = 2*x**3 - 6*x**2 - 12*x + 5. Determine -4*b(v) + 7*q(v).\nAnswer: -2*v**3 + 2*v**2 + 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k + 25*k + 110 = 0. Let y = k - -6. Calculate the remainder when 184 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0 + 0)*(x - 3*x + 4*x) + 0*x**3 - 6*x**3 + 4*x**3 + 50*x**2 - 109*x**3 - 101*x**3 + 227*x**3.\nAnswer: 13*x**3 + 50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 14*n**2 + 9*n**2 + 4*n**2 + (-187 - 3*n - 5*n**2 + 184 + 2*n)*(-1 - 4 + 6) to s + d*n**2 + j*n and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123520 - -50.4806.\nAnswer: 123570.4806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -13, -433.\nAnswer: -433, -13, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 3*c = o - 15, -2*c = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 870.366 nanograms?\nAnswer: 0.870366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(720)*-1 - sqrt(720))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7625 - 7631. What is the nearest to 0 in -7, -2, 4, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose m = -i - 3 + 1. What is the smallest common multiple of (-9 - 2\/(-2))*i and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 = -29*v + 156. Suppose -v = -4*n - 13. Factor 2\/9*q - 2\/3*q**2 + 2\/3 - 2\/9*q**n.\nAnswer: -2*(q - 1)*(q + 1)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2431)\/(-24310)*(1\/3)\/((-2)\/(-195)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7879.4, -5, 1\/2, 3, -0.5?\nAnswer: 7879.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 7:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + -0.08. Let l = 1.3 - x. Which is smaller: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -4 (c) 76 (d) -25.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1986)\/(-966) - 2) + 2\/(-14). Which is the closest to -2? (a) g (b) -4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5599110 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 10*l**2 + 14*l + 28. Let f be b(-8). Let r(v) = -v**2 + 3*v + 3*v - f + 41. List the prime factors of r(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88231, 176480, 264729, 352978, 441227?\n\"Answer: 88249*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**7\/210 - 7*k**6\/75 + 18*k**5\/25 - 8*k**4\/3 + 64*k**3\/15 - 19*k. Find m, given that j(m) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1491)\/(-355)*5*1. Suppose 36 - z = 5*g. Solve 0 = 2*a - g*r - 19, -a - r = 2*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*t + 3*k, 13 = -3*t - k - 1. Let p(q) = q**3 + 6*q**2 - 4*q - 9. Determine p(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 19. Find the third derivative of -9*f**4 - 5*f**2 + 9*f**4 - i*f**4 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 50. Suppose r - 4*o + 1 = 0, -o - 2 = 4*r + 2. Put 3, r, 2, u in increasing order.\nAnswer: r, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161, 125, 63, -25?\n\"Answer: -13*h**2 + 3*h + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3794115 millimeters to centimeters.\nAnswer: 0.03794115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 327, 1093, 2571, 4995?\n\"Answer: 39*q**3 + 5*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(416)*-6*-3)\/(-1*sqrt(2)*-2 - (sqrt(20)\/sqrt(2))\/sqrt(5)).\nAnswer: -3 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r - 2*c, 0*c + 4*c = -5*r + 13. Suppose -31 = x - 2*x - r*k, 4*x + 4*k - 60 = 0. Solve t + x = -4*l, 0*l + 4*t = 3*l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.0029?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2757568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 2*q + 6*q. Let k(z) = -3*z**2 - 7*z**2 - 2*z**2 + 6*z**2. Determine y(k(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -22. Let a(n) = 3*n**3 - 2*n**2 - 6*n + 3. Let z = -2 - 2. Let g(b) = 4*b**3 - 2*b**2 - 5*b + 2. Let v(w) = z*g(w) + 3*a(w). Calculate v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -815 (base 16) to base 8.\nAnswer: -4025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134093, -268159, -402227, -536297, -670369?\n\"Answer: -f**2 - 134063*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 131, -1\/3, 2\/7, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 6*t**4 + 2 + t**2 + 15*t**3 - 85 wrt t?\nAnswer: 144*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-9 + (-168)\/14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 7907 + 7907.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:57 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001101 rounded to 7 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1615*x**2 - 122*x + 79*x + 43*x)*(-3*x + 5*x + 2*x).\nAnswer: -6460*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - r**2\/2 - 1. Suppose 10 = k + k. Suppose k*t - 2 = -7. Let q(h) = -2*h**2 - 4*h. Give t*q(m) + 4*w(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (330\/55)\/(2 + 12912\/(-6459))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*7880\/4160 - 64?\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = -4*f - 246, -15*s + 0*f - 2*f = 366 - 90 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:13 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 240 + 303?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**5 + 8*o**4 + 43*o**3 + 52*o**2 + 2*o. Let z(y) = -y**5 - 4*y**4 - 21*y**3 - 26*y**2. Let d(x) = -4*a(x) - 7*z(x). Suppose d(v) = 0. Calculate v.\nAnswer: -1, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1840 = 18*m - 8*m. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65\/16 - -6587\/80. Let a = f + -86. Factor 0 + 0*b + 0*b**3 - a*b**4 + 0*b**2 + 2\/5*b**5.\nAnswer: 2*b**4*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8*(-16)\/(-6). Let g(k) = 2*k**2 + 5*k. Is 12 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 10*i - 1. Give g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655989135.\nAnswer: 5, 331197827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((22 - -3) + (-2 + -2 - 3))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*n - 12 = 0, 3*t - 19 = -6*n + 4*n. Let c = 37451\/13 - 2879. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201300133 - 103223?\nAnswer: 201130310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 1674194*v - 700731387409 = 0. What is v?\nAnswer: 837097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00094750448 to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 116*h**2 - h - 1. Let r be w(-1). Let x(m) = m**3 - 6*m**2 + 6. Let v be x(5). Let p = r + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136146053 to the nearest integer?\nAnswer: 11668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 7*p - 36. Suppose p*t = -2*s - 8, -s + 14 = -0*s - 4*t. Solve 0 = -2*r - s*l - 2, l - 3 = -r - 2*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 566 - 497. Let d be (-88)\/(-6) - a\/(-207). Solve -4*j + d = o, 2*j = 2*o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/12 + u**3\/3 - 4*u\/3 - 166. Determine i so that t(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 105, 161?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348202, -348199, -348196?\nAnswer: -348193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g + 62. Suppose 0 = -2*i + 2*w + 16, 3*i + i - 5*w - g = 0. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-162)\/(-45) + 8\/20. Solve -4*z + k*r - 28 = 0, z - 3*z + 5*r - 26 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-35)*3\/2)\/(12\/164)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**3 - 2277*h**2 + 30177*h + 32469.\nAnswer: 3*(h - 137)*(h + 1)*(5*h - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.3 + 1.3. Let i = -26 - n. Let t = -8.99999932 - i. What is t rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 553 and 474.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -330774168 divided by -161432?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m + 4. Suppose 3*i - 8 = -i. What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.15 (b) 1\/2 (c) 29\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 168. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/14 + 23*h**3\/6 - 4*h**2 + 4*h. What is the derivative of l(c) wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1053916 or 1053911?\nAnswer: 1053916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 6) - (2228 + -2168).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-21)\/(-4)))\/(4\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 3:36 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 267*q - 17933. Determine c(70).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l. Let d(h) = 4*h - 42. Let k(q) = -3*q + 30. Let g(s) = 5*d(s) + 7*k(s). Suppose -3*i - 3 + 18 = 0. Let y = i + -9. What is y*o(v) - 21*g(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1596?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*j - 15*j + 5420 = 0. What is the fourth biggest value in 0.4, -5, j, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*m + 6750644 = 6705027 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 64 + 34 - 16*q.\nAnswer: -16*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 53*o**2 - 599*o + 473. Determine n(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -16 + 4 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 48 = -2*h, 4*d - 4 = 0. Let s = -35 + h. Let o = s - -43. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/5 + q**4\/12 - 5*q**2\/2 - 681*q. Let m(b) = -b**3. Give -5*m(k) - p(k).\nAnswer: k**3 - k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h + 1\/20*h**6 + 0*h**4 - 1\/70*h**7 + 0*h**3 + 2*h**2 + 0 - 1\/20*h**5. Factor y(i).\nAnswer: -3*i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6494 + 11278 = 23*i. Calculate the highest common factor of i and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/51 + (-5750)\/9775?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 - 3146?\nAnswer: -31a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -5*q**3\/6 + q**2\/2 + 3*q. Is s(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (966\/(-24))\/((-5654)\/(-176) + -33).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 5*d**2 + 4*d**2)*(-d - 5*d - 4*d - 2*d + d - d + (1 - 1 + d)*(3 - 3 + 1)) to the form l + p*d**3 + m*d + q*d**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3050505586 less than 0.5?\nAnswer: 0.1949494414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0*l**2 + l**2 + (-3*l + 2*l - 2*l)*(-38*l + 70 - 70) + (-4*l + 4*l - 2*l)*(-33*l - 16 + 16) - 2*l**2 - 2*l + 2*l.\nAnswer: 177*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/13 - 5710*b**3\/13 + 417414*b**2 - 1709249338*b\/13 - 6924185416\/13 = 0.\nAnswer: -4, 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/6 - 2*r - 24. Suppose u(z) = 0. What is z?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*(2 - 1). Let i be 5\/7 + (-4)\/(-14). Let w = -4754.9 - -4755. Which is the nearest to i? (a) w (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0355 rounded to two dps?\nAnswer: -3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 17.4. Let q = -8.5 + m. Let z = -7.9 + q. Which is the third smallest value? (a) z (b) -2 (c) -3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.82 + 0.26. Let t = m + -0.24. Let w = -3.8 - t. What is the closest to -0.1 in w, -2\/9, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 1027 = -301 - 333 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3043.716 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let w(a) = 14*a. Let c(u) = g(u) - w(u). Let r be c(-1). Suppose -7*v + 4*v = -m - 6, -4*m + 12 = 0. Solve 8 = 4*p - x, 6*x + r = v*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*l + 5 = 0, -4*w + 1026*l - 1023*l = -18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668640 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 3*l + 8, 0 = l + 4. Let y = b - -8. Let x be ((-1)\/y)\/(0 + -1). What is the second biggest value in -5, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 * -0.0488\nAnswer: 7.1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9472a (base 12) in base 16?\nAnswer: 2f812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 1 - 1 + (-304*y**3 - 114*y**3 - 677*y**3)*(1 - 1 - y) to o + f*y + n*y**3 + r*y**2 + w*y**4 and give w.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -43*l. Let t(r) = -285217*r. Give g(t(m)).\nAnswer: 12264331*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 190319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m + 149. Give f(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-1)))\/k*k**(-7\/5)\/k*k**4*k*k**2 assuming k is positive.\nAnswer: k**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532*d**3 + 6*d**2 - 7*d**2 + 3*d**2.\nAnswer: 1532*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-648)\/(-228) - 87\/(-551). Solve b + 8 = -2*t + 1, -5*t + y*b = 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 4361*d + 97 - 2217*d - 2145*d.\nAnswer: -d - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 2*w + 2. Suppose -4*i + t + 6 = 0, -4*i - 3*t + 10 = -2*i. Let d(v) = 2 - 3*v**2 - i*v + 7*v**2 - 5. Calculate 4*d(q) + 5*x(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1202, 2422, 3606, 4736, 5794, 6762?\n\"Answer: -3*l**3 + 1241*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19050*p**3 + 15779 with respect to p.\nAnswer: 57150*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 - -1) - (-78 - -67 - -18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -39, -2, 63, 162, 301, 486, 723?\n\"Answer: g**3 + 5*g**2 - 7*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 287. What is the remainder when 122 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(80\/(-4)))\/((-4)\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-60)*-11*(4\/10)\/(3\/45).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 36 + h - 126 - 87 - 149 in the form u + y*h and give u.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4\/42 + 82*t**3\/21 - t**2\/21 - 82*t\/7 - 8007. Solve o(b) = 0.\nAnswer: -123, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -478569.281 to the nearest 100.\nAnswer: -478600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*z - 41 = 0, -503*c - 125 = -498*c + 8*z for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4015*p*s**2 - 139*p*s + 21*s**2 - s - 547212 wrt p.\nAnswer: -4015*s**2 - 139*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1562145 to the nearest 10000.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19 + 34)*(469 - -9).\nAnswer: 2, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 30055603?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 d, and 1 k when four letters picked without replacement from {u: 1, d: 1, w: 1, y: 1, k: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*u - 4*k, -2 = -k + 2*k. Let w(r) = r**2 - 8*r - 6. Let q be w(u). Is q greater than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 784 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgggggvggvv. Give prob of sequence gg.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -240*r - 52*r**2 + 345*r - 8*r**5 - 20 - 183*r + 72*r**4 + 86*r**3 = 0.\nAnswer: -1, -1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, 355, -59, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2358160717444609*i**2\/5 - 97121794*i\/5 - 1\/5.\nAnswer: -(48560897*i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*u + 165 = -111 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 18*a - 2 = 0. Which is bigger: a or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-18)\/(-4))\/(-40 - (-166)\/4). Let n = -5 + 32. Sort n, -3, g.\nAnswer: g, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8355 - 193125 = -5*n. Let y be n\/(-26) + (-16)\/104. Calculate the common denominator of (-6)\/(-39) - y\/(-104) and -119\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 1, y: 1, l: 7, s: 8, c: 1}. What is prob of picking 1 y, 2 b, and 1 s?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2 - j + 1. What is the least common multiple of s(-1) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - r + 4. Let x be b(-8). Let w(q) = 8*q - 82. What is the remainder when 79 is divided by w(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -9*o - 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v - 41 - 29 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075753796 rounded to five decimal places?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36504)\/(-2704))\/(2\/(-4))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 11*j**2 - 13*j - 5. Calculate b(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = -6*j. Suppose j*b = -b - 30. Let r = 20 + b. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12))\/((-2)\/102). Let h = g + -14. Suppose -2*b - v = 6 + 4, h*v + 18 = -2*b. Let c(k) = -k - 7. What is c(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 40. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u. Let p(b) be the first derivative of -3*b**2 - 22. Calculate p(g(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -396576 times 25.6\nAnswer: -10152345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -421, -349, -281, -217, -157, -101?\n\"Answer: -2*i**2 + 78*i - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 2*i**2 - 4*i**4 - 5*i**3 - 2*i - i + 6*i**3 in the form z + b*i + k*i**3 + f*i**2 + x*i**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4*(-540 + 536)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*n = -0*m - 143, 0 = -4*m + 3*n + 114. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778914 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 12 + 38. Suppose 6*o - o = g. What is the first derivative of 0*i - 2*i - o*i + 1 - 6 wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 + (-14)\/(-10) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 32*g - 20 = 0. Suppose g*q - 3*q - 235 = 5*b, 0 = -2*b + 10. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-34 + 16 + 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p + 4 - 49 + 45*p.\nAnswer: 7*p - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + i**2 - 5*i**2 + (4 - 2 - 4)*(3*i**2 + 2*i**2 - 3*i**2) + i**2 - 4*i**2 + 5*i**2 - 14*i**2 + 16 - 16 to the form c*i + o + q*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 993 divide 961082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - 8 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -3. Suppose -3*t = -w*t + 12. Suppose 0 = -t*f + 92 - 23. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/2 - 96507*f\/2 - 3706626 = 0. What is f?\nAnswer: -32092, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2. Let v(f) = -85*f**2 - 12. Give -v(h) - 6*x(h).\nAnswer: 85*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f**2 + 279*f**2 - 121*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 4*o**3 + 33*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29971.9709904 + -29972. Let d = -0.029 - c. Round d to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by 30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11570 + 16.\nAnswer: -11554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 65 - 160)*(0 - 1 + 0)*(3*h - 5*h - 8*h).\nAnswer: -2290*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5, -4*s + 0*t - 5*t = 51. Let d be (s\/(-4))\/(4\/(-8)). Let z(c) = -c**3 - 7*c**2 - 5*c + 2. Is z(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26880 and 14?\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/15, -0.1, 8, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 - -522. Suppose 116 = -11*c + b. Solve -s = 2*s + 2*y + 7, -c = -5*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(528) + -2*-1*sqrt(528))\/((sqrt(108) - sqrt(108)*-1 - sqrt(12)) + sqrt(12)))**2*5.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2431\/8 + (-10)\/16*(-147)\/735 and 456?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159159150 and 900?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/65)*f)\/f)\/f)**(-8) assuming f is positive.\nAnswer: f**(504\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19883483 to three decimal places.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-94)\/(-10)*(-3)\/6 and (18\/15)\/((-28)\/85).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 487212763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115920480 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6*z - 0*z. Let n be z\/(-3 - (-1 + (2 - 3))). Factor 3*r**3 + 6\/5*r**2 + 0 - 21\/5*r**4 + n*r.\nAnswer: -3*r**2*(r - 1)*(7*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:11 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 9*a = 894. Let q(v) = 74*v + 74*v - a*v. Let p(b) = 4. Let z be (0 - 1 - 1) + 0. Calculate z*q(d) + p(d).\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Let c be (9\/a)\/((-2)\/8). What is the units digit of (-1)\/(((-12)\/c)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 2 - 3 - 4*a + 2*a**2 + 2 - 8*a**2. Is s(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 20. Let x be u(0). Let f be x*((-14)\/4 + 4). Solve -4*t = -5*v + f, t + 2*t + v + 17 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -38 + 9 + (3 + 1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*h - 5*x, x - 6*x + 12 = h. Solve -4 = -p - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uccl when four letters picked without replacement from {l: 7, c: 2, u: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(440)\/(sqrt(8)*-2))\/((sqrt(60)*2)\/sqrt(12)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 9*g. Suppose -2*l = -g*l. Solve l*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*l + 55*f**3*o**3 - f**2*l**3*o**2 - 4*f**2*l**3*o + 2*l**3*o**3 wrt o?\nAnswer: 330*f**3 + 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21322.9 from 4.\nAnswer: 21326.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/13))**(-11\/6) assuming o is positive.\nAnswer: o**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 1. Let m(r) = -r**3 - 5*r**2 - 5*r - 3. Let z be m(-3). Let d(p) = 3*p + 1. Determine z*d(o) - 5*b(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 344\/(-40) - (-6)\/10. Let q(u) = 5*u + 3. Let h be q(-2). Let n = h - v. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Let h be (-3)\/(-12) + 19\/r. Suppose h*q - 30 = -10. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5 - 6182*z**4\/7 + 34098*z**3\/7 - 5606*z**2 + 848*z\/7 + 10464\/7 = 0.\nAnswer: -3\/7, 1, 4, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 11:25 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1318*l - 3747. Calculate the remainder when 686 is divided by k(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806*p + 353145 = 550*p + 3867*p + 35772 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 + -3 - -2. Let m = 865 + -863. Calculate the lowest common multiple of m and 17 + 3\/(-6)*t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 11*d = 2*o - 15, 3*o = 0. Solve 8 - 20 = d*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*s + 4280 = 120 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31145 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/4 + 11 - 2655\/(-243)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2660*d - 233. Calculate the remainder when g(3) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124798204*l**2 + 221963184*l wrt l?\nAnswer: -249596408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b + 1. Let i(s) = s. Let t be i(-1). Let u(w) = w. Let l(a) = 6*a - 1. Let m(c) = -l(c) + 5*u(c). What is t*x(j) + m(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*m - 1. Let p(d) = 3*d**2 + d**3 - 247*d + 4*d**m + 226*d - 20. Let a be p(-9). Solve 5*z + a + 13 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 69 + 145 = q, 436 = 2*q - 2*f. Let c = q + 368. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 86310.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) 2 (c) 650 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (4 - 4 - -2)) + (-35 - (-22 - 11))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454163 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 39*c**2 + 6*c - 17. Let h be f(13). Let u(d) = -d. Let m be u(5). Does 17 divide (h\/2 + m)\/((-3)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 11262*l.\nAnswer: -2*l*(l + 5631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 5)*(-3*f**4 + 3*f**4 - f**4).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3005 + -0.2\nAnswer: 3004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11029751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31333 (base 4) to base 11.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 + 2*m**3 + m**2 + 8*m + 2. Let v be g(-6). Let f(y) = 5*y**2 + 5. Let r(x) = -6*x**2 - 6. Calculate v*r(h) - 5*f(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110111100 (base 2) to base 7.\nAnswer: 20505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-60)*5*(-3)\/18)\/((-3)\/6)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(0 + (sqrt(68) - (sqrt(68) - (sqrt(68)*-5 + 0 + sqrt(68)))) - (-2*(-3 + sqrt(68)) + 5))**2.\nAnswer: -9432 - 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10284 + -10195. Calculate the remainder when r is divided by (4\/(-3))\/((-4)\/54).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 4*w + 2. Let s(p) = p**2 + p. Let z(u) = -h(u) - 3*s(u). Let r(n) = -3*n**2 - 2*n**2 - 2 + n**2. Let q(l) = 4*r(l) - 3*z(l). Factor q(c).\nAnswer: -(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -1195 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 574\/112 + -1*(5 + 0)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + (35 - 9 - 13) + -43?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, -15, 4, 2, 42 in descending order.\nAnswer: 272, 42, 4, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2 (c) 2\/9 (d) 414\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:15 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 1, 0 = 2*f - 5*h + 8*h + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13341 is divided by 698?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90957, 90903, 90853, 90807?\n\"Answer: 2*b**2 - 60*b + 91015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -54*q**2 + 5*q + 1. Let v(g) = -5*g**2. Calculate r(v(l)).\nAnswer: -1350*l**4 - 25*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 12. Let p(b) = 270 - 21*b**2 - 804 + 274 + 260. Determine p(v(w)).\nAnswer: -84*w**4 + 1008*w**2 - 3024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**3 + 51*m**2 - 13*m - 26. Let s(a) = 4*a**3 - 26*a**2 + 6*a + 12. Let l(f) = -13*s(f) - 6*w(f). Find d such that l(d) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11435.96 take away 15460?\nAnswer: -4024.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -29*q - 10 - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + (4 - 4) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/14 and 47\/103842?\nAnswer: 726894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/418 and 109\/154280.\nAnswer: 1697080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, o: 9}. What is prob of sequence odd?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 760 - 172. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, m: 4}. What is prob of picking 3 b?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -219001752 times -3\nAnswer: 657005256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -274*r + 0*r**2 + 1\/5*r**5 + 0*r**3 + 39\/2*r**4 + 122. What is the first derivative of x(i) wrt i?\nAnswer: 4*i**3 + 234*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 14*y**2 + 38*y - 25. What is m(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213 by 170.\nAnswer: 213\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105860 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3250)\/1250)\/(1\/(-5))*-7?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8944 - -13268. What are the prime factors of v?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51050934, 102101869, 153152804?\n\"Answer: 51050935*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 54. Let y = -15 - t. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24492 by -2.\nAnswer: 12246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003159 rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*i = 296*i + 7638. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 - 4 - (-5 + 19 + (-32 - -20))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:46 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (-5)\/(-2)*(-16)\/10. Suppose 1941 = g - 2*i, -x*g + 3*i + 7728 = 4*i. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a. Let w(i) = -12*i**2 - 2*i + 71. Calculate u(w(r)).\nAnswer: 36*r**2 + 6*r - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from xlmlxlkxxmlxxx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -211312?\nAnswer: 211310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/36 + t**5\/10 - t**4\/12 - t**3\/9 + t**2\/4 - t\/6 - 19. Factor h(p).\nAnswer: -(p - 1)**4*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 44481 = 3*s + 21*b, 3*s - 44475 = -4*b. List the prime factors of s.\nAnswer: 3, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4464886?\nAnswer: 2, 19, 117497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Let i be ((-6)\/(-2) + -2)\/((-1)\/(-4)). Find the second derivative of -9*v - v + i*v**5 + s*v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 2*s)*(0*s + 5*s - 3*s) + (2 + 4*s - 2)*(-52*s + 41*s - 41*s) as v*s + o*s**2 + r and give o.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21a76 (base 11) to base 3\nAnswer: 1121202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25173*c + 25172*c + 626 + 737 in the form z + f*c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*h - 31, 278 = -4*v + 290 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 - (-15)\/3. Suppose -j*x = -20, 4*n - 168 = -5*x + 240. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*(4 + 3 - 4) - 9*c + c + c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 846 and 7452.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 52*p**2\/5 + 374*p\/5 - 64.\nAnswer: -2*(p - 5)*(p - 1)*(p + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/5 + 275*g**4 + 963*g - 2148. What is the derivative of l(h) wrt h?\nAnswer: -4*h**3 + 3300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = -1722 + 8784. Suppose -k*c + 222*c = 220888. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**3 + 2*y**2 - 4*y + 2. Suppose -3*c + 2*c + 2 = 0. Let p be r(c). Suppose -2*x - x = 3*i - 57, 3*x + p = 4*i. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 6:57 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 466042 - 12?\nAnswer: 466030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/30 + 7*u**5\/60 - u**4\/6 + u**3\/3 - 47*u**2 - 2*u. Let c be f(-3). Which is smaller: c or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-10))\/((-10)\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -21.5, -0.06, -8, 1, -3 in increasing order.\nAnswer: -21.5, -8, -3, -0.06, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1348)\/644 - (29 - 31). Let v = n + 603\/1288. Factor 3\/4*p**3 + 5\/4*p - v - 3\/2*p**2 - 1\/8*p**4.\nAnswer: -(p - 3)*(p - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to -310\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77626.\nAnswer: 2, 37, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let n be (2 - 0)*g\/(-1). What is the units digit of (-14)\/(n\/(2 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56\/10)\/(22\/55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -67*f + 17. Suppose 0 = 2*l - 5*l - 18. Let d = 11 - l. Calculate the remainder when t(-1) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 12*s**4 + 272*s**3 - 924*s**2 + 48*s + 1232 = 0.\nAnswer: -77\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79265.15 minus 25?\nAnswer: -79290.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101511 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2584\/108 - 38\/(-513). Let l = -3 - -6. Suppose 0 = -2*s - l*p + 13 + 3, -2*p + 2 = -3*s. Solve -s*k + 3*c - 32 = -7*k, 5*k + c = z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451924013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*z + 8, -3*z - 5 = 2*z. Let y = -11 - -8. Let v(i) = i**2 + 28*i + 142. Let a be v(-21). Sort g, y, 5, a in ascending order.\nAnswer: a, g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62681499?\nAnswer: 3, 17, 29, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 5, 213447, -2 in decreasing order.\nAnswer: 213447, 43, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -59. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16574.\nAnswer: 2, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/9)*(m**(1\/2)\/m)\/m*((m*m\/(m*m*m**(-1\/3))*m)\/m)**17 assuming m is positive.\nAnswer: m**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -44*r - 2374. Let f be w(-54). Let h be 4*((-10)\/4)\/1. Calculate the lowest common multiple of h - -10 - (0 - f) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66065 + 113511. Suppose 0 = 13*v + v - c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111509\/347320 - 3\/2285. Find the common denominator of t and 83\/44.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/92)\/((-203)\/28 + 8).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 16*d**2 - 87*d + 890. Let f be q(14). Let z(i) = -23*i + 2. Let s be z(-2). Calculate the highest common factor of s and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**7\/840 + b**6\/90 - b**5\/60 - b**4\/24 + 4*b**3\/3 - 8. Let m(q) be the third derivative of j(q). What is m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060214298 rounded to 4 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4 - 9) + 2)\/(15\/(-148000)). What is y rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 85*x + 3. What is the nearest to x in -0.1, 2, -367?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 + 6*p + 2. Let s(u) = -7*u**2 + 6*u + 2. Let n(c) = -6*o(c) + 7*s(c). What is the remainder when 38 is divided by n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2218705132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5*m + 4*m + 6*m)*(68 - 65 + 75) to the form u + n*m and give n.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1350 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - (2 + -3). Let g = -0.03 + -0.01. Let u = g - -3.04. Which is the smallest value? (a) 1\/4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797899419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**9\/1890 - i**5\/120 - i**4\/8 + 8*i**2. Let b(n) be the second derivative of j(n). What is the derivative of b(q) wrt q?\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 672\/13?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 3*v - 4. Calculate q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Suppose 0 = f - 4*y + 16, 5*f - 16 = -7*y + 3*y. Solve 1 = 4*j + p*w - 1, -3*j - 4*w + 1 = f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 4*a - 3. Let f be v(3). Suppose 0 = -f*u - u. Suppose u*k - 55 = -k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 1310*m**6\/3 + 505*m**3 - 2072. What is the third derivative of l(u) wrt u?\nAnswer: 157200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0*o - 2\/35*o**5 - 41*o**2 + 1\/140*o**6 - 2\/7*o**3 + 5\/28*o**4 + 0. Find x, given that g(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o - 6*o**3 + 4*o**3 + o**3 + 69*o.\nAnswer: -o**3 + 101*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0 + 12*c + 1\/6*c**3 + 0*c**2. Let q(n) = 4*n**2. Determine d(q(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -42*v**2 + 569. Let j(o) = -78*o**2 - o + 1138. Let s(c) = 11*f(c) - 6*j(c). Differentiate s(n) wrt n.\nAnswer: 12*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.4 and -1600 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5*24\/40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*r + 1821757 + 3525103. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3\/5, 0.1, -3, 4, 3 in decreasing order.\nAnswer: 32, 4, 3, 0.1, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713, -44, 10 in descending order.\nAnswer: 713, 10, -44","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - (-2)\/5. Calculate the remainder when 40 is divided by 2 + 1*(12 - o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxa when three letters picked without replacement from xxxaaxx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:33 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6397, 51249, 173017, 410161, 801141?\n\"Answer: 6410*x**3 - 2*x**2 - 12*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 1, r: 3}. What is prob of sequence ff?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = 2*x - 29 + 5, 9*x = -3*x + 84 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2058 and 5628.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1786169, -1786170, -1786171?\n\"Answer: -s - 1786168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 2, w: 3, p: 9}. Give prob of picking 2 h and 1 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(220)*-1*6)\/(5*sqrt(121)\/(sqrt(22)\/sqrt(2))) + -4))**2.\nAnswer: 384*sqrt(5)\/5 + 896\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9) + 20\/3 + -3. Suppose -14 + 154 = 5*t + 5*q, 2*q = -k*t + 106. What is the second derivative of -58*v**3 + t*v + 10*v + 61*v**3 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -92. Suppose 5*o + 0 - 10 = 0. Suppose -o*n + 2*m + 22 = 2, 5*n = -3*m + 74. Calculate the remainder when r is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa49a0 + -22?\nAnswer: aa4979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 49. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 25\nAnswer: -21\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1*(2 - -6 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 + d**2 - d**2)*(2*d + 3*d - 4*d) + 329*d**3 - 146*d**5 - 329*d**3.\nAnswer: -142*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:54 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -243 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 1212.\nAnswer: 3\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40885 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98\/1593 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62852 + -45?\nAnswer: 62807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111150*d + 2242 wrt d.\nAnswer: -111150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78259584 by -611403.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 2. Let l(h) = -h - 1. Give -4*a(m) + 7*l(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/45*-45*2\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 3\/5 (c) -1\/13 (d) 0.02753\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9224.035mm to nanometers.\nAnswer: 9224035000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -3 + 5 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4*j + 1 + 11, -50*w - 6 = -3*j + 391 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 8*q - 3. Let n be i(7). Suppose 3 = -n*s + 11. Find the third derivative of u**4 - 2*u**2 + u**4 + 4*u**s wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 18 + 14*k - 17 - k. Calculate the smallest common multiple of a(1) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 11 = -154. Let x(k) = -15*k. Let o be x(-2). Calculate the greatest common factor of o and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -13. Let d = -13 + q. Let h be (-1 - 0) + 16\/4. Solve d*c - c - h = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73.9 - 0.9. Let w = -72.8 + l. Let v = 1.1 - 0.8. Sort v, w, -1\/2 in decreasing order.\nAnswer: v, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/7)\/i)\/i*i*i*i**(-5)*i)\/(i**(-5)*i**(-6))*i*i**(-2\/5)*i*i**2*((i*i\/(i*i\/(i*i\/(i**(1\/9)\/i)*i)*i*i*i))\/i)\/(i*i**(-1)) assuming i is positive.\nAnswer: i**(3124\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4514\/105 - -907\/21. What is the nearest to -2 in -1969, r, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 13, 1\/210, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 713514*s + 42425185683.\nAnswer: 3*(s + 118919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(108)*1)\/sqrt(9) + sqrt(12) + sqrt(12) - (sqrt(300) - (sqrt(300) - (1*sqrt(300) - sqrt(300))))))\/(4*(sqrt(4) + -5*sqrt(16) + -2*sqrt(16))).\nAnswer: -3*sqrt(3)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-12250)\/(-372)) + (-36)\/45?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04568 from 0.\nAnswer: 0.04568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 not equal to -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = l, 0 = 4*l + l + z. Suppose 10*o - 14*o - 12 = l. Let s be o\/(-9) + (-48)\/63. What is the third smallest value in 1\/6, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 28 = 2*q, 0 = 2*i + 2*q - 3*q - 7. Suppose -i*z = -z + 10. What is the nearest to -0.3 in -3, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:13 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/10492 - 135547\/49679620. What is the common denominator of x and -43\/6?\nAnswer: 28410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (2 - 4))\/1. Let w(y) = -k*y + 296*y**2 + 4*y + y**3 + 9 - 288*y**2. What is w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76398 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from {b: 2, t: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5531405600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((5 - 2) + (-5)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1483532 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 4, k: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249055124*i*l**2 - 157245191*i*l wrt l?\nAnswer: -498110248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 10. Let p be (-2)\/6*d*3. Let o = 50 + -51. What is the closest to o in p, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 36, 46, 62, 84?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016298255 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 14*f - 8. Let w be h(-7). Let m(n) = -n**3 - 9*n**2 - 8*n - 2. Give m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/((-84)\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2*5070\/325. Calculate the greatest common divisor of p and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 24, 5, -2\/17, -9, 0.7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -320470 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5 - -4)*(525\/(-25) + 38)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.1. Let t = -1.6 - -1.1. Which is the closest to x? (a) t (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 93*i**2. Let o(j) = -12*j - 4255. Calculate o(b(g)).\nAnswer: -1116*g**2 - 4255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -14. Let n be (0 - -1)\/(1*-1). What is the units digit of n\/((-6)\/w)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(26\/65)\/(6*(-12)\/(-45))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5 (base 12) to base 7.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 13) to base 12\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 10*n**2 - 9. Let l be a(-10). Let c(g) = -2*g**3 - 9*g**2 + 13*g + 8. Let k be c(l). What is k rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 428*i - 426*i + 3*t, -t - 31 = -i. Suppose 5*u = -4*p + 33, -u + 0 = -5. Sort 3, -1, p, i in descending order.\nAnswer: i, 3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87990.98 centuries?\nAnswer: 105589176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(2\/73)\/(h**(-2\/17)*h*h**(-1\/9)) assuming h is positive.\nAnswer: h**(-43682\/55845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 30. Suppose p = 4*n - n. Suppose -s - n*s = 0. Sort s, -2, 4 in ascending order.\nAnswer: -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(9)\/(sqrt(3) + sqrt(3) + -1*sqrt(3) + sqrt(3)).\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 0)*(n + n - n) + 67 - 99 - 4*n + 5*n to r + m*n and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 241 = 5*u. Which is smaller: u or -52?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 55*h - 238 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 8) + 59 + 2. Suppose -2*i = i - x. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284231 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 0*m**3 - 2*m**3)*(-2 + 2*m**2 + 2)*(1929 + 2232 + 3336).\nAnswer: -29988*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1289*j + 37369. What is s(-29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u + 18. Let t = -3 + u. Let f(w) = -w**3 - 5*w**2 + 4*w - 7. Let s be f(-6). Solve -s*n + 10 = -4*r, -1 - 5 = -t*n - 3*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - r = 4*r + 14, 0 = 2*r + 4. Suppose 0*k - j*k = -8. Suppose 0 = -0*f + k*f - 316. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-57)) - 2. Let n = b + -14. Suppose 5*d = 15 + 15. Solve -5*p = -n*p - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3 + 8. Suppose -w + 0 = -m. Let h = 0.44 - 0.04. What is the nearest to -2 in w, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*p - p - 63, -3*o + 4*p + 56 = 0. Suppose 4*x = -x + 30. Let r = o - x. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/11 greater than 11\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7974*f*t**2 + 11*f*t - 85*t wrt t.\nAnswer: 15948*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l = -12*l + 248 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 5*x + 6. Let d be j(-4). Suppose 0 = -2*s - d*s. Suppose s = 5*i - 2658 - 942. What is i rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29523.6358 to the nearest one hundred.\nAnswer: -29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -3. Suppose c + 7 = g. Let m = -1100 + 1094. Are c and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 59*u - 1355. Let y be j(23). Suppose -5*x - 2*m + 108 = 0, 5*m - 7 - 10 = -x. Suppose -2*w = 2 - x. What is the greatest common factor of w and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3049.7923 + 3050. Round h to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 1 + -2 - (-450 - -448)) + -36?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*o)*(5 - 3 + 0).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7872750389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o**2 + 6394*o + 101008. Determine v(472).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -22, -6\/13, 79\/2, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214541404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199884, -1200456, -1201416, -1202770, -1204524, -1206684, -1209256?\nAnswer: -1212246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**3 - 2*r**2 - 679*r + 6338 wrt r.\nAnswer: 9*r**2 - 4*r - 679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 6*q**2 - 4*q - 2. Let a be m(5). Suppose 0*i - 5*g - 16 = i, a*g + 12 = 0. Solve 2*n - 12 = i*u, -2*n - 2*u - 4 = 2*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + 2 + 689080\/30. Is 110\/(-44) + n\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/974283 and 40\/10947.\nAnswer: 974283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-4))\/((-1)\/12). Let c be (-1)\/3 + x + (-18)\/7. What is the closest to -2\/5 in c, 1\/3, 3, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 4 = g, 2*j = 3*g + 3. Solve 3*b + h = -4*h + j, 4 = 4*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-32)\/6)\/(-4). Let c = 133 - 1465\/11. What is the closest to -0.1 in t, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + ee?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768377311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 687495 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 817*s - 1414. Calculate y(1).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/13 - -19\/39. Let t = -13.14 - -13. Let g = 0.04 + t. Sort 3, v, g in decreasing order.\nAnswer: 3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 965*o - 186. Calculate the remainder when v(5) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(5 + sqrt(171) + -4)*6)**2 + -3.\nAnswer: 7776*sqrt(19) + 222905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/32939378 and 53\/22.\nAnswer: 362333158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17785047 to the nearest integer?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 4*p**3\/3 + 6*p. Let d(r) = -2*r. Calculate l(d(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n**(-2\/7)*n*n*n**3*n*n\/(n**1\/n))\/(n**(5\/4)\/n*n**(-2\/5))**(23\/6) assuming n is positive.\nAnswer: n**(921\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 56. Let p = h - -12.5. What is the third biggest value in -0.1, -5, p, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 - -41253?\nAnswer: 41435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 4. Solve 0 = h*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/3)*d)\/d**(-5))**(2\/3) assuming d is positive.\nAnswer: d**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.2. Let f = 112 - 2. Let k = -112 + f. What is the nearest to k in 2, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81973\/717 - -4\/717. Let y = -115 + g. Which is the closest to y? (a) 5\/4 (b) -2\/7 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*s = 11 - 8 - 9, 0 = 4*v + 8*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 5 + 1*sqrt(396) + sqrt(396) + 2 - (sqrt(4455) + (-2*sqrt(4455) - sqrt(4455)))\/sqrt(80)) + 3)**2.\nAnswer: 450*sqrt(11) + 22675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52991016?\nAnswer: 2, 3, 13, 169843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = 6*q. Which is the second biggest value? (a) 1\/8 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 - 4*k**4 - 7*k + 5*k)*(1 + 4*k - 1) + (-k**3 - 4*k + 4*k)*(-4 - k**2 + 4).\nAnswer: 5*k**5 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 10 + (-19 - (-29 - 9))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -306, -5, -0.5?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1736369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(((-28)\/(-12))\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**3*m - 90*b**3 + 219745*b*m**2 + 2265*b + m**2 wrt m.\nAnswer: b**3 + 439490*b*m + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 90 = v. Let x be ((-35)\/3)\/(6\/v). Let a = 54 + x. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -63632*n. Let q(y) = 10*y**2. Calculate d(q(h)).\nAnswer: -636320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/190)\/((3\/(-1))\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-81))\/(1\/3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168 + -165. Sort -2, 7, c.\nAnswer: -2, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 573833*m**2 - 934987*m wrt m?\nAnswer: 1147666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 0 - (-19108)\/(3 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let t = y + -2.3. Let g = -0.9 + t. What is the closest to g in -2\/7, -1, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002298399 a multiple of 3877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 408.91559 to 1 dp.\nAnswer: 408.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*-2*-6)*-6)**2 + 2.\nAnswer: 1095122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(2\/11)*i*i))\/(i*i**(-1)))\/((i\/(i*i**(-1)*i))\/i)**(-5\/4))**(-19\/6))**(-1\/4) assuming i is positive.\nAnswer: i**(-2033\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -260, -585, -1040?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, e: 1, w: 3, b: 6, y: 2}. Give prob of sequence bwwy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/20 and (-7 + 8)*186\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Let o be (-15)\/(-2)*4\/f. Let d = 6.1 - 6. Which is the third smallest value? (a) d (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by 98?\nAnswer: -279\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(((-81)\/(-84))\/(-9)). Solve -5*g + 25 = -2*u, s = -5*u + 2*g - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:42 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4157*c + 4273*c + 3364 = 0 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1429788 or -1430319?\nAnswer: -1429788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose 20 = d*n - 28. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240302731 take away -79.9?\nAnswer: -240302651.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 70 = -2*q. Let i = q + -87. Let s = i + 128. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-985 - 177 - 708 - v) to the form l + t*v and give l.\nAnswer: 3740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4. Suppose f - 7 = -4. Calculate p(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 9*n**3 + 9*n**2 - 3*n.\nAnswer: 3*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 - 1. Let v be ((-5)\/(-3))\/((-32)\/(-96)). Let u(i) = -i**3 - 6*i**2 - i + 5. Give v*x(p) + u(p).\nAnswer: 4*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhy when four letters picked without replacement from {y: 14, h: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 97669*r + 195331*r - 97673*r - 3.\nAnswer: -11*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 9, w: 1, z: 3, x: 3, m: 1}. What is prob of picking 1 z, 1 w, and 2 x?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 4. Let c be k(-3). Let j = -5 - c. Suppose -z + 4*b - 3 = -2, -4*b + 13 = 3*z. Solve -j = a + z*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = -4*o, -16 = -5*o + 3*z - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 95. Let s be w(33). Suppose -5*y + 4445 = s*g, -873 = -y - 2*g - 2*g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -1 + (121 - -141) + -347?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v**2 + 6*v - 4. Let m be x(-4). Solve -201*a + m*a = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 9 + 26 = 0. Suppose s*z + 24 = 13*z. Let f = 81 + z. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c**(1\/4)\/c*c)\/c*c)*c*c)\/c)**45\/(c**0*c)**(3\/8)*(c**(-2\/5)*c*c**(1\/12))**(-35) assuming c is positive.\nAnswer: c**(2387\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 8. Let g be p(-8). Suppose g = -i - 2*i - 3. Let s = i - -15. What is the greatest common divisor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207181728*h**5 + 10411414*h**2.\nAnswer: 12430903680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5193708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -107, 1, 7, -5.\nAnswer: -107, -5, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 23968500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-3\/17)*(x*x*x\/(x\/(x\/(x\/(x*x\/((x**(1\/2)*x)\/x)*x*x)))))**(1\/19))\/((x**4*x*(x*x**(-2\/3)*x)\/x*x)\/(x**(-1\/4))**(-41)) assuming x is positive.\nAnswer: x**(15619\/3876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 425, 647, 875, 1109, 1349, 1595?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-1)\/(-22)*11. Factor 2\/3*b + 2\/3*b**5 + 2\/3*b**4 - 4\/3*b**v - 4\/3*b**2 + 2\/3.\nAnswer: 2*(b - 1)**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 36 = -6*u. Suppose 3*a + 240 = 8*a. Calculate the greatest common factor of u and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*n**2*q**3*s - 702*n**2*q**3 - 11*n**2*q**2 - n**2*q + n**2 + 497*n*q**2 + n*q + 5*q*s wrt q.\nAnswer: -2358*n**2*s - 4212*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = -13*h - 416. Let d(v) = -2*v**3 + 31*v**2 + 11*v + 80. Let f be d(h). Solve f = 4*n - 18*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 18*c**2 - c - 17. What are the prime factors of v(-16)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132250676023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and 29.314865411812?\nAnswer: 29.304865411812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 3, -0.1, 2\/3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.5, 1\/181?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34934126 to the nearest integer?\nAnswer: 5911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4 - 516*g**3 - 18390*g**2 + 15655132*g + 1526873775 = 0.\nAnswer: -393, -149, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 3*f**5 - f - 21. Differentiate r(d) with respect to d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/12 - (-6100)\/1200. Let p = -23 - -32. Let k be 42\/p + 4\/12. What is the highest common divisor of k and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1109811 and 2809947?\nAnswer: 132067509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149\/2? (a) -3\/7 (b) 1\/8 (c) 0.06 (d) 0.2 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 9. Let s(u) = -64*u**2. What is s(f(n))?\nAnswer: -256*n**2 + 2304*n - 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.00633\nAnswer: -0.50633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 27 - 41 = h, 2*h = -2*v - 18. Which is the fifth biggest value? (a) h (b) 1 (c) -1 (d) -0.337 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1.922, 2\/15, 0.5 in ascending order.\nAnswer: -23, -1.922, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -29. Let t = x - 15.4. Which is the nearest to 2\/5? (a) t (b) -3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - 200200010112?\nAnswer: -200200001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1987 + 1403. Let z = 587 + i. Suppose 3*h + 5 = -4*t, -2*t + 3*h = -3*t - 8. Sort t, -3, -4, z in ascending order.\nAnswer: -4, -3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1426 - -1445. Calculate the highest common factor of d and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 3, b: 2, h: 3, i: 3, v: 1}. What is prob of picking 1 n, 1 i, 1 b, and 1 z?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 2519536*a - 15117360 = 0. What is a?\nAnswer: -629890, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94519*b**4 + 32457.\nAnswer: -378076*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-39) - (0 + 1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-63)*((-7)\/(-10) - 1). Let r = 4.5 - 5. Which is the nearest to 1? (a) 2\/23 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11345576 and 29312.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, t: 4, o: 7}. What is prob of picking 2 t, 1 o, and 1 n?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23371110 by 5.\nAnswer: 4674222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55701.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32444946 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 592*b**4 - 1675*b**4 - 1 + 3*b + 537*b**4 + 10*b**3 + 533*b**4 in the form q*b**4 + o + y*b**2 + v*b**3 + a*b and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90505694 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + 4 + 1 + 1 + sqrt(208) + sqrt(208))**2*-6*2*-1.\nAnswer: 1728*sqrt(13) + 22896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and -115190?\nAnswer: 115189.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 131?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*288\/(-160) + 3\/15. Solve -c*k + a = -14, -156*k - 3*a + 7 = -155*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 15 + -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-14)\/b)\/b)\/b**5)\/(b\/(b*b**1))**(-4\/39) assuming b is positive.\nAnswer: b**(-784\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*52\/(-8190))\/(286\/(-165)).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(12)\/sqrt(384))**2 + 3*sqrt(18)\/(sqrt(45)\/sqrt(5))).\nAnswer: 645\/32 + 35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c + 0*c + 9*c - c - 1 + 2*c**3 to i*c**3 + o*c + q + r*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 206616 + 257729 - 990015.\nAnswer: c - 938902","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/540 and 109\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5052197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + s = -s, -5*d + 3 = -s. Let h = -4 - d. Let b be (-4)\/h*(-20)\/4. Put -5, 1, b in decreasing order.\nAnswer: 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdju when four letters picked without replacement from jmmujmjmmmdmjjjjdmm?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45356 is divided by 22613?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 2*r. Let h(g) = -2*g**2 - 11*g**2 + g + 14*g**2. Let i(f) = 4*h(f) + 2*q(f). Let x(k) = -210*k + 106*k + 104*k - 64*k**2. What is x(i(d))?\nAnswer: -256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405686 by 1051.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -677 + 676.9999689. What is s rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16747279*k**2 + 16274*k + 70 wrt k.\nAnswer: -33494558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -307514, -1230095, -2767722, -4920389, -7688090, -11070819, -15068570, -19681337?\n\"Answer: d**3 - 307529*d**2 - d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 3*c + 1. Let i be z(2). Let r = -114 - -116. Let v be -10*r\/25*(14 - -1). Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p. Solve q + 4 = 5*d, p*d + 3*q - 6 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1764.53 - 36.53. Let r = h + -812. Let a = r - 915.999999413. Round a to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -6526, 5, 1\/5.\nAnswer: -6526, -3, 1\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-3)\/(18\/(-12)). Let z(t) be the second derivative of 17*t**3\/6 + t**2 + 2*t. Let j be z(x). What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1363*r - 5734*r - 9643*r + 3069*r.\nAnswer: -10945*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -11*q. Let b = -19\/39 + 2\/13. What is the nearest to q in 5, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let y(h) = 4*h + 6. Let c(u) = 6*f(u) + y(u). Suppose -4 = -0*k - 4*k. Let o(v) = 1 - k - 3*v + 2*v. Determine c(o(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 - 398*m\/13 + 16680\/13.\nAnswer: 2*(m - 139)*(m - 60)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - b - 6, 90*y - 6*b = 85*y - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let d = 8 - 0. Let u(x) = -x - 8 + d. Give u(s(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -909005 and 521 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 12. Let x be y(10). Let d be 4\/10 - 306\/(-10). Suppose x*z = -0*m + m + d, -5*m + 27 = 3*z. Solve -z = -3*t + o, -3*o = 2*t + t - 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, -79, -257, -527, -889, -1343, -1889?\n\"Answer: -46*n**2 + 52*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**3 + 8*u**2 + 17*u - 25. Let d(x) = 8*x**3 + 5*x**2 + 11*x - 14. Let s(o) = -8*d(o) + 5*g(o). What is s(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -19 - ((-63 - -19) + -3)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15042650 from -0.9.\nAnswer: -15042650.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 22. Let z be 4*(w\/4 + -4). Suppose 15 = z*p - 189. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u + 2. Let b be -2 - 0\/(-1) - -8. Let r be w(b). Let c = 34 + r. What is the least common multiple of c and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68.33 and 429371.\nAnswer: 429302.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 3. Let q(d) be the third derivative of -5*d**4\/6 + 4*d**3\/3 - 492*d**2 + 2. Calculate 11*l(g) + 4*q(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 932*h**2 + 314*h**2 + 310*h**2 - 2 + 308*h**2.\nAnswer: -3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*l**2 - 128*l**2 - 125*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*v + 30, -5*o = v + v + 18. Let t = 5 + o. Suppose 0 = 5*q + 2*y - 121, -2*q + y = -3*y - 58. Solve -t*b + 20 = f + 3*f, 2*b + 5*f = q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*i**4\/5 + 28234*i**3\/5 + 3360892*i**2\/5 + 3035608*i - 922320 = 0. Calculate i.\nAnswer: -1890, -122, -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 10*w**2 - 2*w + 5. Let h be m(-3). Let x(n) = -2*n**2 + 73*n - 47. List the prime factors of x(h).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51071 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1 + (-8)\/(-12)). Let t(y) = -9*y + 2*y + l*y**3 - y**3 + 8*y. Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) -2 (c) -3\/4 (d) 618.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-24)\/30)*-8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1283999)\/3 - 4\/12. Round o to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 2484*p**2 - 825*p**2 + 2*p.\nAnswer: -3309*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 0 - 2 + 5*t**4 - 72*t**2 - 2*t**3 + 7*t**4 + 0*t**3 + 70*t**2 to the form r*t + i*t**2 + s*t**4 + v + j*t**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 + 16*y + 29. Let v be s(-2). Let t(i) = 28 + 27 + v - 82 + 13*i**2 - 10*i. Let k(a) = 9*a**2 - 7*a - 4. Give 7*k(d) - 5*t(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 1850 + 1380 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1, 2\/13, -0.2, -5\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = y, 0*y - 2*y - 5*o - 19 = 0. Which is the second biggest value? (a) 0 (b) -3 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28170825 divided by -375611?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 29. Let m be (-6)\/3*(-30)\/4. Suppose 2*b - m = -b. Solve b*l = l + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58083.32ug?\nAnswer: 0.00005808332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 959.16 + -959.2. What is the biggest value in -3\/10, 0.5, 0.1, m, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 + 28\/(-20). Let d = 18 + -17.93. Let t = d + -0.37. Which is the closest to s? (a) 5 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 47*i**2 + 66*i. List the prime factors of k(6).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*n - 16. Suppose 4*s + 10 = -6, j - 30 = s. Calculate the remainder when j is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*z - 82 + 81, -2*w = -5*z - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 59 (c) 1\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49188 - 33299. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153069.5*-5.\nAnswer: 765347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-7)\/(-126) - (-4)\/36*-29\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171 plus 0.6?\nAnswer: 0.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.026 + 22.026. Let w = d + -22.0000042. Round w to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*((u\/(u*u\/u**(2\/19)*u*u*u))\/u)\/u*(u**(-3)\/u)**(-27) assuming u is positive.\nAnswer: u**(1978\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:16 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4601.92 + -4708. Let l = 105.01 + 0.99. Let y = l + w. What is the smallest value in 0, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 29*r - 9990 = 0. Let n = -336 + r. Let c(f) be the second derivative of -f**5\/20 - 5*f**4\/12 - f**3\/2 - 2*f**2 - f. What is c(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(12\/11)*v)\/v*v)\/(v**(-10\/13)\/v*v))**(3\/8) assuming v is positive.\nAnswer: v**(207\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 29 - f + 22 - 46. Let v = 21 - 15. What is the least common multiple of a(-13) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -31*b - 1. Give i(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 3:37 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14135950?\nAnswer: 2, 5, 269, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153309361, 306618724, 459928087, 613237450, 766546813, 919856176?\n\"Answer: 153309363*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*r + 25, -48 + 46 = 14*r + 3*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*n**2 - 59*n**2 - 101*n**2 - 35*n**2 - 50*n**2.\nAnswer: -485*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 136 = 4*r, 3*f - 3*r + 6*r = -87. Let y = 32 + f. Is -3 + -1*(-356)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142245993 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -151624, -5?\nAnswer: -151624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*((-27)\/(-2))\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + sqrt(13)*1 + -3)*-5)**2.\nAnswer: -10800*sqrt(13) + 54900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h*j**2*m**2 - h*j**2*m - h*j**2 + 3*h*m**2 - 354191*j**2*m**2 + 563505*j*m wrt m.\nAnswer: 18*h*j**2 + 6*h - 708382*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 2067.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -224, -742, -1748, -3404, -5872?\nAnswer: -9314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(960))\/(sqrt(5184)\/sqrt(12)).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*l - 46 + 14, -3*l + 7 = -2*i. Let y be 12\/i - 2*-1. Suppose 15 = 5*v + y. Is 1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 10229750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-45)\/(v**(1\/14)*v\/(v\/(v\/v**(-6)))))**34 assuming v is positive.\nAnswer: v**(3672\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2 - 2918*y - 3474. What is l(293)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -2*v**2 + 0*v + 361\/21*v**3 + 1\/210*v**5 - 19\/42*v**4 - 2. Let j(q) = 0. Calculate q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 8:02 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 548*y**3 + 1. Let j be u(1). Let l(r) = j*r + 14 - 2724*r - 14. Let h be l(-4). What is h rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.72595859 and -296204.\nAnswer: -296204.72595859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 12*f - 11. Let o be k(-11). Suppose 2*d - 4*w + 85 = 7*d, o = 2*d + w - 34. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13909, 11, -3, -1.\nAnswer: -13909, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 10*g - 7. What is k(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, -1\/6, 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2 + 44*c + 439. What are the prime factors of l(-13)?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 5.95. Let t = h + 6. What is the second smallest value in -3, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*l + 199, -105*l + 8 = -104*l - 0 - 57 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 52, -0.062, -3\/340?\nAnswer: -3\/340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2 + (-3 + 2 + 2)*(-4 + 5 - 2))*(-8 + 8 - 2*p) as g + d*p and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**0*z*(z**(-1))**(1\/10))**(1\/83) assuming z is positive.\nAnswer: z**(59\/830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 9*w + 4. Suppose i = 2*v - 9, 2*v - 6*v + 3*i = -15. Suppose v*m - m - 45 = 0. Let n(b) = -b**2 + 4*b + 2. Calculate m*n(c) - 4*r(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 2, 1\/4, 0, -2\/3, 5.88?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -2\/103, 119\/2, -1, -3?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 - 67*i + 7*i**2 + 1 - 33*i**2 + 70*i - 6*i**3 in the form u*i**2 + c*i**3 + j*i + y and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*f + 22 = -2*c, -4*f - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 838 (c) 1\/7 (d) -1\/12 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13.2 * -0.101\nAnswer: -1.3332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:57 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.5 - -43.4. Let j = 2157\/7 + -309. Which is the closest to -3\/5? (a) -1\/5 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmpq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 = -u. Let b be (-1)\/(u\/(-12)) + 6. Solve -b*s = 4*r + 2*s - 32, 0 = -2*s + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 0.1 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -174. Let c = 542 - v. Calculate the smallest common multiple of 12 and c.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**19\/(c\/(c*c*c**(-9)*c*c)) assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75636856 - 4?\nAnswer: -7563685a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-9 - (-28 - -12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 1, v: 2, y: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 1260\/409?\nAnswer: 1260\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*21\/(-56))\/((-6)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 74. Let r be f(14). Let c(q) be the second derivative of q**5\/20 + 5*q**4\/12 + q**3\/6 - 5*q**2 + 18*q. Let w be c(r). Solve w*j - 1 = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b*r**3 + b*r**2 - 24*b - 4072*r**3 wrt b.\nAnswer: 5*r**3 + r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 699\/10. Find the common denominator of (-136)\/(-204) + 58\/(-4) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 7*c**2 + c + 10. Let d be k(-7). Suppose 4*b + 0 = d*s + 22, -6 = -2*b + 4*s. What is the remainder when b is divided by 6 + 2\/(2\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176672 (base 14) to base 16.\nAnswer: c949c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111772*h*p**6 - h*p**5 - 162116*h*p**2 - h + 1 wrt p?\nAnswer: 13412640*h*p**3 - 60*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7.3. Let q = 0.2 + k. Suppose 0*i = -3*i + 12. What is the closest to 1 in 1, q, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 6*d**2 + 7*d + 3. Let b be u(-7). Calculate the remainder when 6\/2 + (38 - b) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/6 - 2*j**3\/3 - 10*j + 5. Let h(n) = -7*n**2 + 15*n. What is 6*h(l) + 22*o(l)?\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 2 + 0*j + 11*j**2 - j**3 - 5*j - 3*j**2. Let x be b(3). Are x and 5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r + 2. Let j be s(-3). Suppose 5*q = -5*i + 35, j*q - 4 = -i + 5. Is q > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19486 minus 2808934604?\nAnswer: -2808954090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 2. Let j = -8 - -22. Let q = j - 14. Calculate the lowest common multiple of w(q) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -26*u**2. Let q(c) be the second derivative of c**4\/6 + c + 32. What is q(r(y))?\nAnswer: 1352*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2 + (2 + 2 - 2)*(2 - 2 + 2))*(-2*g - 7 - 3*g + 6*g) to i*g + m and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 a factor of 591263107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25)\/((-660)\/(-176)*6\/75).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 2*v. Is 2 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 806*m + 36487. Give p(-45).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -147033?\nAnswer: -147033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165564428?\nAnswer: 2, 17, 31, 78541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*y + 8, c + 4*y = 2*c + 10. Let b(q) = 7*q - 4*q - 2*q + 5. Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 197*h**3 - 379*h**3 - 443*h**2 + 444*h**2 - h - 2 to the form r + v*h + a*h**2 + n*h**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -505411 (base 6) to base 7\nAnswer: -224641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*g**3 - 2590*g**3 - 6 + 6.\nAnswer: -3285*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.82 + -0.9. Let m = 0.12 - v. Do m and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a + 17. Calculate w(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 8*v - 1. Let x(s) = -3*s**3 - 9*s + 1. Let h(a) = -7*t(a) - 6*x(a). Let f be h(1). Solve -f*j = -5*z + 40, 3*j - 5 = z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 697 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-163612)\/(-11) - (-7 - (-150)\/22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/2 - (5 + -2). Solve z*d = d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*r**2 - 1552*c**3*r*y + 2*c**2 + 4*c*r**2*y - 91*c*r**2 + 3*c*r wrt y.\nAnswer: -1552*c**3*r + 4*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 8476\/26)*6*6\/144.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-7 + 3 + 3)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20335, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, -20335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.01 (c) 0.102 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0 - 6*z**2 - 1\/3024*z**8 + 0*z + 0*z**3 - 1\/1890*z**7 + 0*z**4 + 1\/540*z**5 + 1\/1080*z**6. Find j, given that r(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-2)\/4. Let l(d) = -3*d + 3*d - 5*d - 1 + 4*d. Calculate l(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -5\/3*t**3 + t + 1\/4*t**4 - 1\/2*t**2 - 1. Determine n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120.6, 5, -8, 0.5 in descending order.\nAnswer: 120.6, 5, 0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 4*q**5 - 4*q**5 + (-3*q + 0*q + q)*(-2*q**4 + 4*q - 4*q) + q**5 - 2*q**5 + 0*q**5 + (-2*q**5 - 5*q**5 - 3*q**5)*(8 - 2 + 1).\nAnswer: -65*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737282 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 122. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.43*0.317\nAnswer: 0.45331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:46 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7847 = 267*n - 680*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51522 = -5749*p - 31888 + 158271 + 69302 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421468, 842939, 1264410, 1685881, 2107352?\nAnswer: 2528823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*-8)\/(140\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 838*s = -834*s + 11, 0 = 3*p - s - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1347 or -4470?\nAnswer: 2\/1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(12) + 1 - sqrt(10)\/(sqrt(5)*-6))**2 + ((4 + sqrt(2592))*-3)**2.\nAnswer: 7783*sqrt(2)\/3 + 422563\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**3\/3 - 17. Let j(f) be the third derivative of -f**5\/60 + f**2. Calculate x(j(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 66, 5, 3, -1 in ascending order.\nAnswer: -14, -1, 3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -0.2, -4, -21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-27))\/(2\/(-66))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 - 136. Let q = 1.13 + 6.57. Let h = 6.7 - q. What is the closest to f in 0.3, 0.06, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, x: 2, o: 1, h: 3, p: 1, a: 2}. Give prob of sequence ga.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/67 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 584 - 1238 + 854. Suppose -17 = -3*h + 4*h. Let j = 27 + h. What is the highest common divisor of g and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-375 - 699 - 280 - 757 + 449)*(4*n - n - 4*n).\nAnswer: 1662*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7345 + 46613 = 701*q + 3717 - 13519 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70355\/8 + 8806. Find the common denominator of x and 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0313612 millennia in months?\nAnswer: 376.3344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcdr when four letters picked without replacement from dxrct?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*g, g = -3*i + 6 - 4. Find t, given that -4\/3*t**3 + 1\/3 + 2\/3*t**4 + 5\/6*t - 1\/2*t**i = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-18)\/27)\/((-10)\/39). Let l = 3 - 1. Which is the closest to 8? (a) h (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*-3)\/(-3*2*sqrt(5) + sqrt(5)))**2 + (-1 + sqrt(1300))**2*2 + -3 + (1 + sqrt(1300) + sqrt(1300))**2.\nAnswer: 195117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 336\/98 - 4\/7. Put -13, d, 2, 4 in decreasing order.\nAnswer: 4, 2, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 10*v - 9. Suppose -3*w + 3*z = 69, -3*w - v*z - 57 = -0*z. Is -2\/5 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/4 - -14)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6346416 divided by 4.\nAnswer: 1586604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11202001001 (base 3) to base 13\nAnswer: 33640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -19. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c74074 (base 15) in base 12?\nAnswer: 3212484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 9. Let j be x(4). Let o be (3*1\/8)\/j. Let b = 2.3 - 0.3. What is the third smallest value in o, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, h: 11}. Give prob of picking 1 s and 2 h.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 503722 + -345165. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -12 + 11 - (7 - -6)) + -10 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -66\/5, -67\/120, -2, 0.5 in descending order.\nAnswer: 0.5, -67\/120, -2, -66\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4 - d + 4. Let u(x) be the second derivative of x**3\/6 + 2*x. Determine p(u(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1467 + 7629. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/3)\/(54\/(-26) - -2) is divided by (-14)\/(-4) - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589072519 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1253530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-8 + 5 + -4 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9767 + 9764. Which is the biggest value? (a) -4\/5 (b) 0.4 (c) l (d) -1\/4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**8\/1680 + k**7\/280 - k**6\/180 - 7*k**3 - 10. Let l(w) be the third derivative of n(w). Factor l(m).\nAnswer: -m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/753 (b) 2\/3 (c) -1 (d) -2\/13 (e) 239 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3948 + 14*b - 2*b - 3583 + 7190 + (-b - b + 4*b)*(-1 + 0 + 3).\nAnswer: 16*b - 341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269*h**5 - 924*h**5 - 57*h**5 + (-h - 4*h + 3*h)*(-h**2 + h**2 + 3*h**4).\nAnswer: -1256*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47345401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.5516.\nAnswer: -0.33096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*g, 2*k + 1835*g - 1840*g = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7738641 centuries in decades?\nAnswer: 7.738641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3209150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 1. Suppose -10 = -4*r - r. Suppose -9*v + 7 = -r*v. Put -10, v, u in decreasing order.\nAnswer: v, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000*62\/1705 + (-28)\/(-77)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 13*w**2 - 5. Let q be s(14). Suppose 0 = -y + q - 22. Calculate the least common multiple of y and 6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 9*d**2 - 8*d - 5. Let v be u(7). What is the highest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - h + 8, -6*h = -3*y - 10*h + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -2\/3 (c) -0.096 (d) 339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**8\/4 - 53*w**6\/120 + 113*w**4\/2 + 3*w**2 + 314. What is the second derivative of n(o) wrt o?\nAnswer: -1680*o**3 - 318*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/201 and -30\/10327849.\nAnswer: 30983547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9 and 40\/459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347\/5 + -69. What is the third smallest value in 0.1, -5\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -253*t**3 + 5*t**2 + 5*t + 5. Let f(d) = 1392*d**3 - 28*d**2 - 28*d - 28. Determine 5*f(s) + 28*h(s).\nAnswer: -124*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 = 3*q + 12, -q + 5*l - 28 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25b (base 13) to base 14\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v\/(v*v**4))\/(v**(-2)\/v**(-3\/4)) assuming v is positive.\nAnswer: v**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-93)\/((-3)\/264*-12). Are -683 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2*u**5\/15 + 7*u**4\/24 + u**2 + 31940. Let f(z) = 3*z + 4. Let r(h) = -7*h - 9. Let i(x) = 9*f(x) + 4*r(x). What is n(i(l))?\nAnswer: 8*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105316805 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467325.\nAnswer: 3, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.3? (a) 4 (b) 6 (c) 1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 3*i**2 + 0 + 5\/24*i**4 + 0*i - 2*i**3. What is the derivative of r(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -0*s - 6*t + 110, -4*t = -3*s - 18 - 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.049 + 0.04933. Let m = -89 - -89. Let w = a + m. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30093.37024 + 0.3.\nAnswer: 30093.67024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g = 54 + 4. What is the nearest to g in -4\/3, 3\/4, -2\/13, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, p: 2, b: 4}. What is prob of sequence bpb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*t - 4190 = 0, 3*t - 4206 = -5*s - 0*t. Suppose -5*c + 25*c = 80. Suppose -c*o - 3*o = -s. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 84 = -31*u + 21*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/103397183?\nAnswer: 2\/103397183","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 31*j + 451. Give c(22).\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - g + 4 + 0 as s + n*g and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13824\/16)\/(-24)*(8\/3)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 522295 - 522295. Factor 3\/8*d**3 + a*d - 9\/2*d**2 + 0.\nAnswer: 3*d**2*(d - 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(2\/11)\/(v\/v**(-2)*(v**5\/v)\/v) assuming v is positive.\nAnswer: v**(-131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1 - (-1072)\/(-256). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 - (-19 - -28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*q**2 - 165*q**2 - 161*q**2 + 2.\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + h = 148, -3*j = -2*j + 3*h - 38. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 389645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 653 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30443 - 30305.83. Let f = -138 + r. Let s = 0.17 - f. Is s less than or equal to -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 30*c + 1017. What is b(19)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 21*r**2 + 201*r + 143. What is x(29)?\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3340 - 2?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(1216) + 0)*-4 + sqrt(1216) + 2 + 1 + sqrt(1216))*-4 - ((sqrt(1216) - (-4 + sqrt(1216) + -2)) + -3*(sqrt(1216) + -1))))**2.\nAnswer: -4576*sqrt(19) + 147812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:04 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -3, 1, 31, 8, 3 in descending order.\nAnswer: 130, 31, 8, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -m. Let u = -4 + m. Solve 3*n - 4*c = 2*n + u, -3*c = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 10116*x**3 + 190760*x**2.\nAnswer: 4*x**2*(x - 2510)*(x - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4709 + 4723. Solve 71 = -k*v + 99 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 19*y**2 - 65*y + 596. Let a be v(14). What is the highest common factor of a and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -40, -28\/171, 8, 2\/15, -5 in decreasing order.\nAnswer: 8, 0.4, 2\/15, -28\/171, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 366808*j - 341665.\nAnswer: 366808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3018726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163464 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 2. Let j(g) = -g - 1. Let y be 2*3\/6 - -26. Let x be ((-9)\/y)\/((-1)\/(-3)). Let b = x - 0. Calculate b*q(a) + 2*j(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-15) - (-498 - 3). Suppose -31*v + 249 + w = 0. Solve 3*a - v = -4*z - a, 0 = 5*z + 2*a - 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 30, 49, 68, 87?\n\"Answer: 19*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in 0.3, 0, -1, 0.1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099249059 rounded to 5 dps?\nAnswer: 0.09925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 6*x**2 - 7*x**2 + (-16*x - 56*x + x)*(2*x + 0*x - 4*x) + 3*x**2 + 2*x**2 + 0*x**2 as i + s*x**2 + g*x and give s.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1296) - sqrt(1296))*-3)\/(4*sqrt(800)*-1).\nAnswer: -27*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmzpphmmmmmmxmhhmhmv. Give prob of sequence hx.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 10966640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 8) to base 2\nAnswer: 10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 38*n = -12, 4*p + 5*n - 86 = 0. Solve 2*b + p = 4*x, 3*x - 26 = 2*b - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414653851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**2 + 5*n + 199. Let m(o) = o + 1. Determine 3*m(b) - w(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-20 + (4 - -10) - 7) + (1 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 2. Suppose -3*m + 318 = -d, -5*d = -4*m + 222 + 202. Let b = m + -101. Give v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-35)*2\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10166 bigger than -10165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjrjrjrjjjjrjjrrj. Give prob of picking 4 j.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 752*r**2. Let c(f) = f**2. Calculate l(c(o)).\nAnswer: 752*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 0*u + 0*u**5 + 1 - 1\/2*u**6 - 1\/2*u**2 + 0*u**4 + 0*u**3. What is the second derivative of r(v) wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let v(a) = -5*a**3 + 5*a**2 + 3 - 2 + 4*a**3 - 6*a**2. Let m(z) = -2*z**3 - z**2 + z + 1. What is n*v(b) - m(b)?\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.332 in -2, 0, -340?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-12)*(170 - (-147573)\/(-855))?\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + p - 30 + 4, 0 = -2*j - 5*p + 52. Calculate the remainder when 75 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -4\/3 (b) -2\/9 (c) 2\/19 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9006 + 888866.\nAnswer: 897872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24821289 by -123489.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 1 + 1)*(-2*t + 9*t - 3*t)*(4*t - 3*t - 2*t).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 (base 11) in base 10?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -101*a**3 - a**2 + 798*a + 2399. Give t(-3).\nAnswer: 2723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 89997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:10 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 440473, 880944, 1321415?\n\"Answer: 440471*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2 - 2301*h + 2302*h to the form a*h + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 + 85 = -7*p. Suppose -13*u + 10*u + 60 = 0. Calculate the least common multiple of p and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(250\/(-85) + 3))\/1. What is the greatest common divisor of 68 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -3*i**2\/2 - 9*i - 810. Let o(w) = w + 1. What is m(k) + 5*o(k)?\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6645 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + (sqrt(605) + 0)*2 + 3*(4 + sqrt(605)*-1))*1*3)**2.\nAnswer: -3564*sqrt(5) + 8361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*o - 6, 4*s = o + 33 + 8. Suppose 4*r - 28 = -5*h + h, -h - 2*r = -s. Calculate the remainder when 8 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -3 (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7 = -v + q, -2*q - 2 = 0. Let c(h) be the second derivative of h + 13\/54*h**4 + 2\/9*h**v - 2\/45*h**5 - 11\/27*h**3 + 0. Let c(k) = 0. What is k?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-20)*p\/(p**(-30)*p*p) assuming p is positive.\nAnswer: p**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2\/5 + 8496*s\/5 + 4511376\/5 = 0. What is s?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.02*6.\nAnswer: 108.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24819\/2 (b) -1\/70 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-82 - (-35 + 22))\/(-4 - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnjccjcnnnx. What is prob of sequence cj?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l + 3 = 0. Calculate the lowest common multiple of ((-112)\/16)\/(1\/(-2)) and (-4 + l - 5)*-2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o. Let b be (o\/1)\/(1*-2). Suppose b = i + i - 5*k - 59, 2*k + 68 = 2*i. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -25 (b) 0 (c) -13 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyllylyylllyylllly. What is prob of sequence ll?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 35*n. Calculate the remainder when c(1) is divided by 7 - (3 + -14 + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -11*k**2 - 10*k + 2. What is the derivative of q(s) wrt s?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 170*j**3*s - 1273*j**3 + s wrt s?\nAnswer: 170*j**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 0)*(-4 + 0 + 2) - 445 - 2700 - 1612)*(s - 3*s + s) to the form v*s + g and give v.\nAnswer: 4759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**2 - 6*i**2 + 33*i**2 - i**2 + 99*i**2.\nAnswer: 158*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = -11*f + 332 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let j = 20 + -10. Suppose -5*l + 0 = -j. Let g(r) = -3*r + 5*r**l + 3*r - 4*r**2. What is d(g(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-14) + -2)\/(121\/(-242))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001289 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7222, -7536, -7852, -8170, -8490, -8812, -9136?\n\"Answer: -k**2 - 311*k - 6910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**3 - y - 2. Let m = 55 - 56. Let b be d(m). What is the lowest common multiple of 4 + -1 - (1 - b - -3) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261.\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -63*c - 307. Let p(f) = -11*f**2 - 316*f + 82. Let w be p(-29). Determine a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 34 - 126 = 0. Let j(o) = -7*o**2 - 3. Let f be j(-3). What is the remainder when 13\/(-3 - f\/21) is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:20 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-11138)\/16 - 2). Let x = -698 - k. What is the common denominator of x and 33\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1513*g - 70669 - 232634 = 9290*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2. Let t(h) be the third derivative of 0 + 7*h**2 + 0*h**3 - 1\/12*h**4 + 0*h. What is t(j(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 13*t - 72. Let p be z(-18). Is p greater than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34579, -137490, -309013, -549148, -857895, -1235254?\nAnswer: -1681225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*(5 - -22). Let x = v + -4. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - z - 3)*(1394 + 1389 - 3297*z - 4179 + 1396) in the form i*z + o*z**2 + v and give o.\nAnswer: 3297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*l - 7 + 91*l + 87*l)*(4 + 0 + 2)*(-2 + 1 + 2).\nAnswer: 30*l - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2896301\/143 - 20254. What is the common denominator of (-1)\/(-13)*255\/(-25) and g?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 2, f: 2, s: 3, x: 9}. What is prob of picking 2 f, 1 p, and 1 x?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 452 and 452.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2\/1543, 1\/12.\nAnswer: -4\/9, -2\/1543, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 942737 + -334483. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 41*d - 42*d + 10 = 0, 0 = -2*b + 5*d + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v - 75*v = -12. Suppose 4*c + v*l = -60 - 116, 4*l + 219 = -5*c. Put -5, -4, c in ascending order.\nAnswer: c, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 378?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22742.37999937 + 22743.28. Let v = -515.1 + 516. Let r = j - v. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose -f*h = 4*r - 45 + 9, -5*h + 24 = r. Suppose 3*l - 2*l = 2*q + 13, h*l - 4*q - 32 = 0. What is the smallest common multiple of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210813557 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = 73*a - 147*a + 46 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 2, l: 1, h: 4, p: 1, a: 3}. What is prob of sequence dli?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.33392 litres in millilitres?\nAnswer: 6333.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*x - 38 + 75 - 87*x**3 - 39 wrt x?\nAnswer: -522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f + 3. Let t be 9\/(-54) - (3 + (-213)\/(-18)). Let z(x) = x**2 - 7*x - 18. Let w be z(9). Let y be (14 + t)*(-4 + w). Give a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-25)\/120*(-3)\/10. Which is the nearest to i? (a) 2\/3 (b) 1\/3 (c) 0.02 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Let t(o) = 5*o**2 + 55*o + 120. Let l(a) = 5*d(a) + t(a). Factor l(c).\nAnswer: 5*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1504*a - 3290. Let d(m) = -94*m - 210. Let i(c) = -47*d(c) + 3*p(c). Let q(t) = -2*t. Determine i(q(s)).\nAnswer: 188*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**7\/84 - 31*a**5\/40 - a**4\/12 + 16*a**3 - 40*a**2 - 34*a - 6. Find i such that c(i) = 0.\nAnswer: -4, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38\/13 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1392, -2775, -4148, -5505, -6840?\n\"Answer: t**3 - t**2 - 1387*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 k when three letters picked without replacement from jkxjdwu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - ((-1 - -45) + -22 - -21)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/8)\/((-412)\/80 + 5). Let b be 4\/5*15\/2. Solve 0 = -b*r + r + u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:06 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59\/8*i**2 - 1\/4 - 57\/8*i.\nAnswer: (i - 1)*(59*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**8\/336 + 121*s**6\/20 + s**5\/60 + 71*s**3\/6 + 5*s**2 - 71*s. Find the third derivative of j(d) wrt d.\nAnswer: -60*d**2 + 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 5*m - 2. What is v(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404555493 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2317789533 + 3.\nAnswer: -2317789530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211990779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 63*t**3 + 9434*t**2 - 2396*t + 578. What is h(-150)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -15.8. Let c(u) = u**2 - 26*u + 57. Let x be c(29). Let i = -142 + x. Sort d, -5, i in decreasing order.\nAnswer: i, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {w: 1, p: 1, j: 1, h: 2, a: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + f**3 - 55*f**2 + 55*f**2 as n + g*f + k*f**3 + q*f**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 - 638634912*o = 0 for o.\nAnswer: 0, 159658728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (73 + -2)*(5 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:47 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*n + 674 + 626, 0 = -5*n + 3*f - 1300. Let p = -1460 - n. Round p to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from ppzpwpwxz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, 4, 111, -122\/5 in descending order.\nAnswer: 111, 4, 1\/4, -4, -122\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*a - 7*a**3 + 5 - 81*a**2 - 293 + 5*a**3 + 43*a**2 + 4*a**2.\nAnswer: -2*(a + 4)**2*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5420, 19489, 42234, 73667, 113800, 162645?\nAnswer: 220214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 22*f**2 + 2*f + 3. Let i be v(1). Solve i*r + 130 = 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, q: 1}. Give prob of sequence qr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u. Let k(v) = 17*v + 1107. Let q(i) = 5*i + 366. Let d(b) = 3*k(b) - 10*q(b). What is j(d(l))?\nAnswer: 8*l - 2712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -364 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 859135085 to the power of 1\/3, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874192, 1748383, 2622574, 3496765, 4370956, 5245147?\nAnswer: 6119338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -383117710?\nAnswer: 383117712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -125.6 and -34.49.\nAnswer: -160.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.03 + 0.908. Let g = b - -0.012. Round g to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/7, 2, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 5*g**4\/8 - g**2. Let r(y) = -y**2. Calculate r(z(t)).\nAnswer: -225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 + 0.7. Let z = -4 + 7. Which is the nearest to z? (a) -1\/2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = -4*g + 4, 2*d + 3*g - 4 = 0. What is the closest to d in -0.5, -3\/5, 2\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-4) + 3*(-5)\/60. List the prime factors of (-113)\/((-70)\/21 - p).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 - 2*b - 22. Let u(x) = -6*x**2 + x + 23. Let s(p) = -5*i(p) - 6*u(p). Let r be s(-8). Solve 4*l = -a - 12, 6*l + 2*a = r*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 359469458.\nAnswer: 359469458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**2 + 10*u + 7. Let y be b(-4). Let t = -190 - y. Solve 0*w + t*w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20220112110101 (base 3) to base 15\nAnswer: 4c7d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 22*z - 111*z + 4 - 4.\nAnswer: -89*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4008*x. Let g(t) = 6*t. Calculate h(g(k)).\nAnswer: -24048*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -16, 1, 850, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.2, -104.852 in decreasing order.\nAnswer: -0.2, -27, -104.852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 10) + (-2 + 2 - (-14 - -9))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85282000 rounded to the nearest 1000000?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 10*c - 8. Let l be u(11). Is 3 a factor of (-2 + l - -6)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - g - 5 = 0, 6*w - 3*w + 4*g = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75148.\nAnswer: 2, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1821 - -70979\/39. What is the common denominator of 33\/8 and r?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1.62.\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2988.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/8*4\/(-2). Let o = x + 7. Suppose -s = o*w + s - 100, 2*s - 8 = 0. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -66*n - 1400. What is the lowest common multiple of z(-46) and 18?\nAnswer: 14724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638657002 minus -9?\nAnswer: 638657011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*1*sqrt(720) + 3*(sqrt(720)*1 + sqrt(720)))**2 + 0 + 4*-2*sqrt(720))*-5*-2.\nAnswer: -5760*sqrt(5) + 2116800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8*-6*8\/(-12). Let p(h) = -2 - 3*h + 6 - z - 2. Give p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(2\/7)*c))\/c*c)**(1\/15)\/(c**(1\/9)*c\/c**(-6)))**(14\/13) assuming c is positive.\nAnswer: c**(-4492\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.1 + 18.3. Let r(b) = -45*b**3 + b. Let v be r(-1). Suppose 0*m - v = -4*m. Sort d, 3, m in increasing order.\nAnswer: d, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 42 + 38)*(3*i**2 - 3*i**2 - 2*i**2) - 4 + 2*i**2 + 4 in the form a*i + z + m*i**2 and give m.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-2)\/(260\/39)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 48. Let d be 158\/((1\/(-2))\/p). Suppose 0 = -2*r + 5*a + 189, -a = 3*r - 2*a - d. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - 10. Let y = k - -48. Let r = 22 - y. Which is the third smallest value? (a) -1 (b) -9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (6 - 1)) + 38 - 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 + 183 - ((0 - 0 - -4) + (-345 - -216))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/1561 + 421\/1561. Factor 2\/7*t**3 + o*t**2 - 2\/7 - 2\/7*t.\nAnswer: 2*(t - 1)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472 and 619.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 10) in base 14?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -199531 in 3, -4, -0.3, -2\/3, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 5. Let w(k) = k**3 - 4*k**2 - 3*k - 7. Let x be w(5). Let z = x - c. Solve z*y = 3*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 20. Suppose -43*z - 856 = -555. Calculate q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213 - 2300132?\nAnswer: -2302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088809017?\nAnswer: 3, 362936339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + x - 10 = 2*z, 5*z - 50 = -2*x. Calculate the remainder when 39 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-16) + ((-510)\/80)\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(448) + -1)**2 + (-1*sqrt(196))\/(-1*sqrt(7)*4 + sqrt(7)).\nAnswer: 98*sqrt(7)\/3 + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/6 + -6)\/(6\/16). Let t(k) = k**2 + 6*k + 5. Determine t(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 4*t - 31 = -4*o, 14 = -2*o + t. Suppose -r = r + n, r = 3*n - 7. Which is the third biggest value? (a) o (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 1:32 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o - 10 = 0, -4*i + o = 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -3 - 39) + 24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.971 + -39. Let s = 5.111 - p. Round s to one dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 72870?\nAnswer: -72870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21667 - 21667.09. Which is the closest to 1\/3? (a) -0.25 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 2*x + 59, 0 = 3*u + 3*x - 39. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*m**3 + 39*k**3 + 18*k*m**4 - k wrt m.\nAnswer: 3*k**3*m**2 + 72*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5 + 671601*k**4 - 3626343*k**3 + 6043767*k**2 - 3894834*k + 805824 = 0. What is k?\nAnswer: 2\/5, 1, 3, 44768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, 114, 2\/15, 0.2, -1\/16, 1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107016 and 3576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46405536 (base 7) to base 5.\nAnswer: 2020204111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnwgnwnnncggn. Give prob of picking 1 n and 1 p.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 + c**5\/15 - c**4\/4 + 7*c**2. Let q be i(-8). Is q\/(-3) + (-8)\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/(-3))\/((-550)\/(-300)). Solve 2*g - 35 = -5*p, 3*p = -z*g - 0*g + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2578 = -16455. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = l, 4*i - i - 2*l - 8 = 0. Suppose -1920 = -12*f - i*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from lfubkub.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n + n**2 + 0*n**3 + 1\/120*n**6 + 0*n**5 + 1\/105*n**7 + 1\/336*n**8 + 0*n**4 + 0. Solve z(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78482351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*z**2 - 18841*c*z + 3464*c - 11294904*z**2 wrt z?\nAnswer: -10*c - 22589808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 96 - 106 - (9 + -3 - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p + 1. Let j be z(4). Suppose -161 = j*c - 696. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 - 352?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1320 + -2?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:31 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 + 194. Let k = -139.3 - f. Is k less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -7*a. Is 924\/3 + 6\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.016, -1489, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 376. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and 77\/19808.\nAnswer: 217888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-2420)*89 + 15\/(-20) + 9 + -11.\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185266126, -185266124, -185266122, -185266120, -185266118?\n\"Answer: 2*z - 185266128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 265, 530, 795, 1060, 1325?\n\"Answer: 265*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r + 8*r - 27*r + 4*r - 3 to the form q*r + h and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1894 - -16?\nAnswer: 18aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5 + 5*i**3\/3 + 9. What is the third derivative of m(v) wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6356*j - 2027588. Give b(319).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 11. Let z be h(7). Let g = 1 - 1. What is the closest to 2\/3 in z, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 18. Let v be p(-6). Suppose -v*z = -59 + 83. Let m(y) = y**2 - y - 17. What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/2 (b) 28\/9 (c) 24 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 6. Let s(f) be the first derivative of -f**2\/2 + 2*f + 6. Determine 2*j(i) + 7*s(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let n(g) = 4*g + 4. Let a(y) = 2*h(y) - n(y). Suppose -1 = -m - 5. Calculate a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/100 - 7*i**4\/30 - 3*i**3\/10 + 113*i**2\/2 + 17*i. Let j(q) be the first derivative of x(q). Factor j(v).\nAnswer: -(v + 9)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r + 56*r = -18. What is the derivative of 7*s**2 - 56*s**r - 28*s**2 + 110*s**3 + 89 - 53*s**3 wrt s?\nAnswer: 3*s**2 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*k + 17 - 17 - 119*k - 181*k)*(44 - 44 - 9*k) in the form o + a*k**2 + m*k and give a.\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 16 = -11*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19761\/26 greater than or equal to 760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -52\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36165047+-1688608\nAnswer: -37853655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, -26\/717, -1, -0.2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2931, -2966, -3005, -3048, -3095, -3146?\nAnswer: -3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*g - 131 - 325 = -15*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77096789*c**2*s + 43100*c*s - 1415*s wrt c.\nAnswer: 154193578*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5*h + 49*b**3*h**3 - 11*b**2 - 3*b*h**3 - 3*h wrt b?\nAnswer: 120*b**2*h + 294*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -7*q**5\/60 + q**4\/24 - 9*q**3 - 40. Let o(b) be the third derivative of d(b). Let a(h) = h**2. Give a(o(g)).\nAnswer: 196*g**2 - 28*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694419 is divided by 693?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/222)\/(16\/(-42)). Let n = 18411\/370 - 249\/5. Let k = n + z. Put -5, k, 1 in decreasing order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81419, 163006, 244753, 326654, 408703, 490894, 573221, 655678?\nAnswer: 738259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 23*c. Let x(z) = -2*z - 44. Calculate the remainder when d(1) is divided by x(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 - u**3 - 8*u + 7 - 4 to the form q + s*u + j*u**3 + h*u**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2060, 8270, 18616, 33098, 51716?\n\"Answer: 2068*c**2 + 6*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(2) + sqrt(4)\/sqrt(2)*3 + 0.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2977.1, -3\/4 in increasing order.\nAnswer: -2977.1, -3\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f**(-8\/9)*f)\/f)\/f*f*f\/(f\/(f\/(f*f\/f**(-10)*f))))\/((f\/f**(4\/3))\/(f*f**17)) assuming f is positive.\nAnswer: f**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -196*f**2. Let y(j) = -35*j + 21*j + 15*j. What is v(y(z))?\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -86.\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 800 + -799.5. Let j = -14 - 3. Which is the nearest to j? (a) -1\/4 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -896, -1343, -1790, -2237, -2684?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 36*a**2 - a + 27. Let p be c(36). What is the lowest common multiple of 2\/1 - p\/18*28 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h. Let z(r) = 4*r. Let u(q) = 3*p(q) + 5*z(q). Let i(s) = s**2 - 9*s. Determine u(i(k)).\nAnswer: -k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 326.9 + -326.4. Sort 489, -4, 2, n in decreasing order.\nAnswer: 489, 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -376 - -389. What is the second smallest value in t, -5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 4*y**2 + 5*y - 1. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(2*v - 7*v + 2*v) - v + 4*v + 0*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -r, -5*l - 27 = -7. Let x be 1 - ((-2 - 0) + 3). Let j be x\/(3\/(-1) + 4). Solve j = n - 3 + r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - -17 - (74 + -31 + -5))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 387*z**2 - 5635*z - 8286. Give x(-401).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.9848985 to 0 decimal places.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 27. Let f = r - 2. Suppose -f = -2*k - 2*n + 30, -4*k = -n - 52. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.652 and 7335.\nAnswer: -12117.42","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6792164724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23360 is divided by 1791?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*r + 610 - 201, 0 = -3*f + 4*r - 239. Let y = -30 - f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12966398*f**4 - 1605627 wrt f.\nAnswer: -51865592*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*p - 880 = -560*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 8 - v - 8*v + 16 to the form c + i*v and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 + 195. Let p = -1.1 - -0.1. Let b = p - -0.7. Put b, 4, j in descending order.\nAnswer: 4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 917*t**3 + 2*t**2 - 3*t + 1. Is m(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -506225\/11958 + 1\/3986. Let z = m - -42. Let q = -1 + -1. Which is the third smallest value? (a) 1\/2 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*y**3 - 23*y**3 - 43870*y**5 - 1 + 56*y + 43869*y**5 wrt y.\nAnswer: -20*y**3 - 990*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2809435 - 2809435 - 4*d. Let l(r) = 32*r**2. Give b(l(c)).\nAnswer: -128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m + 32 = 0, 0 = -15*m + 11*m - 16. Solve 5*h = 3*q - 2, -j*q + 4*h - 4 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.6 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(7 - 3 - 2)*(3885*y - 624*y - 872*y - 1183*y).\nAnswer: 4824*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59795.174 take away -2?\nAnswer: 59797.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 63*i - 4593. Let l be b(-44). Solve -l*g + 120*g = 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 24*d - 9. Let u be c(6). Let p = 177 - u. Calculate the greatest common factor of 66 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 + 65406?\nAnswer: 65551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -33*l + 40*l + l**2 + l**3 - 7*l**2. Let t be x(5). What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*((-11675)\/3 + (-200)\/40)?\nAnswer: 2, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - v - 2*v)*(v**2 - 8*v + 2*v**2 + 6*v) to q*v**2 + a*v**3 + d*v + f and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*s + 5*s + 5*s)*(33 - 58 + 37) in the form h + u*s and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 4*p**3 + 3*p**3 + (-81*p - 656 + 656)*(-4*p**2 + p**2 + 2*p**2).\nAnswer: 83*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 18 = -x, -9*x + 11*x + o - 54 = 0. What is the remainder when 71 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2\/5))**(-1\/15)*((r*r**(1\/2))\/r)**(-3\/2))\/(((r\/r**(1\/2)*r)\/r)**(6\/13))**(12\/17) assuming r is positive.\nAnswer: r**(-23711\/22100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00243487 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/55 and 41\/79940.\nAnswer: 879340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*c = 2*o - 17, 5*c = -5. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 5*l + 12 - 5 - 8*l**2 - l. Let t be w(-7). Suppose t = -7*o + 4*o - 4*v + 40, 0 = 3*o + 3*v - 36. Solve 3*z + o = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 1 - 1)*(-4*j + 5*j - 2*j)*(33*j + 0*j - j) to the form i*j**4 + v + f*j**2 + n*j + u*j**3 and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n**3 + 29*n**2 + 2*n + 2. Let s(f) = 27*f**3 - 59*f**2 - 5*f - 5. Let a(x) = 5*h(x) + 2*s(x). Find the third derivative of a(y) wrt y.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141594983 to the power of 1\/2, to the nearest integer?\nAnswer: 11899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v**3\/6 - 12*v - 33. Let p(d) be the first derivative of r(d). Let f(z) = z**2. Give p(f(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab6 (base 12) to base 13.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 = -105. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14992 and -55\/849?\nAnswer: 12728208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*(-24)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-2\/9)\/d)*d*d**(-3)*(d\/(d*d**2*d))\/d*d*d*d*d**(3\/4)*d*(((d*d*d\/d**(-8))\/d*d)\/d)\/(d\/((d\/d**(-1\/7))\/d))*(d\/d**0)**(1\/2) assuming d is positive.\nAnswer: d**(2675\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o + 9. Let y = 1 - 1. Let m = -181 - -182. What is the least common multiple of m and t(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 45 = -5*v, 5*m + 16 = 5*v - 29. Find the second derivative of -25*z**3 + v*z**5 - 2*z**5 + 25*z**3 + 18*z wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-615)\/(-102) - 6) + (-411)\/102.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {s: 3, m: 3, e: 5}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 57*d**2 - 608*d - 181. Determine u(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75895 - -114871. Is 84 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62205520357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*z + 27, -2*g + 4*z = -5*g - 15. Let q(w) be the second derivative of 0 - 1\/12*w**g - 1\/48*w**4 - 1\/8*w**2 - 3*w. Factor q(c).\nAnswer: -(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 2. Let t be d(2). Differentiate 0*p**2 - 3*p**4 - 3 + 0*p**2 + t*p**2 with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13293 and -472.\nAnswer: 12821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 0.3 (c) -2\/19 (d) -2 (e) 1357 (f) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2484, 8643, 18246, 31287, 47760, 67659, 90978, 117711?\nAnswer: 147852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -47\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7681821?\nAnswer: 3, 7, 43, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - -4) - -2) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7877, -15755, -23633, -31511?\n\"Answer: -7878*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + 2))*-2 + (sqrt(55)\/(sqrt(35)\/sqrt(252) + sqrt(5)))**2.\nAnswer: 592\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4489841 - 173194154?\nAnswer: -177683995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 43. Let b be r(0). Is 42 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 551 - 2526 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, c: 7}. Give prob of sequence ccw.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 12*d**2 - 8. Let q(k) = -2*k**3 + 12*k**2 + k - 7. Let f(x) = -3*q(x) + 2*r(x). Let w be f(6). Is w at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/51294 and -169\/1877484.\nAnswer: 155831172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 2)*(-3 + 2 + 0) - 3 + 0 + 4)*(-g + 3*g + 2*g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let n be l(-1). Let g = -55.598 + -0.202. Let f = -58.8 - g. Which is the smallest value? (a) 0 (b) n (c) -0.2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 51. Suppose 108 = 4*w - 0*w. Solve y*g = 4*i - w, 0 = 4*g + 4*i + 4 + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(6\/19)*q\/((q\/(q\/(q**(13\/3)*q)))\/q)*q)\/(q*q**(-9))**(8\/15))**(-25) assuming q is positive.\nAnswer: q**(-5155\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4096856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 86*w**2 + 27*w**2 + 61*w**2 + 3*w**4 - 1 - 3*w**3 + 0*w + 3*w in the form a*w**4 + q*w**3 + k*w + p + f*w**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**4\/33 - 9*b**3\/11 + 7*b**2\/11 - 2*b - 4. Factor y(k).\nAnswer: -2*(k + 7)*(4*k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 2*g**2 - 2*g + 9. Let n(j) = 2*j**3 + j + 7. Determine n(h) - u(h).\nAnswer: 6*h**3 + 2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (-120)\/44) + 470010\/330?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*n + 86 + 2, -n - 4 = 0. Let r = c + -2. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 - -0.82. Let o = q + -0.3. Let x = -2 - -3. Put o, -1, x in decreasing order.\nAnswer: x, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.87*0.5.\nAnswer: 21.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 23 + -9 + 10 - -15 - (-1 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.61 - -4.61. Which is the second smallest value? (a) -4 (b) -8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*l - 56*l - 2. Solve l*i - 3 = 5*g, -4*g - 13 = 4*i - 33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-5))\/2*(-140)\/28. Calculate the smallest common multiple of 11 and (-4)\/8 - (3 + 92\/w).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3 + 67908*b**2 + 661*b + 215.\nAnswer: 42*b + 135816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, -1\/4 in decreasing order.\nAnswer: 5, -1\/4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9455 = y + 58. Let d = 6123 + y. Is (2\/(-4))\/(5\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 527, 536, 569, 638, 755, 932, 1181?\n\"Answer: 2*m**3 - 5*m + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95\/32 - 1285\/352. Suppose 4*v + 0*z = 2*z - 10, v + 5 = -2*z. Calculate the common denominator of (v\/(-12))\/(8\/(-166)) and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 + 187*k**3 - 18*k**2 + 15?\nAnswer: -48*k + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*x, -6*x + 2*x = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 5*y, -5*s - y - 3*y = 25. Let l be ((-1)\/(-1) - -56) + (-2 - s). Let g be (-353)\/(-5) - 36\/l. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let x be (-10)\/3 + 1\/b. Let u be x\/(-9) - (-4)\/6. Solve -a - u = -4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8151377713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.511 (b) -10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 2*t - t)*(-4 + 1 + 0)*((0 - 5 + 3)*(-3 + 2 + 3) + 76 - 70 - 337 + (-3 + 1 - 4)*(-2 + 2 - 2)) to the form u*t + c and give u.\nAnswer: 1938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + n + 2)*(505*n - 76 - 1011*n + 503*n) to r + v*n + x*n**2 and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 349.\nAnswer: -94\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -1120, 5, -5.\nAnswer: -1120, -5, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -90\/1001 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 + -2.7?\nAnswer: -679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 10. Let m = 10 - i. Solve -5 = 5*v + 2*u + 11, -4*v - m*u - 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 = 3*g - 1230. Let k = -675 + g. Solve 7*u + 8 = -k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idxxiiixdxxi. Give prob of picking 3 i and 1 d.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.48 (b) 3 (c) -4434 (d) 0.3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1054 greater than or equal to -1056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191957, -383543, -575129, -766715, -958301?\n\"Answer: -191586*j - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/150 + (-52)\/(-20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) 0.3 (c) 1\/2 (d) -2\/23 (e) -219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118750 - 33398.\nAnswer: -152148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -130448 - 6.5037279\nAnswer: -130454.5037279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/12*-6 - 0. Are -1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/17 (c) -6 (d) -1\/5 (e) -2 (f) 470 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1935 and 774.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v + 1. Let d(t) = t. Calculate 4*d(i) - k(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -438*s. Let i(n) = -383119*n. Give c(i(q)).\nAnswer: 167806122*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1300312021 (base 4) to base 10\nAnswer: 462217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/120 - 49*u**5\/60 - 49*u**4\/24 - 4*u**3 - 37*u**2 + 3*u. Let t be j(-48). Solve -5*y - 34 = -t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlzlllzlzzllzzl. What is prob of sequence zlzz?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 5083.0046.\nAnswer: 5083.5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8604 = -9073*w + 9055*w. What is the remainder when 1447 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.579 - 0.5784088. Round d to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14703*b - 2946. Let z be c(-3). What is z rounded to the nearest one hundred?\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -0.24. Let d = -12\/7 + 9\/7. Suppose 7*g - 15 = 4*g. Which is the closest to 1\/2? (a) d (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(4 + (sqrt(117) + 3*sqrt(117))**2 + (sqrt(468) - (sqrt(468)*2)**2) + sqrt(52) + 2).\nAnswer: -80*sqrt(13) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4241 and -14?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 521474 - 1568513 - 1156328. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/9792 and -143\/32640?\nAnswer: 97920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 116.000041. Round f to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*v - 1786*v = -14201 + 61619 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10615 and 17183755.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 649d (base 15) to base 2\nAnswer: 101001100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4 - 4457428*p**3 - 1 + 4457469*p**3 - 3*p)*(4 - 2 + 1).\nAnswer: 123*p**3 - 6*p**2 - 9*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Suppose 2 = 4*h - 6. Let m(z) = 4*z - 3*z + 2*z**h - z. Calculate m(l(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008947641 to 5 decimal places.\nAnswer: -0.00895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 2*m + 1458, -2*u = -3*m - 1460. Is u a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5190 - 5148. What is the remainder when 157 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/54)\/((-29)\/261).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (20 - -18)) + 3 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/8 + 4*h**2. Let c(b) be the third derivative of b**4\/12 + 30*b**2. Determine c(l(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {c: 1, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12495 and 1020.\nAnswer: 49980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 0.3. Let z = -0.5329 - -0.3729. Which is the nearest to 2\/5? (a) -0.5 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 5*o - 15. Suppose 317 - o = 4*k. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*u - 14*u**5 + 18*u + (2*u**3 + u**2 - u**2)*(3*u**2 - 3*u**2 + u**2).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, 1, 42, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 87 - 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 432188 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 571 or 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/720 - x**5\/60 + 3*x**4\/8 - 12*x**2. Let d(s) be the second derivative of p(s). Calculate d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krrk when four letters picked without replacement from {k: 6, r: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/7489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.016, -3, 1, 552, -1?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**7\/420 + 17*g**4\/12 + 12*g**3 - 19. Let t(j) be the third derivative of f(j). What is the first derivative of t(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aaaaaavaaaabaavvab.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10 + 9)*(0 + 0 - 3*n) - 153*n - 156*n + 375*n - 2 to the form x*n + r and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -4, -3, -10, 5, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5583.41227 rounded to the nearest ten?\nAnswer: -5580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 times -11037?\nAnswer: -14955135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 6. Let o(v) = 14*v - 4 - 5 - 8. Let u be (-51)\/9 + (-1)\/3. Calculate u*o(j) + 17*w(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -98.7. Let a = j - 6.3. Is a smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1758000)\/13185*(-6)\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(0*n**2 + 2*n**2 + 0*n**2) + n**2 - 2*n**2 + 2*n**2 + 68*n**2 + 1 + 8864*n - 8864*n.\nAnswer: 73*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117912 + -71?\nAnswer: 117841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -121. Calculate the common denominator of -167\/60 and o\/((-27)\/31) - 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 6489000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064284 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3691700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 + 3*q. Let d(j) = 2*j**3 - 9*j**2 - 5*j + 1. Suppose -4*m + 4 = 4*h, -5*h - 2*m = m + 3. Give h*d(s) - 5*i(s).\nAnswer: -s**3 + 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttyihhyhhwiyyhyyiy. Give prob of sequence wty.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5337500 and 10980?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -7*k**3 + 2*k**3 - 5*k**3 + 182*k**2 + 0*k**4 - 25*k**4 - 315*k + 28*k**2 + 135 + 5*k**5 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -446. Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = 5*w, 3*a - 3 + 2 = 40*w - 45*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + v**3 - 2*v**3 + 0*v**3. Let x be g(5). Let n be (-36)\/84*14\/4. Sort n, x, 0.5.\nAnswer: n, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239611 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -15 in increasing order.\nAnswer: -15, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 7 = -2*f. What is the highest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -14 + 2. Suppose q - u = -3. Let n be 2\/(-4)*3*(q - 5). Solve -5*x - n = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0247799931 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*23.15\nAnswer: 118.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 39*j + 6. Let b be h(-13). Solve -b*z + 9 + 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/90 + o**5\/60 + o**4\/8 + 13*o**3\/6 - 30*o**2. Let z(y) be the first derivative of l(y). Calculate z(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/96)\/((-10)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/(-6) - (-168)\/36 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(12\/(-36)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u + 4. Suppose -5*y + 68 - 18 = -5*c, -y + 4*c = -16. Let z be l(y). Let t = z - -1. What is the second smallest value in 2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**5 - 8*d**3 - 2*d**2 + 5*d - 2. Let z(y) = 46*y - 18*y**2 - 11*y + 3*y**2 - 55*y**3 + 50*y**5 - 15. Let r(u) = 15*b(u) - 2*z(u). Factor r(f).\nAnswer: 5*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 152.372885?\nAnswer: -152.272885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199055*f - 199052*f + 2*m + 51 = 0, 95 = f - 4*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzzyyyyzzyyy. What is prob of picking 2 y?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.74, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0 + 2*j**2 - 3*j**3 + 8 - 2*j**3 - 4. Let s(x) = 9*x**3 - 4*x**2 - 7. Let u(l) = -4*s(l) - 7*t(l). What is the third derivative of u(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7733*t**2*v**3 + 32*t**2*v**2 + t**2 + 6*t*v + v wrt v?\nAnswer: -46398*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 745406207 a multiple of 3205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from kzkzzkzzzzzkkkkkhzh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let p(i) be the first derivative of -i**4\/6 + 4*i**2 + 7. Let o(t) be the second derivative of p(t). Give d(o(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -7. Let v(c) = -c**3 + 12*c**2 - c + 14. Let y be v(q). Suppose 0*p**4 - 9*p**3 - 2*p**y + 4*p**2 + 7*p**4 + 0*p**2 = 0. Calculate p.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(94\/564*(-14)\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -37, -8, 21, 44, 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 7556486.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)\/(t\/(t**14\/t)*t) assuming t is positive.\nAnswer: t**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10)*3 - sqrt(10)))\/(sqrt(6) - sqrt(24)*-4).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7680724 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 9. Let n be 88\/(-14) - (-2)\/7. Let l be ((-1)\/3*n)\/11. Which is the second biggest value? (a) 0.4 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4 = -9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 1 - (11 + -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 - 6*g - 7. Let m be r(7). Suppose 2*j - 15 = -5*k - j, -23 = -3*k + j. Let p = m + k. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 1\/3, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*t - 27, k - 4*k + 45 = 5*t. Let m(c) = 2*c**2 + 35*c - 7. Let v be m(-18). Suppose -v*w + w + 40 = 0. Solve p = w*p - t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.64 - 15. Let t = j - -1.5. Let m = -0.09 + t. Round m to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 p, and 1 s when four letters picked without replacement from {k: 2, p: 1, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18215011?\nAnswer: 23, 31, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*r = -34, -3*l + 2*r + r = -15. Suppose -k + 67 + l = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/5892 + 63829\/5892. Let x(z) = 28*z**2 - 13*z - 4. Let w be x(6). Let a = 3685\/4 - w. Calculate the common denominator of g and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6103 take away 322?\nAnswer: -322.6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1823 - -0.0377. Round l to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000296805 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -4541, 93 in descending order.\nAnswer: 93, -3, -6, -4541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77291555*x**4 + 10830862*x**2 + 2?\nAnswer: 1854997320*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2. Let m(r) be the second derivative of 5*r**4\/4 - 4*r. Let n(i) = -3*i**2. Let u(g) = -2*m(g) - 11*n(g). Give x(u(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143060 by -35765.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 19. Let d be 8\/(-6)*(u + 3). Let v be 73\/3 + d\/6. Calculate the greatest common divisor of 225 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -61\/3. Suppose r + 1086 = -3*c, -c + 3*c = 4*r + 4344. Let g = r + 81452\/75. Put u, g, -5 in ascending order.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -1.5. Let w = 18.1 - 19. Let a = -0.1 + w. What is the nearest to -1\/3 in 1, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-2)\/(-2) - 1. Let z = -12 + 12. Put w, -4, z in decreasing order.\nAnswer: z, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5079 by 1693.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = -6. Let w be (24\/x)\/(-2 - -1). Calculate the greatest common factor of 80 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263170 is divided by 10105?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1954\/7 + -810896\/2905. Is -1\/3 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 4\/(-12))*-15. Let m be 7 - n - (-2 + 1). Suppose -m*h + 28 = -26. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 12\/2) + 78 + -72. Let u be (-52)\/154 + 32\/112. Which is greater: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3532*t**3 + 9*t**2 + 3. Let p = -1 + 12. Let g be x(p). What is g rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 7}. Give prob of sequence dbd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 48 = 4*g. Solve 20*c = 22*c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 168*o - 23. Is u(0) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s - 3. Let r(h) = -h**2 - 7*h - 4. Let n be (-2 + 0 + 2)*1. Suppose 6*t - 30 = -n*t. Calculate t*r(m) - 6*p(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10*3\/(-9)*12\/(-196)*7\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 297, 296, 295, 294?\n\"Answer: -r + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**3 - 4221524 + 4221524.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 96*j**2 + 8*j - 329. Give w(48).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6132*j**2 + 599*j**2 - 6838*j**2 + 37027 - 37027. Let l(q) = 2*q**2. Determine d(l(k)).\nAnswer: -49484*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 5 + (-108)\/20 - 247*(-7)\/35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154 (base 8) in base 16?\nAnswer: e6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339415270 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 14*u - 45 + 208, -26*z + 28*z = 4*u + 38 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3266999410 + 3266999410 - 65684*c**3 + (-3*c**2 + 5*c**2 - c**2)*(0 - 3 + 1)*(c + 4*c - 4*c) to the form l*c**3 + q + k*c**2 + b*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 17695?\nAnswer: -1769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from wkvrv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 325, 476, 627, 784, 953, 1140, 1351?\n\"Answer: w**3 - 6*w**2 + 162*w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57009)\/(-4) - (-13)\/(-104)*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m + 16. Let u(s) = -8*s + 8. Calculate 7*u(z) - 3*x(z).\nAnswer: -14*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.96 - -4.76. Put 0.1, -5\/7, b in ascending order.\nAnswer: -5\/7, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4486, 8976, 13468, 17962?\nAnswer: 22458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 1114*g - 1165*g + 61. Let t be (-32)\/(-20) - (-6)\/15. Put -1, 3, g, t in decreasing order.\nAnswer: 3, t, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)\/i)\/i)**15*(i*(i\/(i**(2\/11)*i*i))\/i)\/(i\/(i*i*i**(-3\/2))*i) assuming i is positive.\nAnswer: i**(-829\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275420 and 234400.\nAnswer: 11016800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -2.997?\nAnswer: -2.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.042 (b) -5 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, j: 1, v: 1, h: 1}. What is prob of sequence hj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 130 + 202 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 33, 0.2, -154?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 8*m**7\/21 + 694*m**6\/15 - 827*m**5\/5 - 2323*m**4\/3 - 1594*m**3\/3 + 712*m**2 + 1912*m. Determine v, given that u(v) = 0.\nAnswer: -89, -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-4 - ((sqrt(66)*-2*-3 - sqrt(66)) + sqrt(66)))\/(sqrt(48)\/(sqrt(8)*3 + sqrt(8)) + (sqrt(6) - sqrt(42)\/sqrt(7))*2).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d = -1195975, -d = 4*j - 6*d + 1594665. Is 4\/(-38) - j\/380 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 344*m**2 - 1060*m + 712 = 0.\nAnswer: -89, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 6. What is the units digit of (t\/6)\/((-2)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -20.91?\nAnswer: -2.5092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*c + 158 - 130, -3*x + 24 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78332 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(208)*-3 + 3.\nAnswer: -11*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1*(-2 + sqrt(175)) + sqrt(175) - sqrt(175) - (3 + -1*sqrt(175))) + (sqrt(175) + sqrt(175) + sqrt(175)*-1*1 + sqrt(175))*2)*3)**2.\nAnswer: -3240*sqrt(7) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21467.6 - -21465. Which is the biggest value? (a) o (b) 2\/47 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3868 is divided by 261.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhhhazh. What is prob of picking 3 a and 1 h?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 13) in base 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.01, 1.4, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957 + 2010 + 2*j**3 - 3967.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13169*m**5*r + 2*m**3 + 14*m**2*r + 9*m**2 + 2*m*r - 21*r wrt m?\nAnswer: -790140*m**2*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(0*g + 4*g - 3*g) + 2*g - 4*g + 5*g + 5*g - 3*g - 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 608?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by (-3 - -3)*(-4)\/(-8) - -76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 105 = 5*p, -2*t + 5*p + 7125 = 7008 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56049, -223619, -502721, -893355, -1395521, -2009219?\n\"Answer: -55766*s**2 - 272*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -647, -649, -651, -653, -655?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 5. Let h be (0 + 8)*3\/(-1). Let p(d) be the third derivative of 5*d**4\/6 + 4*d**3 - 2*d**2 + 93*d + 94. Give h*l(y) + 5*p(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/1872)\/((-7)\/(-210))*65?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286988, -573970, -860952?\nAnswer: -1147934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 - -254. Suppose w*c - 36 = -i, i = 5*c - 4*c - 12. Sort c, -1, 5 in increasing order.\nAnswer: -1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*v = 2, -12 = -w - 3*v - 5. Let z = w + 2. What is the units digit of 4*(-3 + 57\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 127287.\nAnswer: -2\/127287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3492*w**2 - 3*w + w - 3527*w**2 + (-2*w - 3*w + w)*(11*w - 11 + 11) + 3*w**2 - 2*w**2 - 3*w**2.\nAnswer: -81*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-105))\/((-40)\/(-5300))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7238 - 14481 + 7225 - k**2 + k)*(-4 + 2 + 1).\nAnswer: k**2 - k + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = -2*u - 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80407153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15408761 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*i**2*y - 17*b*i*k**2 - 2*b*i*k*y + 3*i**2*k**2*y - i**2 - 44*i*k**2*y wrt b?\nAnswer: 3*i**2*y - 17*i*k**2 - 2*i*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381 - 250. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563 divided by 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 1. Let t(l) = -l**3 - 7*l**2 - l - 5. Let r(y) = 15*n(y) - 3*t(y). Factor r(j).\nAnswer: 3*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-40)\/(-25) - 2\/5. Differentiate 48*o + 38*o - 131*o + c with respect to o.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/(98\/147). Let l(r) = 34*r + 172. Let q be l(h). Solve 5*x + 29 = -4*i, i + 4 + q = -x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -m + 4*m. Let j be 2\/7 + (-3)\/m. Sort j, -0.06, -4.\nAnswer: -4, -0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -29*a + 17\/6*a**3 + 0 + 0*a**2. Let q(w) = -3*w**2 + 3*w**2 - w**2. What is q(p(z))?\nAnswer: -289*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 18 + -35 + 8 - -16) + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870730509.\nAnswer: 3, 11, 37, 713129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(2\/8). Let p = -0.2 - 0. Let g = -3.3 - -0.3. Put g, p, v in decreasing order.\nAnswer: p, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 1266*n + 24376. Give c(18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -269, -399, -529, -659?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (150\/1125 + 276\/(-45))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:11 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*m - 1970626 = 201*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1.31 (c) -7 (d) 0.11 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 400\/7, -5, 5 in descending order.\nAnswer: 400\/7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1080\/(-162) - (-2)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-21 - (-12 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -16. Suppose -t = -3*w + 4*t - 106, -5*t = -w - 32. Let v = q - w. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -41, -45, -49, -53?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-11)\/(110\/12)*(-44)\/2772?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 + 5*h**4\/6 - 5*h**3\/2 - 43*h**2. Suppose -4 = -3*s - 76. List the prime factors of i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*j**4 - 4*i*j**3 + 9*i*j**2 + 10*i - 93*j**4 - 2*j**3 + 26 wrt j?\nAnswer: -48*i*j - 24*i - 2232*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 1 + (-2200 - -2198)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. What is the derivative of 1 - p - j*p - 2*p wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1.5, 10\/9, -3\/10.\nAnswer: -1.5, -3\/10, 1\/2, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 477, 476, 475, 474?\n\"Answer: -m + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/11)*i)\/i)\/((i\/(i\/(i*i**(-3)))*i)\/i*i))**(1\/42) assuming i is positive.\nAnswer: i**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**0)**(5\/6)*g**(4\/9)*g**(-3\/11) assuming g is positive.\nAnswer: g**(182\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, 0.5, -1.\nAnswer: -1, -0.5, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + (sqrt(85)\/sqrt(5))**2 + (4*sqrt(85)\/sqrt(5))**2 - (sqrt(102)\/sqrt(6) + -2)*-5*-4) + -2.\nAnswer: -19*sqrt(17) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 8. Let m be d(-13). Solve -3*k + 7 = -m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 129 (b) -2\/7 (c) 0.4 (d) 1 (e) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001391081 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4213*g**2. Let o(d) = d. Calculate o(v(k)).\nAnswer: -4213*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + r - 13, 0*k - 4*r = 2*k - 26. Suppose 14*v - 145 = k*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10964060309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (1 - 8 - (-23 + -39))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -10 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + (36 - (1 + 20)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = 2*g, -5*r = -6*g + 8*g - 58. Suppose r = -3*f - d, -2*d - 2 = -4*f - 8. What is the third smallest value in f, -1, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 3 - (3 - -17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 774*n*v**2 + 2*n*v + 2*v - 220 wrt v?\nAnswer: 1548*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583184.7 millilitres in litres?\nAnswer: 583.1847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12321 + 23?\nAnswer: -12232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 170\/24971349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-4)\/(-6))\/((-1)\/(-9)). Suppose 202 = 3*a + 4*q, 3*a = s*a - 3*q - 112. Is a a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*(n*n**(3\/4))\/n*n)\/n**(1\/7))\/(n*n**(3\/5)\/n*(n**(-4)*n)\/n))\/((n*n*n*n\/n**2*n**6)\/((n**(-1\/9)*n)\/(n**(-3\/5)\/n*n))) assuming n is positive.\nAnswer: n**(125\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4354.7 - -4353. Is -66 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-174)\/(-9))\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 2*a - 2*a - a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 156, 236, 316, 396?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/280)\/(-1))\/(4\/16)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + 7. What is the least common multiple of b and (-4)\/10 + 992\/80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -66*n - 5. Let k(r) = -13*r - 1. Calculate -11*k(u) + 2*y(u).\nAnswer: 11*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4))**(10\/9)\/(y*y**(1\/7)*y*y**(-1)) assuming y is positive.\nAnswer: y**(-13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + c**4 - c**2 + (2 - 3 - 1)*(-5*c**4 - 3 + 3) - 2*c**4 + 3*c**3 - 3*c**3 to l*c**3 + g + x*c + v*c**2 + w*c**4 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10481 divided by 80\nAnswer: 10481\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.047 (b) 3\/2 (c) 7 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-6))\/((-30)\/6)*18 + 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12.72, 4 in decreasing order.\nAnswer: 12.72, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1496 + -1489. Solve -5*r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642490 rounded to the nearest one thousand?\nAnswer: -642000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*i - 13, 4 = 227*m - 225*m - 3*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(((-8040)\/48)\/67)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 2*c + c - c - 5. Calculate k(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 31*g - 19*g. Solve 0*q - 5*x = -g*q + 1, q = -3*x + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than or equal to -45998\/441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 - m**4\/6 + m**3\/6 + 3*m**2\/2 + 2*m. What is the units digit of n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 19. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.17 and -3.94.\nAnswer: -3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 1, i: 4}. What is prob of picking 1 m and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 31.04. Round o to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -118.60885 and 0?\nAnswer: 118.60885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 51726*z**2 - 340240992*z - 74592710296 = 0.\nAnswer: -12818, -227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -5, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i = -683 + 46 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 6*i + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 591*v - 6304. What are the prime factors of w(67)?\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*c, -4*c + 26 - 1 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*a = -t + 10, -3*a - 6 = 0. Suppose 3*g - 631 + 235 = t. Find the common denominator of -30\/11 and (-2)\/8 + 451\/g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1 + 2. Suppose g*u + 0*u = 63. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21755580 divided by -47090\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(9\/3 - 3). Suppose t = -5*h + 418 + 367. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432813828 a multiple of 1446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -6415?\nAnswer: -6411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:11 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/163 (c) -2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121396761 to the nearest integer?\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7159*q**3 - 5501*q**2.\nAnswer: 42954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22191, 41209, 60225, 79239, 98251, 117261?\n\"Answer: -p**2 + 19021*p + 3171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + 1*sqrt(363))*2 + 1*(sqrt(363) - (sqrt(363) - (sqrt(363) + -1)))*-6)*4 + 5)**2 + -4.\nAnswer: 1056*sqrt(3) + 92933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 45 = -39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, -77\/2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020450709 rounded to 4 decimal places?\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoauuabrbbauouj. Give prob of sequence aoab.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6103949*-7.\nAnswer: 42727643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 231?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23244 + 6166. Round c to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let q(x) = x**2 - 4*x**2 + 5*x**2. Calculate q(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -1\/3 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 385 = -111*a + 1434 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358479313 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*-1*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 + -15?\nAnswer: -14.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 - 2*s**3 - 2*s**3 + (2*s - 5*s + 4*s)*(3 - 3*s**2 - 3) + (s**2 - 7*s**2 + 3*s**2)*(-1273 + 1273 + 34*s).\nAnswer: -103*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 110. Let k = -1 + -1. Which is the closest to o? (a) 5\/4 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 - 16*v + 16. Let r(j) = -4*j**2 + 5*j - 5. Suppose 9*z - 173 = -47. Suppose 9*t + 115 = -z*t. Calculate t*i(a) - 16*r(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*i**2*z + 107*g*i**2 - 2*g*i + 834*g + 2*i**2*z - 2*i**2 - 37*z wrt i.\nAnswer: -2*g*z + 214*g + 4*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.196 - 269.57.\nAnswer: -269.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(175) + 2 + (sqrt(7) + (sqrt(7) - (sqrt(35)\/sqrt(5))**2)*1 - -4*sqrt(7)*2) + 5).\nAnswer: -75*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -577 - -23841\nAnswer: 23264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2236, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 37. Solve y + 2 = -n - q, -5*y = -2*n - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/15 - 1\/3. Let m(x) = x - 12. Let y be m(14). Let k be 3\/(y - 8)*(-4)\/2. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206811413157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:18 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8336, -24278, -50852, -88064, -135920, -194426?\n\"Answer: -n**3 - 5310*n**2 - 5*n - 3020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2. Suppose 120*j + 6762 - 762 = 0. Let z = -93 - -40. Let h = z - j. Determine w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195\/2348 + -132551\/2458356. What is the common denominator of h and -77\/16?\nAnswer: 16752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279381 by -1.\nAnswer: 279381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1287 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 122, -290, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29998320 divided by 264.\nAnswer: -113630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -238825*t - 238825. Give m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -6*1*sqrt(108))\/((sqrt(108)*1 + sqrt(108))\/sqrt(12)*4).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 6, -5, -2, 88 in increasing order.\nAnswer: -5, -3, -2, 5, 6, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/170*(-4)\/((-176)\/(-90))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s - 169. Give m(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(84)*-1 + sqrt(84) - sqrt(84))*-5)\/(sqrt(96)\/sqrt(2)*6).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85676 (base 12) in base 4?\nAnswer: 222311322","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-51))\/5*(34 - 0) + 8 + -3.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4*k**2 - 4*k - 30. Determine l(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 950097*m\/5 - 17102718\/5.\nAnswer: 3*(m - 316717)*(m + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 9. Let d be a(-3). Let f = d + 18. Suppose h = -4*h. Solve f = -h*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(363) + -2 + sqrt(363)) + sqrt(363) + sqrt(363) + 4 + 5 + (3*sqrt(363) + 4)*5*-6)**2.\nAnswer: 217800*sqrt(3) + 3639801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/8*(-7 - -1). Solve c = -1, -2*v + p*c + 6 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 623 + -622. Let v be 19\/((2 - 2 - -1)\/o). Factor v*d + 5\/3*d**3 - 32\/3*d**2 - 6.\nAnswer: (d - 3)**2*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126\/59 - -3006\/413. Solve 12\/7*s**5 - w*s**3 + 4\/7*s**4 - 36\/7*s**2 - 8\/7*s + 0 = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let d be (-2)\/(-3) - (-1)\/3. Let z(f) = -2*f**2 + f + d - a + 3. Calculate z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.9 - -51.5. Which is the biggest value? (a) -1\/5 (b) 2 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*c = -0*w - 26, -2*w = -4*c - 36. Solve u - w = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97899598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373833597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 3*z - 102442*z**2 + 3 + 104798*z**2)*(6 - 5 + z**2 - 11) to the form b*z**3 + r*z + s*z**4 + q + c*z**2 and give s.\nAnswer: 2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p + 51*p = -56*p - 316. What is the third smallest value in p, 5, 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*1*sqrt(88))\/sqrt(11))\/((sqrt(44)*2*5)\/(1*sqrt(44))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w**5)\/((w**(-2\/5)*w)\/((w**(-1\/2)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(241\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 3400.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 - -1. Let k = n - -3.3. Let d = -493 - -490. Which is the nearest to 0? (a) d (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149774089 and 807?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3296, 6578, 9860, 13142, 16424?\nAnswer: 19706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 96.81. Let v = 37.19 - r. Let f = v - 38.00006. What is f rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -2.5022, -9.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 7:18 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u - 28. Let d(b) = 4*b + 9. Let l(r) = 7*d(r) + 2*x(r). What are the prime factors of l(15)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 91, -0.14, 1.1, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008555 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 44*x**3 + 10*x**2 + 76*x. Let r(a) = -44*a**3 - 9*a**2 - 67*a. Calculate 8*n(k) + 9*r(k).\nAnswer: -44*k**3 - k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 80622?\nAnswer: 47\/80622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/2 - 73*w**3\/2 - 114*w**2 = 0.\nAnswer: -3, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 484277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 - -200. Let w = -43 + l. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + v = -34 - 3, -70 = -2*j + 3*v. Let i = j - 40. Solve 0 = -5*f + 4*f - i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 2*f**2 - 3*f + 10. Let s be i(2). Solve 7*b = s*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3894949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/10)\/(122\/(-40) + 3). Suppose -v + 17*w**4 + 25*w**2 + 18*w**4 + 47*w**3 - 44 + 5*w**5 - 80*w + 28*w**3 = 0. What is w?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 213, 209, 189, 147, 77, -27?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217432507 to the nearest integer?\nAnswer: 14746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -370.01, 1\/5, 0, 1, 2\/23, 5, -1\/5?\nAnswer: -370.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Suppose 4*t - 3*p = 385, 5*t - p = p + 476. Suppose -4*s = -x + 22, 5*s + t = d*x - 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274155877?\nAnswer: 757, 362161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2979, -5954, -8931, -11910, -14891, -17874?\nAnswer: -20859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 26*s + 360 = 0.\nAnswer: -36, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -1, -15, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1312)\/14 - (4 + 130\/(-35)). Let f = z + 96. Let p(u) = -8*u**2 + 1 + 114*u - 113*u + 3*u**f. What is p(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1)*i)**(-21)*i*i**(2\/3)*i**(-5\/2))\/((i**4*i)\/(i*i*i**(-1\/7)*i*i)*(i**4*i)\/i*i*(i\/(((i**(-4)\/i)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(-2351\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 450 - 121. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/15 (c) 0.62 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 553 - 208. Suppose 8*s = 151 + i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + 9*p. Let l(u) = 5*u**2 + 10*u. Let x(q) = 5*l(q) - 6*t(q). Let f be x(-3). Let o = f - -67\/2. What is the biggest value in -6, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*z**3 + 875376776*z - 215*z**3 - 875376776*z.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21349 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*m = -159239 - 259668 - 4040. What is the greatest common divisor of m and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8980 is divided by 2902.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400500 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -20. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(99)*-4 + sqrt(99) - sqrt(99))*-2)\/((sqrt(9) - (-2*-1*sqrt(9) - sqrt(9))) + -2*sqrt(1296)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*c**3*s**3 - 162*c**3 - c*s**2 - 2*s**6 + 3*s**3 wrt s?\nAnswer: -162*c**3 - 240*s**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = d. Suppose 1 - 3 = -d*g - s, -s = 2*g - 2. Suppose 4*n - 950 - 2734 = g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 27*m**2 + 43*m + 1. Let y(k) = 3*k. Calculate r(y(i)).\nAnswer: 243*i**2 + 129*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -485295, 1 in increasing order.\nAnswer: -485295, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11068 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 35*u - 2. Let w(b) = 7*b. What is w(f(x))?\nAnswer: 245*x - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - -3*(-4)\/(-2). Sort 7, 1, a in descending order.\nAnswer: a, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 3104, 4497, 5760?\nAnswer: 6893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8167 + -0.0667. Let n = 0.35 - m. What is the nearest to 9 in 1, n, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 82. Suppose -4*u - 5 + w = -g, -g = u - 9. Suppose -4*j = -u*j. Solve j = -4*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36321 - 6?\nAnswer: 36316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 17*a**2 + a**3 + 3 - 7*a + 3*a**2. Let c be o(14). Solve -2*f = c*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/74841 and -32\/909?\nAnswer: 224523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -950b (base 15) to base 7\nAnswer: -160604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 n when three letters picked without replacement from hmnwnh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3311, -5, 2, -4, 5, 0 in descending order.\nAnswer: 5, 2, 0, -4, -5, -3311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:41 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 37 - 53 + 16.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 17 - 108 = 2*i, 5*i + 5*a = -220. Let v = 186 + -181. Calculate the remainder when v is divided by (60\/i)\/(4\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -21\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/4 + 579*w**4\/2 + 585*w**3 - 1158*w**2 - 2328*w = 0. What is w?\nAnswer: -2, 0, 2, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/((-2)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 86039.29ug?\nAnswer: 0.08603929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9060\/16308)\/((-4 - (-342)\/87)\/18)\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 1\/112, 1?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*r - 2308 + 4652 = -2297. Let k(a) = 5*a**3 - 29*a**2 - 17*a + 14. Let j(s) = -2*s**3 + 10*s**2 + 6*s - 5. Calculate r*j(y) - 6*k(y).\nAnswer: 4*y**3 + 4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t**5 + 11517*t**4 + 7635*t**3 - 49905*t**2 - 30684*t + 15348 = 0. Calculate t.\nAnswer: -1279, -2, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*v = 118*v - 80. Solve 103 = v*d + 63 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 16. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 6, p: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.579 - 174.421. Let w = u + 172. Which is the closest to -3? (a) 2\/5 (b) -2 (c) w (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 117.788.\nAnswer: -117.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -50*w + 5*w**2 + 204 - 79 + 0*w**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/10, -530, 60?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 14, 7, 8, 23, 58?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Let k(m) be the second derivative of 195*m**4\/4 - 5*m**3\/6 + 2*m - 1. Let s be k(a). What is s rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(17\/4))\/j**3 assuming j is positive.\nAnswer: j**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934417004?\nAnswer: 2, 3, 13, 12400109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38381 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3989874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38616 - 2547293\/66. Let v be (-3)\/((-297)\/348) + 0. Let x = v + u. What is the common denominator of x and 7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4165470368 - -3.5\nAnswer: -4165470364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irkkmmkkkrommmoorm. Give prob of picking 2 o and 1 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -22. Let d = -32 + 18. Let t = a + d. Sort 1, -4, t in increasing order.\nAnswer: t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 12:07 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 44*f**2 - 2. Suppose u = -5, 5*m + 5*u - u = -15. Does 8 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.78196nm in micrometers?\nAnswer: 0.09678196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-2 + sqrt(171))**2 - (sqrt(171) - (-2 + sqrt(171)))*1) + 1)*-2.\nAnswer: -72*sqrt(19) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2074 and 27\/854?\nAnswer: 14518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -94142.026 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -10021012100?\nAnswer: 10021012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -89, -78, -51, -2, 75?\n\"Answer: k**3 - k**2 - 3*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81487208 is divided by 1116263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-30) + (-665)\/(-6). Let k = s + -105. Calculate the smallest common multiple of 14 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - b - 1 = 0, 23*c + 28*b = 18*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + (-62)\/(-22). Let o be (4\/(-8))\/((-1)\/66). Suppose o = p*f - 9. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.3 and -194?\nAnswer: 192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 2, c: 1, i: 4, q: 3, x: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = n - 3*n. Let l(y) = -y - 2. Determine l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74017870.\nAnswer: 2, 5, 7401787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -3*n**2\/2 - 3*n - 1. Let u(w) = 10*w + 10. Suppose 4*h = 6*p - 40, -40 = 2*h + 5*p - 52. Determine h*u(o) - 14*a(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmlllm. Give prob of picking 4 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 4 - -1 - -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*q - 7*k**3 - 44*k**2*q - 15141*k**2 - 13596*k*q - 445*k - 4*q - 2 wrt k?\nAnswer: 6*k*q - 42*k - 88*q - 30282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + 3 + -1 + sqrt(1216) + (sqrt(1216) - (sqrt(1216) - (1*sqrt(1216) - sqrt(1216))))*5 + 1)*-6 + -2)**2.\nAnswer: 5760*sqrt(19) + 132528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 42. Let x(t) = -t**3 + 2*t**2. Let d(p) = -p**3 - 5*p**2 - 9*p - 4. Let w(m) = -d(m) + 2*x(m). Determine w(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4) - (150\/15 - 40\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664151 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 909 (base 16) to base 13\nAnswer: 108c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1445, 11541, 38963, 92381, 180465, 311885, 495311?\nAnswer: 739413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259122817.1 rounded to the nearest 10000?\nAnswer: 259120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from dexlehr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 4*a**2 + 3*a - 2. Let l(d) = 1 - 17*d - 38*d - 21*d. Calculate the remainder when l(-1) is divided by b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 5*v**4\/4 - 4*v**3\/3 + v**2 - v - 130. Let o(l) = 4*l**3 - 3*l**2 + l - 1. Determine 3*h(f) - 4*o(f).\nAnswer: -f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 83383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2697 and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + p**4 - 757*p + p**3 + 758*p - 3*p**2 in the form m*p**4 + j*p**3 + a + g*p + w*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-2*6)\/6. Let y(s) = 5*s**2. Let t be y(q). Solve -4*o + 9 = t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2.6 (c) -3\/5 (d) -6\/143 (e) -2\/7 (f) -13 (g) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*v - 2*v + 11, -3*v = -4*c - 13. Let l(w) = 2*w**3 - 42*w**2 + 197*w - 22. Let p be l(14). Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 2*n + 1. Suppose 19*y + 150 = 25*y. Suppose 23 = -2*k - 5*p, -3*p = -8*p - y. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 20, -5*u - 309 = -2*p - 293. Let z(c) = -c**2 + 2*c + 3. Let g(a) = -a + 1. Give p*g(i) - z(i).\nAnswer: i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 100111?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**4 + 2892 - 11*h**5 + 6*h**5 - 7103*h**2 - 2892 + h**6 wrt h.\nAnswer: 120*h**3 - 300*h**2 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 129, 258, 385, 510, 633?\n\"Answer: -p**2 + 132*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 38. Let w = 6 + k. Let f(z) = -z**3 - 3*z**2 - 3. Let h be f(-3). Which is the nearest to 2? (a) h (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33110 times -2\nAnswer: 66220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = t - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12522 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 + d**4\/3 + 4*d**3\/3 - 190*d**2 - 2*d. Give c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608, -737, -972, -1331, -1832, -2493, -3332, -4367?\nAnswer: -5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52172*b - 23 = -5*s - 52174*b, 0 = 4*s - 7*b - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1909 divided by -393?\nAnswer: 1909\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxxgrxg. Give prob of sequence rgx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25272 - 2.74728. What is the third smallest value in p, -1\/4, -0.11, 5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/((-258)\/1118)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18823 and 21512.\nAnswer: 150584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2002 - 1191. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from iiuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123\/233 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**9\/21 + h**8\/168 - 143*h**5\/12 + 377*h**2. Find the third derivative of b(i) wrt i.\nAnswer: 2880*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:41 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Let w(q) = -q**2 + 4*q - 18. Let b(c) = -c**2 + 3*c - 17. Let o(x) = g*w(x) + 4*b(x). Give o(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 1\/7 (c) 305\/32 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23838340 is divided by 345483?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.98 + -0.02. What is the smallest value in -2, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4024 = -4*f - 3*m + 7*m, 4*f + 4059 = -3*m. Let a = f + 3514. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 1.04. Suppose -4*s + 78 = 5*t - 34, -62 = -2*s - t. What is the second smallest value in s, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*c**2 + 910*c**2 + 2057*c**2 + 415*c**2.\nAnswer: 2660*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 60.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**4\/2 + 5*p**3\/3 + p**2\/2 - 10. Solve r(i) = 0 for i.\nAnswer: -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*p + 57 = 0, -4*p + 0*p + 68 = 4*j. What are the prime factors of (j\/(-2))\/(2\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-5) - (-2)\/5. Let f be -7 + 0 + t + 6. Suppose -y + 1 + 2 = 0. Solve a - 3 = -g, -y*a + f*g + 9 = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2888228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 2*c**2 - c + 12.\nAnswer: -(c - 2)*(c + 4)*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -10*k**2 + 41*k**2 - 29*k**2. Let n(y) = -48*y**2. Calculate v(n(j)).\nAnswer: 4608*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/8 - 1473*a**2\/8 - 2937*a\/8 - 1467\/8 = 0. What is a?\nAnswer: -489, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 123 - 0?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 2, k: 1, h: 4}. What is prob of sequence vhkh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/105 equal to 0.50427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - l**2 + 4*l**2 + 18.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6057001 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11449*t**2 - 42*t - 37 wrt t.\nAnswer: -22898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.80642 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 10. Let d be o(0). Is (538\/d)\/(3\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 14*m**2 - 10. What is i(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 7*x + 5. Suppose -4 = 3*q - 19. Let a be m(q). Suppose -i - 4*i = -a. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 3.3542.\nAnswer: -6.3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*n = -228*n + 1521919. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: a91 (base 11) to base 6\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 8) in base 14?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 1707*c + 1707*c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = k, -q - k - 4 = -2. Let d be (-3 - -136) + q + 1. Is d - ((-3 - 0) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 21*x - 9 - 568*x**2 + 13*x - 35*x - x**3 as z*x + n*x**2 + r*x**3 + l and give n.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -682 + 676. Let p(x) = -16*x**3 + 6*x**2 - 6. Let w(f) = f**3 + f**2 - 1. Determine u*w(y) + p(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2065 (b) -6\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*59408.\nAnswer: 23763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -691*p - 49*p - 616*p + 5424 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232042 rounded to the nearest ten thousand?\nAnswer: 5230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:25 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032346951 minus -131626?\nAnswer: -2032215325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from fccf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90782, -90775, -90764, -90749, -90730?\nAnswer: -90707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b. Let j(a) = 78*a. Calculate -2*j(x) - 15*y(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1122, -4494, -10088, -17892, -27894?\n\"Answer: 2*w**3 - 1123*w**2 - 17*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + q = 15, k + 4*q = 6*k + 10. Suppose -8 - 2 = -k*w. Let n(b) = -2*b + 14. What is the smallest common multiple of n(5) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3 + 0*w**2 - 1\/6*w**6 + 0*w**5 + 1\/3*w**3 + 0*w + 0*w**4. Find the third derivative of q(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from kkkkbbjjkjkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*l - 5 = -0*d, 0 = -5*l + 5. Is d >= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 91*j**5\/5 - 96*j**2 + 219. What is the second derivative of a(k) wrt k?\nAnswer: 1092*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -19*s**7\/35 - 7*s**5\/15 - 7*s**2. What is the third derivative of k(b) wrt b?\nAnswer: -2736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**32*o\/(o*o\/o**7)*o*o**5*o**5*o*o*o\/o**(-1\/3)*o*o\/(o\/((o*o**(-6)*o)\/o))*o*((o\/(o**(-7)*o)*o)\/o)\/o*o*o assuming o is positive.\nAnswer: o**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059538 less than -0.07?\nAnswer: -0.129538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o - 2\/5*o**2 - 2\/15*o**3 + 5. Factor k(q).\nAnswer: -2*q*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0891 + 0.0109. What is the nearest to 1 in -0.1, 0.4, n, 0.13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212122 + 4312?\nAnswer: -202310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 13. Put t, -1, 4 in descending order.\nAnswer: 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -450 + 5?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-6*((-20)\/12 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4*h**3\/9 - 104*h**2\/3 + 2704*h\/3 - 246. Factor v(i).\nAnswer: 4*(i - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let t(l) = 5423*l. Determine t(a(s)).\nAnswer: -5423*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -767, -1174, -1751, -2498, -3415?\n\"Answer: -85*c**2 - 152*c - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21898181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22100212202002 (base 3) to base 6\nAnswer: 235143132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 5478*c**4*n + 83*c**3*n + 29032*c**2*n - n + 1 wrt c?\nAnswer: -120*c**2 - 131472*c*n + 498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-63))\/8 - ((-260)\/126)\/(-5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 33 - 20 - 3*s - s + 28 + 10*s. Is w(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1\/7 (b) 2 (c) 3 (d) 6279 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.102, -569.7, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273 - 5735\/21. Let t = 77\/4 - 19. Put t, 2, q, 0.2 in ascending order.\nAnswer: q, 0.2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65167.63 tonnes?\nAnswer: 65167630000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819, -823, -827?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -2\/13, 8, -2, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43921, -85997, -126229, -164611, -201137?\nAnswer: -235801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**3 + 6*u**3 + u - 2 + 7*u**3 - 4*u**4 - 24*u**3 in the form s*u**4 + j*u**3 + o*u**2 + k + y*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450579*a = 450758*a - 12 - 2136 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*t = -2*t + 7, -2*w + 3*t = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.78, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5, -4*s + 1 + 2 = q. Suppose -s*o + o - 2 = 0. Let l = -24 - -215\/9. Which is the third biggest value? (a) o (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359577 times 0.1\nAnswer: -35957.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646*b + 132 = -1668*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6864, 14982, 23098, 31212, 39324?\nAnswer: 47434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 235?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 69 = 3*s, -5*i + 0*s = s - 205. What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (10 + (10 - 14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.925 + 190649577?\nAnswer: 190649571.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16 and 1872.1?\nAnswer: 1888.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(9\/8))**(-29)*(d*(d*d**(-5\/7))\/d*d*d)\/(((d*(d\/d**(-39))\/d)\/d)\/d))**(-4\/11) assuming d is positive.\nAnswer: d**(5451\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -2\/11, -0.7, 8, 7489?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83268*r**5*t**2 - 15*r**4*t**3 - 4688*r**2*t**3 + r - 211*t**3 wrt r.\nAnswer: 4996080*r**2*t**2 - 360*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -415, -1765, -3971, -7003, -10831, -15425, -20755, -26791?\n\"Answer: 5*u**3 - 458*u**2 - 11*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(10)*2*6)\/((sqrt(720) - (sqrt(720) + sqrt(720)*1 + sqrt(720))*1) + sqrt(720)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 10*z + 3. Let d be o(-10). Suppose l = -d*l + 44. Suppose 0 = 3*x - l - 28. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**5\/120 + 2*c**3\/3 + 1. Let j(k) be the third derivative of s(k). Let f(w) = 5*w**2. What is j(f(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77990 + 120984. Suppose -5*f - o = 52506. Round f to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 + -3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 121352 = v, -5*n + 146883 + 4807 = 5*v. Let k = n - 3322. Suppose -4*z - z = -20, 5*p + k = 4*z. Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2)*6 + sqrt(3)*5 + 5.\nAnswer: 17 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 + 1 = 5*l, 2*f = l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c - 8. Let l be u(-10). Let y be (l\/(-10))\/(3\/(-225)). What are the prime factors of y\/(-66) - 4\/(-22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.087013 grams in nanograms?\nAnswer: 4087013000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 11*c**6\/120 - c**5\/30 - c**4\/24 - c**3\/6 + c**2. Let r(w) = -w + 4. Let o be r(2). Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 5969950.\nAnswer: 53729550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:03 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 90 + 207 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 + 17*p**4\/6 - 28*p**3\/3 - 6*p - 14. What is the second derivative of o(s) wrt s?\nAnswer: 6*s + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24003.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-14))\/(108\/42).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*g - 117 = 0, 97 = -2*d + 3*g - 2*g. Let a = d + 200. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/3904?\nAnswer: -1\/3904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8404)\/66*(-24)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 268 = q - 26*b, -1316 = -5*q + 2*b. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 633 - 399. Let d = q + -234.00000097. Round d to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17748\/3825 - (-4)\/150. Factor -a*y - 4 - 2\/3*y**2.\nAnswer: -2*(y + 1)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*x = 3*o + 3771, 3*o - 3795 = -3*x. Round o to the nearest 10.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 32*v**2 - 1225*v + 11745. Calculate x(21).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 17 - 49. Let f = 21 - 13. Calculate the least common multiple of f and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2194, -4681, -7188, -9715, -12262?\nAnswer: -14829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45607 - 758?\nAnswer: -46365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 698.034 - 698. What is the smallest value in 0.1, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/24 + c**3\/6 - 3*c**2\/2 - 7. Let s(v) be the second derivative of y(v). Let d(r) = -2. Determine d(t) + 2*s(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**(19\/2)*g*g**1*g*g*g*g**5)\/(g**(-1\/5)\/g**(-2\/9)*((g**(1\/2)*g)\/g)**21) assuming g is positive.\nAnswer: g**(-1187\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62855012.\nAnswer: 2, 11, 233, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250605 (base 8) to base 10.\nAnswer: -86405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -13\/18, 1, 4.\nAnswer: -13\/18, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6981?\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 17 - 22. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93188.52 millilitres to litres.\nAnswer: 93.18852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/(3\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 3.06. Let x = 3.6 + b. Let d = 0.5975 - x. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, 0.5, -4, -2\/13 in ascending order.\nAnswer: -4, -2.7, -2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:32 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 52*j**2 + 75*j + 38. Let p be r(-11). What is the greatest common factor of 4752 and p?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 28 - 29)*(-4*a + 3*a - a) in the form v + z*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17914 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(125\/((-41250)\/(-132))).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*f + 2*f - 20, -5*f = -3*y - 25. Factor 4*n**2 + 4*n**2 - 4 + f*n**2 - 4*n**3 - 4*n**3 + 14*n.\nAnswer: -2*(n - 2)*(n + 1)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 1 + 1 + (0 + 2 - 7)*(2*g + 4*g - 5*g) + 3*g - 3*g + g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 1. Let z(y) = -10*y + 11. Give -44*f(u) - 4*z(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161409?\nAnswer: 3, 173, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131\/27 + -1471\/270. What is the common denominator of o and 55\/92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 923, 1858, 2787, 3704, 4603, 5478, 6323?\nAnswer: 7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 7*d + 17. Suppose -80*u = -84*u - 32. Let v be x(u). Suppose 0*y + 3 = y + 5*m, m = -3*y + v. Solve -y*s - 5*p = -4 - 1, -2*p + 2 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 18 (b) -9 (c) -3\/10 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 118*v**2 + 664*v + 2040. Calculate q(-3).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60527281*j**3 + 73108454*j**2.\nAnswer: -363163686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9bc - 574a?\nAnswer: -6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 2*j)*(4*j - 3*j + j) - 104*j - 62*j**2 + 104*j.\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1377) + 1 + 1*sqrt(1377) + 1 + -1 - ((2*sqrt(119)*5)\/sqrt(7) + -3)*-6.\nAnswer: -18 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*sqrt(7)*-3.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 631 = -703. Let n = -571 - x. Calculate the least common multiple of n and 1.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 + 9921417*s**3*u**3 + 6*s**2*u**3 - 2*s**2 + 24*s*u**3 + 7*s*u - 5*s - 11*u**2 wrt s.\nAnswer: 120*s**2 + 59528502*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 8 = 22. Suppose 5*v = 2*v + 5*b + 27, -v - 5*b = -9. Calculate the smallest common multiple of v and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/7)*d**7)\/(d**(-1)\/(d*d\/d**(-10))) assuming d is positive.\nAnswer: d**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*-3*2\/(-6). What is the greatest common factor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 84*y - 174 = -810 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = 3*i, 23 = i - 5*m + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1059, -1058, -1059, -1062?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3722192 (base 10) to base 5.\nAnswer: 1423102232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/74347 and -45\/40033.\nAnswer: 520429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -83. What is the remainder when 98 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -123*q - 3. Let i(b) = 253*b - 22. Let j(f) = -84*f + 6. Let t(a) = 2*i(a) + 7*j(a). Determine -5*p(x) + 7*t(x).\nAnswer: 41*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662982 is divided by 405.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25942263*i**3 + 3*i**2*w**3 + 10698553*i*w**2 - 11*w**3 wrt i.\nAnswer: 155653578*i + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 12. Let j be (102\/24)\/((-1)\/q). Suppose -3*a + j = -25. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8545db (base 14) to base 16\nAnswer: 44c4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147030206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 7*v**3 + 17*v**3)*(1 + 2 - 2)*(81*v + 95*v - 267*v).\nAnswer: -1820*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 4*c - 2. Let a = 1 - -2. Let z be (-6)\/(-15) + (-76)\/(-10). Let b(j) = -11*j**2 + 11*j + 6. Determine a*b(p) + z*l(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110010011000001100 (base 2) to base 5.\nAnswer: 1124100034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.4 in 3\/5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 32.6 and -65232.567624.\nAnswer: -65199.967624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07225 + 16?\nAnswer: 15.92775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**3 + 5*i**2 - 5*i - 14. Let o(g) = 5*g**3 - 3*g**2 + 3*g + 7. Suppose 3*j + 24 = 33. Give j*v(y) + 5*o(y).\nAnswer: -2*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h - 5. Let z be 6 - (3\/h - -1). Suppose 0 = -2*p + z, 2*p + 4 = -d + 18. Solve 0 = 4*a - 2*a + d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let a be n(-3). Let u(t) = -17*t**3 + 5*t**2 - 9*t + 9. Let v(w) = 4*w**3 - w**2 + 2*w - 2. Determine a*v(l) + 2*u(l).\nAnswer: 2*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -103, -143, -181, -217, -251, -283?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12*s + 3*s = -104, -3*s = 105*n - 110*n + 73 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -56*s - 41. Let p be l(12). Let a = 1418 + p. Let i = a - 480. Calculate the remainder when i is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*w = -15, -u + 3*w = -6*u + 25. Let t(f) = f**3 - 3*f**2 + 7*f - 11. What is the tens digit of t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4339 - -47839?\nAnswer: 52178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 521472 and 6272?\nAnswer: 3650304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3720 = -154*m - 33*m + 581 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 - 191. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -251*a + 2. Let n(g) = 231*g - 2. What is 6*n(m) + 4*z(m)?\nAnswer: 382*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390 + -381. What is the highest common factor of 261 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a factor of 37535661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 389155914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**2 - 56*o**2 - 52*o**2 - 135*o**2 + 338*o**2 - 51*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74040, 148082, 222124?\n\"Answer: 74042*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-45)\/54) - (-28)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from att. Give prob of sequence ta.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(1 + sqrt(117))*4*-6.\nAnswer: 480 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200042 (base 7) to base 10.\nAnswer: 33644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 3:01 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 6. Let n(r) = r**2 + 5*r + 5. Let o(u) = 11*u - 71. Let k be o(6). What is k*w(l) + 6*n(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 189 + 7 + 2*w**2 - w - 96 + w**3. Let j(v) = -3*v. Give j(n(s)).\nAnswer: -18*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100221 - 33?\nAnswer: -100320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = 24*o - 111 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16))**(-47)\/(n**(5\/11)*n**(-35)) assuming n is positive.\nAnswer: n**(8652\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13519361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 3*o - 8*q - 1, 4*o + q - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49765 is divided by 93.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -386\/7. Let i = 33.23 + -0.93. Let q = i + -32. Put q, 2\/9, a, -0.1 in descending order.\nAnswer: q, 2\/9, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 242 and -3584.\nAnswer: -867328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*r + 133*r - 42 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (57\/(-28))\/1 + (1 - -1). Let r = h + -41\/28. Suppose 0 = 2*y - 3*s - 25, 3*y = 10*s - 15*s - 10. Put -1\/9, r, y in decreasing order.\nAnswer: y, -1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 1. Let k be y(1). Let v be ((-3)\/k)\/(2\/30). Let u(j) = j. Let r(m) = -2*m. Calculate v*u(w) - 2*r(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -47 (c) 0 (d) 41\/5 (e) 5 (f) -2 (g) -1\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, e: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0 + (-2 - -2). Let c = 74.4 - -11. Let m = c + -85. What is the fourth biggest value in a, m, 3\/5, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -7*o**4\/6 - 6*o. Let a(t) = t**2. What is q(a(d))?\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22876 and -149.\nAnswer: 3408524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let f(o) = -6*o + 8. What is f(j) - 4*q(j)?\nAnswer: -2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919029.\nAnswer: 3, 113, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(105)\/(sqrt(7)*1))\/sqrt(5) + 1 + sqrt(147)*1.\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123\/(-9)*(7 + (-1 - 9)) is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (6 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.33. Which is the closest to -1\/3? (a) y (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**3 - h**2 - h. Let l be g(-1). Suppose 5*v + 8 = -l*x - 7, 0 = -4*x + v - 22. Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + o = -14. Let y(n) = -n. Let t be y(-4). Let w(z) = 5*z**2 + 11*z + 4. Let i be w(-2). Solve -2*u + 0*h = o*h + i, -t*u + 2*h = -8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 19*i - 5*i + 2. Let y be 3\/3 - (-2)\/(-4). Sort y, -1\/3, i.\nAnswer: -1\/3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(136) + sqrt(136)*-1) + sqrt(136))*6)\/(sqrt(968) + -4*(sqrt(968) - (sqrt(968) + -1*sqrt(968) + sqrt(968) + sqrt(968)) - sqrt(968))).\nAnswer: 2*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/3 + 782024*n - 2346074\/3 = 0. Calculate n.\nAnswer: -1173037, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7698\/18 + 3)*15\/10. Let h = i - -8631. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/60 + 8*o**4\/3 + 67*o**3\/2 + 518*o**2. Factor j(h).\nAnswer: -(h - 67)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3 + 2\/1. Suppose 4 - 9 = -j*u. Sort u, 5, 4 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 + -1.7. Put 2\/5, i, 2\/11 in descending order.\nAnswer: 2\/5, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -294\/5. Let p = -121376.96 + 121377. Which is the smallest value? (a) 2 (b) -4 (c) r (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*u + 24 - 13, 4*u = s - 23. Suppose -s*a - 77 = -752. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243.82*9.\nAnswer: 2194.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4416)\/(-322) - (-4)\/14. What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.72766 millennia to decades.\nAnswer: 2272.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s - 2*b + 5 = 0, 15 = 3*s - b. Suppose -s*q - 721 = -12*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45498582*p - 45498713*p = 9432 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18) + 0 - (0 + sqrt(18) - (sqrt(18) + 1))**2.\nAnswer: -5 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446875 and 1966250?\nAnswer: 9831250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10576.285518 to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e6 + -7ce?\nAnswer: -18c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 5 - 982*x + 982*x.\nAnswer: 6*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - c = 44. Suppose -c*l - 4*u = -l - 180, -4*l + 240 = -5*u. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i - 3. Let v(n) = 1209*n**2. Calculate v(j(p)).\nAnswer: 236964*p**2 - 101556*p + 10881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*j**2 + 78*j**2 + 10480*j - 2 - 15*j**2 - 459*j + 3371*j to l*j + s*j**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 41*w + 3*w**2 + 40*w - 81*w. Let m(r) be the first derivative of r**5\/60 - r**3\/3 + 5. Let o(y) be the third derivative of m(y). Give p(o(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 112422489972 and 3.12.\nAnswer: 112422489975.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*i**3 + 52382*i**2 - 26183*i**2 + 57*i**3 - 26199*i**2 - 697*i**3.\nAnswer: -1012*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14)*(l\/l**(2\/43))\/l*l)**(-45) assuming l is positive.\nAnswer: l**(25245\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6668756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.48211 millilitres?\nAnswer: 0.08648211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/120299 and -35\/1082691.\nAnswer: 1082691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -18531*m + 3627. Let k(q) = 2*q. Give k(l(a)).\nAnswer: -37062*a + 7254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2709 is divided by 188.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 9099, -4\/3, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*-2 - -3. Let z be i*(0 + 1) - 11. What are the prime factors of (-1)\/z + (-973)\/(-49)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -10, -2, 4\/5, 2, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15152*z + 42021 with respect to z.\nAnswer: 15152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1267789cm?\nAnswer: 0.001267789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45209 is divided by 77?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.4, -20\/3 in ascending order.\nAnswer: -20\/3, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*x - 2*y, 15*x - 8*y - 87 = 17*x - x + 4*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + 89*a**2 + 2 + 94*a**2 + 56*a**3 - 185*a**2 + 2*a**4 + 266*a**3 as p*a**3 + y*a**2 + z*a + s*a**4 + i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65339 and -8047000?\nAnswer: 8112339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z - z + 3*z**2. Let u(l) = -4 - 5 - 12*l + 2*l**2 + 21*l - 17*l**2. Let i(n) = 7*n**2 - 4*n + 4. Let w(f) = 9*i(f) + 4*u(f). What is s(w(m))?\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 374?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*t - 24 = 8, -t - 12 = -2*w. Let k be (-117)\/(-27) - w\/(-6). Solve -k*x + 5*i + 40 = 0, -x - i - 28 = -6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5 + 22 + -12)) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356406 (base 7) to base 11.\nAnswer: 44666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521603 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.4, 1, -5\/9, -1, 7?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 - 11\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + i + 1. Let l(m) = m**3 + 10*m**2 + 10*m + 12. Let o be l(-9). Suppose -18*a = -21*a - o. Calculate c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -835.9999941 + 836. What is k rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and -5830535694.\nAnswer: -5830535694.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26*u**2. Let v(m) = 2*m + 5 - 4 - 1. What is v(i(d))?\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 + 1499\/8. Let j = -205\/4 + 52. What is s in -n*s**2 - 3\/8*s + j = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.960075 litres in millilitres?\nAnswer: 6960.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 15328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 368 - 430.88\nAnswer: -62.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3*(-4)\/1248).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229122*k**2 - 458269*k**2 + 229119*k**2.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 5*p + 9. Suppose -46 = -5*x + 5*h + 9, -5*h - 25 = 0. Let t be g(x). Let i be (-1)\/(-3)*15 - t. Solve 0 = -i*u + 4*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*x**2 - 41*x + 41*x)*(-x + x + x**2) to v*x**2 + l*x + y + d*x**3 + g*x**4 and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -3)*0\/2. Solve 0 = -3*n + a - 6, n + b = -3*a - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/11, -1.41, 14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16418511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102201121 (base 3) in base 11?\nAnswer: 6471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d + 2770 + 3324 - 5170 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*t + 2*t + 5, 2*t = 3*l - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3535358 to one dp.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508 + 12*j + 508 - 2*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 - 17*n**3 - 172*n + 38*n**2 + 48*n**2 - 86*n**2.\nAnswer: -n**3 - 172*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2 + 830240*o - 830243*o - 2. Let x(w) = 8*w - 3. Calculate x(k(h)).\nAnswer: -24*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7507 or -7506?\nAnswer: -7507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 972 = -3*n, l + 197 - 848 = -2*n. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -1. Let t(l) = l**3 - 3*l**2 - 3*l - 5. Let n be t(4). Let d be (-3)\/n + 2 + -2. Solve 2*v - c = -x, d*v - c + 6 = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 13 - 1. Suppose 3*d = 5*g - 9474991, -j*g - d = g - 5685003. Round g to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 122*o - 753. Determine m(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 207.6996 centuries?\nAnswer: 249239.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + 2*d**4 - d**4 + (d**2 - 2*d**2 + 0*d**2)*(-d**2 - d**2 + 4*d**2) - 2*d**4 + 4*d**4 - 3*d**4.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 34*o - 6. Calculate r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7860\/66 + -132 - 2\/22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 117844439.\nAnswer: -117844437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 + 396 + 28*a - 12*a - 391 + a**3 - 17*a. Let z(i) = -i**2 + 7. Let y be z(0). Let x be k(y). What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1652*a - 2030?\nAnswer: -1652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -97*x**3 - 17*x**2 - 13*x + 242. Let i(h) = -49*h**3 - 8*h**2 - 6*h + 121. Let l(c) = -6*f(c) + 13*i(c). Differentiate l(g) wrt g.\nAnswer: -165*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21426707, -42853492, -64280277?\nAnswer: -85707062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, 0.3, -19, -1, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.3, -1, -3, -19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/12)\/(((-140)\/(-56))\/(12\/(-8)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*2*2. Let r(z) = -2*z**2 - 3*z**2 + f*z**2. Let d(t) be the second derivative of -t**4\/4 + 4*t. Determine d(r(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -508610.7?\nAnswer: -14241099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - 2041?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 6*b + 17*b)*((-5 + 1 + 5)*(11*b**3 - 2*b**3 - 4*b**3) - 3 + 3 + 3*b**3).\nAnswer: 184*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/4, 4\/5, -7\/66, -1\/5, -12?\nAnswer: -7\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 3*i**7\/7 - 7*i**3\/3 + 7. What is the third derivative of c(d) wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 10*c - 11. Let l be j(-8). Suppose 4*w + 2*i = -8, 2*w - w - l*i + 2 = 0. Let a(s) = -s - 2. Give a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(17)*-3 - (sqrt(34)\/sqrt(2) + -3)).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:14 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-12)\/(-32)). Let d(a) = a**2 + 3*a - 2. Let m be d(o). Find the second derivative of m*z**3 + 2*z**2 + 2*z - 2*z**2 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.74 and -0.1.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -57*f**4\/4 + 52*f**3 + 9*f + 19. What is the second derivative of w(h) wrt h?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3\/4, 0.4, 45 in decreasing order.\nAnswer: 45, 0.4, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121770447?\nAnswer: 3, 40590149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 8 (c) -0.2 (d) 43.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208961896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and 19118929.\nAnswer: 19118913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37648, -37573, -37402, -37099, -36628, -35953, -35038, -33847?\nAnswer: -32344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05998 - 0.071139. What is j rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2458982 and -1?\nAnswer: 2458983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1103938091 to 6 dps.\nAnswer: 0.110394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (5 - 3) - 0 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 635, 682, 731, 782, 835?\n\"Answer: g**2 + 44*g + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000532768875 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61432, -60500, -59568, -58636, -57704, -56772?\n\"Answer: 932*q - 62364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.37? (a) 4 (b) 0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102, -73, -368, -783, -1318, -1973?\n\"Answer: -60*p**2 + 5*p + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624, 627, 630, 633?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 + 36*x\/13 + 80\/13.\nAnswer: -2*(x - 20)*(x + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 34*d + 339. Give s(41).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -218 and 14.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and -11013.\nAnswer: -8480.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.01988848.\nAnswer: -0.0994424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -1\/3 (c) 4 (d) -196 (e) 3\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 13. Let o be s(-5). Let m be (-39)\/2*(-8)\/18. Let v = 8 - m. What is the second smallest value in v, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 107. Let s = 167 + r. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -57, -6, -0.4, 262.1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120208 and 7392?\nAnswer: 5048736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-68) + -1)\/(9\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 2:40 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*n = 4*n + 264, 3*n = 4*g + 209. Let u = -51 - g. Suppose 3*s + 5*j = -s + 13, 3*s - 4 = u*j. Calculate the greatest common divisor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -2129328790788?\nAnswer: 2129328790794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 4:44 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/13)\/(n\/n**(-6)))\/(n\/n**3*n*n**(-2\/11)*n))\/((n**(-2\/3))**(5\/21)\/(n\/n**(-6)*n**0)) assuming n is positive.\nAnswer: n**(4454\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 7*n - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 142 = o - 5*f, f - 151 = -4*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - j + 2 = 0, 5*j - 3 = -4*g - 17. Let n(t) be the second derivative of 1\/3*t**3 + 0 + t + 3\/10*t**5 + 1\/2*t**2 + 0*t**4. Determine n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 9*t + 2054503. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115*q**3 - 9409*q**3 - 1579*q**3.\nAnswer: -12103*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64554 minus 14?\nAnswer: 64540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7570 - 7565. Solve d*q = -5*o + 10, 10*q - 6*q + 6 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841 = 5*h + 866 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a century?\nAnswer: 17760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -9, -2\/17?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -4*(3 + 3*(1*sqrt(2057) + sqrt(2057)))*-3*5)**2.\nAnswer: -1066475536 - 5639040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 160. Suppose 1 = -v, 12 + 30 = -2*s + 2*v. Let t = s - f. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, k: 1, q: 8}. What is prob of picking 3 q?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4, -9\/4, -2\/5, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127378 or -4854?\nAnswer: -127378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1165*v + 1170*v + 45 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3 and -181\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**3 + 33*i**3 - 63*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose o = -5*t + 8 - 53. Let x be 6\/(-4)*12\/t. Solve v - 2 = x*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsls when four letters picked without replacement from {z: 2, l: 2, v: 3, b: 1, s: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 91*g**2 - 1241*g - 482. Determine a(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x. Let t = 5 - 0. Suppose v + i - 24 = -2*i, -3*v + 3*i + 36 = 0. Solve 0*k - t*k - v = x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -5. Let a = r - 6. Let j = a + 16. Solve 3*w + 14 = -s, j*s - s + 37 = -4*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 140.2. Which is the second smallest value? (a) i (b) -3\/4 (c) 5 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 65043004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 124 = 239 + 107. What is the highest common divisor of t and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + -1*2 - (-95)\/5 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5*298 - (-52)\/130. Calculate the greatest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -4\/21*j**3 + 2*j - 1\/210*j**5 + 0 + 1\/21*j**4 - j**2. Let y(c) be the first derivative of g(c). Factor y(k).\nAnswer: -2*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) -1 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -125. Let v be ((-49375)\/50)\/(t\/1200*-1). What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 + 169*g**2 - 26*g + 99. Calculate i(24).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12119201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/730 and -11\/3375686?\nAnswer: 1232125390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 57. Let o be j(14). Suppose -1 = c + 10. Let f = c + o. Calculate the highest common divisor of 14 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -4 + 42 + -23 + 2 - -97.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/12 + 10*n**3\/3 + 3*n**2\/2 + n. Suppose 3 = k - 11. Is s(k) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 11*g + 1700. Let u = g + -100. Solve d + 2*d - 15 = u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822291901 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -12*r - 237*r**4 + 24 - 30*r**2 + 3*r**3 + 3*r**5 + 126*r**4 + 123*r**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2042407 and 1996?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 6*h**2 - 6*h - 1. Let z(r) = -5*r**3 - 25*r**2 - 25*r - 4. Let m(f) = -9*o(f) + 2*z(f). Let u be m(5). Put 1, 0.1, u in ascending order.\nAnswer: u, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 23486 + 8514. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -r + 6, -49*r + 3*o + 9 = -52*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4101?\nAnswer: -4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 1115136.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 1*sqrt(1008))**2.\nAnswer: 288*sqrt(7) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170237 (base 9) in base 4?\nAnswer: 121223110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a36 (base 15) to base 16.\nAnswer: 162c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/493519?\nAnswer: 2\/493519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.7. Let h = 0 - s. Let w = -0.9 + h. Sort 1, -3\/7, w.\nAnswer: w, -3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 1. Let z = 0 + -2. Let v(w) = 4*w + 1. Let p(q) = -q. Let k(g) = -3*p(g) - v(g). Calculate z*k(j) + l(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -28 + 3. Suppose -3 - 17 = -l*y. Suppose 0 = 4*t - 27 + 11. Solve 2*s + t = -y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 754 - 754.2. Which is the closest to w? (a) -4 (b) 0.5 (c) 0.1 (d) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336 (base 13) to base 15.\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1219 in -3, 2, -4, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21569\/2 - -10783. Put z, 5, 0.1, 5\/68 in increasing order.\nAnswer: z, 5\/68, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47620 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 2*r**3 - 4*r**3 + 3*r**3 - r**3 in the form a*r**3 + y*r**2 + g + v*r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295 - 308. Let i(y) = -44*y - 9. Does 6 divide i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1976 - 1975. Sort -3, 4, 5, t, 0.\nAnswer: -3, 0, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 23*d**8\/56 - 2*d**7\/7 - 34*d**4\/3 + d**3\/2 - 1230*d. What is the third derivative of q(z) wrt z?\nAnswer: 2760*z**3 - 720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 4*w + w)*(84 + 63 - 364) as v + y*w and give y.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/4)\/(8\/20*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -24 - (0 + -3 + -2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25758*c - 22410*c + 45997*c.\nAnswer: -2171*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 10*r + 2. Let h be v(-7). Suppose y = h + 3. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -2)*(-8)\/12. Find the second derivative of 2*g + 4*g**2 + 6*g**u + 2*g**2 - 3*g wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (327*k**4 - 936178*k**3 - 16 + 936178*k**3)*(4 + 1 - 3).\nAnswer: 654*k**4 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630 + a**2 - 630.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 - 11433225?\nAnswer: -11433425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3662024 and 44404?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 - y. Let j be o(-4). Suppose j*x - x - 141 = 0. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 8409?\nAnswer: -10\/8409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52, 86, 120, 154?\n\"Answer: 34*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y + 235. Determine f(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(5 - 3735\/750).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.448073 to one dp.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 - ((-6666)\/(-554) + -2) and -63\/10.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4240 by -5158.\nAnswer: 2120\/2579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/9)))**(1\/7)*(a\/a**(-3\/5))**(-1\/10) assuming a is positive.\nAnswer: a**(-302\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 349.31 - 332.4. Let h = 17 - z. Let x = h + 0.01. What is the third biggest value in 0.3, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, o: 4, n: 1}. What is prob of picking 2 u, 1 o, and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-483) + 58\/(-138)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3667)\/(-193))\/(1\/(-1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 4. Let w be c(-4). Let z = -5 - w. Suppose 4*s - 4 = -2*r, 0*s - 50 = -z*r + 5*s. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2)))**(-1\/21)*(w*w**0)**10)**45 assuming w is positive.\nAnswer: w**(3120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 7650164 - 7650164.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2267*p**2 - 209527*p + 209527*p + 7035*p**2.\nAnswer: 9302*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112451 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/175 smaller than -103233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.34412739 and 23.\nAnswer: 22.65587261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644629923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-223)\/20 - (-1)\/(-12)*-3 and -5\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*t**2 - 143*t - 2*t**3 + 3*t**3 - 53*t**2 + 101*t**2 - 3*t**3 in the form v*t**3 + m*t**2 + n*t + w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24237604051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + u**2 - 4 + (2*u + 2*u + 0*u)*(-3 + 4*u + 3).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((224\/120)\/7)\/((-63)\/(-10395))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 - 3*u + 85. Determine s(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18\/25, 35.6 in decreasing order.\nAnswer: 35.6, -18\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3043 + u**4 + 8*u**2 + 3046 - 4*u + u**3 - 6087 to the form f + h*u**3 + o*u**2 + b*u**4 + c*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 6 = 4 + 2. Let r(k) = -k**2 + k + 0*k - k**3 + 0*k - 1. Give r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 1\/3*o**4 + 5\/6*o**3 - 8*o - 9\/2*o**2 + 0. Let r(g) be the first derivative of t(g). Differentiate r(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1694) - (sqrt(1694)*1 + sqrt(1694))))\/(-3*2*sqrt(288) + sqrt(288)).\nAnswer: -11*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445060524?\nAnswer: 2, 109, 1663, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70869 + -74?\nAnswer: -70932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74825.11ml?\nAnswer: 74.82511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 582*g*i**3 + g + 2*i**6 + 143*i**4 - 19*i**2 + 1519 wrt i?\nAnswer: 3492*g + 240*i**3 + 3432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-56)\/(-8)*2\/(-7). Find the second derivative of -30*z**n + 5*z + 16*z - 3*z**2 - 2 + 6 - 7*z wrt z.\nAnswer: -360*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224522783 is divided by 2395.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2466*v - 76. Let s be h(8). Let c be 0 - s\/18 - (-28)\/(-126). What is c rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2453 - 2449. Solve 5*m = j - 4, 5*m - 3*j - 4 = -s*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -17*o + 1 + 58*o + 19*o + 2. Let n be d(2). Let q = 365\/3 - n. What is the smallest value in q, 2, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**31\/(m**(1\/6)*(m**(-9)\/m)\/m))**(-14) assuming m is positive.\nAnswer: m**(-3059\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -2664447?\nAnswer: 2664453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -426 + 3407\/8. Sort 1\/4, s, 182 in descending order.\nAnswer: 182, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16555 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6145 + -5964. What is the second smallest value in 2, 3\/2, w, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u**2 - u - 1. Let l be d(2). Let j = -482\/3 - -162. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnilwkx. Give prob of sequence li.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + k**3 - k**3 - 7*k**3 - k**3 + k**3 + (1 + 2 - 1)*(-2*k**3 - 3*k**3 + 4*k**3) as s*k**2 + v*k + i*k**3 + q and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 - -131. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = -18*d + 3*d. What is the remainder when 344 is divided by d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22459659 by 258157.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, 15, 234, 707, 1512, 2727?\n\"Answer: 13*u**3 + 10*u**2 - 78*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 54\/10)\/(12\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 1711?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -ba?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1976332 divided by 6.\nAnswer: 988166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 + 0*g**3 - 3*g**3)*(0*g**2 - 2*g**2 + 0*g**2) + 2*g**5 + 2*g**5 - 5*g**5 + 205*g**5 - 114*g**5 - 115*g**5.\nAnswer: -29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let l(j) be the first derivative of 2*j**2 - 2*j - 9. Calculate g(l(i)).\nAnswer: -32*i**2 + 32*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32830?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 + 1 + 387*p - 2 - 3244*p. Suppose -2*t - 21 = -5*t. Let q be w(t). What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, 1387, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 27230*n**3 - 27226*n**3 - 20 + 55 - 18.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.198001699 to three decimal places.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 42*j - 417. Calculate the remainder when (-9136)\/(-96) - (-2)\/(-12) is divided by b(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*u + 59, 4*u - 4*i + 25 = -59. Is 56*1*(-12)\/u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 174.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332 + -5642\/17. Let m = -4.6 + 3.6. What is the second smallest value in 4, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -5, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r - 3 + 3)*(-2*r - 2 + 2) - 4*r + 4*r + r**2 + 7*r**2 + 0*r**2 - 3*r**2)*(-3*r + r + r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - 1. Let j = m + 34.1. Which is the nearest to -1? (a) j (b) -0.03 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -7*x**4\/8 + 11*x**2. Let o(d) = 2*d**2. Calculate o(s(k)).\nAnswer: 882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 7. Suppose 0 = -9*l + 4*l + x. Suppose 3*v - 612 = l*d, 2*v - 7*d = -2*d + 393. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - b - 5*b**3 - 5630*b**2 + b - 76932*b**2.\nAnswer: -3*b**3 - 82562*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -0*q + 126. Suppose -q*k - 70 = -26*k. What is the greatest common factor of 112 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/30 + g**5\/60 + g**4\/8 - g**3\/6 + 31*g**2. Let d(m) = 4*m**3 - m**2 - 2*m + 1. Determine -3*d(z) - 2*y(z).\nAnswer: -4*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028951 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6712 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*y - 101*y - 99*y)*(3 + 1 - 5) in the form u + o*y and give o.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1623200 to the nearest 10000.\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 120*c**2 + 123*c - 249. Give t(121).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145318 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:07 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**3 - 194*s**2 + 1216*s - 984. Let y(k) = 2*k**3 - 39*k**2 + 243*k - 197. Let j(p) = -3*f(p) + 16*y(p). Suppose j(z) = 0. Calculate z.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1138 - 10219\/9. Find the common denominator of -49\/53 and o.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvqsdvvvqvbv. What is prob of picking 1 b and 2 v?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -17, -22, -27, -32?\n\"Answer: -5*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:24 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let k(j) = 388*j - 1548. Calculate y(k(h)).\nAnswer: -388*h + 1548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -18 (b) 14 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*r + 74*r - 28*r + 28*r to y + p*r and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59972, -36, -5.\nAnswer: -59972, -36, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 11?\nAnswer: 68\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33480 and 7130?\nAnswer: 770040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1192 + -1174. Let o be 2\/8 - (-6)\/8. Calculate the remainder when (-1917)\/(-36) + o\/(-4) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + h**3 + 4*h**3 - 3*h**3 + 6*h**3 - 5*h**3 + 2 + 0 - h**3 + 0 + (0*h**2 - h**3 + 0*h**2)*(1 + 0 + 1) as u*h + k*h**2 + y*h**3 + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 + 18*l + 6. Let a(g) = 15*g**2 - 39*g - 13. Let f(d) = -6*a(d) - 13*v(d). Let s(x) = 466*x**2. Calculate f(s(q)).\nAnswer: 217156*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5385 by 1795.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25104102 (base 6) to base 14\nAnswer: -16c2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734000 a multiple of 789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/6)\/(-7))\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4) + 0 - (16 - 30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23550 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328275*v**2 - 945773*v**2 - 311762*v**2 - 438253*v**2.\nAnswer: -2024063*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - 4*p**3\/3 - p**2 - 3*p. Suppose 5*v + 1 + 4 = 0, u + 11 = -4*v. What are the prime factors of b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*(-18)\/4. Let l(s) = -11*s - 1. Let i be l(u). Suppose 2*a + 2*a = i. What is the smallest common multiple of a and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.6 (b) 3\/7 (c) 3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 9, -4, 0, -10 in increasing order.\nAnswer: -10, -5, -4, 0, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(192)*-2 - sqrt(192))*-4 + 6*(-2 + sqrt(192)))**2*-2.\nAnswer: -34560*sqrt(3) + 623520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d*p*y + 4*d + 39*p*y + 196157*p + 561123*y wrt p.\nAnswer: 3*d*y + 39*y + 196157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 346?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuu. What is prob of picking 3 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, h: 5}. Give prob of picking 2 m and 1 h.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14775042467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.528.\nAnswer: -3.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2670\/300)\/89*30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a factor of 5863799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = l - 22, 0 = -l - 0*n - 3*n + 14. Suppose 2*z = 6 + l. Let u be (96\/(-392))\/(4\/14). Put -1, z, u in descending order.\nAnswer: z, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z. Suppose -7*o + 12*o - 25 = z. Suppose -86 = 5*i - 86. Which is the closest to i? (a) o (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 54\/10)\/7.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1830 + -1676. What is the greatest common divisor of j and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350914, 350885, 350858, 350833?\nAnswer: 350810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-6)\/6*(-46)\/(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 + 57*f\/7 + 19210\/7.\nAnswer: -(f - 170)*(f + 113)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.2260901 rounded to two decimal places?\nAnswer: 829.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/99658188 and 55\/4212?\nAnswer: 1295556444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 10. What is the remainder when ((-94)\/4)\/((-11)\/22) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/378 + -751\/1890. What is the second biggest value in 24, s, -0.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -44. Let u be (0 + c - 0) + 1. Solve l - 3 = u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3599259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 302, 327, 352, 377, 402?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(-2))*j))\/j)**(4\/9))**(-44) assuming j is positive.\nAnswer: j**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64 - 3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3513874 and 39130.\nAnswer: 17569370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236369169*i**2 - 249069030 wrt i.\nAnswer: -472738338*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from hklkzanlz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 200 = -12*y - 374 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmmmmmmmxmmxmmmxx. Give prob of sequence xmm.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19379.154 nanoseconds to minutes.\nAnswer: 0.0000003229859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14861747, -14861765, -14861783, -14861801?\nAnswer: -14861819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/(-14720))\/(1\/2).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 3*m + 48, -2*d - 4*m = -34. Which is bigger: d or 20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, y: 2}. Give prob of picking 1 z and 2 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 31*p = 7*p - 60*p + 3534 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 33 = -t, 0 = 4*n - 6 + 2. Find the common denominator of (-3 - 92\/t) + 2409\/(-420) and 13\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 6 + 12 - 19. Give o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -11. Let g be 0\/(3\/(9\/(-3))). Let u = g - b. What is the nearest to -2 in u, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4273754 or 4273753?\nAnswer: 4273753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 602\/(-6). Suppose 4*m - 92 = 3*p, 3*m - 2*p - 68 = -0*p. Calculate the highest common factor of m and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167739361 - -246939361. Suppose -5*h + 0*h + 99000000 = -5*m, -4*m + p = 4*h. What is h rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - (-2)\/3. Let c = -2789 - -2794. What is the closest to -2 in c, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*17\/(136\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5019.3 - -566.2. What is s rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2. Let x(k) = -4*k**2 + 2*k - 7. Let h = 8 + -6. Let w(d) = -20*d**2 + 11*d - 34. Let t(b) = h*w(b) - 11*x(b). What is 9*c(v) - 2*t(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/2)\/(-9 - (-16 + 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15413?\nAnswer: 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273 is divided by 468.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.196 + -0.004. Which is the second smallest value? (a) l (b) 2\/9 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*i - 26, -5*i - p - 77 = -10*i. What is the greatest common factor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 9 = -148*l + 144*l + 2, 0 = l + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**4\/4 - r**3\/6 + r**2. Let g be 7*2 + -1 + -2. Suppose -4 + 29 = 5*o, -3*o = 4*k - g. Determine h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 4*s + 0*s)*(-4 + 1 + 4)*(6 - 14*s + 7*s - 83*s) as t + c*s**2 + o*s and give c.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*z + 8, 0 = -2*z - z - 4*w - 19. Let b(n) = 241*n**2 + n - 271*n**2 + 12*n**2. Determine b(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 6281?\nAnswer: 18843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44661 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86443 is divided by 675?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-105)\/(-42))\/(-3*10\/(-72)). What is the greatest common divisor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(12)\/(sqrt(28)\/sqrt(7))) - (-1*sqrt(12))**2) + (sqrt(96)\/(sqrt(12)\/sqrt(3)))\/(-1*sqrt(32)).\nAnswer: -12 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 121991335 and 0.10916?\nAnswer: 121991334.89084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220*x**4 + 20*x - 20706 with respect to x.\nAnswer: -880*x**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -266, -1051, -2358, -4187?\n\"Answer: -261*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 21\nAnswer: 340\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1916657523 and 11187?\nAnswer: 11187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.27 (b) -0.2 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -i + 8, -2*i = 5*v - 0*i - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**2 - 53*k - 5*k**5 + 53*k wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*n + 2)*(5*n - 3*n + 0*n) + 0*n**2 - 2*n**2 + 5*n**2 + 2*n**2 - 6*n**2 - 6*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 27c?\nAnswer: 27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {a: 2, d: 1, j: 2, t: 1, q: 2, m: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(-111 - 145 + 23)*(i + 2*i - 2*i) to z + h*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696058?\nAnswer: 2, 11, 29, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4397.033158 + -26\nAnswer: -4423.033158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -35. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k*w + 274*k + 3493*w + 3 wrt k.\nAnswer: -4*w + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-144) - (45\/12 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-66 + 1)) + -2 - (-14 + 188 - 182).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 2988.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 468?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:36 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(5 + (-129)\/27). Which is the fourth smallest value? (a) z (b) 5 (c) 0.5 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171312305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*v + 100 = 133, 7*y = -5*v - 39 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = g - 5*n, -3*g + 2*n + 227 - 223 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 i when three letters picked without replacement from byiyblymybbyqqbb.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.041 and 298991.\nAnswer: 298991.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 22*i**3 + 6446*i**2 - 2*i - 327. What is x(-293)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 28*d**2 + 286*d + 51. Calculate c(36).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 2948*y**4 - 133*y**2 - 9*y - 88858.\nAnswer: 40*y**3 - 35376*y**2 - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 16. Let y be s(-8). What is the highest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 23 + 5 - -9) + -2 + 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1236 and 1153497.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 2376 = -4096. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.069 - 15.269. Let x be 3\/(-14)*(-4)\/(-3). Which is the nearest to x? (a) w (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4 + (-27371)\/7046?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 163, 166, 169, 172?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.6 - -1212?\nAnswer: 1389.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 9. Let m be f(7). Suppose i - 5*i = m. Let u = -1 - i. Calculate the remainder when 16 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w - 18 = -b, -4 = 2*b. Suppose -4*k + 40 = w. Let r(z) = z - 6. Is r(k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -103.13. Round o to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -241*r - 688. Calculate the remainder when y(-7) is divided by 328.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - -53) + -21 + -22?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 69996674?\nAnswer: -3\/69996674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspsgpgyyypswsspp. Give prob of sequence gpg.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (1 - (-3 + 2)). Solve h = j - 0*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - f - 14, -2*r + 4*r - 8 = f. Let w be r\/4*(-182)\/(-21). Let s be (-4 - -3)*-1 + w. Solve 3*k = -u - s, -k = -2*u + k + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 17*u = 3228. What are the prime factors of u?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21054230 - -2?\nAnswer: 21054232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17938, -71448, -160538, -285208, -445458?\nAnswer: -641288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5590\/9 + 1855\/3. Calculate the common denominator of 26\/7 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + b - 1 = 4*c, 5*b - 21 = 2*c. Suppose -5*h + 2*y + 8 = 0, -c*h + 5*y + 3 = 4*y. Suppose h*s = 2 - 6. Sort 1, 0, s in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8880982.\nAnswer: 2, 11, 403681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/15 - 562*w**2\/15 - 37516*w\/15 + 7616\/3 = 0. What is w?\nAnswer: -170, -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -92325012?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -42. Suppose 2*p = 3*l + 3, -5*l - p + 9 = 1. Let z be 3 + 1\/(3\/(l + b)). Solve -a - z*a = 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*p - 1641 = 0, -2*d - p + 1867 = -1429. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*l + 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (246\/(-5535))\/((-3)\/(-5))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -9, -29, -65, -123, -209, -329, -489?\n\"Answer: -x**3 + x**2 - 6*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2, -1.898, -0.03, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/3 + 94*r**2 - 1283*r - 4130\/3 = 0.\nAnswer: -295, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 179474*d. Let g(s) = -2*s**2. Give g(c(b)).\nAnswer: -64421833352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3004110 - 2?\nAnswer: 3004103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226940 is divided by 467?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (6 - (34 - 19))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t - 1. What is v(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - (213 - 191)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207*s**3 - 16*s**2 + s - 12515?\nAnswer: 621*s**2 - 32*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/28*(-8)\/(-6). Let g be (-1)\/(-4) - (-22)\/(-24). Let x(p) = -9*p + 8. Let o be x(1). Which is the biggest value? (a) m (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*m - 233 = 109, 570 = 5*b - m. Suppose -2*v - 121 = v + 4*d, 3*v - 3*d = -93. Let z = b + v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16280581*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103245564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39773076 divided by 1146.\nAnswer: -34706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from {w: 3, d: 2, p: 2, n: 6}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -389730 divided by -129910\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 85. Let n = 2 + -2. Let u = -0.955 - 3.045. Sort u, n, l.\nAnswer: u, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)\/m)\/(m*(m\/(m**5*m))\/m)*m**(2\/13)*m**2*((m\/m**(5\/2))\/(m**(-2)*m))\/(m**(-1\/4)*m)**(2\/53) assuming m is positive.\nAnswer: m**(23945\/4134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) + 50\/8. Suppose 0*i = 2*i - x. What is the third derivative of n**3 - n**2 - i*n**3 + 0*n**2 + 2*n**2 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.5 (c) -0.2 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146899 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*m = 3*c + 8, -3*c - 11 = -5*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siissiiissis. Give prob of sequence sssi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-1)\/4)\/((-26)\/1066)*18\/45?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m = -175 - 119 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -7500012.01.\nAnswer: -7500012.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*s + 6, -5*n + 10 = 2*s - 0*s. Suppose -2*g + 4*g + 4 = 2*x, x = -3*g - 2. Let l be (g\/2)\/(4\/(-24)). Solve s = l*f + 2*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5575 and 1487410?\nAnswer: 7437050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 8)*(-2 + 2 + i**3) + (-2*i + i - 8*i + (5 - 2 - 1)*(2*i + 0*i + i))*(0*i + 0*i + 2*i**2).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -26.1. Which is the closest to -2? (a) -1\/6 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*r - 11 - 1013 = 0, r = 4. Let p = 248 - a. Put p, -8, 2 in descending order.\nAnswer: 2, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (34\/4)\/((7\/(-112))\/(-1)). Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:28 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32657668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -40 - -38) + -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802*-4.028.\nAnswer: -3230.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.13 - -0.27. Let u = 2 + -5. Let j = c + u. Sort -2, 3\/5, j.\nAnswer: -2, j, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = 5*d - 475. Suppose 2*k + 5*a = 4, 5*k = -0*k - d*a + 48. Calculate the remainder when 57 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/4761208 and 65\/62696.\nAnswer: 80940536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -1238\nAnswer: -11\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 - -263. Calculate the remainder when 41 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3933 and 0.2.\nAnswer: 3933.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) + -1*sqrt(4050) - sqrt(50) - sqrt(50))\/(sqrt(160) - (sqrt(160) + sqrt(160)*1))*-1*3.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566999779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27175*173.87\nAnswer: 4724917.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74 - -3c?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(-2) + 3\/(-6). Let q = h + -10. Suppose 0 = -5*y - q + 36. Which is smaller: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5\/2 - 3*m**4\/2 - 9*m**3 - 3*m**2 + 15*m\/2 + 9\/2.\nAnswer: 3*(m - 3)*(m - 1)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 632*w + 1633 + 254*w - 972 + 368*w - 7535 wrt w.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 1, u: 7, p: 6, g: 2, x: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -265800 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b4765 + 1?\nAnswer: b4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2)\/(-2) - 7. Let m be (-7)\/(-33) - 2\/x. Let p = 0.07 + -3.07. What is the closest to 1 in p, m, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 10*i**2 - 25*i + i**2 to s*i + o + a*i**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41967389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 2. Determine c(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - 3*u**2 - 3. Let q be w(3). Let n = q - 732\/7. Let v = 0.4 + -0.3. What is the closest to 1 in 1\/2, n, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 - 3. Let o = z + 23. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*p + 54, -4*k - p + 21 = 0. Suppose 5*n - 2*n - 2*x = 10, n - 3*x - 15 = 0. Solve n = -0*y + 2*y + k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3812884450 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -86. Let q = l - 29. Which is the fourth biggest value? (a) q (b) 5\/4 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*a**2 - 352*a**2 + 43*a**3 - 467*a**2 + 1163*a**2.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t - 1287 + 855 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/(0 + 3\/(-2)). Let p = n + 11. Suppose p = -4*o + 32. Let a(t) = t - 10. What is a(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3046, -6353, -9870, -13597, -17534?\n\"Answer: -105*l**2 - 2992*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1ec?\nAnswer: 1ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1651 - 1651.1. Let f = -25 - -178\/7. Which is the nearest to 0.4? (a) k (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 13*i + 2 + 3 - 7*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-14)*(-1 - 1). Let z(n) = -n + 10. Let q(i) = 4. Let r(d) = -5*q(d) + 2*z(d). Let p(k) = -k**2 + k. What is f*r(t) + p(t)?\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b**3 + 51*b**2 + 112*b + 69. Let l(f) = 6*f**3 + 26*f**2 + 56*f + 34. Let k(h) = -5*l(h) + 2*q(h). Find w, given that k(w) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -77 in -0.3, 6\/19, -0.2, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16220747 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6703*g - 12. Let f be c(4). What is f rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21*c**3 + 5*c**2 - 8. Let k(i) = 14*i**3 + 3*i**2 - 5. Let q(x) = -5*a(x) + 8*k(x). Let j be q(1). Solve 4*r + 6 = -j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -23. Let n = 1 + h. Let w = n - -16.3. What is the smallest value in 4\/9, w, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 195 = 21*w. Let m(i) be the first derivative of 2\/33*i**3 + 2 + 0*i + 1\/11*i**2 - 2\/55*i**w - 1\/22*i**4. Solve m(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*j*y + 109*i*j + 2373*i*y - 22*j*y + 38*j + 7 wrt i?\nAnswer: j*y + 109*j + 2373*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 137*u**2 - 268*u - 274. Let v be w(135). Let t = 4 + -2. What is the closest to -3 in v, t, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229 (base 14) to base 12.\nAnswer: 2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 6*l - 6. Suppose -6*y - 32 - 10 = 0. Let c(b) = -2*b**2 + 7*b + 7. Calculate y*g(t) - 6*c(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*g = -381*g - 90 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -150. Sort f, -3, -4 in decreasing order.\nAnswer: -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 30 - 24 = -4*y, 47 = 3*y + 5*f. Let p = 148 + -100. Let r = p - 43. Which is the closest to y? (a) r (b) -2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**4\/12 + 6*q. Let u(x) = 2*x. What is u(m(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b**3 - 2*b**3 - 20*b**3 + 12*b**3 + 33*b**3 + (1 + 0 + 0)*(-11*b**3 + 248*b - 248*b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*r + 0*r = 3148, s - 1568 = 3*r. Suppose -s = -4*q - 3*d, -2*q - 7*d = -6*d - 789. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-268)\/(-8) - 3\/(-6). Suppose -h + t = -43. List the prime factors of 2508\/h + (-3)\/(-7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 920\/1861593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2067.8581 to the nearest ten.\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 9. Let b(r) = -4*r - 10. Let w(u) = 2*b(u) - 3*h(u). Let p = 9 + -16. Let a be w(p). Which is smaller: a or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*q = 81*q + 788 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1147.\nAnswer: 11\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 q when three letters picked without replacement from {y: 1, q: 1, m: 2, x: 3, w: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6131 (base 11) in base 15?\nAnswer: 262b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521334544 to the power of 1\/2, to the nearest integer?\nAnswer: 22833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6, -11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/42 and -95\/363524.\nAnswer: 1090572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Suppose -k = -4*j + 3*k + 88, 0 = -4*j - 4*k + 72. Suppose -6*o + j = -o. Sort o, i, -2.\nAnswer: -2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/4, -4, 11, -2836?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25296 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5701721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5887 minus -0.2?\nAnswer: 5887.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28902 by 9634.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20766 + -19?\nAnswer: -20785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9))\/m*(m\/(m\/(m*(m\/(m*(((m*m*m**(2\/13)*m*m)\/m)\/m)\/m)*m)\/m*m)))\/m*m*m**(-10\/9)\/(m**24\/m) assuming m is positive.\nAnswer: m**(-1669\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1113 divide 4093614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 130077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/24 and -143\/204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 6. Let m be (-3)\/k - 76\/(-6). Calculate the greatest common factor of m and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 4. Let c be k(3). Let d(b) = -5*b**2 + b**3 - 5*b + 4 + b**2 - 1. What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/8 - o**2 + 123. Suppose 5*l = -3*i + 7, 0 = 5*l + 3*i + i - 6. Let q(a) = a**2 - a**2 - a**l. Calculate f(q(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t + 16. Let o be g(9). Let j be (o - (-483)\/14) + 3\/(-2). Let h = j + -27. Calculate the highest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -1.5524583?\nAnswer: -21.7344162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 90. Let b be 0 - -5 - (1 + g + 2). Suppose 12 = 3*u + 3. Solve -u*s = b + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*(l\/(l\/((l**(-5\/3)*l)\/l)))\/l)\/(l\/((l*l**(3\/4))\/l))**(-45) assuming l is positive.\nAnswer: l**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 - 9851 = 2*n. Let r(p) = -5*p**2 - 23*p + 118. Let b be r(20). Let j = b - n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 21. Let k(j) = 49945*j**2 - 6150*j - 49946*j**2 + 10 + 6141*j. What is k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46588.4272 to the nearest ten.\nAnswer: -46590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/99)\/((-104)\/2288)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + (-13 - (-1 - 25)))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 44 - 92 + 48 + 22*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 226 in decreasing order.\nAnswer: 226, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1335 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -94*3*(-210)\/(-504)*8\/(-20)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*j**2 + 215*j**2 - 1588*j**2.\nAnswer: -1292*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/14*(-28)\/10. Suppose 0 = -5*x + c*x + 10015716. Let w = 9207858 + x. What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 34 + 13 = -3*y, -32 = 4*y - h. Sort y, -3, 0.\nAnswer: y, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016216283 rounded to 4 dps?\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 2*x**3 + 130*x**2 - 202*x**2 + 56*x**2.\nAnswer: -2*x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Let i = -296 + 299. Which is the nearest to 4\/9? (a) i (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 9:51 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + 224210322?\nAnswer: 224210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16 = 3*g - 7*g, 0 = -4*g + 4. Solve 0 = n + s*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(294\/(-210))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630825426 divided by -322014.\nAnswer: -1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 != -241589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c29 (base 14) in base 3?\nAnswer: 21001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3 + 27*q**2 - 2*q + 4*q + 3 - 9 + 4. Suppose 2*b - 3 = 5*b. What is z(b)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656001 (base 8) to base 5\nAnswer: -24021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**2 + z + 1. What is the units digit of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 + -263.8. Let o = 9.2 - n. Let m = 48.8 - o. Is m at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204580, 817783, 1839792, 3270607?\nAnswer: 5110228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(242)*3*-1)**2*-1.\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -20*h**2 + 4049*h + 64591. What is z(-16)?\nAnswer: -5313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133311871 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m + 5. Suppose -4*l + 4 = 0, 3*l = y + 5*l - 7. Let x(h) = -54*h + 24. Calculate y*x(r) - 24*w(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-1 + (-12)\/(-9)). Suppose 3*c + z*c = -4*m - 4, 4*c - 3*m = 3. Solve 5*t - 15 = -c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2327, 2445, 2563, 2681, 2799, 2917?\n\"Answer: 118*h + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 20*q - 439. What is w(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*t = 13, 6*t = 3*f + 9*t - 12. Let w = 8 + -5. Let o(d) = d**3 - 9*d**2 - 9*d - 7. Let k be o(10). Solve -w*p = f*u - 8, p = k*u + 3 - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {d: 9, x: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 83*o**2 + 2 - 3\/20*o**5 + 0*o + 1\/4*o**4 + 11\/6*o**3 + 1\/120*o**6. Give d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = -1. Let s(i) = -201*i - 190*i - 1 + 392*i. Let p(u) = -u**2 + 9*u - 9. Let y(d) = 17*d + 1. Let b be y(1). Determine b*s(l) + k*p(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*k**2 - 9*k**2 + 1309*k**2 + 473*k**2 to g*k**2 + m*k + a and give g.\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2. Let f be r(1). Suppose 4*b = 5*b. Find m such that 2\/11*m**3 - 2\/11*m**5 - 2\/11*m**f + 0 + b*m + 2\/11*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/9 + 148*x**3\/9 + 16*x**2.\nAnswer: 4*x**2*(x + 1)*(x + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 438091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 302 + 14*m - 302.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38884824309 + 5?\nAnswer: -38884824304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 - 232. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*d + 0*d - 2*d + 0*d + (-2 - d + 2)*(-4 + 6 - 1) - 2*d - d + 0*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 10*l**2 - 14*l**2 - l - 4*l**3 as u*l**3 + c*l**2 + p*l + h and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccuu. Give prob of picking 1 c and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a + 8. Let v be (1 - a)\/((-3)\/(-6)). Suppose -4*m + 62 = 3*x - 2*m, -88 = -v*x - 4*m. Calculate the lowest common multiple of 10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1540 - 3*b - 533 - 543 - 464.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.459 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*h + 5 = 0, 6*q - 3*q + h = 20. Suppose -q*o = y - o - 2, 2 = y - 5*o. Sort y, 1\/38, 5 in decreasing order.\nAnswer: 5, y, 1\/38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1252\/12*(-3)\/(-2)*2. Let b = k + -187. Suppose 2*o + 7*o - b = 0. Solve -4*z + 3*a = -o, -2 = -2*a + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 + 4*g. What is b(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-8)\/a)*a**(-4\/7))\/(a\/(a**0\/a))**44)\/(a*a**4*a**6)**17 assuming a is positive.\nAnswer: a**(-1859\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 12074?\nAnswer: 12076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14427 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 427 = 1214 + 607 + 634 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17733.18 - -4232055\nAnswer: 4249788.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.1 - 1150.2\nAnswer: -1141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.3 (c) -0.1 (d) 19401 (e) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = -31. What is the closest to 0.1 in 1, -7, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.05414g to tonnes.\nAnswer: 0.00005405414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*b + 550, -3*q + 0*q = 5*b - 338. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-4095)\/225)\/(1332\/(-185))\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**4 + 2178382*t**3 - 2180105 wrt t?\nAnswer: 4*t**3 + 6535146*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 197*q**2 + 49*q**2 + 101*q**2 + 46*q**2.\nAnswer: -q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0609744 + 1769874366\nAnswer: 1769874365.9390256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f - 13 + 15 = 0, c = f + 4. Let n be (-1 - (-7 - c)) + -7. Is -1\/199 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let s(x) = -6*x + 41. Let c(p) = 20*p - 183. Let m(o) = -7*o + 61. Let a(h) = -2*c(h) - 7*m(h). Let w(j) = -5*a(j) - 8*s(j). Determine w(k(r)).\nAnswer: 6*r - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330878, -1323552, -2978012, -5294258, -8272290?\nAnswer: -11912108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/42534 and 46\/143973.\nAnswer: 40024494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 2. Let g be o(-6). Suppose s = -3*s + g. Suppose m = s*m - m. Solve m*x + 5*x - 2 = f, 0 = 5*x - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 83 = 120*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 375196*o\/5 + 15756468\/5.\nAnswer: (o - 375154)*(o - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*i - 8. Let c = 91 + i. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05163 + 0.14837. What is the third smallest value in 8, y, -1\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l. Let w(u) = -u + 1. Let o(x) = 2*x**2 + 5*x - 5. Suppose 2*a = 3*a - 10. Let k(p) = a*w(p) + 2*o(p). Calculate d(k(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03614769714 and 5.1.\nAnswer: 5.06385230286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 + j**2)*(j**2 - 3*j**2 + 0*j**2 + (-j - 1 + 1)*(-4*j + 2*j + 4*j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1111692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/3*r**2 + 12 + 16*r + 1\/3*r**3.\nAnswer: (r + 1)*(r + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**7))\/l**3*l*l**6*l*l\/(l**2\/l) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/(-126) + 1876\/(-1206) + (-2)\/(-9).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/4 - 2625*j**3\/4 + 75797*j**2\/4 + 4012449*j\/4 - 1021405 = 0?\nAnswer: -2653, -28, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33147944.\nAnswer: 2, 4143493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -48*t + 373. Suppose -c + 0*c - 10 = 0. Let u(a) = a**2 - a - 1. Let h(n) = 12*n**2 - 10*n - 16. Determine c*u(l) + t*h(l).\nAnswer: 2*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -2\/7 (c) 128 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -1, 2863 in descending order.\nAnswer: 2863, 32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b = 2, 1 = 3*r + 5*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) + -2 + sqrt(153) + -5 + (-1*sqrt(153) + -1)**2).\nAnswer: 36*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1667796 and 250848.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:58 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose -s*t - 3 = g, -4*t + t = -g + 12. Solve g*c + 8 = 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - 1) + 1)\/(28 - 29). Solve c = v + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49853353531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13245 - 12261 = 1417*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.1 + 9. Let b = 1.8 - a. Which is smaller: b or 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-2)\/sqrt(11) - ((-2*sqrt(5) + sqrt(5))**2 + 1))*-3.\nAnswer: 6*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 888 - 878. Solve 23*w = f*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (-1 + sqrt(343) - sqrt(343))) + sqrt(70)\/(sqrt(40)\/sqrt(4)).\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54284, 54278, 54268, 54254, 54236, 54214, 54188?\nAnswer: 54158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 15*q - 27. Determine j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78988189 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 3, g: 1}. What is prob of picking 3 u and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/1964 in 2, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -345, -609, -677, -543, -201, 355, 1131?\n\"Answer: y**3 + 92*y**2 - 547*y + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 724, 1059, 1378, 1675, 1944, 2179, 2374?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -38*q**2 + q - 1. Let v be b(1). Let o = v - -59. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18460 is divided by 1193?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 47441656*x.\nAnswer: -4*x*(x + 11860414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820736 and 2022986?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**3 + 2*u**3 - u**3)*(1 - 2 - 1) + (-3*u**3 + u**3 + 0*u**3)*(-1 - 2 + 1)*(4 - 5 - 1) to o*u**3 + k*u**2 + a + x*u and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -22\/3, 0, 3, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/15)*32\/440.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**3 - h**3 - h**3 + (28 - 2*h - 28)*(2 - 2 - h**2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 218.57292 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 24986\/785?\nAnswer: 24986\/785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 k when four letters picked without replacement from {p: 4, q: 3, k: 2}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62193 and -9.\nAnswer: -62202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114*7\/(29 + -8). Let i be (-1)\/(-10) - o\/180. Which is the third biggest value? (a) i (b) -2\/21 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 46 + 2*s + 20 - 58 in the form g*s + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(153) + -3*sqrt(153))**2 + (sqrt(153) - (1 + -4*sqrt(153)))**2)*-1.\nAnswer: -60*sqrt(17) + 8884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25633*r + 122707 wrt r?\nAnswer: 25633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 + 129*q**3\/4 + 609*q**2\/2.\nAnswer: 3*q**2*(q + 14)*(q + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-29)\/(10556\/(-56))*(-6)\/(4\/2))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/10, -5, -1, -10\/7, 879?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511098040.\nAnswer: 2, 5, 12777451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0 (c) -5 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/12)\/(-5)*-2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/((-2)\/3). Suppose 5 = l - 2*t, 2*t - 2 = i. Solve 4*w = -d - l, 0*d = -2*d - 4*w - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 + 0.28. Let g be (-626)\/(-9)*6\/4. Let o = 106 - g. Which is the third biggest value? (a) 0.2 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/131 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/(-6*3\/(-27)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307117857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5 - 520?\nAnswer: -541.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781892283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/3))\/u*(u**(22\/3)*u)\/u assuming u is positive.\nAnswer: u**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.0612. Let y = w - 0.022. What is y rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*v*z**3 + v*z**2 + 210*z**3 wrt v.\nAnswer: 93*z**3 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52776865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tat when three letters picked without replacement from {t: 4, x: 2, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/12 + v**3\/6 - 5*v**2\/2 - 4*v. Let k(h) be the first derivative of c(h). Differentiate k(u) with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8939720*u - 7231499 wrt u?\nAnswer: -8939720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 4, r: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 8) in base 12?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7018 - -11854. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72960?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*-1*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxhyyxcyyymyhyxyyyy. What is prob of sequence hm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 1738\/(-121) - 36\/3.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 179 = -694 - 286 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*n**5 + 5842*d*n**3 - 3*d*n**2 - 5977*d*n wrt n.\nAnswer: 60*d*n**2 + 35052*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005517294 to 7 dps.\nAnswer: -0.0005517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 204, 437, 756, 1161?\n\"Answer: 43*m**2 + 18*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12924 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.3 and 6.967747.\nAnswer: 14.267747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261908\/181 - -1447. Let d = -381\/3439 - o. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - -444?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 6 - 5*h - 4*h**2 + 2*h + 0*h. Is c(-6) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/181355 and 87\/49634?\nAnswer: 4715230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1562, -2, 3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/1020 and 55\/147.\nAnswer: 49980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 5*k**2 + 2*k**2 + 6*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-24))\/(2763\/(-29472))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.9. Let k = 0 + -5. Which is the third biggest value? (a) -4 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7954.9 and -1.5.\nAnswer: 7953.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 0.1, 4, -2\/7, 87, 64, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(6)*2)\/sqrt(2) + (-2*sqrt(33))\/sqrt(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406572 = 6247*n + 44246 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(6\/13)*m**(-3\/2)*m)**13 assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5152 + -5152.3. Which is the third biggest value? (a) -4\/3 (b) z (c) -298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -5 + (5 - 5). Calculate the greatest common factor of j and 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/15847 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 568937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.09, 0.2, -2\/13, 40 in increasing order.\nAnswer: -1.09, -2\/13, 0.2, 0.3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -8. Let d = -1 + 1.3. Let k = 1.3 - d. What is the second biggest value in -4, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d + 3. Let x(j) = -j**3 + 2*j**2 + 4*j. Suppose r - 2*r = -12. Let s = 15 - r. Let o be x(s). Give b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12446 - -19231. List the prime factors of b.\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002008 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*t - t**3 + 2*t + 29*t**2 - 32*t**2 to y*t**3 + n + d*t**2 + u*t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10 = 5*t, -f - 6 = 134*t - 135*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1675)\/(-804)*4\/10.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 33*g**8\/112 - g**6\/120 - g**5\/20 + 11*g**4\/24 + 4*g**3\/3 - 174*g**2 - 7*g + 2. What is the second derivative of v(m) wrt m?\nAnswer: 1980*m**3 - 6*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10103 + -21?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 7320 = 11*f. Let j = f + 22448\/33. Calculate the common denominator of j and 79\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*d - 14 = -0, 0 = -5*o + d + 6. What is g in 21373 + 3*g**3 + 19120 + 979 + 216*g**o + 5184*g = 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 4, t: 5, v: 9, j: 1}. Give prob of sequence tt.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 4*m + 10. Let v(u) = -u**2 + 5*u + 11. Let a(i) = -5*k(i) + 4*v(i). Suppose 4*d + 3*n = 6, n - 2 = 5*d - 2*d. Calculate a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*t**3 - 95 + 342 - 245 + 2*t - 2*t**2 as j*t + v*t**3 + f*t**2 + w and give v.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -70\/9, 3\/8 in increasing order.\nAnswer: -70\/9, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*b - 5*b - 1 - 151*b + 34*b.\nAnswer: -185*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2. Let w(t) be the second derivative of -t**3\/6 + t**2 + 11*t. Let p(c) = 2*w(c) + y(c). What is p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - 21. Let d = 422\/5 + b. Are d and -0.37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15434 divided by 9\nAnswer: -15434\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egl when three letters picked without replacement from {g: 1, l: 2, e: 4, s: 1, u: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13977 - -3777. What are the prime factors of a?\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gleigii. Give prob of picking 1 i and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y - 623. Let z be q(-13). Put -2, 3, -3, z in decreasing order.\nAnswer: 3, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248028064?\nAnswer: 2, 131, 59167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 18}. Give prob of sequence usu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(-124))\/((1\/(-20))\/(4\/(-12)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.5, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84877 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98.9 + -98.8579. Let q = u - 0.041487. Round q to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/(-40)*2*1 and (5\/45)\/(-8 + 3283\/406).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07455 plus 0?\nAnswer: -0.07455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 17*k - 6*k - 400 = 0 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f. Let v(b) = b**3 + b**2 + 11. Suppose 6*s - 24 = 2*s. Calculate the lowest common multiple of s and v(f).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -8*i**2 - 2\/105*i**7 + 0 + 0*i**5 + 1\/3*i**4 + 0*i**3 + 0*i + 0*i**6. What is the second derivative of h(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*a - 11, -2*a - 20 = -7*a - 5*p. Let h(i) = -i**2 + 32*i - 35. Let z be h(31). Sort z, -2, 2, a.\nAnswer: z, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(3) - sqrt(300)\/sqrt(4))*-6 - (sqrt(108) + -1 + sqrt(108))**2*-2).\nAnswer: -24*sqrt(3) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 74. What is the tens digit of g(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**5\/20 + g**4\/2 - g**3 + 5*g**2\/2 + g. Suppose 54 = 5*q + 4*q. Let l = 11 - q. Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -120. Let i(m) = -2*m - 24. Let t be i(q). Solve 3*a = r - 11, 4*r - 3*a - t = -a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(2535\/(-50) + 48)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 12*i**2 + i - 8. Let m be q(12). Solve p + 0*p - 5*b - 4 = 0, 2*p = m*b + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63230 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.509914mg in micrograms?\nAnswer: 3509.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose -4*u + 4*z = -344, -c*u + 3*z = -245 - 98. What is the highest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - k + 1 + 12 = 0, 4*l - 4*k = -28. Suppose 9*w + 1 + 8 = 0. Sort w, -5, l in descending order.\nAnswer: w, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 339.9425g?\nAnswer: 339942500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let v = -150 + 241. Let b(c) = -115 + v + 65 - c. Calculate a(b(d)).\nAnswer: 2*d**2 - 164*d + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22800 - 22793. Let t = 3 + -1. What is the second smallest value in 4, p, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18*d + 38 + 90 = 0. Calculate the greatest common divisor of d and 1444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.035 (b) 1890 (c) -2 (d) -2\/235\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 2 (c) -133.1 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2726\/21 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16 - 2487*v + 2 + 48 + 2491*v. Let h be b(-16). Solve -m - 10 = h*q + 2*m, -20 = 5*q + 5*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aa8b1 (base 12) to base 3.\nAnswer: -11011121120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 17. Let r = -2.987 - p. Let t = r + 0.127. Round t to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 77\/24) + ((-2401)\/(-56) - 43)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/68)\/(5\/(-10) + -2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23198, 46404, 69610, 92816?\n\"Answer: 23206*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10 - (-6)\/15)\/((-873)\/(-1746))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/7 + -33\/7. Calculate the common denominator of 14\/3 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21921152899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4963701451211 minus 0.2?\nAnswer: -4963701451211.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/187, 2\/5, -1777 in descending order.\nAnswer: 2\/5, 2\/187, -0.2, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/4)*a**(-1))\/(a**(2\/3)\/a)**(-12\/7))**2 assuming a is positive.\nAnswer: a**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 3*a**6\/20 + 5*a**4\/8 - 388*a**2. Let p(g) = -6*g**3 + 7*g**3 + 12 + g - 12. What is h(y) - 15*p(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**2 - 40*f - 36 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4431344 (base 5) to base 16.\nAnswer: -12d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 3*f + 32. Let g be (-16)\/f - 8\/(-36). Which is the third biggest value? (a) -2 (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 692*j = 697*j - 1392*j + 34, r + 6*j = 64 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 9*k + 2*l - 2, 0 = 4*k - 2*l + 2. Is 8\/221 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 32 = 168 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15981 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/140*(-20)\/(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 360?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4220*t**2 + 2677*t**2 + 1556*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/5, 85\/11, 30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/25*10\/6. What is the fourth smallest value in -1\/3, m, -1\/2, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12836621867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-70))\/2*-5. What is the nearest to 0.1 in 2\/9, f, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23111104 (base 5) to base 12\nAnswer: -9b985","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/((-1624)\/(-483)) - 8. Suppose 23\/8*j + t*j**2 - 5\/4 = 0. Calculate j.\nAnswer: -5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**5\/80 - u**4\/8 - 3*u**3\/8 + 5*u**2\/2 - 16. Let f(v) be the second derivative of t(v). Factor f(p).\nAnswer: -3*(p + 1)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c**3 + 14840*c**2 - 23660*c - 11840 = 0.\nAnswer: -2\/5, 2, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128282 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = 41. Calculate the remainder when 407 is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*j + 5*j + 73 = 0, -2*u = 2*j - 70. Suppose -2*p + c - 4*c + 19 = 0, -5*p = 2*c - u. What is the remainder when 13 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36350035301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35511, 35530, 35547, 35562, 35575, 35586, 35595?\n\"Answer: -m**2 + 22*m + 35490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 4, z: 2, p: 1, r: 2, o: 2}. Give prob of picking 1 o, 1 p, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, z: 1, e: 1, l: 2, w: 3}. Give prob of sequence kel.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 454.624 * 4\nAnswer: 1818.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.45 + -2.45. Let c = -746\/117 - -80\/13. Sort c, i, -2 in descending order.\nAnswer: i, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79851300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*y - 12*y - 88 = -9*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87650000 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201 is divided by 1092.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -28. Let v(t) = -t**2 + 11*t - 1. Let p be v(10). What is the greatest common factor of p and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11251 (base 6) to base 4\nAnswer: 121033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8555*r - 8210. Give v(1).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -43, 2, -680 in descending order.\nAnswer: 10, 2, 1, -43, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907970481?\nAnswer: 13, 1301, 171937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -81*s + 68. Is f(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k**2 + 169*k**2 - 80*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.837374 rounded to 2 decimal places?\nAnswer: 13.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1418 - 6719 = -47*p + 26173. Calculate the remainder when p is divided by 191.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 82 = d - z, 4*d + z = 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13786*t - 399754. Give r(-29).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/7)\/d)\/d*d*d\/(d\/d**(1\/2))*d**0\/(d*d*d**(-6)) assuming d is positive.\nAnswer: d**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g - 4*g - 5*a - 17, 4*g = 23*a + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -1, -29, -130, -4 in descending order.\nAnswer: 0, -1, -4, -8, -29, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 - -118. Suppose -2*c = -l + 6, 0 = -6*l + 4*l - y*c + 30. Solve 4*a = -14 + l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = o - 6*o - 3*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14\/11, -2, -3 in decreasing order.\nAnswer: 1, -14\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, t: 4, f: 5, b: 1}. What is prob of sequence fb?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 509.6 and -399.\nAnswer: -203330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trt when three letters picked without replacement from trt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k = 143 + 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(2) + 5)*2 + 1 + sqrt(2)*2 + -3.\nAnswer: 8 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 5. Let q be v(6). Let c be (-3)\/(-7) + (-39)\/q. Let b(f) = -f**2 + 8*f - 4. Determine b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**3 + 7*g**2 - 6*g**3 + 6*g**4 - 2*g**4 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -57 + 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1560397, -1560351, -1560305, -1560259, -1560213, -1560167?\nAnswer: -1560121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 1338*f\/7 + 1340\/7.\nAnswer: -2*(f - 1)*(f + 670)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247647586.\nAnswer: 2, 37, 3346589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22667022.\nAnswer: 2, 3, 7, 179897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*a**4 + 534*a**2 + 26*a - 2*a**3 + 65*a**4 - 525*a**2 to the form t*a**4 + n*a**3 + l*a**2 + s + q*a and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -1531 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1091, 4415, 12, 3 in increasing order.\nAnswer: -1091, 3, 12, 4415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - 0.16. Suppose 5*d = 5*a - 2*a + 23, -5*a - 21 = -4*d. Let h = 2\/25 - -21\/50. What is the second smallest value in d, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 19, 11, -15, -65?\n\"Answer: -w**3 + 11*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36030 divided by -12010.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*b - 1 - 75*b + 34*b)*(-b**2 + 2*b**2 - 5*b**2) to a*b**2 + l*b + v + k*b**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/72 and (2\/72)\/(-29 - 358763\/(-12369))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 6 = -6*q. Let d(y) = -y**2 - 5*y + 2. Let c be d(q). Suppose 0*r - 5*a - 73 = -r, c*a - 122 = -2*r. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 238740086 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1363129*o**3 - 20*o**2 - 5*o - 445 wrt o.\nAnswer: 8178774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 70\/3*y**2 - 100\/3*y + 44\/15*y**5 - 2\/9*y**6 + 56\/9*y**3 - 34\/3*y**4 + 101. Solve o(q) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:47 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -140, -229, -350, -503?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -3 - -166 - -4. Let z = b + -162. Solve 0 = 4*g + 5*i + z, -3*i = 2*i + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = -3*d + 12, -i - 7 = -2*d. Let r = -1 + d. Suppose 0 = 5*h - 2*h - 18. Solve h = -r*b - b - 3*o, 4*o = -5*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 - a + 1. Suppose 0*y - 4*y = -3*u - 13, -4*u = 3*y + 9. What is w(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1359 (base 12) to base 3.\nAnswer: -10001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -169, -175, -185, -199, -217?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 22*z**2 - 23*z - 65. What are the prime factors of f(-18)?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57565 is divided by 538?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeweeewewwweww. Give prob of sequence eew.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 121. What is f(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*z**4 + 145*z**2 - 104*z**4 - 145*z**2 + (-12*z**3 - 21 + 21)*(0 + 0 - 2*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 minus -0.07?\nAnswer: -639.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 39. Let i be (17 + d)*19*17. Let o be (-4)\/(-14) + i\/119. Solve -o*n - 3 = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489\/37153 or 0?\nAnswer: 489\/37153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 - (2 - -17)) - (-286 - -169).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - -5) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102979378 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 496461+-0.04986\nAnswer: 496460.95014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 1\/210*q**7 - 3*q**2 + 0 + 0*q**5 - 1\/24*q**4 + 0*q**6 + 0*q**3 + 0*q. Find the second derivative of v(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/166 in -2, -2\/3, -0.26, 0.112, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36678552 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1\/((-2)\/106)). Let g = -100\/159 - r. Which is the second smallest value? (a) -0.2 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 733, 1100, 1467, 1834?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((20 - -8) + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 7*j - 2. Let a be n(7). Let y be -2 - (-4)\/(0 - a). Suppose y = 5*g + 10, -p + 3*g + 11 = 2*g. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 1622528\nAnswer: -1622508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7*243585\/420)\/((-6)\/64).\nAnswer: 2, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-35)\/(-14))\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 7*b - 25 = 3*b, -7*a + 7*a = 6*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.4799 rounded to 1 dp?\nAnswer: 182.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p**43\/p)*p)*p\/((p\/(p\/(p*p*p**(1\/27))))\/p*p))**(-1\/3))**(-49))**(4\/13) assuming p is positive.\nAnswer: p**(206192\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 13*f**2 + 3*f - 15. Determine k(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79098768 to the power of 1\/2, to the nearest integer?\nAnswer: 8894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -1.102. Let z = j + -0.002033. What is z rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -371*l**6\/120 + 1979*l**5\/15 - 4129*l**2. What is the third derivative of x(h) wrt h?\nAnswer: -2226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(((-1*sqrt(170) + sqrt(170))*-2 + sqrt(170) - sqrt(170)) + sqrt(170)))\/((-1*sqrt(640) - sqrt(640) - sqrt(640))*-4))*-5.\nAnswer: 25*sqrt(17)\/96 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 4. Let a(n) = 45*n - 35. Let g be 1*-3*1 + (-4)\/4. Calculate g*a(p) + 35*x(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -11. Suppose 2*d = 10, -4*d = -5*m + g + 34. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21587*j + 21579*j = 336 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/39 - 4*r**5\/65 + 2*r**4\/13 + 4*r**3\/39 - 3*r**2\/13 - 27. Suppose d(y) = 0. What is y?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 111 - 49 = 0. Suppose 3*r = -2*r + s. Solve 5*h = -6 + r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*(-75)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*m - 1820, 3*m - 1083 = -5*i + 2*i. Let w = -205 + i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*1482\/76?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/2 - 18591*c = 0.\nAnswer: -37182, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12800569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780 or 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 28. Let i(r) = r**2 + 5*r - 20. Let l be i(s). Let b = l - -19. What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -290167*x - 8414816. Calculate a(-29).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.1? (a) -7\/3 (b) 123 (c) 2 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4282 or -4276?\nAnswer: -4276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -0.376 (c) 19\/302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/49 - 59\/245. Let y = 35770 + -35769.9. Let k = 16 + -22. What is the closest to c in k, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*24\/60*((-48)\/54)\/(-4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**4 - h**3 + h. Let a(z) = 2*z**5 + 2*z**4 - 2*z**3 - 9*z**2 + 2*z. Let b(v) = -a(v) + 2*c(v). What is the third derivative of b(k) wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28071, 55881, 83719, 111579, 139455?\nAnswer: 167341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 172320?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x - 3. Let f be a(3). Let w be 5 + (1 - (f - -1)). Let o be (-62)\/(-4) - 27\/18. Solve -w*q + 6 = -o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {o: 1, e: 5, f: 3, z: 3, v: 1, s: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8*u*u*u**0*(u*u\/u**3)**(-6\/7) assuming u is positive.\nAnswer: u**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 4. Let i(g) = -11*g + 9. Let u = 25 + -23. Let a(t) = u*i(t) + 5*l(t). Suppose -10 = s - 6*s. Let x(h) = -10*h + 7. Give s*x(b) + 7*a(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/(10\/150). What is the common denominator of (-88)\/h + 3\/(-1) and 53\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**5\/24 - b**4\/12 - 41*b**3\/3 - 69. Let g(r) be the third derivative of z(r). Determine g(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-4))\/((-1)\/(-2)). Let y = -5 - p. What are the prime factors of (-4)\/y + 2032\/80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57, 322, 995, 2268, 4333, 7382?\n\"Answer: 32*o**3 + 12*o**2 + 5*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-10))\/((-2)\/10). Suppose 40 = f*c + c. Let n = 13 - c. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117251582*n**2 - 84*n - 326344.\nAnswer: 234503164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6618363, -6618367, -6618371, -6618375?\nAnswer: -6618379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7497982 times -124\nAnswer: -929749768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 538*i**2 - 148*i + 149. Calculate the smallest common multiple of 14 and c(1).\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -321\/7 + 7489\/154. Suppose -2*o = -3*l - 0*l - 5668, 3*l + 4*o + 5692 = 0. Let q = -22727\/12 - l. What is the common denominator of c and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 436, 1690, 3790, 6736?\n\"Answer: 423*f**2 - 15*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -4586654.439.\nAnswer: -4586651.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 85, 126, 163?\n\"Answer: -2*b**2 + 51*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 0 + 1\/5*x**2 = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 33?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 11*y + 2*y**2)*(0*y - 24*y**2 + 5*y + 26*y**2).\nAnswer: 4*y**4 + 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 1202?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -9. Which is the second biggest value? (a) -3\/8 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 a factor of 1004188259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2666 + 1410 + 1255 - 25*z.\nAnswer: -25*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 1, p: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -2*i**3\/3 + 2*i**2 - i - 210. Give b(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*n + 1145*k**3 - 305*n with respect to n.\nAnswer: 2*k**3 - 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2129 and 202470029?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d + h - 28 = 0, -d + 3*h + 14 = 0. Let p = 11 - 8. Suppose p*b - 60 - 63 = 0. What is the remainder when b is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3627 and 819.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2 + 77*m + 1050. Calculate the remainder when y(-15) is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 + 16*k - 12 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14238.6 minus 1.3017?\nAnswer: -14239.9017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 e, and 1 x when four letters picked without replacement from xicixceciicczzeecz?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*y - 67*y = 0. Solve y = -30*r + 61*r + 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/20244 and 121\/2076456?\nAnswer: 14535192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1600000)\/12*(182 - (-1 - -3)). Round k to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -10001?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 26*l**3 + 4*l**3 - 25*l**3 + 8*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 4327, -0.19 in decreasing order.\nAnswer: 4327, -0.19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 76*s = 78*s - 21, 0 = -4*f + 2*s + 34. Let y(g) = 23*g - 1. Let o(c) = 8*c. Calculate f*o(u) - 4*y(u).\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1105*g**3 + 3686 wrt g?\nAnswer: 3315*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(4 - b - 4 + 2*b + b - 5*b + (0*b - 2*b + b)*(0 + 2 - 1))*(-2*b + 2*b - 3*b**4).\nAnswer: 36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3369 is divided by 835?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 125 (b) -1\/41 (c) -2 (d) 0.3 (e) -0.006\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1282480 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -25*l**2 - l - 5. Let n(x) = -38*x**2 - 2*x - 8. Let i(a) = a**3 + 9*a**2 + 14*a - 19. Let c be i(-4). Give c*n(r) - 8*u(r).\nAnswer: 10*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Suppose -5*j = 3*q + 47, -h*q + q + j - 78 = 0. Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**3 + 3*t**4 - 8*t**3 + (4*t - 2*t + 0*t)*(-2*t**3 - t**3 + 4*t**3) + 2*t**4 + t**2 - t**2 - 18*t**4 - 24 + 24)*(3*t + 0*t - 4*t).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**5\/20 + b**4\/3 - b**3\/3 - b**2 - 3*b - 2. Let t(g) be the first derivative of h(g). Let j = 11 - 15. Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/2*32\/48. Are -25 and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82025553 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 4*x + 114 = 0. Solve -2*o = -0 - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12110331 - -20?\nAnswer: 12110401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x - 15207. Let n = x + -35318\/7. Which is smaller: 23 or n?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:24 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-630)\/(-245))\/(6\/56). Solve -k - 26 = -q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5509 + -62 - (0 - -1)?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let p(f) be the second derivative of f**6\/180 - 5*f**3\/6 - 8*f. Let u(d) be the second derivative of p(d). Let z(c) = 18*c. Determine z(u(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/154 - (-28)\/(-77))\/1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 1480*r - 136900.\nAnswer: -4*(r - 185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -101\/3 (c) -3\/5963 (d) 0 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprprrp. What is prob of picking 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 1\/6, 1, -0.06, 1419, 10?\nAnswer: 1419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:34 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*f - 20. Let z = 0.38 - -0.62. Let j = z - 0.6. Which is greater: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 59 (c) -1243 (d) 1\/107 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525.9 - -525.8. Which is the nearest to n? (a) 25.8 (b) 2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677069.8 centuries in millennia?\nAnswer: 67706.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 - -25. Let q = -523 + 557. Calculate the greatest common factor of q and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) + (-36)\/(-21). Let v(c) = r*c - 54 + 3*c + 53. What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vruvvrrrrjruuvurrrru. What is prob of picking 1 j and 2 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -74018?\nAnswer: 74045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1 - 8\/45*j**3 + 0*j + 1\/5*j**2. Factor n(g).\nAnswer: -2*g*(4*g - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4, 36, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 - 135*d + 124*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) - (sqrt(1176) + sqrt(1176) + sqrt(1176)*-1))\/(sqrt(84)\/(sqrt(7)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1337915\/3 or 445972?\nAnswer: 1337915\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -107. Let b be (-32)\/(-24) + 274*1\/r. Calculate the highest common factor of b and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*2*4 + 3)**2.\nAnswer: 480*sqrt(17) + 108809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*l**2 + 159*l - 64077?\nAnswer: 66*l + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 626?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 86. Solve -5*j + 22 = -h - f, -j = 4*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45c3 (base 15) to base 13\nAnswer: -6981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42739487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6400 and 73\/150.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 21. Suppose k = -3*g + 17 + 3, 52 = 5*g - 3*k. Let a be -4*1*(-6)\/g. Solve 0 = 5*l + v + a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/5*-2 + 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 121\/22 - 7 - ((-93)\/(-162) - 2). Let x be (-1)\/(-3) - 12\/9. Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9*g - 25 + 18 + 36 = -13*v, 29 = 2*v + 5*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 2039*l\/3 - 13460.\nAnswer: -(l + 20)*(l + 2019)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 c when three letters picked without replacement from ncjjjcc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2767 - 2760 + o - 23*o**2 - 2*o**2 to t + p*o + j*o**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 136362054*w + 136362054*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1658124*w + 57 = 1658143*w. Factor 2\/5*v**w + 16\/5*v - 8\/5 - 2*v**2.\nAnswer: 2*(v - 2)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-1\/25)*(k**0)**(2\/81) assuming k is positive.\nAnswer: k**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 + 13*m - 1. Let r be s(-3). Suppose 4*t - 28 = y, 4*t - 9*y = -r*y + 16. Suppose 956 = -t*f + 12*f. What are the prime factors of f?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2238 (base 13) to base 4\nAnswer: -1022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34*-2.2588235\nAnswer: -76.799999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-4))\/6*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9876, -9882, -9898, -9930, -9984?\nAnswer: -10066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 380*(-19)\/1*(102 + -105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, 4, 1, -3 in increasing order.\nAnswer: -23, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -152, -243, -338, -437, -540?\n\"Answer: -2*g**2 - 81*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 16*l)*(95 + 100 - 38).\nAnswer: 2512*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 24*x**3 + 24*x**3 + 3 - 54*x**3. Let n(l) = 13*l**3 - 9*l**2 - 7. Determine 4*n(d) + 9*q(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101021110 (base 3) to base 10.\nAnswer: -7491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/8)\/(-11))\/(((-88)\/330)\/(28\/10))\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 - 1654. Let v(a) be the first derivative of -2*a**2 + 2. Determine b(v(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 113*g - 4. Let b(i) = 2*i. Give -2*b(y) - k(y).\nAnswer: -117*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*r - 126, 0 = 2*p - 5*r + 4139 - 4015 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.4, 19, -0.5 in increasing order.\nAnswer: -0.5, 0.4, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 51*l + 41. What is r(-25)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*k**2*t + 2*d**3*t**3 - 4*d**3 + d**2*k*t**3 + 2*d**2*t**2 - 5*d*k**2*t + 200*k**2*t**3 - k*t**2 wrt k?\nAnswer: -2*d**3*t - 10*d*t + 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045335 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-8)\/(-6))*237\/948. Put -5, -0.5, -4\/9, c in descending order.\nAnswer: c, -4\/9, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005512 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 1282 - 659 + 7*v.\nAnswer: 7*v - 2098","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 1\/8 (c) 2 (d) -79 (e) 13\/9 (f) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420664, 420665, 420666, 420667, 420668?\nAnswer: 420669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -d - 6*k, 10 = 3*k - 2*k + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3872*g**3 + 1630288*g**2 + 1701218*g + 444360 = 0?\nAnswer: -420, -23\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3985159?\nAnswer: -11955477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008893 rounded to six decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v + 0*v**3 + 1\/8*v**4 + 0 + v**2. Let a(c) = c**2 - 2*c**2 + 2*c**2. What is b(a(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnfffhnfqnqqfnfq. What is prob of sequence qfq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4795.937 days?\nAnswer: 414368956.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-3 + 2 - 4)*(-183*i**5 + 122*i**5 - 264*i**5).\nAnswer: -3250*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-814*s - 196*s**3 - s**4 + 814*s)*(-5 - 3 - 4) to r*s**4 + i + a*s + p*s**2 + z*s**3 and give z.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902232 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: Solve -14*g = -29*g + 75 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - n**4 + 0*n**4 + (0 + 0 - n**2)*(-12*n**2 - 12*n**2 - 12*n**2) as t*n**3 + w + d*n**2 + c*n**4 + z*n and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-245)*224\/(-64)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -u, 0 = -3*h + 2*u + 116213. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -46\/5289 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 + 1 = 5*a, 0 = 4*a - 4*j - 28. Suppose 5*q = -5*s + 40, 8*s - 22 = a*s + q. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 5518*s\/11 + 13217572\/11.\nAnswer: -2*(s - 4297)*(s + 1538)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-15) - (-3 + (-25680010)\/(-3)). What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.9 - -11. Let v be 3\/1*(1 - 0). Let p be 18\/(-20) + (-2)\/(-5). Put p, v, x in ascending order.\nAnswer: p, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10598, 20936, 31308, 41720, 52178, 62688, 73256?\nAnswer: 83888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**3 + 11*c**2 + 11*c - 11. Let x(l) be the third derivative of l**6\/30 + l**5\/10 + l**4\/4 - l**3 + 3*l**2. Give 6*d(b) - 11*x(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*v**2 - 39 + 164*v**2 - 18*v + 9*v**3 + 38 to the form r*v**3 + g*v + z*v**2 + m and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and (9\/6)\/(9\/18)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from lpiijwp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141975499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -5\/4, 0, -4, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m. Let y be 0\/(-6) + (-1 - m). Let i be (-21)\/27 - (y + 0). What is the closest to 0 in 1, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 + 4*r**2 - 71*r - 153. Let j be y(-2). Sort 1, -1, j, -66 in descending order.\nAnswer: 1, -1, j, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:14 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 146. Solve r*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 27*b + 5. Let i(k) = -40*k - 8. Let d = -4440 + 4432. Give d*a(l) - 5*i(l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 + 4. Let f = -8 - -7.88. Let k = -0.62 - f. What is the second smallest value in -2, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207588 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159421585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1509505 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61942*j + 17468 wrt j?\nAnswer: -61942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a + 4*p, -3*a = 5*p. Suppose -15 = -5*b - 3*j - a*j, -4*j + 20 = 0. Solve -5*s = -20 - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69672131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*p + 33 = -0*p, t + p + 3 = 0. Let v(s) = 1. Let l(z) = -z + 8. Let y(h) = 2*l(h) - 10*v(h). Does 17 divide y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150918 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61240, 0.1, -8, -0.2 in descending order.\nAnswer: 61240, 0.1, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -23*l - 2. Let t be h(0). Suppose 0 = -4*q + 12. Find the common denominator of -40\/9 and 6\/(-24)*((-162)\/t)\/q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6241 - 253*p**2 - 3119 - 3122.\nAnswer: -253*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8571.\nAnswer: 3, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 210*n**2 + 2*n - 3. Suppose -4*y = -20, 5*y - 15 + 0 = 5*m. Let q be z(m). Let g = q - 562. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 4*n. Determine d, given that -20 - 7*d**3 + n*d**4 + 15*d**2 - 13*d - 7*d + 27*d**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 2*o**2 - o + 2. Let u = 45 + -44. Let n be x(u). What are the prime factors of (-3)\/((2\/n)\/(-5))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579292 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -760.1.\nAnswer: -759.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412546 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4 in descending order.\nAnswer: 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2029 - 887. Suppose 0 = -0*d - 4*d + 5*a + w, -2*d = -3*a - 570. Let q = d + -125. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g + 8. What is c(16)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5 = 2*s, -5*w + 5 + 0 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 - 6*p + 2. Let i be r(6). Let l = 246 - 241. Suppose -7 + i = l*v, -3*g = 2*v - 277. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*v = 53 - 72, 7*v = -k - 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - 1.3. Let w = -12 - -12.1. Which is the nearest to n? (a) -0.2 (b) w (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + (-601)\/12. Let c = 51 + m. Let f = 0.34 - 0.04. Sort f, -0.1, c in decreasing order.\nAnswer: c, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 756 = -53*h + 30*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/50 and (-81)\/(-150) - ((-168)\/40)\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 269. Let g(p) = -5*p + 3. Calculate g(y) - l(y).\nAnswer: -2*y - 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/5))*u**14)\/(u**6)**(-2\/47) assuming u is positive.\nAnswer: u**(3303\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -3, -3\/53, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 24, 293*d - 6 = 290*d - p. What is the remainder when 2113 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - d**2 + d**2 + (-2*d + 1 - 1)*(0*d - 3*d + 2*d) + d**2 + 2*d - 2*d - 2*d**2 + 6*d**2 - 2*d**2 - 2*d**2 + 2*d**2 - 4*d**2 - 7*d**2 + d**2 - d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 37*l**2 + 101. Give q(-37).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8769 and 24411?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 2*(-3)\/2. Suppose -j*x + 31 = -r - 20, r + 5*x = -51. Let o = -53 - r. Let c(t) = -4*t**2 + 2*t + 1. Give c(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:08 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 114 - 118264?\nAnswer: -118150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (281640\/51634)\/((-6)\/(-44)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296 + -902\/3. Sort c, -8, 0.06 in descending order.\nAnswer: 0.06, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 5\/2*x**3 - 12*x**2 + 0 + 0*x - 7\/12*x**4. What is the derivative of b(k) wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12897321511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/(c*c\/((((c**7\/c*c)\/c)\/c)\/c)*c)*c)\/c**13)**(-6\/17))**(-1\/11))**(-45) assuming c is positive.\nAnswer: c**(2430\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2. Let o be (9 - 0)*72\/8. Let h = 83 - o. Let d(m) = 5*m**2 - 16*m**h + 3*m**2 + m**2. Calculate n(d(z)).\nAnswer: 294*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 278890771 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: What is the highest common divisor of 4103 and 6567?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7930?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*r = 343*r + 140. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**6\/3 - 4*h**5\/5 - 11*h**4 - 28*h**3\/3 + 20*h**2 + 32*h + 1481. Let d(x) = 0. What is x?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -725, -983, -1399, -1979, -2729?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/692 - 1413\/20068. Is -0.3 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*b - 0*d + 12, 5*b - 5*d = 30. Let v be 2*-1 - b\/(-3). Suppose -4*i + 2*i + 46 = v. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131950853 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2058\/1 - (6 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 894.2, 0.3?\nAnswer: 894.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r*w**6 + 45*r*w**2 - 5*r*w + 68*w**6 wrt w.\nAnswer: -240*r*w**3 + 8160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.53 (b) -3\/20 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*d**3 + 2 - 1 + 4 + 335*d**3 + 0.\nAnswer: 106*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80251 + -79803.77. Let w = j + 10.77. Let y = -458.0201 + w. What is y rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 18 = 2. Find the common denominator of (236\/(-18))\/(h\/6) and 170\/(-105)*(-3)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21026102 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: Let x = -0.6 - -0.6. Let r = 0.02 + x. Let p = 0.42 - r. Sort p, 5, 0.5 in descending order.\nAnswer: 5, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let n be u(-10). Let z = n - -14. What is the least common multiple of 9 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10) - 1)\/(10 - 6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y - 80 = 0. What are the prime factors of ((-36)\/y)\/((-3)\/16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-10))\/(3\/16). Suppose -t*h - 2*h = -140. Calculate the lowest common multiple of 32 and h.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006230323 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + (3 - (-6 - 0 - -3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1361, 1\/8, 0.4, -3\/2, 17 in decreasing order.\nAnswer: 1361, 17, 0.4, 1\/8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l**3\/3 + 47451240*l**2 + 37961008*l + 22776608\/3 = 0.\nAnswer: -2\/5, 1423538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.06 - -0.06. Let z be (2\/1)\/(-5 + -2). Let t = -83 - -83.4. What is the nearest to y in 2, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20002400 a multiple of 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + ((sqrt(684) + -2*sqrt(684) + sqrt(684))*-5 - sqrt(684)))**2 + -4 - ((5 + sqrt(684)*2)**2 + 5 + -5)).\nAnswer: -2078 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 156 - 16 - 4*1. What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*r**3 - 107*b**3*r**2*x**2 - 2*b**2*r**3 - 4*b**2*r**2*x**2 + 3*b**2*r**2*x - 3*b**2*r wrt b.\nAnswer: -6*r**3 - 642*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323.495 - -252.54. Round z to zero decimal places.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9370 - 9382. Which is greater: -591 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-12) + 2\/(-8). Let d(h) = w - 1 - h. Let r(s) = -s**2 + 2*s - 2. Let c(g) = g**2 - 3*g + 3. Let o(j) = 2*c(j) + 3*r(j). Calculate d(o(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 15, -2*n + 35 = -5*x. Suppose -b - 32 = -2*u + b, 2*b = -n*u + 45. What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))\/(v*v**(-5))*v**(-2)\/(v\/(v**(-1)\/v))*(v**(-2\/25)\/v*v*v*(v*v**(4\/15))\/v*v)**26 assuming v is positive.\nAnswer: v**(4189\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-26))\/(6\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15824 = -3*o, -15792 = -4*u + 45*o - 50*o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -13 (c) -4 (d) 95 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.03 * -0.2\nAnswer: -0.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:20 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908 = -23*b + 11*b. Let y = 1078 - b. What are the prime factors of y?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218424 and 2343384?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 151*y**3 - 24*y - 65. Let b(s) = -303*s**3 + 52*s + 129. Let p = -499 - -512. Let v(j) = p*z(j) + 6*b(j). What is the derivative of v(i) wrt i?\nAnswer: 435*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 + 10*q**3 + 0*q**3.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 13*s**2 - 7*s + 7. Let k(w) = -20*w**2 + 3*w - 3 + 0*w + 14*w**2. Let z(v) = -7*k(v) - 3*o(v). Factor z(q).\nAnswer: -3*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 + 25 + 26)*(-136*a + 134*a - 1 + 5*a**2 - 3*a**2) to the form u*a**2 + c*a + v and give u.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.13 + -3.77. Round p to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 167685\nAnswer: 167684.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*x - 288029, -5*j = 2*x + 47614 + 96393. Let o = x - -143006. Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156295, -312622, -469021, -625528, -782179, -939010, -1096057, -1253356?\nAnswer: -1410943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 29*n + 14. Let u be i(-14). Suppose 2*h = -4*g + u + 4, 2 = -g. What is the smallest common multiple of (0 - -6)*4\/((-20)\/(-35)) and h?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + t - 445 = 0, 0*w = -5*w + 5*t - 735. Let a = 23 - -186. Let i = w + a. Calculate the greatest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74595*r**2 - 46336*r - 5.\nAnswer: -149190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 9*a**2 - 2035117 + 2035117 - 11*a**3. Let l(b) = 17*b**3 + 14*b**2 - 8*b. Let m(t) = 7*t + 1. Let r be m(1). Give r*d(x) + 5*l(x).\nAnswer: -3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:08 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30786899*b**3 + 15504175*b + 1.\nAnswer: -184721394*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**2 + 0*b + 3 - 4*b + 3 + 0. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/25, -0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 10*o. Let k be c(-10). Solve v + 2*v - 3*f + 9 = k, 4*v - 3*f = -11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 + 617. Let f = k - 374.99999862. What is f rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -19 - -18) + -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rrwrwrwwurwwwwr?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22508179.\nAnswer: 19, 829, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 404*v**5 + 1069*v**2 + v?\nAnswer: 24240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 11 + 69. Calculate the highest common factor of i and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*-4*(sqrt(15)\/sqrt(3) + 1 - (sqrt(5) - (sqrt(20) + -2)))**2*-6.\nAnswer: -288*sqrt(5) + 1510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -473*f*q**2 + 436*f*q - 2*f - 5*q**2 + q - 2 wrt q?\nAnswer: -946*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - f + 155, -2*q + f = -49 - 24. What is the remainder when 72 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*u - 4*c, -2*u + 92*c = 90*c + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 89*o - 91*o - 11, -3*y - 7 = o. Put 3, 2, 4, o, -20 in decreasing order.\nAnswer: 4, 3, 2, o, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 51?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 815908 - 783\nAnswer: 815125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(4050) + -1)**2 + -2 + -3.\nAnswer: -90*sqrt(2) + 4045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 7 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147.1588 and 0.4?\nAnswer: -58.86352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprrpp. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -238\/3. Let t = 7.7 - 5.1. Let h = -0.6 + t. Which is the fourth biggest value? (a) 1\/4 (b) h (c) -2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**3 + 22 - 21 + 20*x**3 in the form k*x**2 + g*x**3 + l + p*x and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55924 and 4756.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j + 1. Let t be -18 + 90\/((-18)\/(-3)). Give x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420918 and 136.\nAnswer: 28622424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5115 (base 6) in base 11?\nAnswer: -935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 194*j**3 + 0*j - 2*j + 48 + 44 - 91 + j**2. What is the hundreds digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1389*w + 1413*w - 2808*w + 276*w**3 to the form q*w + s + p*w**2 + g*w**3 and give g.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*o - 517896 = -61854. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 52, -9 in decreasing order.\nAnswer: 52, 1\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*d + 374 + 518*d - 376 + 17*d**2.\nAnswer: 17*d**2 + 905*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2311870?\nAnswer: 2, 5, 11, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*c + 1544 = -13496 - 4430 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 2*d - 1, -76*d + 80*d = -2*f + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 3*n - 33 - 42.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369415679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pappappppappppaa.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 27*q - 50 = 0. Suppose 4 = -2*u + 56. Suppose 28*x = u*x. Which is the third smallest value? (a) -2\/5 (b) x (c) q (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3266*i**2*r**2 + 49*i**2 - 16*i*r**2 + 20*r**2 - 56634*r wrt i.\nAnswer: 6532*i*r**2 + 98*i - 16*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7504 and 3752?\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -372*g**2*z - 3209*g**2 - 2*g*z wrt z.\nAnswer: -372*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8268407 is divided by 276?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwslmlmwwwlwwwlww. What is prob of sequence lw?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -364, -358, -360, -370, -388?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 3 + 0*n**2 + 14.\nAnswer: -3*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -50.9. Let a = -1112 - -1115. What is the nearest to x in a, 19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:34 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}